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&lt;p&gt;&lt;strong&gt;Data Mining, Data Warehousing and Data
Visualization&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;III B.Sc. Data Science | Course Code: 22SCCDS5&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;1. Define data mining and state two
applications.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer: Data mining is the process of discovering useful patterns,
relationships and knowledge from large datasets using statistical,
machine-learning and database techniques.&lt;/p&gt;
&lt;p&gt;Applications:&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;Fraud detection in banking.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Market-basket analysis in retail.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;&lt;strong&gt;2. Differentiate between mean and median.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Mean: The sum of all observations divided by the number of
observations.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Median: The middle value when observations are arranged in
ascending or descending order.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Example: For 2, 4, 6, 8, 100, the mean is 24 and the median is 6. The
median is less affected by extreme values.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;3. State the Apriori principle.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer: The Apriori principle states that every non-empty subset of a
frequent itemset must also be frequent.&lt;/p&gt;
&lt;p&gt;Conversely, if an itemset is infrequent, all its supersets must also
be infrequent. This property reduces the number of candidate itemsets
examined.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;4. Why are cluster quality and validity measures
important?&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer: Cluster quality measures help determine whether the resulting
clusters are meaningful and well separated.&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Cohesion: Measures how closely related objects within a cluster
are.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Separation: Measures how distinct one cluster is from
another.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Measures such as the silhouette coefficient help compare clustering
solutions.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;5. Define OLAP and mention two applications.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer: OLAP stands for Online Analytical Processing. It enables
multidimensional analysis of large amounts of data for
decision-making.&lt;/p&gt;
&lt;p&gt;Applications:&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;Sales and revenue analysis.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Financial planning and forecasting.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;&lt;strong&gt;1. Describe the Apriori algorithm with an
example.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Definition: Apriori is an association-rule mining algorithm used to
identify frequent itemsets in transactional databases and generate
association rules.&lt;/p&gt;
&lt;p&gt;Steps:&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;Select a minimum-support threshold.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Find frequent one-itemsets, \(L_1\).&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Generate candidate two-itemsets, \(C_2\).&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Remove candidates whose support is below the threshold.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Repeat the process for larger itemsets until no more frequent
itemsets are found.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Generate association rules using minimum confidence.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Example: Consider five transactions.&lt;/p&gt;
&lt;table style=&quot;width:36%;&quot;&gt;
&lt;colgroup&gt;
&lt;col style=&quot;width: 14%&quot; /&gt;
&lt;col style=&quot;width: 21%&quot; /&gt;
&lt;/colgroup&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Transaction&lt;/strong&gt;&lt;/th&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Items purchased&lt;/strong&gt;&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;T1&lt;/td&gt;
&lt;td&gt;Bread, Milk&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;T2&lt;/td&gt;
&lt;td&gt;Bread, Butter&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;T3&lt;/td&gt;
&lt;td&gt;Bread, Milk, Butter&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;T4&lt;/td&gt;
&lt;td&gt;Milk, Butter&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;T5&lt;/td&gt;
&lt;td&gt;Bread, Milk&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;Let minimum support be 40%, or 2 transactions.&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Support(Bread) = 4/5 = 80%.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Support(Milk) = 4/5 = 80%.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Support(Butter) = 3/5 = 60%.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Support(Bread, Milk) = 3/5 = 60%.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Support(Bread, Butter) = 2/5 = 40%.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Support(Milk, Butter) = 2/5 = 40%.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;All three pairs satisfy the minimum-support threshold.&lt;/p&gt;
&lt;p&gt;For the rule Bread → Milk:&lt;/p&gt;
&lt;p&gt;\[ \text{Confidence}=\frac{3}{4}\times100=75\% \]&lt;/p&gt;
&lt;p&gt;Therefore, 75% of transactions containing bread also contain
milk.&lt;/p&gt;
&lt;p&gt;Conclusion: Apriori identifies frequent purchasing combinations and
supports product placement, cross-selling and recommendation
systems.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;2. Discuss how association rules support customer
segmentation and direct marketing.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;Association-rule mining identifies products, services or customer
behaviors that frequently occur together.&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;Customer segmentation: Groups customers according to purchasing
patterns, interests and preferences.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Cross-selling: Recommends related products based on previous
purchases.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Personalized offers: Provides discounts on products that match
customer interests.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Campaign optimization: Helps select suitable customers for email,
SMS and promotional campaigns.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Customer retention: Identifies behavior patterns that can support
loyalty programs.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Example: If customers frequently purchase a laptop with a laptop bag,
the retailer can offer a discounted bag during laptop purchases.&lt;/p&gt;
&lt;p&gt;Conclusion: Association rules improve marketing relevance, customer
satisfaction and sales opportunities. However, customer privacy and the
quality of the data must be considered.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;3. Analyze the importance of multidimensional data
visualization in decision-making.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;Multidimensional data visualization presents data across several
attributes or dimensions, helping users identify relationships, trends
and unusual patterns.&lt;/p&gt;
&lt;p&gt;Importance:&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;Trend identification: Shows changes over time.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Comparison: Compares products, departments or regions.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Relationship discovery: Identifies relationships among
variables.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Outlier detection: Highlights unusual observations.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Decision support: Converts complex data into understandable
visual information.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Common techniques:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Scatter plots for relationships between numerical
variables.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Heat maps for comparing values across two dimensions.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Parallel-coordinate plots for multiple numerical
attributes.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Bubble charts for representing three numerical
variables.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Dashboards for combining several charts and indicators.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Example: A retail dashboard can display sales by region, product
category and month to help managers identify underperforming
regions.&lt;/p&gt;
&lt;p&gt;Conclusion: Suitable multidimensional visualization improves
understanding and supports evidence-based decisions.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;4. Describe the major applications, techniques, future
opportunities and limitations of data mining.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;Applications&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;Banking: fraud detection and credit-risk analysis.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Retail: market-basket analysis and recommendations.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Healthcare: analysis of clinical and operational data.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Education: student-performance analysis.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Telecommunications: customer churn analysis.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Techniques&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Classification&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Clustering&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Association-rule mining&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Regression and prediction&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Outlier detection&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Future opportunities&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Artificial intelligence integration.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Real-time analysis of streaming data.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;IoT and sensor-data mining.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Personalized services.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Predictive maintenance.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Limitations&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Incomplete or inaccurate data.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Privacy and security risks.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;High computational requirements.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Algorithmic bias.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Difficulty interpreting some complex models.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Conclusion: Data mining provides valuable insights when supported by
good-quality data, suitable algorithms and responsible data
practices.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;5. Discuss the desired features and quality measures of
cluster analysis.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;Cluster analysis groups similar objects together without requiring
predefined class labels.&lt;/p&gt;
&lt;p&gt;Desired features of a clustering method:&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;Scalability for large datasets.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Ability to handle different data types.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Identification of clusters with different shapes and
sizes.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Robustness to noise and outliers.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Limited dependence on arbitrary parameter choices.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Interpretability of the resulting clusters.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Quality measures:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Within-cluster cohesion: Objects within a cluster should be
similar.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Between-cluster separation: Different clusters should be
distinct.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Silhouette coefficient: Combines cohesion and separation; higher
values generally indicate better-defined clusters.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Davies–Bouldin index: Lower values generally indicate better
separation relative to within-cluster spread.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Domain usefulness: Clusters should be meaningful for the
application.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Conclusion: A good clustering solution balances compactness,
separation, robustness and practical usefulness.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;6. Explain decision-tree construction and the role of split
algorithms.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;A decision tree is a supervised learning model that classifies
records through a sequence of attribute-based decisions.&lt;/p&gt;
&lt;p&gt;Construction steps:&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;Start with the complete training dataset.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Select the best attribute for splitting.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Divide the dataset into subsets according to the selected
attribute.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Repeat the process recursively for each subset.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Stop when a node is sufficiently pure, no useful split remains or
a stopping condition is reached.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Assign a class label to each leaf node.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Prune the tree when necessary to reduce overfitting.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Role of split algorithms:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Information gain: Measures the reduction in entropy after a
split.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Gain ratio: Adjusts information gain to reduce bias toward
attributes with many distinct values.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Gini index: Measures class impurity.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Example: A bank may classify loan applications using income, credit
score and repayment history.&lt;/p&gt;
&lt;p&gt;Conclusion: Split algorithms determine how effectively a decision
tree separates classes and influences its accuracy and complexity.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;7. Analyze common visualization mistakes and explain best
practices for effective communication.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;Common mistakes&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;Using an inappropriate chart type.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Omitting axis labels or measurement units.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Using misleading or truncated axes.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Applying excessive colors and decorative effects.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Presenting too much information in a single chart.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Ignoring the audience and purpose.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Omitting data sources or necessary context.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Best practices&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;Select charts according to the analytical question.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Use clear titles, labels and legends.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Choose appropriate and consistent scales.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Use colors meaningfully and maintain sufficient
contrast.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Highlight important findings without distorting the
data.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Include units, sources and relevant time periods.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Check readability and accessibility.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Example: A bar chart comparing sales across branches should use
clearly labeled branches and a scale that does not exaggerate small
differences.&lt;/p&gt;
&lt;p&gt;Conclusion: Accurate, simple and audience-focused visualizations
improve understanding and prevent misleading interpretations.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;8. Discuss the developments in data visualization and their
role in decision-making.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;Data visualization has evolved from static charts to interactive and
intelligent visual systems.&lt;/p&gt;
&lt;p&gt;Major developments&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;Traditional statistical charts.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Computer-based graphical analysis.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Interactive dashboards and business intelligence.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Geographic information systems and mapping.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Real-time streaming dashboards.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Interactive multidimensional visualizations.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;AI-assisted visualization and natural-language querying.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Role in decision-making&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Identifies trends and patterns.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Enables quick comparison.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Supports monitoring of key performance indicators.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Highlights exceptions and risks.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Communicates findings to non-technical users.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Supports faster evidence-based decisions.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Example: A college dashboard can show attendance, examination
performance and department-wise results to support academic
planning.&lt;/p&gt;
&lt;p&gt;Conclusion: Modern visualization systems improve the speed,
accessibility and quality of decisions when the underlying data and
presentation are reliable.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;9. Explain methods used to estimate and improve the
predictive accuracy of classifiers.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;Predictive accuracy measures how effectively a classification model
predicts the correct class for unseen observations.&lt;/p&gt;
&lt;p&gt;Methods for estimating accuracy&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;Holdout method: Split data into training and test sets.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;k-fold cross-validation: Divide data into \(k\) folds, train on
\(k-1\) folds and test on the remaining fold; repeat until every fold
has served as the test set.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Stratified cross-validation: Preserves approximate class
proportions in each fold.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Confusion matrix: Summarizes true positives, true negatives,
false positives and false negatives.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Measures&lt;/p&gt;
&lt;p&gt;\[ \text{Accuracy}=\frac{TP+TN}{TP+TN+FP+FN} \]&lt;/p&gt;
&lt;p&gt;Precision, recall and F1-score provide additional information,
especially for imbalanced datasets.&lt;/p&gt;
&lt;p&gt;Methods for improving accuracy&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Improve data quality.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Select relevant features.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Tune model parameters.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Use suitable algorithms.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Apply regularization or pruning.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Handle class imbalance.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Avoid data leakage.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Evaluate the model on unseen data.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Conclusion: Reliable evaluation and careful model improvement help
achieve better generalization.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;10. Describe multidimensional views, data cubes and their
implementations.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;A multidimensional data model represents information using facts,
measures and dimensions.&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Facts: Events being analyzed, such as sales.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Measures: Numerical values, such as revenue and
quantity.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Dimensions: Perspectives such as time, product and
region.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Example: A sales cube can contain revenue by product, region and
quarter.&lt;/p&gt;
&lt;p&gt;TIME&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;PRODUCT --+-- REGION&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;SALES CUBE&lt;/p&gt;
&lt;p&gt;Major cube operations&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;Roll-up: Summarizes detailed data, such as daily sales into
monthly sales.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Drill-down: Moves from monthly sales to daily sales.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Slice: Selects one value of a dimension, such as the year
2026.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Dice: Selects a subset across multiple dimensions.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Pivot: Rotates the cube&#39;s dimensions to provide another
view.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Implementations&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;ROLAP: Uses relational database tables.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;MOLAP: Uses multidimensional storage structures.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;HOLAP: Combines relational and multidimensional storage.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Conclusion: Data cubes allow users to analyze business measures from
multiple perspectives efficiently.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;11. Explain the complete data mining process with a neat
diagram.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;Data mining is a systematic process of extracting useful patterns and
knowledge from large datasets.&lt;/p&gt;
&lt;p&gt;Stages of the data mining process&lt;/p&gt;
&lt;p&gt;Data Sources&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Data Collection&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Data Cleaning&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Data Integration&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Data Selection&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Data Transformation&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Data Mining&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Pattern Evaluation&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Knowledge Presentation&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Decision-Making&lt;/p&gt;
&lt;p&gt;1. Data collection&lt;/p&gt;
&lt;p&gt;Data is collected from databases, files, websites, sensors and
transaction systems.&lt;/p&gt;
&lt;p&gt;2. Data cleaning&lt;/p&gt;
&lt;p&gt;Missing values, duplicate records, noise and inconsistencies are
handled.&lt;/p&gt;
&lt;p&gt;3. Data integration&lt;/p&gt;
&lt;p&gt;Data from multiple sources is combined into a consistent dataset.&lt;/p&gt;
&lt;p&gt;4. Data selection&lt;/p&gt;
&lt;p&gt;Only relevant records and attributes are selected for the analytical
task.&lt;/p&gt;
&lt;p&gt;5. Data transformation&lt;/p&gt;
&lt;p&gt;Data is normalized, aggregated, encoded or otherwise transformed into
a suitable format.&lt;/p&gt;
&lt;p&gt;6. Data mining&lt;/p&gt;
&lt;p&gt;An appropriate algorithm is applied.&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Classification predicts predefined categories.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Clustering discovers groups.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Association-rule mining identifies co-occurring items.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Regression predicts numerical values.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Outlier detection identifies unusual observations.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;7. Pattern evaluation&lt;/p&gt;
&lt;p&gt;Patterns are evaluated for accuracy, usefulness, significance and
relevance.&lt;/p&gt;
&lt;p&gt;8. Knowledge presentation&lt;/p&gt;
&lt;p&gt;Results are communicated through reports, charts, dashboards and
interpretable rules.&lt;/p&gt;
&lt;p&gt;9. Decision-making&lt;/p&gt;
&lt;p&gt;The findings support practical decisions, such as fraud prevention or
inventory planning.&lt;/p&gt;
&lt;p&gt;Example: Retail sales analysis&lt;/p&gt;
&lt;p&gt;A retailer collects transaction records, cleans duplicate entries,
prepares product data, mines purchasing combinations and identifies
products frequently purchased together. The retailer then uses these
findings to improve product placement and recommendations.&lt;/p&gt;
&lt;p&gt;Applications: Banking, healthcare, education, retail,
telecommunications and manufacturing.&lt;/p&gt;
&lt;p&gt;Conclusion: The data mining process converts raw data into actionable
knowledge. It is iterative: results may lead to further data preparation
or model improvement.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;12. Design a customer-value mining and direct-marketing
framework using association rules.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;Customer-value mining identifies valuable customer groups and
purchasing patterns. Association rules help marketers develop relevant
promotional strategies.&lt;/p&gt;
&lt;p&gt;Framework&lt;/p&gt;
&lt;p&gt;Customer and Transaction Data&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Data Cleaning&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Customer Feature Creation&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Frequent-Itemset Mining&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Association-Rule Generation&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Rule Evaluation and Filtering&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Customer Segmentation&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Personalized Marketing Campaign&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Performance Evaluation&lt;/p&gt;
&lt;p&gt;1. Data collection&lt;/p&gt;
&lt;p&gt;Collect purchase history, customer profiles, transaction values and
campaign responses.&lt;/p&gt;
&lt;p&gt;2. Data preprocessing&lt;/p&gt;
&lt;p&gt;Remove duplicate records, handle missing values and standardize
product and customer identifiers.&lt;/p&gt;
&lt;p&gt;3. Customer-value estimation&lt;/p&gt;
&lt;p&gt;Possible measures include:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Total customer spending.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Purchase frequency.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Average transaction value.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Recency of the last purchase.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Profit contribution.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;4. Frequent-itemset mining&lt;/p&gt;
&lt;p&gt;Use Apriori or FP-Growth to identify combinations of products that
frequently occur together.&lt;/p&gt;
&lt;p&gt;5. Association-rule generation&lt;/p&gt;
&lt;p&gt;For a rule \(X\rightarrow Y\):&lt;/p&gt;
&lt;p&gt;\[ \text{Support}(X\rightarrow Y)=P(X\cup Y) \]&lt;/p&gt;
&lt;p&gt;\[ \text{Confidence}(X\rightarrow Y)=P(Y\mid X) \]&lt;/p&gt;
&lt;p&gt;\[ \text{Lift}(X\rightarrow Y)= \frac{P(Y\mid X)}{P(Y)} \]&lt;/p&gt;
&lt;p&gt;A lift greater than 1 indicates positive association under the usual
interpretation.&lt;/p&gt;
&lt;p&gt;6. Customer segmentation&lt;/p&gt;
&lt;p&gt;Customers can be grouped using spending, purchasing frequency,
product interests and response history.&lt;/p&gt;
&lt;p&gt;7. Direct marketing&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Send personalized offers.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Recommend complementary products.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Develop loyalty campaigns.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Offer relevant bundles.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Target customers with suitable promotions.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Example: Customers who frequently buy smartphones and protective
cases may be offered a screen protector or accessory bundle.&lt;/p&gt;
&lt;p&gt;8. Performance evaluation&lt;/p&gt;
&lt;p&gt;Measure conversion rate, revenue, campaign cost, customer retention
and incremental profit. A holdout group can help determine whether a
campaign actually caused an improvement.&lt;/p&gt;
&lt;p&gt;9. Ethical considerations&lt;/p&gt;
&lt;p&gt;Use customer information responsibly, restrict access to sensitive
data and comply with applicable privacy requirements.&lt;/p&gt;
&lt;p&gt;Conclusion: Combining customer-value measures and association rules
can make direct marketing more relevant and efficient.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;13. Explain decision-tree classification and Naïve Bayes in
detail.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;Classification is a supervised learning technique that assigns
records to predefined classes using a model learned from labeled
training data.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;A. Decision-tree classification&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;A decision tree contains a root node, internal decision nodes,
branches and leaf nodes.&lt;/p&gt;
&lt;p&gt;Construction:&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;Prepare labeled training data.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Select the best splitting attribute using information gain, gain
ratio or Gini index.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Partition the records according to the selected
attribute.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Repeat recursively.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Stop when a stopping criterion is satisfied.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Prune unnecessary branches when needed.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Use the tree to classify new records.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Entropy:&lt;/p&gt;
&lt;p&gt;\[ H(S)=-\sum_i p_i\log_2 p_i \]&lt;/p&gt;
&lt;p&gt;Information gain is:&lt;/p&gt;
&lt;p&gt;\[ IG(S,A)=H(S)-\sum_v \frac{|S_v|}{|S|}H(S_v) \]&lt;/p&gt;
&lt;p&gt;The attribute with the highest information gain is selected in the
basic information-gain approach.&lt;/p&gt;
&lt;p&gt;Example:&lt;/p&gt;
&lt;p&gt;Credit Score?&lt;/p&gt;
&lt;p&gt;/ \&lt;/p&gt;
&lt;p&gt;Good Poor&lt;/p&gt;
&lt;p&gt;| |&lt;/p&gt;
&lt;p&gt;Approve Review&lt;/p&gt;
&lt;p&gt;The actual decision depends on the training data and the rules
selected.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;B. Naïve Bayes classification&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Naïve Bayes is a probabilistic classifier based on Bayes’
theorem.&lt;/p&gt;
&lt;p&gt;\[ P(C\mid X)=\frac{P(X\mid C)P(C)}{P(X)} \]&lt;/p&gt;
&lt;p&gt;Here:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;\(P(C)\): Prior probability of class \(C\).&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;\(P(X\mid C)\): Likelihood of the observed attributes.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;\(P(C\mid X)\): Posterior probability of the class.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;The naïve assumption is that attributes are conditionally independent
given the class.&lt;/p&gt;
&lt;p&gt;For multiple attributes:&lt;/p&gt;
&lt;p&gt;\[ P(C\mid X)\propto P(C)\prod_i P(x_i\mid C) \]&lt;/p&gt;
&lt;p&gt;The classifier selects the class with the highest posterior
probability.&lt;/p&gt;
&lt;p&gt;Example: An email classifier estimates whether a message is spam
using word frequencies and the probabilities learned from labeled
emails.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Comparison&lt;/strong&gt;&lt;/p&gt;
&lt;table style=&quot;width:99%;&quot;&gt;
&lt;colgroup&gt;
&lt;col style=&quot;width: 19%&quot; /&gt;
&lt;col style=&quot;width: 31%&quot; /&gt;
&lt;col style=&quot;width: 47%&quot; /&gt;
&lt;/colgroup&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Feature&lt;/strong&gt;&lt;/th&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Decision tree&lt;/strong&gt;&lt;/th&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Naïve Bayes&lt;/strong&gt;&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;Basic idea&lt;/td&gt;
&lt;td&gt;Decision rules&lt;/td&gt;
&lt;td&gt;Probability&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Interpretability&lt;/td&gt;
&lt;td&gt;Usually high&lt;/td&gt;
&lt;td&gt;Often straightforward&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Main assumption&lt;/td&gt;
&lt;td&gt;Depends on splitting method&lt;/td&gt;
&lt;td&gt;Conditional independence&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Training&lt;/td&gt;
&lt;td&gt;Repeated data partitioning&lt;/td&gt;
&lt;td&gt;Probability estimation&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Limitation&lt;/td&gt;
&lt;td&gt;Can overfit without control&lt;/td&gt;
&lt;td&gt;Correlated features may affect performance&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;Accuracy estimation: Use holdout testing or cross-validation and
report accuracy, precision, recall and F1-score as appropriate.&lt;/p&gt;
&lt;p&gt;Conclusion: Both algorithms support classification, but their
suitability depends on the dataset, interpretability requirements and
predictive performance.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;14. Explain data warehouse architecture and Operational Data
Stores with a neat diagram.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;A data warehouse is a centralized repository of integrated data
designed primarily for analysis, reporting and decision-making.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Architecture&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Operational Databases External Data&lt;/p&gt;
&lt;p&gt;\ /&lt;/p&gt;
&lt;p&gt;\ /&lt;/p&gt;
&lt;p&gt;v v&lt;/p&gt;
&lt;p&gt;ETL / ELT PROCESS&lt;/p&gt;
&lt;p&gt;(Extract, Transform, Load)&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Staging Area&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Operational Data&lt;/p&gt;
&lt;p&gt;Store (ODS)&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Enterprise Data&lt;/p&gt;
&lt;p&gt;Warehouse&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;+--------+--------+&lt;/p&gt;
&lt;p&gt;| |&lt;/p&gt;
&lt;p&gt;v v&lt;/p&gt;
&lt;p&gt;Data Marts OLAP / Cubes&lt;/p&gt;
&lt;p&gt;| |&lt;/p&gt;
&lt;p&gt;+--------+--------+&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Reports and Dashboards&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Decision-Making&lt;/p&gt;
&lt;p&gt;This is a conceptual architecture; actual systems may place the ODS,
staging area and transformation processes differently.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Components&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;1. Data sources: Operational databases, files, applications and
external systems.&lt;/p&gt;
&lt;p&gt;2. ETL/ELT: Extracts, transforms and loads data. Transformation
includes cleaning, integration and standardization.&lt;/p&gt;
&lt;p&gt;3. Staging area: Temporarily holds data during preparation.&lt;/p&gt;
&lt;p&gt;4. Operational Data Store (ODS): Integrates relatively current
operational data for operational reporting and short-term analysis. It
is not necessarily the long-term historical repository.&lt;/p&gt;
&lt;p&gt;5. Enterprise data warehouse: Maintains integrated data for
enterprise-wide analytical use, often including historical
information.&lt;/p&gt;
&lt;p&gt;6. Data marts: Provide subject-specific data for departments such as
sales, finance or human resources.&lt;/p&gt;
&lt;p&gt;7. OLAP and reporting tools: Support multidimensional analysis,
dashboards and business reports.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Characteristics of a data warehouse&lt;/strong&gt;&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Subject-oriented.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Integrated.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Time-variant.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Nonvolatile in its analytical design, although refreshes and
corrections can occur.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;&lt;strong&gt;Benefits&lt;/strong&gt;&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;Integrates information from multiple sources.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Improves consistency in reporting.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Supports historical trend analysis.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Separates analytical workloads from many operational
workloads.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Supports strategic planning.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Conclusion: The ODS and data warehouse serve complementary purposes:
the ODS supports relatively current operational views, while the
warehouse supports broader historical and analytical needs.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;15. Explain the conceptual framework of data visualization
techniques with examples.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;Data visualization converts data into visual representations so that
people can recognize patterns, understand relationships and make
decisions.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Conceptual framework&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Raw Data&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Processing&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Information&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Knowledge&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Insight&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Decision-Making&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Data: Raw facts, such as individual student marks.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Information: Organized data, such as department-wise average
marks.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Knowledge: Understanding patterns, such as consistently low
performance in a subject.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Insight: A meaningful interpretation suggesting a possible reason
or opportunity.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Decision: An action based on the findings.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;&lt;strong&gt;Common visualization techniques&lt;/strong&gt;&lt;/p&gt;
&lt;table&gt;
&lt;colgroup&gt;
&lt;col style=&quot;width: 13%&quot; /&gt;
&lt;col style=&quot;width: 53%&quot; /&gt;
&lt;col style=&quot;width: 33%&quot; /&gt;
&lt;/colgroup&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Technique&lt;/strong&gt;&lt;/th&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Purpose&lt;/strong&gt;&lt;/th&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Example&lt;/strong&gt;&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;Bar chart&lt;/td&gt;
&lt;td&gt;Compare categories&lt;/td&gt;
&lt;td&gt;Department-wise results&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Line chart&lt;/td&gt;
&lt;td&gt;Show trends&lt;/td&gt;
&lt;td&gt;Monthly sales&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Histogram&lt;/td&gt;
&lt;td&gt;Show numerical distribution&lt;/td&gt;
&lt;td&gt;Examination marks&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Scatter plot&lt;/td&gt;
&lt;td&gt;Examine relationships&lt;/td&gt;
&lt;td&gt;Attendance versus marks&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Heat map&lt;/td&gt;
&lt;td&gt;Compare values using color&lt;/td&gt;
&lt;td&gt;Subject-wise performance&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Box plot&lt;/td&gt;
&lt;td&gt;Summarize distribution and identify potential outliers&lt;/td&gt;
&lt;td&gt;Salary distribution&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Dashboard&lt;/td&gt;
&lt;td&gt;Combine multiple indicators&lt;/td&gt;
&lt;td&gt;College performance monitoring&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;&lt;strong&gt;Visualization planning&lt;/strong&gt;&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;Identify the question to be answered.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Understand the audience.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Determine the data types.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Choose a suitable visual representation.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Select clear scales, colors and labels.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Verify that the chart accurately represents the data.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Present the findings with appropriate context.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;&lt;strong&gt;Importance&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Visualization reduces complexity, reveals trends, supports
comparisons and helps communicate analytical results.&lt;/p&gt;
&lt;p&gt;Example: A college dashboard combines attendance, examination results
and enrollment data to identify departments that may need additional
academic support.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;11. What is data preprocessing? Mention two
tasks.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Data preprocessing is the process of preparing raw data for analysis
by improving its quality and suitability.&lt;/p&gt;
&lt;p&gt;Two tasks are:&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;Handling missing values.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Detecting and treating noise, outliers or inconsistent
data.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;&lt;strong&gt;12. What is the purpose of Apriori-TID?&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Apriori-TID is a variant of the Apriori algorithm that uses candidate
itemsets associated with transaction identifiers rather than repeatedly
relying only on the original transaction database representation.&lt;/p&gt;
&lt;p&gt;It can reduce database access during later iterations when the
candidate representation becomes more efficient.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;13. Define classification.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Classification is a supervised machine-learning task in which a model
learns from labeled examples and predicts predefined class labels for
new records.&lt;/p&gt;
&lt;p&gt;Example: Classifying email messages as spam or not spam.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;14. Differentiate between slice and dice
operations.&lt;/strong&gt;&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Slice: Fixes one dimension to a single value. Example: sales for
2026 only.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Dice: Selects a subset using multiple conditions or ranges across
dimensions. Example: sales for selected products, regions and
quarters.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;&lt;strong&gt;15. What is visualization fit?&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Visualization fit is the suitability of a visual representation for
the data, analytical question, intended audience and communication
goal.&lt;/p&gt;
&lt;p&gt;For example, a line chart is suitable for showing monthly sales
trends, while a bar chart is suitable for comparing branches.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;16. Explain missing-data handling methods and outlier
detection techniques.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;Missing data occurs when values are unavailable for one or more
attributes. Outliers are observations that differ substantially from the
general pattern.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Missing-data handling methods&lt;/strong&gt;&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;Deletion: Remove records or attributes when justified and when
sufficient data remains.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Mean imputation: Replace missing numerical values with the
mean.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Median imputation: Use the median when data contains extreme
values or is skewed.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Mode imputation: Replace missing categorical values with the most
frequent category.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Model-based imputation: Estimate missing values using suitable
statistical or machine-learning models.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;&lt;strong&gt;Outlier detection methods&lt;/strong&gt;&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;Z-score: Identifies observations far from the mean in
standard-deviation units.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;IQR method: Flags observations outside the usual \(1.5\times
IQR\) fences.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Box plot: Visually displays the distribution and potential
outliers.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Clustering: Identifies observations that do not fit the major
groups.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Isolation Forest or other anomaly detectors: Identifies unusual
observations using model-based approaches.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Example: In salary data, a median may be more representative than a
mean when a few executive salaries are extremely high.&lt;/p&gt;
&lt;p&gt;Conclusion: Missing values and outliers should be investigated
carefully. An outlier may represent an error or a genuine, important
event.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;17. Compare statistical and graphical methods for summarizing
data.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;Statistical methods summarize data using numerical measurements,
while graphical methods present patterns visually.&lt;/p&gt;
&lt;table style=&quot;width:50%;&quot;&gt;
&lt;colgroup&gt;
&lt;col style=&quot;width: 27%&quot; /&gt;
&lt;col style=&quot;width: 22%&quot; /&gt;
&lt;/colgroup&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Statistical
methods&lt;/strong&gt;&lt;/th&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Graphical methods&lt;/strong&gt;&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;Mean and median&lt;/td&gt;
&lt;td&gt;Histogram&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Mode&lt;/td&gt;
&lt;td&gt;Bar chart&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Range and variance&lt;/td&gt;
&lt;td&gt;Box plot&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Standard deviation&lt;/td&gt;
&lt;td&gt;Scatter plot&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Quartiles and percentiles&lt;/td&gt;
&lt;td&gt;Line chart&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;Statistical methods&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Provide precise numerical summaries.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Enable quantitative comparison.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Support further calculations.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;May conceal complex patterns when only a few statistics are
reported.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Graphical methods&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Make distributions and trends easier to recognize.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Help identify clusters, gaps and potential outliers.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Support communication to non-technical audiences.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Can mislead if axes, scales or chart types are
inappropriate.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Example: A dataset&#39;s mean and standard deviation summarize its center
and spread, while a histogram shows whether the distribution is skewed
or multimodal.&lt;/p&gt;
&lt;p&gt;Conclusion: Statistical and graphical methods are complementary and
should be used together.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;19. Explain how Apriori-TID, DHP and DIC improve or modify
frequent-itemset mining.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;These algorithms are designed to discover frequent itemsets while
reducing the computational cost of mining.&lt;/p&gt;
&lt;p&gt;1. Apriori-TID&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Uses candidate itemsets associated with transaction
identifiers.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;After the initial iteration, it can operate on this alternative
representation rather than repeatedly scanning the original transaction
format.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;It can be efficient when the candidate representation becomes
smaller than the original database.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;It may be expensive when the representation becomes
large.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;2. DHP (Direct Hashing and Pruning)&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Uses hashing to reduce candidate itemsets.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Hash-table bucket counts help eliminate candidate pairs that
cannot satisfy minimum support.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Prunes transactions by removing items that cannot participate in
frequent itemsets.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Reduces candidate generation and database-processing
costs.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;3. DIC (Dynamic Itemset Counting)&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Introduces candidate itemsets dynamically during database
scanning.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Uses checkpoints to evaluate itemset support.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Can reduce the need to wait for complete scans before introducing
new candidates.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Its performance depends on data distribution and checkpoint
settings.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Comparison&lt;/p&gt;
&lt;table style=&quot;width:67%;&quot;&gt;
&lt;colgroup&gt;
&lt;col style=&quot;width: 14%&quot; /&gt;
&lt;col style=&quot;width: 52%&quot; /&gt;
&lt;/colgroup&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Algorithm&lt;/strong&gt;&lt;/th&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Main idea&lt;/strong&gt;&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;Apriori-TID&lt;/td&gt;
&lt;td&gt;Alternative transaction–candidate representation&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;DHP&lt;/td&gt;
&lt;td&gt;Hashing and pruning&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;DIC&lt;/td&gt;
&lt;td&gt;Dynamic introduction of candidates&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;Conclusion: Each method attempts to reduce some cost of basic
Apriori, but no single method is guaranteed to be best for every
dataset.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;18. Discuss how association rules can support direct
marketing.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;Association rules identify relationships among products or customer
activities.&lt;/p&gt;
&lt;p&gt;For a rule \(X\rightarrow Y\):&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Support measures how often \(X\) and \(Y\) occur
together.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Confidence measures how often \(Y\) occurs when \(X\)
occurs.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Lift compares the observed co-occurrence with what would be
expected under independence.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Applications&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;Recommend related products.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Design product bundles.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Send personalized promotional messages.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Identify useful cross-selling opportunities.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Improve campaign targeting.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Support customer-retention strategies.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Example: If customers buying printers often purchase ink cartridges,
a retailer may recommend cartridges to relevant printer buyers.&lt;/p&gt;
&lt;p&gt;Marketing success should be evaluated using conversion rates,
incremental revenue and customer retention rather than rule confidence
alone.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;20. Describe the Bayes classification method.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;Bayes classification uses probability theory to predict the class of
an observation.&lt;/p&gt;
&lt;p&gt;Bayes’ theorem is:&lt;/p&gt;
&lt;p&gt;\[ P(C\mid X)=\frac{P(X\mid C)P(C)}{P(X)} \]&lt;/p&gt;
&lt;p&gt;Where:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;\(C\) is a class.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;\(X\) is an observed feature set.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;\(P(C)\) is the prior probability.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;\(P(X\mid C)\) is the likelihood.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;\(P(C\mid X)\) is the posterior probability.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Procedure:&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;Obtain labeled training data.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Estimate prior class probabilities.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Estimate the likelihood of the observed features for each
class.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Calculate posterior probabilities.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Assign the observation to the class with the highest posterior
probability.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Example: A medical decision-support model may estimate the
probability of a category based on observed symptoms. Such a model
requires appropriate validation and should not replace professional
diagnosis.&lt;/p&gt;
&lt;p&gt;Advantages: Simple, computationally efficient and often effective for
high-dimensional data.&lt;/p&gt;
&lt;p&gt;Limitation: Naïve Bayes assumes conditional independence among
features given the class, an assumption that may not hold in real
datasets.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;21. Discuss the quality measures of cluster
analysis.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;Clustering quality measures help determine whether objects are
grouped meaningfully.&lt;/p&gt;
&lt;p&gt;1. Within-cluster cohesion: Measures similarity among objects in the
same cluster. Higher cohesion is generally desirable.&lt;/p&gt;
&lt;p&gt;2. Between-cluster separation: Measures differences among distinct
clusters. Greater separation is generally desirable.&lt;/p&gt;
&lt;p&gt;3. Silhouette coefficient: Compares an object&#39;s average
within-cluster distance with its average distance to the nearest
alternative cluster.&lt;/p&gt;
&lt;p&gt;\[ s(i)=\frac{b(i)-a(i)}{\max(a(i),b(i))} \]&lt;/p&gt;
&lt;p&gt;Here, \(a(i)\) is the average distance within its cluster and
\(b(i)\) is the lowest average distance to another cluster. Values
closer to 1 generally indicate better assignment.&lt;/p&gt;
&lt;p&gt;4. Davies–Bouldin index: Compares within-cluster scatter with
distances between cluster centers. Lower values generally indicate
better clustering.&lt;/p&gt;
&lt;p&gt;5. Domain validity: Checks whether clusters have useful real-world
meaning.&lt;/p&gt;
&lt;p&gt;Conclusion: A suitable clustering assessment combines numerical
measures with knowledge of the data and intended application.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;23. Describe multidimensional views and their
implementations.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;A multidimensional view organizes measures by several dimensions,
enabling analysis from different perspectives.&lt;/p&gt;
&lt;p&gt;Components&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Facts: Events being measured, such as sales.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Measures: Revenue, quantity or profit.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Dimensions: Product, time, customer and region.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Hierarchies: Levels such as day → month → year.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Example: A sales cube analyzes revenue by product, region and
quarter.&lt;/p&gt;
&lt;p&gt;Implementation methods&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;ROLAP: Stores data in relational tables and performs analytical
operations through relational database technology.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;MOLAP: Uses multidimensional storage structures and precomputed
or optimized cube data.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;HOLAP: Combines relational storage with multidimensional
structures.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Benefits&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Multidimensional comparison.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Faster analysis of common queries.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Support for historical trends.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Easier reporting and decision-making.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Conclusion: The appropriate implementation depends on data volume,
query patterns, storage requirements and performance needs.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;22. Explain the major data cube operations with suitable
examples.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;A data cube organizes numerical measures across dimensions such as
product, time and region.&lt;/p&gt;
&lt;p&gt;1. Roll-up: Aggregates detailed data to a higher level.&lt;/p&gt;
&lt;p&gt;Example: Daily sales → monthly sales.&lt;/p&gt;
&lt;p&gt;2. Drill-down: Moves from summary data to greater detail.&lt;/p&gt;
&lt;p&gt;Example: Annual sales → quarterly sales → monthly sales.&lt;/p&gt;
&lt;p&gt;3. Slice: Fixes one dimension to a single value.&lt;/p&gt;
&lt;p&gt;Example: Select sales for the year 2026.&lt;/p&gt;
&lt;p&gt;4. Dice: Selects a subset across multiple dimensions.&lt;/p&gt;
&lt;p&gt;Example: Sales for two products in selected regions during two
quarters.&lt;/p&gt;
&lt;p&gt;5. Pivot: Changes the orientation of dimensions to provide a
different view.&lt;/p&gt;
&lt;p&gt;Example: Display regions as columns instead of rows.&lt;/p&gt;
&lt;p&gt;Conclusion: These operations allow managers to summarize, filter and
explore data from different analytical perspectives.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;24. Explain visualization planning and the process of
selecting appropriate plots.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;Visualization planning ensures that the chosen chart communicates the
intended message accurately.&lt;/p&gt;
&lt;p&gt;Steps&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;Define the objective: Identify the question the visualization
should answer.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Understand the audience: Determine the audience&#39;s knowledge and
information needs.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Identify data types: Determine whether the variables are
categorical, numerical, temporal or geographic.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Choose the chart: Select the visual form that suits the
task.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Design scales and labels: Include units, legends and meaningful
titles.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Reduce clutter: Remove unnecessary decorations and excessive
colors.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Validate accuracy: Check calculations, axes and data
sources.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Evaluate usability: Confirm that the intended audience can
understand the result.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Chart selection&lt;/p&gt;
&lt;table style=&quot;width:56%;&quot;&gt;
&lt;colgroup&gt;
&lt;col style=&quot;width: 30%&quot; /&gt;
&lt;col style=&quot;width: 24%&quot; /&gt;
&lt;/colgroup&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Objective&lt;/strong&gt;&lt;/th&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Suitable chart&lt;/strong&gt;&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;Compare categories&lt;/td&gt;
&lt;td&gt;Bar chart&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Show trends over time&lt;/td&gt;
&lt;td&gt;Line chart&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Examine a distribution&lt;/td&gt;
&lt;td&gt;Histogram or box plot&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Examine relationships&lt;/td&gt;
&lt;td&gt;Scatter plot&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Display geographic patterns&lt;/td&gt;
&lt;td&gt;Map&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Compare several indicators&lt;/td&gt;
&lt;td&gt;Dashboard&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;Example: A college should use a line chart for semester-wise
attendance trends and a bar chart for comparing departments.&lt;/p&gt;
&lt;p&gt;Conclusion: Good visualization planning produces accurate, clear and
actionable presentations.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;26. Discuss the developments in data visualization and their
role in decision-making.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;Data visualization has developed from manually prepared charts to
interactive dashboards and AI-assisted analytical tools.&lt;/p&gt;
&lt;p&gt;Developments&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;Traditional charts and statistical graphs.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Computer-generated graphics.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Business intelligence dashboards.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Interactive and multidimensional visualization.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Geographic and spatial visualization.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Real-time streaming dashboards.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;AI-assisted chart selection and natural-language
analytics.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Role in decision-making&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Detect trends and patterns.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Compare business or institutional performance.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Monitor key performance indicators.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Identify potential anomalies.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Communicate findings quickly.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Support planning and resource allocation.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Example: A college administrator can compare attendance, pass
percentages and enrollment trends to plan academic support.&lt;/p&gt;
&lt;p&gt;Limitations: Poor chart selection, misleading scales, inaccurate data
and visual overload can lead to incorrect conclusions.&lt;/p&gt;
&lt;p&gt;Conclusion: Modern visualization improves decision-making when
combined with reliable data, appropriate analytical methods and clear
communication.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;25. Explain the major real-world applications, techniques,
limitations and suitable software of data mining with
examples.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;Data mining is the process of discovering useful patterns,
relationships and knowledge from large datasets.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;1. Major applications&lt;/strong&gt;&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Banking: Fraud detection, credit-risk assessment and customer
analysis.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Healthcare: Analysis of clinical records and hospital
operations.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Retail: Market-basket analysis and product
recommendations.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Education: Student-performance analysis and identification of
students requiring support.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Telecommunications: Customer churn analysis and service
optimization.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Manufacturing: Defect detection and predictive
maintenance.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;&lt;strong&gt;2. Major data mining techniques&lt;/strong&gt;&lt;/p&gt;
&lt;table style=&quot;width:77%;&quot;&gt;
&lt;colgroup&gt;
&lt;col style=&quot;width: 19%&quot; /&gt;
&lt;col style=&quot;width: 31%&quot; /&gt;
&lt;col style=&quot;width: 26%&quot; /&gt;
&lt;/colgroup&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Technique&lt;/strong&gt;&lt;/th&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Purpose&lt;/strong&gt;&lt;/th&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Example&lt;/strong&gt;&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;Classification&lt;/td&gt;
&lt;td&gt;Predict predefined classes&lt;/td&gt;
&lt;td&gt;Spam detection&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Clustering&lt;/td&gt;
&lt;td&gt;Group similar observations&lt;/td&gt;
&lt;td&gt;Customer segmentation&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Association rules&lt;/td&gt;
&lt;td&gt;Discover co-occurring items&lt;/td&gt;
&lt;td&gt;Market-basket analysis&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Regression&lt;/td&gt;
&lt;td&gt;Predict numerical values&lt;/td&gt;
&lt;td&gt;Sales forecasting&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Outlier detection&lt;/td&gt;
&lt;td&gt;Find unusual observations&lt;/td&gt;
&lt;td&gt;Fraud screening&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;&lt;strong&gt;3. Data mining process&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Data Collection&lt;/p&gt;
&lt;p&gt;↓&lt;/p&gt;
&lt;p&gt;Preprocessing&lt;/p&gt;
&lt;p&gt;↓&lt;/p&gt;
&lt;p&gt;Data Transformation&lt;/p&gt;
&lt;p&gt;↓&lt;/p&gt;
&lt;p&gt;Algorithm Selection&lt;/p&gt;
&lt;p&gt;↓&lt;/p&gt;
&lt;p&gt;Model Building&lt;/p&gt;
&lt;p&gt;↓&lt;/p&gt;
&lt;p&gt;Evaluation&lt;/p&gt;
&lt;p&gt;↓&lt;/p&gt;
&lt;p&gt;Knowledge Presentation&lt;/p&gt;
&lt;p&gt;↓&lt;/p&gt;
&lt;p&gt;Decision-Making&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;4. Suitable software&lt;/strong&gt;&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Python: Data preparation, machine learning and visualization
using suitable libraries.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;R: Statistical analysis and data visualization.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;WEKA: Data mining experiments and educational
demonstrations.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;RapidMiner: Visual workflow-based analytics.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;SQL-based tools: Data extraction and preparation.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Apache Spark: Distributed processing of large datasets.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;&lt;strong&gt;5. Limitations&lt;/strong&gt;&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;Poor data quality can produce unreliable results.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Large datasets may require substantial computational
resources.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Privacy and security must be protected.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Biased data can produce biased predictions.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Complex models may be difficult to interpret.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Patterns do not necessarily prove causation.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Example: A bank can use classification to flag suspicious
transactions, but the flagged transactions should be reviewed
appropriately rather than automatically assumed to be fraud.&lt;/p&gt;
&lt;p&gt;Conclusion: Data mining supports many practical applications, but
effective results require reliable data, suitable algorithms, validation
and responsible use.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;27. Explain FP-Growth and compare it with
candidate-generation approaches.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;FP-Growth stands for Frequent Pattern Growth. It is an
association-rule mining method that discovers frequent itemsets without
explicitly generating candidate itemsets at every level as Apriori
does.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Steps in FP-Growth&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Step 1: Scan the database.&lt;/p&gt;
&lt;p&gt;Count the frequency of each item and remove items below the
minimum-support threshold.&lt;/p&gt;
&lt;p&gt;Step 2: Sort frequent items.&lt;/p&gt;
&lt;p&gt;Arrange the remaining items in descending order of frequency.&lt;/p&gt;
&lt;p&gt;Step 3: Construct the FP-Tree.&lt;/p&gt;
&lt;p&gt;Insert transactions into a prefix tree. Transactions sharing prefixes
can share nodes, reducing repeated storage.&lt;/p&gt;
&lt;p&gt;Step 4: Create conditional pattern bases.&lt;/p&gt;
&lt;p&gt;For each item, identify the prefix paths associated with that
item.&lt;/p&gt;
&lt;p&gt;Step 5: Construct conditional FP-Trees.&lt;/p&gt;
&lt;p&gt;Build smaller conditional trees from the relevant prefix paths.&lt;/p&gt;
&lt;p&gt;Step 6: Mine frequent patterns.&lt;/p&gt;
&lt;p&gt;Recursively discover frequent itemsets from conditional trees.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Illustration&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Transaction Database&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Count Item Frequencies&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Sort Frequent Items&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Construct FP-Tree&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Generate Conditional&lt;/p&gt;
&lt;p&gt;Pattern Bases&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Construct Conditional&lt;/p&gt;
&lt;p&gt;FP-Trees&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Discover Frequent Itemsets&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Generate Association Rules&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Comparison&lt;/strong&gt;&lt;/p&gt;
&lt;table&gt;
&lt;colgroup&gt;
&lt;col style=&quot;width: 21%&quot; /&gt;
&lt;col style=&quot;width: 34%&quot; /&gt;
&lt;col style=&quot;width: 44%&quot; /&gt;
&lt;/colgroup&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Feature&lt;/strong&gt;&lt;/th&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Apriori&lt;/strong&gt;&lt;/th&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;FP-Growth&lt;/strong&gt;&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;Candidate generation&lt;/td&gt;
&lt;td&gt;Explicitly generates candidates&lt;/td&gt;
&lt;td&gt;Avoids explicit candidate generation at each level&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Data representation&lt;/td&gt;
&lt;td&gt;Transaction database and candidate sets&lt;/td&gt;
&lt;td&gt;FP-Tree and conditional pattern bases&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Database scans&lt;/td&gt;
&lt;td&gt;Multiple scans&lt;/td&gt;
&lt;td&gt;Usually two main scans to construct the tree&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Memory use&lt;/td&gt;
&lt;td&gt;Candidate sets can become large&lt;/td&gt;
&lt;td&gt;Tree can be compact, but may also grow large&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Best use&lt;/td&gt;
&lt;td&gt;Relatively manageable candidate sets&lt;/td&gt;
&lt;td&gt;Often effective when many frequent patterns exist&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Main limitation&lt;/td&gt;
&lt;td&gt;Candidate explosion&lt;/td&gt;
&lt;td&gt;Tree construction and recursive mining can be costly&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;Conclusion: FP-Growth is often more efficient than Apriori on
datasets with many frequent patterns, although actual performance
depends on data structure, density and available memory.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;28. Compare partitional, hierarchical and density-based
clustering methods.Select appropriate validity measures for a
dataset.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;Clustering is an unsupervised learning technique that groups similar
objects without predefined class labels.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;1. Partitional clustering&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Partitional clustering divides a dataset into a specified number of
clusters.&lt;/p&gt;
&lt;p&gt;Example: K-means.&lt;/p&gt;
&lt;p&gt;Advantages:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Simple and efficient for many numerical datasets.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Easy to interpret.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Useful when the number of clusters is known or can be
estimated.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Limitations:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;K-means requires the number of clusters to be specified.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;It can be sensitive to initialization and outliers.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;It works best with approximately compact, spherical clusters
under its usual distance objective.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;&lt;strong&gt;2. Hierarchical clustering&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Hierarchical clustering creates a hierarchy of nested clusters.&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Agglomerative: Starts with individual observations and merges
clusters.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Divisive: Starts with a large cluster and splits it into smaller
clusters.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;The hierarchy can be displayed using a dendrogram.&lt;/p&gt;
&lt;p&gt;Advantages: Reveals relationships at multiple levels and does not
always require choosing the final cluster count in advance.&lt;/p&gt;
&lt;p&gt;Limitations: Can be computationally expensive and sensitive to
distance and linkage choices.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;3. Density-based clustering&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Density-based methods identify dense regions separated by relatively
sparse areas.&lt;/p&gt;
&lt;p&gt;Example: DBSCAN.&lt;/p&gt;
&lt;p&gt;Advantages:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Can discover irregularly shaped clusters.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Can identify noise and outliers.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Does not require specifying the number of clusters
directly.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Limitations: Parameter selection can be difficult, especially when
clusters have different densities.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Comparison&lt;/strong&gt;&lt;/p&gt;
&lt;table&gt;
&lt;colgroup&gt;
&lt;col style=&quot;width: 16%&quot; /&gt;
&lt;col style=&quot;width: 18%&quot; /&gt;
&lt;col style=&quot;width: 28%&quot; /&gt;
&lt;col style=&quot;width: 36%&quot; /&gt;
&lt;/colgroup&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Feature&lt;/strong&gt;&lt;/th&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Partitional&lt;/strong&gt;&lt;/th&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Hierarchical&lt;/strong&gt;&lt;/th&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Density-based&lt;/strong&gt;&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;Example&lt;/td&gt;
&lt;td&gt;K-means&lt;/td&gt;
&lt;td&gt;Agglomerative clustering&lt;/td&gt;
&lt;td&gt;DBSCAN&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Output&lt;/td&gt;
&lt;td&gt;Fixed partition&lt;/td&gt;
&lt;td&gt;Cluster hierarchy&lt;/td&gt;
&lt;td&gt;Dense regions and noise&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Cluster shape&lt;/td&gt;
&lt;td&gt;Often compact&lt;/td&gt;
&lt;td&gt;Depends on distance/linkage&lt;/td&gt;
&lt;td&gt;Can be irregular&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Outlier handling&lt;/td&gt;
&lt;td&gt;Often sensitive&lt;/td&gt;
&lt;td&gt;Depends on method&lt;/td&gt;
&lt;td&gt;Explicit noise identification in DBSCAN&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Main parameter&lt;/td&gt;
&lt;td&gt;Number of clusters&lt;/td&gt;
&lt;td&gt;Distance/linkage and cut level&lt;/td&gt;
&lt;td&gt;Density parameters&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;&lt;strong&gt;Cluster validity measures&lt;/strong&gt;&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;Silhouette coefficient: Higher values generally indicate better
cohesion and separation.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Davies–Bouldin index: Lower values generally indicate better
clustering.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Within-cluster sum of squares: Often used to evaluate compactness
for K-means.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Domain validation: Checks whether the clusters are meaningful for
the real-world application.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Example: For customer coordinates forming irregular geographic groups
with noise, DBSCAN may be suitable. Silhouette analysis can help assess
quality, with care taken when noise points or unusual cluster shapes are
present.&lt;/p&gt;
&lt;p&gt;Conclusion: The best algorithm depends on data distribution, cluster
shape, noise, scalability and the intended use of the clusters.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;29. Design a multidimensional data warehouse for a retail
organization.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;A retail data warehouse integrates sales data to support analysis by
product, time, store, customer and geography.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;1. Proposed architecture&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;POS Systems Online Store Inventory System&lt;/p&gt;
&lt;p&gt;\ | /&lt;/p&gt;
&lt;p&gt;\ | /&lt;/p&gt;
&lt;p&gt;Data Integration&lt;/p&gt;
&lt;p&gt;(ETL / ELT)&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Staging Area&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Retail Data Warehouse&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;+-------+-------+&lt;/p&gt;
&lt;p&gt;| |&lt;/p&gt;
&lt;p&gt;v v&lt;/p&gt;
&lt;p&gt;Data Marts OLAP Cubes&lt;/p&gt;
&lt;p&gt;| |&lt;/p&gt;
&lt;p&gt;+-------+-------+&lt;/p&gt;
&lt;p&gt;|&lt;/p&gt;
&lt;p&gt;v&lt;/p&gt;
&lt;p&gt;Reports and Dashboards&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;2. Fact table&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Fact_Sales&lt;/p&gt;
&lt;table style=&quot;width:53%;&quot;&gt;
&lt;colgroup&gt;
&lt;col style=&quot;width: 20%&quot; /&gt;
&lt;col style=&quot;width: 32%&quot; /&gt;
&lt;/colgroup&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Field&lt;/strong&gt;&lt;/th&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Description&lt;/strong&gt;&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;Date_Key&lt;/td&gt;
&lt;td&gt;Links to date dimension&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Product_Key&lt;/td&gt;
&lt;td&gt;Links to product dimension&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Store_Key&lt;/td&gt;
&lt;td&gt;Links to store dimension&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Customer_Key&lt;/td&gt;
&lt;td&gt;Links to customer dimension&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Quantity&lt;/td&gt;
&lt;td&gt;Number of units sold&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Sales_Amount&lt;/td&gt;
&lt;td&gt;Total sales value&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Cost_Amount&lt;/td&gt;
&lt;td&gt;Cost of goods sold&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Discount_Amount&lt;/td&gt;
&lt;td&gt;Discount given&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;The dimension keys connect the fact table to descriptive
information.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;3. Dimension tables&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Dim_Date: Date, day, month, quarter and year.&lt;/p&gt;
&lt;p&gt;Dim_Product: Product name, category, brand and supplier.&lt;/p&gt;
&lt;p&gt;Dim_Store: Store name, city, state and region.&lt;/p&gt;
&lt;p&gt;Dim_Customer: Customer category and permitted analytical
attributes.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;4. Measures&lt;/strong&gt;&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Total revenue = Sum of Sales_Amount.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Units sold = Sum of Quantity.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Total cost = Sum of Cost_Amount.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Gross profit = Revenue − Cost.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Discount total = Sum of Discount_Amount.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;&lt;strong&gt;5. OLAP operations&lt;/strong&gt;&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Roll-up: Daily sales into monthly or yearly sales.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Drill-down: Annual revenue into quarter, month and day.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Slice: Select sales for a particular year.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Dice: Select specific products, regions and quarters.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Pivot: Change the arrangement of products and regions in a
report.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;&lt;strong&gt;6. Sample analytical queries&lt;/strong&gt;&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Which product category generates the highest revenue?&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Which region has the lowest sales growth?&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;How does quarterly performance compare with the previous
year?&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Which stores have high revenue but low gross profit?&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;&lt;strong&gt;7. Implementation considerations&lt;/strong&gt;&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Maintain consistent product and store identifiers.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Validate incoming records and handle duplicates.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Apply suitable access controls and privacy protections.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Plan data refresh frequency.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Optimize common queries and historical storage.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Conclusion: A multidimensional retail warehouse provides consistent
historical information and helps management make informed decisions
about inventory, pricing, marketing and store performance.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;29. Explain how to present findings and justify visualization
choices based on audience, perception and decision-making
needs.&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Answer:&lt;/p&gt;
&lt;p&gt;Data visualization communicates analytical results through charts,
maps, dashboards and other visual forms.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;1. Understand the audience&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;The presentation should reflect the audience&#39;s background.&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Executives generally need key indicators and major
findings.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Analysts may need detailed distributions and
relationships.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;General audiences need clear labels and minimal technical
terminology.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;&lt;strong&gt;2. Identify the objective&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Determine whether the goal is to compare categories, show a trend,
understand a distribution, identify a relationship or communicate a
geographic pattern.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;3. Choose an appropriate plot&lt;/strong&gt;&lt;/p&gt;
&lt;table style=&quot;width:93%;&quot;&gt;
&lt;colgroup&gt;
&lt;col style=&quot;width: 24%&quot; /&gt;
&lt;col style=&quot;width: 32%&quot; /&gt;
&lt;col style=&quot;width: 36%&quot; /&gt;
&lt;/colgroup&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Analytical purpose&lt;/strong&gt;&lt;/th&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Recommended
visualization&lt;/strong&gt;&lt;/th&gt;
&lt;th style=&quot;text-align: center;&quot;&gt;&lt;strong&gt;Example&lt;/strong&gt;&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;Category comparison&lt;/td&gt;
&lt;td&gt;Bar chart&lt;/td&gt;
&lt;td&gt;Department-wise pass percentage&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Time trend&lt;/td&gt;
&lt;td&gt;Line chart&lt;/td&gt;
&lt;td&gt;Monthly attendance&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Distribution&lt;/td&gt;
&lt;td&gt;Histogram&lt;/td&gt;
&lt;td&gt;Student marks&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Relationship&lt;/td&gt;
&lt;td&gt;Scatter plot&lt;/td&gt;
&lt;td&gt;Attendance versus marks&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Multiple comparisons&lt;/td&gt;
&lt;td&gt;Heat map&lt;/td&gt;
&lt;td&gt;Subject-wise results&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Geographic analysis&lt;/td&gt;
&lt;td&gt;Map&lt;/td&gt;
&lt;td&gt;Region-wise enrollment&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Overall monitoring&lt;/td&gt;
&lt;td&gt;Dashboard&lt;/td&gt;
&lt;td&gt;College performance&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;&lt;strong&gt;4. Apply visual perception principles&lt;/strong&gt;&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Use position and length for accurate comparisons.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Use consistent scales.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Use color to group or emphasize meaningful information.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Avoid unnecessary 3D effects.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Maintain readable labels and adequate contrast.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Use appropriate chart sizes and whitespace.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;&lt;strong&gt;5. Present findings clearly&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;A good presentation should include:&lt;/p&gt;
&lt;ol type=&quot;1&quot;&gt;
&lt;li&gt;&lt;p&gt;A meaningful title.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Correct data and measurement units.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Clear labels and legends.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Important patterns or exceptions.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;A concise interpretation.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;The data source and relevant period.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;A practical implication or recommended next step.&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;&lt;strong&gt;6. Avoid misleading presentation&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;Do not distort scales, selectively omit important data, use
unexplained percentages or imply causation from a simple
correlation.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;7. Connect findings to decisions&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;For example, if a chart shows declining attendance in one department,
the report should identify the period, compare relevant groups and
suggest further investigation before recommending an intervention.&lt;/p&gt;
&lt;p&gt;Conclusion: Effective visualization combines accurate data,
appropriate chart selection, an understanding of human perception and a
clear decision-making purpose.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Final revision guide&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;For your examination, prioritize the following topics:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;p&gt;Unit I: Data mining process, preprocessing, missing values,
outliers, distance measures and visualization.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Unit II: Apriori, FP-Growth, support, confidence, lift and direct
marketing.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Unit III: Decision trees, information gain, Naïve Bayes,
predictive accuracy and clustering.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Unit IV: Data warehouse architecture, ODS, OLAP operations and
multidimensional data cubes.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;&lt;p&gt;Unit V: Visualization fit, chart selection, visual perception,
common mistakes and effective presentation.&lt;/p&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;.&lt;/p&gt;
&lt;/body&gt;
&lt;/html&gt;
</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/5659739758132813813'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/5659739758132813813'/><link rel='alternate' type='text/html' href='http://rgkumaran.blogspot.com/2026/11/html-view-testing.html' title='DATA SCIENCE / Data Mining, Data Warehousing and Data Visualization'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author></entry><entry><id>tag:blogger.com,1999:blog-207255288551257803.post-2759949073817257264</id><published>2026-11-06T07:36:12.074-08:00</published><updated>2026-11-06T07:49:21.746-08:00</updated><title type='text'>III DS DATA MINING DATA WAREHOUSING AND DATA VISUALIZATION</title><content type='html'>&lt;div style=&quot;text-align: center;&quot;&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 24.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN; mso-font-kerning: 18.0pt;&quot;&gt;Data
Mining, Data Warehousing and Data Visualization&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: center;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;III B.Sc. Data Science | Course Code: 22SCCDS5&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;1. Define data mining and state two applications.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:
Data mining is the process of discovering useful patterns, relationships and
knowledge from large datasets using statistical, machine-learning and database
techniques.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Applications:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Fraud detection in banking.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Market-basket analysis in
     retail.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;2. Differentiate between mean and median.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Mean: The sum of all
     observations divided by the number of observations.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Median: The middle value
     when observations are arranged in ascending or descending order.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
For 2, 4, 6, 8, 100, the mean is 24 and the median is 6. The median is less
affected by extreme values.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;3. State the Apriori principle.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:
The Apriori principle states that every non-empty subset of a frequent itemset
must also be frequent.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conversely,
if an itemset is infrequent, all its supersets must also be infrequent. This
property reduces the number of candidate itemsets examined.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;4. Why are cluster quality and validity measures
important?&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:
Cluster quality measures help determine whether the resulting clusters are
meaningful and well separated.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Cohesion: Measures how
     closely related objects within a cluster are.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Separation: Measures how
     distinct one cluster is from another.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Measures
such as the silhouette coefficient help compare clustering solutions.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;5. Define OLAP and mention two applications.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:
OLAP stands for Online Analytical Processing. It enables multidimensional
analysis of large amounts of data for decision-making.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Applications:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;







































&lt;/p&gt;&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Sales and revenue analysis.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Financial planning and
     forecasting.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;1. Describe the Apriori algorithm with an example.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Definition:
Apriori is an association-rule mining algorithm used to identify frequent
itemsets in transactional databases and generate association rules.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Steps:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Select a minimum-support
     threshold.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Find frequent one-itemsets,
     \(L_1\).&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Generate candidate
     two-itemsets, \(C_2\).&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Remove candidates whose
     support is below the threshold.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Repeat the process for
     larger itemsets until no more frequent itemsets are found.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Generate association rules
     using minimum confidence.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
Consider five transactions.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;table border=&quot;0&quot; cellpadding=&quot;0&quot; class=&quot;MsoNormalTable&quot; style=&quot;mso-cellspacing: 1.5pt; mso-yfti-tbllook: 1184;&quot;&gt;
 &lt;tbody&gt;&lt;tr style=&quot;mso-yfti-firstrow: yes; mso-yfti-irow: 0;&quot;&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Transaction&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Items purchased&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 1;&quot;&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;T1&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Bread,
  Milk&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 2;&quot;&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;T2&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Bread,
  Butter&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 3;&quot;&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;T3&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Bread,
  Milk, Butter&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 4;&quot;&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;T4&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Milk,
  Butter&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 5; mso-yfti-lastrow: yes;&quot;&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;T5&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Bread,
  Milk&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Let
minimum support be 40%, or 2 transactions.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Support(Bread) = 4/5 = 80%.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Support(Milk) = 4/5 = 80%.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Support(Butter) = 3/5 = 60%.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Support(Bread, Milk) = 3/5 =
     60%.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Support(Bread, Butter) = 2/5
     = 40%.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Support(Milk, Butter) = 2/5
     = 40%.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;All three
pairs satisfy the minimum-support threshold.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;For the
rule Bread → Milk:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;\[
\text{Confidence}=\frac{3}{4}\times100=75\% \]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Therefore,
75% of transactions containing bread also contain milk.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
Apriori identifies frequent purchasing combinations and supports product
placement, cross-selling and recommendation systems.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;2. Discuss how association rules support customer
segmentation and direct marketing.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Association-rule
mining identifies products, services or customer behaviors that frequently
occur together.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Customer segmentation:
     Groups customers according to purchasing patterns, interests and
     preferences.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Cross-selling: Recommends
     related products based on previous purchases.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Personalized offers:
     Provides discounts on products that match customer interests.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Campaign optimization: Helps
     select suitable customers for email, SMS and promotional campaigns.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Customer retention:
     Identifies behavior patterns that can support loyalty programs.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
If customers frequently purchase a laptop with a laptop bag, the retailer can
offer a discounted bag during laptop purchases.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
Association rules improve marketing relevance, customer satisfaction and sales
opportunities. However, customer privacy and the quality of the data must be
considered.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;3. Analyze the importance of multidimensional data
visualization in decision-making.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Multidimensional
data visualization presents data across several attributes or dimensions,
helping users identify relationships, trends and unusual patterns.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Importance:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Trend identification: Shows
     changes over time.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Comparison: Compares
     products, departments or regions.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Relationship discovery:
     Identifies relationships among variables.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Outlier detection:
     Highlights unusual observations.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Decision support: Converts
     complex data into understandable visual information.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Common
techniques:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Scatter plots for
     relationships between numerical variables.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Heat maps for comparing
     values across two dimensions.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Parallel-coordinate plots
     for multiple numerical attributes.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Bubble charts for
     representing three numerical variables.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Dashboards for combining
     several charts and indicators.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
A retail dashboard can display sales by region, product category and month to
help managers identify underperforming regions.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
Suitable multidimensional visualization improves understanding and supports
evidence-based decisions.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;4. Describe the major applications, techniques,
future opportunities and limitations of data mining.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Applications&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Banking: fraud detection and
     credit-risk analysis.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Retail: market-basket
     analysis and recommendations.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Healthcare: analysis of
     clinical and operational data.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Education:
     student-performance analysis.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Telecommunications: customer
     churn analysis.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Techniques&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Classification&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Clustering&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Association-rule mining&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Regression and prediction&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Outlier detection&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Future
opportunities&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Artificial intelligence
     integration.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Real-time analysis of
     streaming data.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;IoT and sensor-data mining.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Personalized services.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Predictive maintenance.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Limitations&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Incomplete or inaccurate
     data.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Privacy and security risks.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;High computational
     requirements.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Algorithmic bias.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Difficulty interpreting some
     complex models.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
Data mining provides valuable insights when supported by good-quality data,
suitable algorithms and responsible data practices.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;5. Discuss the desired features and quality
measures of cluster analysis.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Cluster
analysis groups similar objects together without requiring predefined class
labels.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Desired
features of a clustering method:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Scalability for large
     datasets.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Ability to handle different
     data types.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Identification of clusters
     with different shapes and sizes.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Robustness to noise and
     outliers.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Limited dependence on
     arbitrary parameter choices.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Interpretability of the
     resulting clusters.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Quality
measures:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Within-cluster cohesion:
     Objects within a cluster should be similar.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Between-cluster separation:
     Different clusters should be distinct.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Silhouette coefficient:
     Combines cohesion and separation; higher values generally indicate
     better-defined clusters.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Davies–Bouldin index: Lower
     values generally indicate better separation relative to within-cluster
     spread.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Domain usefulness: Clusters
     should be meaningful for the application.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
A good clustering solution balances compactness, separation, robustness and
practical usefulness.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;6. Explain decision-tree construction and the role
of split algorithms.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;A
decision tree is a supervised learning model that classifies records through a
sequence of attribute-based decisions.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Construction
steps:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Start with the complete
     training dataset.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Select the best attribute
     for splitting.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Divide the dataset into
     subsets according to the selected attribute.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Repeat the process
     recursively for each subset.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Stop when a node is
     sufficiently pure, no useful split remains or a stopping condition is
     reached.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Assign a class label to each
     leaf node.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Prune the tree when
     necessary to reduce overfitting.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Role of
split algorithms:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Information gain: Measures
     the reduction in entropy after a split.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Gain ratio: Adjusts
     information gain to reduce bias toward attributes with many distinct
     values.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Gini index: Measures class
     impurity.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
A bank may classify loan applications using income, credit score and repayment
history.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
Split algorithms determine how effectively a decision tree separates classes
and influences its accuracy and complexity.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;7. Analyze common visualization mistakes and
explain best practices for effective communication.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Common
mistakes&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Using an inappropriate chart
     type.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Omitting axis labels or
     measurement units.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Using misleading or
     truncated axes.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Applying excessive colors
     and decorative effects.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Presenting too much
     information in a single chart.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Ignoring the audience and
     purpose.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Omitting data sources or
     necessary context.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Best
practices&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Select charts according to
     the analytical question.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Use clear titles, labels and
     legends.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Choose appropriate and
     consistent scales.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Use colors meaningfully and
     maintain sufficient contrast.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Highlight important findings
     without distorting the data.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Include units, sources and
     relevant time periods.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Check readability and
     accessibility.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
A bar chart comparing sales across branches should use clearly labeled branches
and a scale that does not exaggerate small differences.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
Accurate, simple and audience-focused visualizations improve understanding and
prevent misleading interpretations.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;8. Discuss the developments in data visualization
and their role in decision-making.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Data
visualization has evolved from static charts to interactive and intelligent
visual systems.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Major
developments&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Traditional statistical
     charts.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Computer-based graphical
     analysis.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Interactive dashboards and business
     intelligence.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Geographic information
     systems and mapping.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Real-time streaming
     dashboards.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Interactive multidimensional
     visualizations.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;AI-assisted visualization
     and natural-language querying.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Role in
decision-making&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Identifies trends and
     patterns.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Enables quick comparison.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Supports monitoring of key
     performance indicators.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Highlights exceptions and
     risks.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Communicates findings to
     non-technical users.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Supports faster
     evidence-based decisions.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
A college dashboard can show attendance, examination performance and
department-wise results to support academic planning.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
Modern visualization systems improve the speed, accessibility and quality of
decisions when the underlying data and presentation are reliable.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;9. Explain methods used to estimate and improve the
predictive accuracy of classifiers.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Predictive
accuracy measures how effectively a classification model predicts the correct
class for unseen observations.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Methods
for estimating accuracy&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Holdout method: Split data
     into training and test sets.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;k-fold cross-validation:
     Divide data into \(k\) folds, train on \(k-1\) folds and test on the
     remaining fold; repeat until every fold has served as the test set.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Stratified cross-validation:
     Preserves approximate class proportions in each fold.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Confusion matrix: Summarizes
     true positives, true negatives, false positives and false negatives.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Measures&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;\[
\text{Accuracy}=\frac{TP+TN}{TP+TN+FP+FN} \]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Precision,
recall and F1-score provide additional information, especially for imbalanced
datasets.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Methods
for improving accuracy&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Improve data quality.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Select relevant features.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Tune model parameters.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Use suitable algorithms.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Apply regularization or
     pruning.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Handle class imbalance.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Avoid data leakage.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Evaluate the model on unseen
     data.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
Reliable evaluation and careful model improvement help achieve better
generalization.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;10. Describe multidimensional views, data cubes and
their implementations.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;A
multidimensional data model represents information using facts, measures and dimensions.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Facts: Events being
     analyzed, such as sales.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Measures: Numerical values,
     such as revenue and quantity.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Dimensions: Perspectives
     such as time, product and region.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
A sales cube can contain revenue by product, region and quarter.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;TIME&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;PRODUCT --+-- REGION&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;SALES CUBE&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Major
cube operations&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Roll-up: Summarizes detailed
     data, such as daily sales into monthly sales.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Drill-down: Moves from monthly
     sales to daily sales.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Slice: Selects one value of
     a dimension, such as the year 2026.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Dice: Selects a subset
     across multiple dimensions.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Pivot: Rotates the cube&#39;s
     dimensions to provide another view.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Implementations&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;ROLAP: Uses relational
     database tables.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;MOLAP: Uses multidimensional
     storage structures.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;HOLAP: Combines relational
     and multidimensional storage.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
Data cubes allow users to analyze business measures from multiple perspectives
efficiently.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;11. Explain the complete data mining process with a
neat diagram.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Data
mining is a systematic process of extracting useful patterns and knowledge from
large datasets.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Stages of
the data mining process&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Data Sources&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Data Collection&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Data Cleaning&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Data Integration&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Data Selection&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Data Transformation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Data Mining&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Pattern Evaluation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Knowledge Presentation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Decision-Making&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;1. Data
collection&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Data is
collected from databases, files, websites, sensors and transaction systems.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;2. Data
cleaning&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Missing
values, duplicate records, noise and inconsistencies are handled.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;3. Data
integration&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Data from
multiple sources is combined into a consistent dataset.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;4. Data
selection&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Only
relevant records and attributes are selected for the analytical task.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;5. Data
transformation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Data is
normalized, aggregated, encoded or otherwise transformed into a suitable
format.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;6. Data
mining&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;An
appropriate algorithm is applied.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Classification predicts
     predefined categories.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Clustering discovers groups.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Association-rule mining
     identifies co-occurring items.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Regression predicts
     numerical values.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Outlier detection identifies
     unusual observations.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;7.
Pattern evaluation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Patterns
are evaluated for accuracy, usefulness, significance and relevance.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;8.
Knowledge presentation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Results
are communicated through reports, charts, dashboards and interpretable rules.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;9.
Decision-making&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;The
findings support practical decisions, such as fraud prevention or inventory
planning.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
Retail sales analysis&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;A
retailer collects transaction records, cleans duplicate entries, prepares
product data, mines purchasing combinations and identifies products frequently
purchased together. The retailer then uses these findings to improve product
placement and recommendations.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Applications:
Banking, healthcare, education, retail, telecommunications and manufacturing.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
The data mining process converts raw data into actionable knowledge. It is
iterative: results may lead to further data preparation or model improvement.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;12. Design a customer-value mining and
direct-marketing framework using association rules.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Customer-value
mining identifies valuable customer groups and purchasing patterns. Association
rules help marketers develop relevant promotional strategies.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Framework&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Customer and Transaction Data&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;Data
Cleaning&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp; &lt;/span&gt;Customer
Feature Creation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;Frequent-Itemset Mining&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;Association-Rule Generation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;Rule
Evaluation and Filtering&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp; &lt;/span&gt;Customer
Segmentation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;Personalized
Marketing Campaign&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;Performance
Evaluation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;1. Data
collection&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Collect
purchase history, customer profiles, transaction values and campaign responses.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;2. Data
preprocessing&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Remove
duplicate records, handle missing values and standardize product and customer
identifiers.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;3.
Customer-value estimation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Possible
measures include:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Total customer spending.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Purchase frequency.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Average transaction value.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Recency of the last
     purchase.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Profit contribution.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;4.
Frequent-itemset mining&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Use
Apriori or FP-Growth to identify combinations of products that frequently occur
together.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;5.
Association-rule generation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;For a
rule \(X\rightarrow Y\):&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;\[
\text{Support}(X\rightarrow Y)=P(X\cup Y) \]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;\[
\text{Confidence}(X\rightarrow Y)=P(Y\mid X) \]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;\[
\text{Lift}(X\rightarrow Y)= \frac{P(Y\mid X)}{P(Y)} \]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;A lift
greater than 1 indicates positive association under the usual interpretation.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;6.
Customer segmentation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Customers
can be grouped using spending, purchasing frequency, product interests and response
history.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;7. Direct
marketing&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Send personalized offers.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Recommend complementary
     products.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Develop loyalty campaigns.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Offer relevant bundles.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Target customers with
     suitable promotions.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
Customers who frequently buy smartphones and protective cases may be offered a
screen protector or accessory bundle.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;8.
Performance evaluation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Measure
conversion rate, revenue, campaign cost, customer retention and incremental
profit. A holdout group can help determine whether a campaign actually caused
an improvement.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;9.
Ethical considerations&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Use
customer information responsibly, restrict access to sensitive data and comply
with applicable privacy requirements.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
Combining customer-value measures and association rules can make direct
marketing more relevant and efficient.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;13. Explain decision-tree classification and Naïve
Bayes in detail.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Classification
is a supervised learning technique that assigns records to predefined classes
using a model learned from labeled training data.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;A. Decision-tree classification&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;A
decision tree contains a root node, internal decision nodes, branches and leaf
nodes.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Construction:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Prepare labeled training
     data.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Select the best splitting
     attribute using information gain, gain ratio or Gini index.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Partition the records according
     to the selected attribute.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Repeat recursively.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Stop when a stopping
     criterion is satisfied.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Prune unnecessary branches
     when needed.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Use the tree to classify new
     records.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Entropy:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;\[
H(S)=-\sum_i p_i\log_2 p_i \]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Information
gain is:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;\[
IG(S,A)=H(S)-\sum_v \frac{|S_v|}{|S|}H(S_v) \]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;The
attribute with the highest information gain is selected in the basic
information-gain approach.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;Credit Score?&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;/&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;\&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;Good&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;Poor&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;|&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;Approve&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;Review&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;The
actual decision depends on the training data and the rules selected.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;B. Naïve Bayes classification&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Naïve
Bayes is a probabilistic classifier based on Bayes’ theorem.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;\[
P(C\mid X)=\frac{P(X\mid C)P(C)}{P(X)} \]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Here:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;\(P(C)\): Prior probability
     of class \(C\).&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;\(P(X\mid C)\): Likelihood
     of the observed attributes.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;\(P(C\mid X)\): Posterior
     probability of the class.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;The naïve
assumption is that attributes are conditionally independent given the class.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;For
multiple attributes:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;\[
P(C\mid X)\propto P(C)\prod_i P(x_i\mid C) \]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;The
classifier selects the class with the highest posterior probability.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
An email classifier estimates whether a message is spam using word frequencies
and the probabilities learned from labeled emails.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Comparison&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;table border=&quot;1&quot; cellpadding=&quot;0&quot; class=&quot;MsoNormalTable&quot; style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-cellspacing: 1.5pt; mso-yfti-tbllook: 1184;&quot;&gt;
 &lt;tbody&gt;&lt;tr style=&quot;mso-yfti-firstrow: yes; mso-yfti-irow: 0;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Feature&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Decision tree&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Naïve Bayes&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 1;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Basic
  idea&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Decision
  rules&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Probability&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 2;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Interpretability&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Usually
  high&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Often
  straightforward&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 3;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Main
  assumption&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Depends
  on splitting method&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conditional
  independence&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 4;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Training&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Repeated
  data partitioning&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Probability
  estimation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 5; mso-yfti-lastrow: yes;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Limitation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Can
  overfit without control&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Correlated
  features may affect performance&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Accuracy
estimation: Use holdout testing or cross-validation and report accuracy,
precision, recall and F1-score as appropriate.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
Both algorithms support classification, but their suitability depends on the
dataset, interpretability requirements and predictive performance.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;14. Explain data warehouse architecture and
Operational Data Stores with a neat diagram.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;A data
warehouse is a centralized repository of integrated data designed primarily for
analysis, reporting and decision-making.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Architecture&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Operational Databases&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp; &lt;/span&gt;External Data&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;\&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;/&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;\&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;/&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;v&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;ETL /
ELT PROCESS&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;(Extract,
Transform, Load)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;Staging Area&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;Operational Data&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;Store (ODS)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;Enterprise Data&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;Warehouse&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;+--------+--------+&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;v&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;Data
Marts&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;OLAP / Cubes&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;+--------+--------+&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;Reports
and Dashboards&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;Decision-Making&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;This is a
conceptual architecture; actual systems may place the ODS, staging area and
transformation processes differently.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Components&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;1. Data
sources: Operational databases, files, applications and external systems.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;2.
ETL/ELT: Extracts, transforms and loads data. Transformation includes cleaning,
integration and standardization.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;3.
Staging area: Temporarily holds data during preparation.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;4.
Operational Data Store (ODS): Integrates relatively current operational data
for operational reporting and short-term analysis. It is not necessarily the
long-term historical repository.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;5.
Enterprise data warehouse: Maintains integrated data for enterprise-wide
analytical use, often including historical information.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;6. Data
marts: Provide subject-specific data for departments such as sales, finance or
human resources.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;7. OLAP
and reporting tools: Support multidimensional analysis, dashboards and business
reports.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Characteristics of a data warehouse&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Subject-oriented.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Integrated.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Time-variant.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Nonvolatile in its
     analytical design, although refreshes and corrections can occur.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Benefits&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Integrates information from
     multiple sources.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Improves consistency in
     reporting.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Supports historical trend
     analysis.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Separates analytical
     workloads from many operational workloads.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Supports strategic planning.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
The ODS and data warehouse serve complementary purposes: the ODS supports
relatively current operational views, while the warehouse supports broader
historical and analytical needs.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;15. Explain the conceptual framework of data
visualization techniques with examples.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Data
visualization converts data into visual representations so that people can
recognize patterns, understand relationships and make decisions.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conceptual framework&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;Raw
Data&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;Processing&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;Information&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;Knowledge&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;Insight&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;Decision-Making&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Data: Raw facts, such as
     individual student marks.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Information: Organized data,
     such as department-wise average marks.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Knowledge: Understanding
     patterns, such as consistently low performance in a subject.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Insight: A meaningful
     interpretation suggesting a possible reason or opportunity.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Decision: An action based on
     the findings.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Common visualization techniques&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;table border=&quot;1&quot; cellpadding=&quot;0&quot; class=&quot;MsoNormalTable&quot; style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-cellspacing: 1.5pt; mso-yfti-tbllook: 1184;&quot;&gt;
 &lt;tbody&gt;&lt;tr style=&quot;mso-yfti-firstrow: yes; mso-yfti-irow: 0;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Technique&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Purpose&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 1;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Bar
  chart&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Compare
  categories&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Department-wise
  results&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 2;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Line
  chart&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Show trends&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Monthly
  sales&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 3;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Histogram&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Show
  numerical distribution&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Examination
  marks&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 4;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Scatter
  plot&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Examine
  relationships&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Attendance
  versus marks&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 5;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Heat
  map&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Compare
  values using color&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Subject-wise
  performance&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 6;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Box
  plot&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Summarize
  distribution and identify potential outliers&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Salary
  distribution&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 7; mso-yfti-lastrow: yes;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Dashboard&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Combine
  multiple indicators&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;College
  performance monitoring&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Visualization planning&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Identify the question to be
     answered.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Understand the audience.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Determine the data types.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Choose a suitable visual
     representation.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Select clear scales, colors
     and labels.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Verify that the chart
     accurately represents the data.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Present the findings with
     appropriate context.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Importance&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Visualization
reduces complexity, reveals trends, supports comparisons and helps communicate
analytical results.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
A college dashboard combines attendance, examination results and enrollment
data to identify departments that may need additional academic support.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;11. What is data preprocessing? Mention two tasks.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Data
preprocessing is the process of preparing raw data for analysis by improving
its quality and suitability.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Two tasks
are:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Handling missing values.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Detecting and treating
     noise, outliers or inconsistent data.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;12. What is the purpose of Apriori-TID?&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Apriori-TID
is a variant of the Apriori algorithm that uses candidate itemsets associated
with transaction identifiers rather than repeatedly relying only on the
original transaction database representation.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;It can
reduce database access during later iterations when the candidate
representation becomes more efficient.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;13. Define classification.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Classification
is a supervised machine-learning task in which a model learns from labeled
examples and predicts predefined class labels for new records.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
Classifying email messages as spam or not spam.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;14. Differentiate between slice and dice
operations.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Slice: Fixes one dimension
     to a single value. Example: sales for 2026 only.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Dice: Selects a subset using
     multiple conditions or ranges across dimensions. Example: sales for selected
     products, regions and quarters.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;15. What is visualization fit?&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Visualization
fit is the suitability of a visual representation for the data, analytical
question, intended audience and communication goal.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;For
example, a line chart is suitable for showing monthly sales trends, while a bar
chart is suitable for comparing branches.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;16. Explain missing-data handling methods and
outlier detection techniques.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Missing
data occurs when values are unavailable for one or more attributes. Outliers
are observations that differ substantially from the general pattern.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Missing-data handling methods&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Deletion: Remove records or
     attributes when justified and when sufficient data remains.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Mean imputation: Replace
     missing numerical values with the mean.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Median imputation: Use the
     median when data contains extreme values or is skewed.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Mode imputation: Replace
     missing categorical values with the most frequent category.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Model-based imputation:
     Estimate missing values using suitable statistical or machine-learning models.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Outlier detection methods&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Z-score: Identifies
     observations far from the mean in standard-deviation units.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;IQR method: Flags
     observations outside the usual \(1.5\times IQR\) fences.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Box plot: Visually displays
     the distribution and potential outliers.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Clustering: Identifies
     observations that do not fit the major groups.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Isolation Forest or other
     anomaly detectors: Identifies unusual observations using model-based
     approaches.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
In salary data, a median may be more representative than a mean when a few
executive salaries are extremely high.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
Missing values and outliers should be investigated carefully. An outlier may
represent an error or a genuine, important event.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;17. Compare statistical and graphical methods for
summarizing data.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Statistical
methods summarize data using numerical measurements, while graphical methods
present patterns visually.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;table border=&quot;1&quot; cellpadding=&quot;0&quot; class=&quot;MsoNormalTable&quot; style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-cellspacing: 1.5pt; mso-yfti-tbllook: 1184;&quot;&gt;
 &lt;tbody&gt;&lt;tr style=&quot;mso-yfti-firstrow: yes; mso-yfti-irow: 0;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Statistical methods&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Graphical methods&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 1;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Mean
  and median&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Histogram&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 2;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Mode&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Bar
  chart&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 3;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Range
  and variance&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Box
  plot&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 4;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Standard
  deviation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Scatter
  plot&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 5; mso-yfti-lastrow: yes;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Quartiles
  and percentiles&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Line
  chart&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Statistical
methods&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Provide precise numerical
     summaries.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Enable quantitative
     comparison.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Support further
     calculations.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;May conceal complex patterns
     when only a few statistics are reported.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Graphical
methods&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Make distributions and
     trends easier to recognize.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Help identify clusters, gaps
     and potential outliers.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Support communication to
     non-technical audiences.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Can mislead if axes, scales
     or chart types are inappropriate.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
A dataset&#39;s mean and standard deviation summarize its center and spread, while
a histogram shows whether the distribution is skewed or multimodal.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
Statistical and graphical methods are complementary and should be used
together.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;19. Explain how Apriori-TID, DHP and DIC improve or
modify frequent-itemset mining.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;These
algorithms are designed to discover frequent itemsets while reducing the
computational cost of mining.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;1.
Apriori-TID&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Uses candidate itemsets
     associated with transaction identifiers.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;After the initial iteration,
     it can operate on this alternative representation rather than repeatedly
     scanning the original transaction format.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;It can be efficient when the
     candidate representation becomes smaller than the original database.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;It may be expensive when the
     representation becomes large.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;2. DHP
(Direct Hashing and Pruning)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Uses hashing to reduce
     candidate itemsets.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Hash-table bucket counts
     help eliminate candidate pairs that cannot satisfy minimum support.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Prunes transactions by
     removing items that cannot participate in frequent itemsets.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Reduces candidate generation
     and database-processing costs.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;3. DIC
(Dynamic Itemset Counting)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Introduces candidate
     itemsets dynamically during database scanning.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Uses checkpoints to evaluate
     itemset support.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Can reduce the need to wait
     for complete scans before introducing new candidates.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Its performance depends on
     data distribution and checkpoint settings.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Comparison&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;table border=&quot;1&quot; cellpadding=&quot;0&quot; class=&quot;MsoNormalTable&quot; style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-cellspacing: 1.5pt; mso-yfti-tbllook: 1184;&quot;&gt;
 &lt;tbody&gt;&lt;tr style=&quot;mso-yfti-firstrow: yes; mso-yfti-irow: 0;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Algorithm&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Main idea&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 1;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Apriori-TID&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Alternative
  transaction–candidate representation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 2;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;DHP&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Hashing
  and pruning&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 3; mso-yfti-lastrow: yes;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;DIC&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Dynamic
  introduction of candidates&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
Each method attempts to reduce some cost of basic Apriori, but no single method
is guaranteed to be best for every dataset.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;18. Discuss how association rules can support
direct marketing.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Association
rules identify relationships among products or customer activities.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;For a
rule \(X\rightarrow Y\):&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Support measures how often
     \(X\) and \(Y\) occur together.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Confidence measures how
     often \(Y\) occurs when \(X\) occurs.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Lift compares the observed
     co-occurrence with what would be expected under independence.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Applications&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Recommend related products.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Design product bundles.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Send personalized
     promotional messages.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Identify useful
     cross-selling opportunities.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Improve campaign targeting.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Support customer-retention
     strategies.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
If customers buying printers often purchase ink cartridges, a retailer may
recommend cartridges to relevant printer buyers.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Marketing
success should be evaluated using conversion rates, incremental revenue and
customer retention rather than rule confidence alone.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;20. Describe the Bayes classification method.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Bayes
classification uses probability theory to predict the class of an observation.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Bayes’
theorem is:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;\[
P(C\mid X)=\frac{P(X\mid C)P(C)}{P(X)} \]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Where:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;\(C\) is a class.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;\(X\) is an observed feature
     set.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;\(P(C)\) is the prior
     probability.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;\(P(X\mid C)\) is the
     likelihood.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;\(P(C\mid X)\) is the
     posterior probability.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Procedure:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Obtain labeled training
     data.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Estimate prior class
     probabilities.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Estimate the likelihood of
     the observed features for each class.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Calculate posterior
     probabilities.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Assign the observation to
     the class with the highest posterior probability.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
A medical decision-support model may estimate the probability of a category
based on observed symptoms. Such a model requires appropriate validation and
should not replace professional diagnosis.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Advantages:
Simple, computationally efficient and often effective for high-dimensional
data.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Limitation:
Naïve Bayes assumes conditional independence among features given the class, an
assumption that may not hold in real datasets.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;21. Discuss the quality measures of cluster
analysis.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Clustering
quality measures help determine whether objects are grouped meaningfully.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;1.
Within-cluster cohesion: Measures similarity among objects in the same cluster.
Higher cohesion is generally desirable.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;2.
Between-cluster separation: Measures differences among distinct clusters.
Greater separation is generally desirable.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;3.
Silhouette coefficient: Compares an object&#39;s average within-cluster distance
with its average distance to the nearest alternative cluster.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;\[
s(i)=\frac{b(i)-a(i)}{\max(a(i),b(i))} \]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Here,
\(a(i)\) is the average distance within its cluster and \(b(i)\) is the lowest
average distance to another cluster. Values closer to 1 generally indicate
better assignment.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;4.
Davies–Bouldin index: Compares within-cluster scatter with distances between
cluster centers. Lower values generally indicate better clustering.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;5. Domain
validity: Checks whether clusters have useful real-world meaning.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
A suitable clustering assessment combines numerical measures with knowledge of
the data and intended application.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;23. Describe multidimensional views and their
implementations.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;A multidimensional
view organizes measures by several dimensions, enabling analysis from different
perspectives.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Components&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Facts: Events being
     measured, such as sales.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Measures: Revenue, quantity
     or profit.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Dimensions: Product, time,
     customer and region.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Hierarchies: Levels such as
     day → month → year.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
A sales cube analyzes revenue by product, region and quarter.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Implementation
methods&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;ROLAP: Stores data in
     relational tables and performs analytical operations through relational
     database technology.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;MOLAP: Uses multidimensional
     storage structures and precomputed or optimized cube data.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;HOLAP: Combines relational
     storage with multidimensional structures.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Benefits&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Multidimensional comparison.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Faster analysis of common
     queries.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Support for historical
     trends.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Easier reporting and
     decision-making.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
The appropriate implementation depends on data volume, query patterns, storage
requirements and performance needs.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;22. Explain the major data cube operations with
suitable examples.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;A data
cube organizes numerical measures across dimensions such as product, time and
region.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;1.
Roll-up: Aggregates detailed data to a higher level.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
Daily sales → monthly sales.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;2.
Drill-down: Moves from summary data to greater detail.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
Annual sales → quarterly sales → monthly sales.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;3. Slice:
Fixes one dimension to a single value.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
Select sales for the year 2026.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;4. Dice:
Selects a subset across multiple dimensions.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
Sales for two products in selected regions during two quarters.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;5. Pivot:
Changes the orientation of dimensions to provide a different view.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
Display regions as columns instead of rows.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
These operations allow managers to summarize, filter and explore data from
different analytical perspectives.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;24. Explain visualization planning and the process
of selecting appropriate plots.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Visualization
planning ensures that the chosen chart communicates the intended message
accurately.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Steps&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Define the objective:
     Identify the question the visualization should answer.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Understand the audience:
     Determine the audience&#39;s knowledge and information needs.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Identify data types:
     Determine whether the variables are categorical, numerical, temporal or
     geographic.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Choose the chart: Select the
     visual form that suits the task.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Design scales and labels:
     Include units, legends and meaningful titles.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Reduce clutter: Remove
     unnecessary decorations and excessive colors.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Validate accuracy: Check
     calculations, axes and data sources.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Evaluate usability: Confirm
     that the intended audience can understand the result.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Chart
selection&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;table border=&quot;1&quot; cellpadding=&quot;0&quot; class=&quot;MsoNormalTable&quot; style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-cellspacing: 1.5pt; mso-yfti-tbllook: 1184;&quot;&gt;
 &lt;tbody&gt;&lt;tr style=&quot;mso-yfti-firstrow: yes; mso-yfti-irow: 0;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Objective&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Suitable chart&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 1;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Compare
  categories&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Bar
  chart&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 2;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Show
  trends over time&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Line
  chart&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 3;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Examine
  a distribution&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Histogram
  or box plot&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 4;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Examine
  relationships&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Scatter
  plot&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 5;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Display
  geographic patterns&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Map&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 6; mso-yfti-lastrow: yes;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Compare
  several indicators&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Dashboard&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
A college should use a line chart for semester-wise attendance trends and a bar
chart for comparing departments.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
Good visualization planning produces accurate, clear and actionable
presentations.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;26. Discuss the developments in data visualization
and their role in decision-making.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Data
visualization has developed from manually prepared charts to interactive
dashboards and AI-assisted analytical tools.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Developments&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Traditional charts and statistical
     graphs.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Computer-generated graphics.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Business intelligence
     dashboards.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Interactive and
     multidimensional visualization.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Geographic and spatial
     visualization.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Real-time streaming
     dashboards.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;AI-assisted chart selection
     and natural-language analytics.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Role in
decision-making&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Detect trends and patterns.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Compare business or
     institutional performance.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Monitor key performance
     indicators.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Identify potential
     anomalies.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Communicate findings
     quickly.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Support planning and
     resource allocation.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
A college administrator can compare attendance, pass percentages and enrollment
trends to plan academic support.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Limitations:
Poor chart selection, misleading scales, inaccurate data and visual overload
can lead to incorrect conclusions.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
Modern visualization improves decision-making when combined with reliable data,
appropriate analytical methods and clear communication.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;25. Explain the major real-world applications,
techniques, limitations and suitable software of data mining with examples.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Data
mining is the process of discovering useful patterns, relationships and
knowledge from large datasets.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;1. Major applications&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Banking: Fraud detection,
     credit-risk assessment and customer analysis.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Healthcare: Analysis of
     clinical records and hospital operations.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Retail: Market-basket
     analysis and product recommendations.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Education:
     Student-performance analysis and identification of students requiring
     support.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Telecommunications: Customer
     churn analysis and service optimization.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Manufacturing: Defect
     detection and predictive maintenance.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;2. Major data mining techniques&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;table border=&quot;1&quot; cellpadding=&quot;0&quot; class=&quot;MsoNormalTable&quot; style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-cellspacing: 1.5pt; mso-yfti-tbllook: 1184;&quot;&gt;
 &lt;tbody&gt;&lt;tr style=&quot;mso-yfti-firstrow: yes; mso-yfti-irow: 0;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Technique&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Purpose&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 1;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Classification&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Predict
  predefined classes&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Spam
  detection&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 2;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Clustering&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Group
  similar observations&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Customer
  segmentation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 3;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Association
  rules&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Discover
  co-occurring items&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Market-basket
  analysis&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 4;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Regression&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Predict
  numerical values&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Sales
  forecasting&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 5; mso-yfti-lastrow: yes;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Outlier
  detection&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Find
  unusual observations&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Fraud
  screening&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;3. Data mining process&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Data Collection&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;↓&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Preprocessing&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;↓&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Data Transformation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;↓&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Algorithm Selection&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;↓&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Model Building&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;↓&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Evaluation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;↓&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Knowledge Presentation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;↓&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Decision-Making&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;4. Suitable software&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Python: Data preparation,
     machine learning and visualization using suitable libraries.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;R: Statistical analysis and
     data visualization.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;WEKA: Data mining
     experiments and educational demonstrations.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;RapidMiner: Visual
     workflow-based analytics.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;SQL-based tools: Data
     extraction and preparation.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Apache Spark: Distributed
     processing of large datasets.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;5. Limitations&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Poor data quality can
     produce unreliable results.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Large datasets may require
     substantial computational resources.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Privacy and security must be
     protected.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Biased data can produce
     biased predictions.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Complex models may be
     difficult to interpret.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Patterns do not necessarily
     prove causation.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
A bank can use classification to flag suspicious transactions, but the flagged
transactions should be reviewed appropriately rather than automatically assumed
to be fraud.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
Data mining supports many practical applications, but effective results require
reliable data, suitable algorithms, validation and responsible use.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;27. Explain FP-Growth and compare it with
candidate-generation approaches.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;FP-Growth
stands for Frequent Pattern Growth. It is an association-rule mining method
that discovers frequent itemsets without explicitly generating candidate
itemsets at every level as Apriori does.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Steps in FP-Growth&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Step 1:
Scan the database.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Count the
frequency of each item and remove items below the minimum-support threshold.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Step 2:
Sort frequent items.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Arrange
the remaining items in descending order of frequency.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Step 3:
Construct the FP-Tree.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Insert
transactions into a prefix tree. Transactions sharing prefixes can share nodes,
reducing repeated storage.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Step 4:
Create conditional pattern bases.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;For each
item, identify the prefix paths associated with that item.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Step 5:
Construct conditional FP-Trees.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Build
smaller conditional trees from the relevant prefix paths.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Step 6:
Mine frequent patterns.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Recursively
discover frequent itemsets from conditional trees.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Illustration&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Transaction Database&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Count Item Frequencies&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Sort Frequent Items&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Construct FP-Tree&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Generate Conditional&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Pattern Bases&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Construct Conditional&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;FP-Trees&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Discover Frequent Itemsets&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Generate Association Rules&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Comparison&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;table border=&quot;1&quot; cellpadding=&quot;0&quot; class=&quot;MsoNormalTable&quot; style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-cellspacing: 1.5pt; mso-yfti-tbllook: 1184;&quot;&gt;
 &lt;tbody&gt;&lt;tr style=&quot;mso-yfti-firstrow: yes; mso-yfti-irow: 0;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Feature&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Apriori&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;FP-Growth&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 1;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Candidate
  generation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Explicitly
  generates candidates&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Avoids
  explicit candidate generation at each level&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 2;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Data
  representation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Transaction
  database and candidate sets&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;FP-Tree
  and conditional pattern bases&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 3;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Database
  scans&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Multiple
  scans&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Usually
  two main scans to construct the tree&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 4;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Memory
  use&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Candidate
  sets can become large&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Tree
  can be compact, but may also grow large&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 5;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Best
  use&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Relatively
  manageable candidate sets&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Often
  effective when many frequent patterns exist&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 6; mso-yfti-lastrow: yes;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Main
  limitation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Candidate
  explosion&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Tree
  construction and recursive mining can be costly&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
FP-Growth is often more efficient than Apriori on datasets with many frequent
patterns, although actual performance depends on data structure, density and
available memory.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;28. Compare partitional, hierarchical and density-based
clustering methods.Select appropriate validity measures for a dataset.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Clustering
is an unsupervised learning technique that groups similar objects without
predefined class labels.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;1. Partitional clustering&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Partitional
clustering divides a dataset into a specified number of clusters.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
K-means.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Advantages:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Simple and efficient for
     many numerical datasets.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Easy to interpret.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Useful when the number of
     clusters is known or can be estimated.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Limitations:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;K-means requires the number
     of clusters to be specified.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;It can be sensitive to
     initialization and outliers.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;It works best with
     approximately compact, spherical clusters under its usual distance
     objective.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;2. Hierarchical clustering&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Hierarchical
clustering creates a hierarchy of nested clusters.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Agglomerative: Starts with
     individual observations and merges clusters.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Divisive: Starts with a
     large cluster and splits it into smaller clusters.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;The
hierarchy can be displayed using a dendrogram.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Advantages:
Reveals relationships at multiple levels and does not always require choosing
the final cluster count in advance.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Limitations:
Can be computationally expensive and sensitive to distance and linkage choices.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;3. Density-based clustering&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Density-based
methods identify dense regions separated by relatively sparse areas.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
DBSCAN.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Advantages:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Can discover irregularly
     shaped clusters.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Can identify noise and
     outliers.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Does not require specifying
     the number of clusters directly.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Limitations:
Parameter selection can be difficult, especially when clusters have different
densities.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Comparison&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;table border=&quot;1&quot; cellpadding=&quot;0&quot; class=&quot;MsoNormalTable&quot; style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-cellspacing: 1.5pt; mso-yfti-tbllook: 1184;&quot;&gt;
 &lt;tbody&gt;&lt;tr style=&quot;mso-yfti-firstrow: yes; mso-yfti-irow: 0;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Feature&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Partitional&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Hierarchical&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Density-based&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 1;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;K-means&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Agglomerative
  clustering&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;DBSCAN&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 2;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Output&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Fixed
  partition&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Cluster
  hierarchy&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Dense
  regions and noise&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 3;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Cluster
  shape&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Often compact&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Depends
  on distance/linkage&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Can be
  irregular&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 4;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Outlier
  handling&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Often
  sensitive&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Depends
  on method&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Explicit
  noise identification in DBSCAN&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 5; mso-yfti-lastrow: yes;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Main
  parameter&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Number
  of clusters&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Distance/linkage
  and cut level&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Density
  parameters&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Cluster validity measures&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Silhouette coefficient:
     Higher values generally indicate better cohesion and separation.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Davies–Bouldin index: Lower
     values generally indicate better clustering.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Within-cluster sum of
     squares: Often used to evaluate compactness for K-means.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Domain validation: Checks
     whether the clusters are meaningful for the real-world application.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example:
For customer coordinates forming irregular geographic groups with noise, DBSCAN
may be suitable. Silhouette analysis can help assess quality, with care taken
when noise points or unusual cluster shapes are present.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
The best algorithm depends on data distribution, cluster shape, noise,
scalability and the intended use of the clusters.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;29. Design a multidimensional data warehouse for a
retail organization.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;A retail
data warehouse integrates sales data to support analysis by product, time,
store, customer and geography.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;1. Proposed architecture&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;POS Systems&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;Online Store&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;Inventory System&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;\&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;/&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;\&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;/&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;Data Integration&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;(ETL / ELT)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;Staging Area&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;Retail Data Warehouse&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;+-------+-------+&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;|&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;v&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;Data Marts&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;OLAP Cubes&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;|&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;+-------+-------+&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;|&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;v&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0.0001pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Courier New&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;Reports and Dashboards&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;2. Fact table&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Fact_Sales&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;table border=&quot;1&quot; cellpadding=&quot;0&quot; class=&quot;MsoNormalTable&quot; style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-cellspacing: 1.5pt; mso-yfti-tbllook: 1184;&quot;&gt;
 &lt;tbody&gt;&lt;tr style=&quot;mso-yfti-firstrow: yes; mso-yfti-irow: 0;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Field&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Description&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 1;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Date_Key&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Links
  to date dimension&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 2;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Product_Key&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Links
  to product dimension&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 3;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Store_Key&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Links
  to store dimension&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 4;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Customer_Key&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Links
  to customer dimension&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 5;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Quantity&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Number
  of units sold&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 6;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Sales_Amount&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Total
  sales value&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 7;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Cost_Amount&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Cost of
  goods sold&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 8; mso-yfti-lastrow: yes;&quot;&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Discount_Amount&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Discount
  given&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;The
dimension keys connect the fact table to descriptive information.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;3. Dimension tables&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Dim_Date:
Date, day, month, quarter and year.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Dim_Product:
Product name, category, brand and supplier.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Dim_Store:
Store name, city, state and region.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Dim_Customer:
Customer category and permitted analytical attributes.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;4. Measures&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Total revenue = Sum of
     Sales_Amount.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Units sold = Sum of
     Quantity.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Total cost = Sum of
     Cost_Amount.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Gross profit = Revenue −
     Cost.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Discount total = Sum of
     Discount_Amount.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;5. OLAP operations&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Roll-up: Daily sales into
     monthly or yearly sales.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Drill-down: Annual revenue
     into quarter, month and day.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Slice: Select sales for a
     particular year.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Dice: Select specific
     products, regions and quarters.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Pivot: Change the
     arrangement of products and regions in a report.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;6. Sample analytical queries&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Which product category
     generates the highest revenue?&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Which region has the lowest
     sales growth?&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;How does quarterly
     performance compare with the previous year?&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Which stores have high
     revenue but low gross profit?&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;7. Implementation considerations&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Maintain consistent product
     and store identifiers.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Validate incoming records
     and handle duplicates.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Apply suitable access
     controls and privacy protections.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Plan data refresh frequency.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Optimize common queries and
     historical storage.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
A multidimensional retail warehouse provides consistent historical information
and helps management make informed decisions about inventory, pricing,
marketing and store performance.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 13.5pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;29. Explain how to present findings and justify
visualization choices based on audience, perception and decision-making needs.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Answer:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Data
visualization communicates analytical results through charts, maps, dashboards
and other visual forms.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;1. Understand the audience&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;The
presentation should reflect the audience&#39;s background.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Executives generally need
     key indicators and major findings.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Analysts may need detailed
     distributions and relationships.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;General audiences need clear
     labels and minimal technical terminology.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;2. Identify the objective&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Determine
whether the goal is to compare categories, show a trend, understand a
distribution, identify a relationship or communicate a geographic pattern.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;3. Choose an appropriate plot&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;table border=&quot;0&quot; cellpadding=&quot;0&quot; class=&quot;MsoNormalTable&quot; style=&quot;mso-cellspacing: 1.5pt; mso-yfti-tbllook: 1184;&quot;&gt;
 &lt;tbody&gt;&lt;tr style=&quot;mso-yfti-firstrow: yes; mso-yfti-irow: 0;&quot;&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Analytical purpose&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Recommended visualization&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: center;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Example&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 1;&quot;&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Category
  comparison&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Bar
  chart&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Department-wise
  pass percentage&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 2;&quot;&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Time
  trend&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Line
  chart&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Monthly
  attendance&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 3;&quot;&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Distribution&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Histogram&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Student
  marks&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 4;&quot;&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Relationship&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Scatter
  plot&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Attendance
  versus marks&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 5;&quot;&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Multiple
  comparisons&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Heat
  map&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Subject-wise
  results&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 6;&quot;&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Geographic
  analysis&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Map&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Region-wise
  enrollment&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;mso-yfti-irow: 7; mso-yfti-lastrow: yes;&quot;&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Overall
  monitoring&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Dashboard&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;padding: .75pt .75pt .75pt .75pt;&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;College
  performance&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;4. Apply visual perception principles&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Use position and length for accurate
     comparisons.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Use consistent scales.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Use color to group or
     emphasize meaningful information.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Avoid unnecessary 3D
     effects.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Maintain readable labels and
     adequate contrast.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Use appropriate chart sizes
     and whitespace.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;5. Present findings clearly&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;A good
presentation should include:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ol start=&quot;1&quot; type=&quot;1&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;A meaningful title.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Correct data and measurement
     units.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Clear labels and legends.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Important patterns or
     exceptions.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;A concise interpretation.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;The data source and relevant
     period.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;A practical implication or
     recommended next step.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;6. Avoid misleading presentation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Do not
distort scales, selectively omit important data, use unexplained percentages or
imply causation from a simple correlation.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;7. Connect findings to decisions&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;For
example, if a chart shows declining attendance in one department, the report
should identify the period, compare relevant groups and suggest further
investigation before recommending an intervention.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Conclusion:
Effective visualization combines accurate data, appropriate chart selection, an
understanding of human perception and a clear decision-making purpose.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;b&gt;&lt;span style=&quot;color: red; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 18.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Final revision guide&lt;a name=&quot;_GoBack&quot;&gt;&lt;/a&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;For your
examination, prioritize the following topics:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 16.0pt; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Unit I: Data mining process, preprocessing,
     missing values, outliers, distance measures and visualization.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 16.0pt; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Unit II: Apriori, FP-Growth, support,
     confidence, lift and direct marketing.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 16.0pt; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Unit III: Decision trees, information gain,
     Naïve Bayes, predictive accuracy and clustering.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 16.0pt; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Unit IV: Data warehouse architecture, ODS,
     OLAP operations and multidimensional data cubes.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 16.0pt; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;Unit V: Visualization fit, chart selection,
     visual perception, common mistakes and effective presentation.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-IN;&quot;&gt;.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: left;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/p&gt;&lt;div style=&quot;text-align: left;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/2759949073817257264'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/2759949073817257264'/><link rel='alternate' type='text/html' href='http://rgkumaran.blogspot.com/2026/11/iii-ds-data-mining-data-warehousing-and.html' title='III DS DATA MINING DATA WAREHOUSING AND DATA VISUALIZATION'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author></entry><entry><id>tag:blogger.com,1999:blog-207255288551257803.post-5039996241999298254</id><published>2026-11-06T06:11:55.710-08:00</published><updated>2026-11-06T06:11:55.710-08:00</updated><title type='text'>RGK STICKERS</title><content type='html'>&lt;p&gt;&amp;nbsp;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiuWHCVWjhvpipFZYBJDYSY-zh9s4c-H7pLpH14O9mkFooFeYw0GxkOQ1Tuzh1TGN_p3hxmnetrmH-rVSxCuoSrS2U0cVV_tl29RdUUV5nVuYbeQH3ZAYjxYBSKEaRAHN4MxehOoF7fIq-2fm4Xc2MWRaXu4JgEeb-cIj0OPqSYE8bm_IpJMCDoS-_-xiE/s1312/rgk%20gravity.jpg&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; data-original-height=&quot;1312&quot; data-original-width=&quot;1199&quot; height=&quot;320&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiuWHCVWjhvpipFZYBJDYSY-zh9s4c-H7pLpH14O9mkFooFeYw0GxkOQ1Tuzh1TGN_p3hxmnetrmH-rVSxCuoSrS2U0cVV_tl29RdUUV5nVuYbeQH3ZAYjxYBSKEaRAHN4MxehOoF7fIq-2fm4Xc2MWRaXu4JgEeb-cIj0OPqSYE8bm_IpJMCDoS-_-xiE/s320/rgk%20gravity.jpg&quot; width=&quot;292&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZhp_d6nuUf_arpVFmI0A6KzkGoVZnVi1T9sGbAWnBLsx9xIOGNf02ZzLDo9jvsb4s4kB5hCJmVOhJpSwCPpnNqqxH-Ea1YleMEcc5LeyUWegjPfbw6fJGVYJq-Ream3UZeVjTYQhn2itR5fmEb97XXNJk8TZPWbGQlTn8PpGXLx7Neo0d1O6CwzTkCiY/s1286/rgk%20diwali.jpeg&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; data-original-height=&quot;1286&quot; data-original-width=&quot;1223&quot; height=&quot;320&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZhp_d6nuUf_arpVFmI0A6KzkGoVZnVi1T9sGbAWnBLsx9xIOGNf02ZzLDo9jvsb4s4kB5hCJmVOhJpSwCPpnNqqxH-Ea1YleMEcc5LeyUWegjPfbw6fJGVYJq-Ream3UZeVjTYQhn2itR5fmEb97XXNJk8TZPWbGQlTn8PpGXLx7Neo0d1O6CwzTkCiY/s320/rgk%20diwali.jpeg&quot; width=&quot;304&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi6Y4C03AySehKB9jKDZuV1NCSZPDyAIXL0ARivh1dZ51aeR5Imv2dptn50UftSyYkz2uSfY5IFrz8muah5l0DsZTmo_QrTGPTHWUmHiOhQlMpec_vuxs329qfce9FDnEh639j1me7gJXLXsgv_13YHfNL-SRrqINHbO-9B1T-Dee4ldLDYViZmbZPIlog/s1286/rgk%20certified.jpeg&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; data-original-height=&quot;1286&quot; data-original-width=&quot;1223&quot; height=&quot;320&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi6Y4C03AySehKB9jKDZuV1NCSZPDyAIXL0ARivh1dZ51aeR5Imv2dptn50UftSyYkz2uSfY5IFrz8muah5l0DsZTmo_QrTGPTHWUmHiOhQlMpec_vuxs329qfce9FDnEh639j1me7gJXLXsgv_13YHfNL-SRrqINHbO-9B1T-Dee4ldLDYViZmbZPIlog/s320/rgk%20certified.jpeg&quot; width=&quot;304&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/5039996241999298254'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/5039996241999298254'/><link rel='alternate' type='text/html' href='http://rgkumaran.blogspot.com/2026/11/rgk-stickers.html' title='RGK STICKERS'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiuWHCVWjhvpipFZYBJDYSY-zh9s4c-H7pLpH14O9mkFooFeYw0GxkOQ1Tuzh1TGN_p3hxmnetrmH-rVSxCuoSrS2U0cVV_tl29RdUUV5nVuYbeQH3ZAYjxYBSKEaRAHN4MxehOoF7fIq-2fm4Xc2MWRaXu4JgEeb-cIj0OPqSYE8bm_IpJMCDoS-_-xiE/s72-c/rgk%20gravity.jpg" height="72" width="72"/></entry><entry><id>tag:blogger.com,1999:blog-207255288551257803.post-596851537168909368</id><published>2026-10-30T05:18:27.465-07:00</published><updated>2026-11-05T07:32:14.248-08:00</updated><title type='text'>RGK AI PROMPT </title><content type='html'>&lt;p&gt;&amp;nbsp;&lt;/p&gt;&lt;div class=&quot;separator&quot; 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data-original-width=&quot;980&quot; height=&quot;300&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjlyQfDBGuVRDi6wftsM67_TolEYpJ6JDmEojv8j2tCIxAo1CqjE8Me0MN8HsNQJZCtAJ9B_kHWqM7CjkNgxu5T-bmXvXTTuztQQwvsX0lF4Lnne0VoUSypEd16XYUHwtKxfQop2IVCoWWDt8baoaa0uFKgcNqybou2MAIurJM0lf3tDCGrvFlUT4BMZMY/w400-h300/1.jpg&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/596851537168909368'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/596851537168909368'/><link rel='alternate' type='text/html' href='http://rgkumaran.blogspot.com/2026/10/ai-prompt.html' title='RGK AI PROMPT '/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjpjVZ8EWuYLdxcV1054FSbUBmVikroZgMv3S9C_0Rt57PtG4CVtNbnrD41_KZ_14B75_I-W6IzAZTTOODqUrRtWMJqZxZ5KHIXe6gMa0Ph1q4HRh3K10g6CKZHJd4p-qyM9pFgD_sdFgtuU2qKtyCo1PlcfIP7rPaZsUk1E758CxmY23kYBnp7KeOGyp0/s72-w320-h400-c/RGK%20Contemplative%20Portrait%20in%20Shadow.png" height="72" width="72"/></entry><entry><id>tag:blogger.com,1999:blog-207255288551257803.post-2309618830303239954</id><published>2026-10-30T05:05:38.090-07:00</published><updated>2026-11-01T01:10:10.755-08:00</updated><title type='text'>DS TT NOV 26</title><content type='html'>&lt;p&gt;&lt;a href=&quot;https://drive.google.com/file/d/1UrZINBiMpoUNv6-O3WLXdhIsljO9ctU9/view?usp=drive_link&quot; target=&quot;_blank&quot;&gt;DATA MINING AND WAREHOUSING &lt;/a&gt;&amp;nbsp;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjsdSAwhpsM02h-GRyaSFeY57BoAZYIOe1HhFAdIlbmYSP2x_-NfIKaGoK0RkyacnefsoXs01pt1GnD8sYt_mdaUPOQLOEFa4aDMC1Z_ArnHOzya2r6UPYB0WQoXqmCVOA4o-aPjAkb_uz2CToPLp8I-vs6kQ4T_zyhlTNhg61Dsx0K7dBt7vDyOfW4T6w/s555/DS%20TT%20NOV%2026.png&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; data-original-height=&quot;555&quot; data-original-width=&quot;457&quot; height=&quot;640&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjsdSAwhpsM02h-GRyaSFeY57BoAZYIOe1HhFAdIlbmYSP2x_-NfIKaGoK0RkyacnefsoXs01pt1GnD8sYt_mdaUPOQLOEFa4aDMC1Z_ArnHOzya2r6UPYB0WQoXqmCVOA4o-aPjAkb_uz2CToPLp8I-vs6kQ4T_zyhlTNhg61Dsx0K7dBt7vDyOfW4T6w/w526-h640/DS%20TT%20NOV%2026.png&quot; width=&quot;526&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/2309618830303239954'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/2309618830303239954'/><link rel='alternate' type='text/html' href='http://rgkumaran.blogspot.com/2026/10/ds-tt-nov-26.html' title='DS TT NOV 26'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjsdSAwhpsM02h-GRyaSFeY57BoAZYIOe1HhFAdIlbmYSP2x_-NfIKaGoK0RkyacnefsoXs01pt1GnD8sYt_mdaUPOQLOEFa4aDMC1Z_ArnHOzya2r6UPYB0WQoXqmCVOA4o-aPjAkb_uz2CToPLp8I-vs6kQ4T_zyhlTNhg61Dsx0K7dBt7vDyOfW4T6w/s72-w526-h640-c/DS%20TT%20NOV%2026.png" height="72" width="72"/></entry><entry><id>tag:blogger.com,1999:blog-207255288551257803.post-6382036794727043965</id><published>2026-10-19T23:06:04.922-07:00</published><updated>2026-10-23T07:56:03.450-07:00</updated><title type='text'>RGK HAND BOOK OF COMPUTERS AND COMMUNICATION ENGINEERING</title><content type='html'>&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZ5XRZuPutpakmRNEBYzsPlrdtmO66WU2xCrfVf10sPiEZ30fzBiYxUXvRiEtLj1P2SI02QxSad8ShmXM0qx2Av8iA0XpylJsVbLnZpbL1VgKtTSc4JdNl1BMGYujyhDzd7AukQeP6OVaYaqTAVpX-z8F5xInkOsZ9uWQnx0pXTH4FHZMbrUgdUicxkV0/s1448/RGK%20Computers%20and%20Communication%20Handbook.png&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; data-original-height=&quot;1448&quot; data-original-width=&quot;1086&quot; height=&quot;640&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZ5XRZuPutpakmRNEBYzsPlrdtmO66WU2xCrfVf10sPiEZ30fzBiYxUXvRiEtLj1P2SI02QxSad8ShmXM0qx2Av8iA0XpylJsVbLnZpbL1VgKtTSc4JdNl1BMGYujyhDzd7AukQeP6OVaYaqTAVpX-z8F5xInkOsZ9uWQnx0pXTH4FHZMbrUgdUicxkV0/w480-h640/RGK%20Computers%20and%20Communication%20Handbook.png&quot; width=&quot;480&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgP_2So2I7DLfOAbSvfglzDVtlZqsTqCOWrvYpfYjc0wu5bbULQlijCnsLrkE7q_VkBSaUlwo24kDrIK6J4KWAYn2n4WLG7Ck2n4SOedKfwlMBFnL3UbEZKHXNpIMsswD0M2BnLNxFJ-FQk3WBsBMAWLjMW5ZJsfu8YjrziDo1K4oTgC2bipIJf7L9bpew/s1402/RGK%20Contemplative%20Portrait%20in%20Shadow.png&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; data-original-height=&quot;1402&quot; data-original-width=&quot;1122&quot; height=&quot;640&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgP_2So2I7DLfOAbSvfglzDVtlZqsTqCOWrvYpfYjc0wu5bbULQlijCnsLrkE7q_VkBSaUlwo24kDrIK6J4KWAYn2n4WLG7Ck2n4SOedKfwlMBFnL3UbEZKHXNpIMsswD0M2BnLNxFJ-FQk3WBsBMAWLjMW5ZJsfu8YjrziDo1K4oTgC2bipIJf7L9bpew/w512-h640/RGK%20Contemplative%20Portrait%20in%20Shadow.png&quot; width=&quot;512&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/6382036794727043965'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/6382036794727043965'/><link rel='alternate' type='text/html' href='http://rgkumaran.blogspot.com/2026/10/rgk-hand-book-of-computers-and.html' title='RGK HAND BOOK OF COMPUTERS AND COMMUNICATION ENGINEERING'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZ5XRZuPutpakmRNEBYzsPlrdtmO66WU2xCrfVf10sPiEZ30fzBiYxUXvRiEtLj1P2SI02QxSad8ShmXM0qx2Av8iA0XpylJsVbLnZpbL1VgKtTSc4JdNl1BMGYujyhDzd7AukQeP6OVaYaqTAVpX-z8F5xInkOsZ9uWQnx0pXTH4FHZMbrUgdUicxkV0/s72-w480-h640-c/RGK%20Computers%20and%20Communication%20Handbook.png" height="72" width="72"/></entry><entry><id>tag:blogger.com,1999:blog-207255288551257803.post-584790396769692870</id><published>2026-10-18T08:24:05.618-07:00</published><updated>2026-10-18T08:49:44.133-07:00</updated><title type='text'>JOURNAL LIST FROM Q1 TO Q4</title><content type='html'>&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjWS-54nsjPfD6W_g93jTd5RIp5v2xb6-JYEz5ce43EdOPP674whdCTGEeeV7yZAMPCw23p9LI_jfEvKWNUMAWZk2ketEhU4WCDbxzcxgQs4n6l6CnPtRsbRnn9SSAXYQqj2AzQkApmBYs8yLzyZr4HUeQHSX0PUy_jHVXkwvBiXdAC-c7ukzZO1Xpq_oA/s1254/18%2010%2026%20RGK.png&quot; style=&quot;display: block; padding: 1em 0; text-align: center; &quot;&gt;&lt;img alt=&quot;&quot; border=&quot;0&quot; width=&quot;600&quot; data-original-height=&quot;1254&quot; data-original-width=&quot;1254&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjWS-54nsjPfD6W_g93jTd5RIp5v2xb6-JYEz5ce43EdOPP674whdCTGEeeV7yZAMPCw23p9LI_jfEvKWNUMAWZk2ketEhU4WCDbxzcxgQs4n6l6CnPtRsbRnn9SSAXYQqj2AzQkApmBYs8yLzyZr4HUeQHSX0PUy_jHVXkwvBiXdAC-c7ukzZO1Xpq_oA/s600/18%2010%2026%20RGK.png&quot;/&gt;&lt;/a&gt;&lt;/div&gt;https://openaccessfinder.de/subjects/computer-science/?utm_source=chatgpt.com

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https://openaccessfinder.de/free-scopus-journals/?utm_source=chatgpt.com</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/584790396769692870'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/584790396769692870'/><link rel='alternate' type='text/html' href='http://rgkumaran.blogspot.com/2026/10/journal-list-from-q1-to-q4.html' title='JOURNAL LIST FROM Q1 TO Q4'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjWS-54nsjPfD6W_g93jTd5RIp5v2xb6-JYEz5ce43EdOPP674whdCTGEeeV7yZAMPCw23p9LI_jfEvKWNUMAWZk2ketEhU4WCDbxzcxgQs4n6l6CnPtRsbRnn9SSAXYQqj2AzQkApmBYs8yLzyZr4HUeQHSX0PUy_jHVXkwvBiXdAC-c7ukzZO1Xpq_oA/s72-c/18%2010%2026%20RGK.png" height="72" width="72"/></entry><entry><id>tag:blogger.com,1999:blog-207255288551257803.post-5264163916724995579</id><published>2026-10-18T07:09:44.378-07:00</published><updated>2026-10-18T07:16:17.963-07:00</updated><title type='text'>CS DS</title><content type='html'>&lt;iframe allowfullscreen=&quot;true&quot; frameborder=&quot;0&quot; height=&quot;389&quot; mozallowfullscreen=&quot;true&quot; src=&quot;https://docs.google.com/presentation/d/e/2PACX-1vT2yFtLpJhovs7Sg4sLqX817bWS_8jcw-USpYpgKRAzyQbGSljan4aiXhN7qIKzxg/pubembed?start=false&amp;amp;loop=false&amp;amp;delayms=3000&quot; webkitallowfullscreen=&quot;true&quot; width=&quot;540&quot;&gt;&lt;/iframe&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/5264163916724995579'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/5264163916724995579'/><link rel='alternate' type='text/html' href='http://rgkumaran.blogspot.com/2026/10/cs-ds.html' title='CS DS'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author></entry><entry><id>tag:blogger.com,1999:blog-207255288551257803.post-1883442991221048317</id><published>2026-10-10T09:32:17.438-07:00</published><updated>2026-10-10T09:45:57.188-07:00</updated><title type='text'>EXAMPLE AVASC CS &amp; DS </title><content type='html'>&lt;iframe src=&quot;https://docs.google.com/presentation/d/e/2PACX-1vRSXHPUO1O3QWbYlfKFpayQfGyJG9D7P6qtUFH47cNlkKlnyyC-OFbQc6I-2YYFDgzxcymPxUemL8-L/pubembed?start=false&amp;loop=false&amp;delayms=3000&quot; frameborder=&quot;0&quot; width=&quot;480&quot; height=&quot;299&quot; allowfullscreen=&quot;true&quot; mozallowfullscreen=&quot;true&quot; webkitallowfullscreen=&quot;true&quot;&gt;&lt;/iframe&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/1883442991221048317'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/1883442991221048317'/><link rel='alternate' type='text/html' href='http://rgkumaran.blogspot.com/2026/10/example-avasc-cs-ds.html' title='EXAMPLE AVASC CS &amp; DS '/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author></entry><entry><id>tag:blogger.com,1999:blog-207255288551257803.post-2681350376772029696</id><published>2026-09-27T07:18:32.795-07:00</published><updated>2026-09-27T07:18:32.795-07:00</updated><title type='text'>AI IMPORTANT LINKS </title><content type='html'>&lt;p&gt;&amp;nbsp;Real Python&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;realpython.com&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;Kaggle Learn&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;kaggle.com/learn&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;Fast.ai&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;course.fast.ai&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;Hugging Face Learn&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;huggingface.co/learn&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;DeepLearning.Al&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;deeplearning.ai/courses&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;LangChain Academy&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;academy.langchain .com&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;LlamaIndex&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;docs.llamaindex.ai&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;Pinecone Learn&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;pinecone.io/learn&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;Full Stack Deep Learning&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;fullstackdeeplearning .com&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;M Made With ML&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;madewithml.com 75&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;MLflow&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;miflow.org/docs&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;GitHub&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;github.com&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/2681350376772029696'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/2681350376772029696'/><link rel='alternate' type='text/html' href='http://rgkumaran.blogspot.com/2026/09/ai-important-links.html' title='AI IMPORTANT LINKS '/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author></entry><entry><id>tag:blogger.com,1999:blog-207255288551257803.post-3426251474878831929</id><published>2026-09-24T22:22:44.200-07:00</published><updated>2026-09-24T22:22:44.201-07:00</updated><title type='text'>AI LINKS</title><content type='html'>&lt;p&gt;&amp;nbsp;&lt;a href=&quot;http://omnivideo.net&quot; 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&amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;a href=&quot;http://eve-ng.net&quot; target=&quot;_blank&quot;&gt;EVE -NG&lt;/a&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;&lt;a href=&quot;http://app.ashna.ai/chat&quot; target=&quot;_blank&quot;&gt;RUNABLE FOR ALL&lt;/a&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&lt;a href=&quot;http://firstprompt.build&quot; target=&quot;_blank&quot;&gt;firstprompt.build&lt;/a&gt;&lt;a href=&quot;http://firstprompt.build&quot; target=&quot;_blank&quot;&gt;&lt;br /&gt;&lt;/a&gt;&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;&lt;a href=&quot;http://app.ashna.net&quot; target=&quot;_blank&quot;&gt;ASHNA AI&lt;/a&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;&lt;a href=&quot;http://free.ai&quot; target=&quot;_blank&quot;&gt;FREE AI&lt;/a&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;&lt;a href=&quot;http://arcade.padlet.com&quot; target=&quot;_blank&quot;&gt;PADLET&lt;/a&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;&lt;a href=&quot;http://theeffectsguy.store&quot; target=&quot;_blank&quot;&gt;The effects guy&lt;/a&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;&lt;a href=&quot;http://digilibraries.com&quot; target=&quot;_blank&quot;&gt;DIGILIBRARIES&lt;/a&gt;&lt;br /&gt;&lt;/p&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/3426251474878831929'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/3426251474878831929'/><link rel='alternate' type='text/html' href='http://rgkumaran.blogspot.com/2026/09/ai-links.html' title='AI LINKS'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><georss:featurename>Thanjavur, Tamil Nadu, India</georss:featurename><georss:point>10.787719 79.1384288</georss:point><georss:box>-17.522514836178846 43.9821788 39.097952836178848 114.2946788</georss:box></entry><entry><id>tag:blogger.com,1999:blog-207255288551257803.post-4593593427122667802</id><published>2026-09-23T00:25:37.889-07:00</published><updated>2026-09-23T00:25:37.890-07:00</updated><title type='text'>DATA SCIENCE V SEM NAAN MUDHALVAN PROJECT REFERENCE VIDEO LINK-26-27</title><content type='html'>&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;&lt;br /&gt;Project Reference Video Link&lt;br /&gt;&lt;br /&gt;https://youtu.be/J1KhQPSSh0s&lt;br /&gt;&lt;br /&gt;https://youtu.be/3nsUWtzpDz4&lt;br /&gt;&lt;br /&gt;https://youtu.be/zJ7xHkldHc0&lt;br /&gt;&lt;br /&gt;https://youtu.be/NPaL96Ujy4g&lt;br /&gt;&lt;br /&gt;https://youtu.be/VjQaecKbfUU&lt;/p&gt;&lt;p&gt;&amp;nbsp;&lt;/p&gt;&lt;p&gt;&amp;nbsp;&lt;/p&gt;&lt;p&gt;&amp;nbsp;&lt;/p&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/4593593427122667802'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/4593593427122667802'/><link rel='alternate' type='text/html' href='http://rgkumaran.blogspot.com/2026/09/data-science-v-sem-naan-mudhalvan.html' title='DATA SCIENCE V SEM NAAN MUDHALVAN PROJECT REFERENCE VIDEO LINK-26-27'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author></entry><entry><id>tag:blogger.com,1999:blog-207255288551257803.post-5488910253024745109</id><published>2026-09-20T07:41:23.748-07:00</published><updated>2026-09-20T07:41:47.921-07:00</updated><title type='text'>DATA MINING PROCESS</title><content type='html'>&lt;p&gt;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg2adm0RzDuf6dErw6JTYqiV5ie4-KNlc7NTtU8pw6HVVk5D8JD46by-QrtMOovphTW55bSP_PstUbBB_hT1mCRlb0QJjMVAGdbvWnpX8Vq_4voQFNOPcgfxEfOljC-4nSUAFUcQAC0aGUVBpfdfI3L7iA3NgwgvbxEpG-go9gXzBhJI0nBw9agMjSuDgc/s1536/UNIT%20I%20DATA%20MINING%20PROCESS.png&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; data-original-height=&quot;1024&quot; data-original-width=&quot;1536&quot; height=&quot;426&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg2adm0RzDuf6dErw6JTYqiV5ie4-KNlc7NTtU8pw6HVVk5D8JD46by-QrtMOovphTW55bSP_PstUbBB_hT1mCRlb0QJjMVAGdbvWnpX8Vq_4voQFNOPcgfxEfOljC-4nSUAFUcQAC0aGUVBpfdfI3L7iA3NgwgvbxEpG-go9gXzBhJI0nBw9agMjSuDgc/w640-h426/UNIT%20I%20DATA%20MINING%20PROCESS.png&quot; width=&quot;640&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;br /&gt;&amp;nbsp;&lt;p&gt;&lt;/p&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/5488910253024745109'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/5488910253024745109'/><link rel='alternate' type='text/html' href='http://rgkumaran.blogspot.com/2026/09/blog-post.html' title='DATA MINING PROCESS'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg2adm0RzDuf6dErw6JTYqiV5ie4-KNlc7NTtU8pw6HVVk5D8JD46by-QrtMOovphTW55bSP_PstUbBB_hT1mCRlb0QJjMVAGdbvWnpX8Vq_4voQFNOPcgfxEfOljC-4nSUAFUcQAC0aGUVBpfdfI3L7iA3NgwgvbxEpG-go9gXzBhJI0nBw9agMjSuDgc/s72-w640-h426-c/UNIT%20I%20DATA%20MINING%20PROCESS.png" height="72" width="72"/></entry><entry><id>tag:blogger.com,1999:blog-207255288551257803.post-5710729494316094095</id><published>2026-08-12T23:58:14.000-07:00</published><updated>2026-08-12T23:58:14.000-07:00</updated><title type='text'>EXCEL-DATE - DATA VALIDATION</title><content type='html'>&lt;p&gt;&amp;nbsp;&lt;strong data-end=&quot;31&quot; data-start=&quot;5&quot;&gt;Data Validation → Date&lt;/strong&gt; in Excel is useful when you want to allow users to enter &lt;strong data-end=&quot;133&quot; data-start=&quot;89&quot;&gt;only valid dates within a specific range&lt;/strong&gt;.&lt;/p&gt;
&lt;h3 data-end=&quot;196&quot; data-section-id=&quot;14kllgn&quot; data-start=&quot;136&quot;&gt;Example: Allow dates only from 1-Jan-2026 to 31-Dec-2026&lt;/h3&gt;
&lt;p data-end=&quot;230&quot; data-start=&quot;198&quot;&gt;Suppose you have this worksheet:&lt;/p&gt;
&lt;div class=&quot;group TyagGW_tableContainer&quot;&gt;&lt;div class=&quot;TyagGW_tableWrapper flex flex-col-reverse w-fit&quot; tabindex=&quot;-1&quot;&gt;&lt;table class=&quot;w-fit min-w-(--thread-content-width)&quot; data-end=&quot;340&quot; data-start=&quot;232&quot;&gt;&lt;thead data-end=&quot;259&quot; data-start=&quot;232&quot;&gt;&lt;tr data-end=&quot;259&quot; data-start=&quot;232&quot;&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;243&quot; data-start=&quot;232&quot;&gt;Employee&lt;/th&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;259&quot; data-start=&quot;243&quot;&gt;Joining Date&lt;/th&gt;&lt;/tr&gt;&lt;/thead&gt;&lt;tbody data-end=&quot;340&quot; data-start=&quot;270&quot;&gt;&lt;tr data-end=&quot;293&quot; data-start=&quot;270&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;278&quot; data-start=&quot;270&quot;&gt;Rahul&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;293&quot; data-start=&quot;278&quot;&gt;15-Jan-2026&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;317&quot; data-start=&quot;294&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;302&quot; data-start=&quot;294&quot;&gt;Priya&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;317&quot; data-start=&quot;302&quot;&gt;20-Mar-2026&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;340&quot; data-start=&quot;318&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;325&quot; data-start=&quot;318&quot;&gt;Amit&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;340&quot; data-start=&quot;325&quot;&gt;10-Jul-2026&lt;/td&gt;&lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt;&lt;/div&gt;&lt;/div&gt;
&lt;p data-end=&quot;408&quot; data-start=&quot;342&quot;&gt;You want the &lt;strong data-end=&quot;371&quot; data-start=&quot;355&quot;&gt;Joining Date&lt;/strong&gt; column to accept only dates in 2026.&lt;/p&gt;
&lt;h3 data-end=&quot;439&quot; data-section-id=&quot;1um9fdh&quot; data-start=&quot;410&quot;&gt;Step 1 — Select the cells&lt;/h3&gt;
&lt;p data-end=&quot;499&quot; data-start=&quot;441&quot;&gt;Select the cells where dates will be entered, for example:&lt;/p&gt;
&lt;p data-end=&quot;509&quot; data-start=&quot;501&quot;&gt;&lt;code data-end=&quot;509&quot; data-start=&quot;501&quot;&gt;B2:B20&lt;/code&gt;&lt;/p&gt;
&lt;h3 data-end=&quot;544&quot; data-section-id=&quot;t0t6rh&quot; data-start=&quot;511&quot;&gt;Step 2 — Open Data Validation&lt;/h3&gt;
&lt;p data-end=&quot;552&quot; data-start=&quot;546&quot;&gt;Go to:&lt;/p&gt;
&lt;p data-end=&quot;598&quot; data-start=&quot;554&quot;&gt;&lt;strong data-end=&quot;598&quot; data-start=&quot;554&quot;&gt;Data → Data Validation → Data Validation&lt;/strong&gt;&lt;/p&gt;
&lt;p data-end=&quot;776&quot; data-start=&quot;600&quot;&gt;Microsoft&#39;s Excel guidance confirms that Data Validation can restrict a cell to dates and lets you choose a restriction such as &quot;between.&quot; &lt;span class=&quot;contents&quot; data-content-reference-end=&quot;758&quot; data-content-reference-start=&quot;739&quot;&gt;&lt;span class=&quot;&quot; data-state=&quot;closed&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;h3 data-end=&quot;802&quot; data-section-id=&quot;e6yhsq&quot; data-start=&quot;778&quot;&gt;Step 3 — Choose Date&lt;/h3&gt;
&lt;p data-end=&quot;828&quot; data-start=&quot;804&quot;&gt;In the &lt;strong data-end=&quot;823&quot; data-start=&quot;811&quot;&gt;Settings&lt;/strong&gt; tab:&lt;/p&gt;
&lt;ul data-end=&quot;931&quot; data-start=&quot;830&quot;&gt;
&lt;li data-end=&quot;849&quot; data-section-id=&quot;hj7ven&quot; data-start=&quot;830&quot;&gt;
&lt;strong data-end=&quot;842&quot; data-start=&quot;832&quot;&gt;Allow:&lt;/strong&gt; &lt;code data-end=&quot;849&quot; data-start=&quot;843&quot;&gt;Date&lt;/code&gt;
&lt;/li&gt;
&lt;li data-end=&quot;871&quot; data-section-id=&quot;1j8hl1k&quot; data-start=&quot;850&quot;&gt;
&lt;strong data-end=&quot;861&quot; data-start=&quot;852&quot;&gt;Data:&lt;/strong&gt; &lt;code data-end=&quot;871&quot; data-start=&quot;862&quot;&gt;between&lt;/code&gt;
&lt;/li&gt;
&lt;li data-end=&quot;902&quot; data-section-id=&quot;18nl83k&quot; data-start=&quot;872&quot;&gt;
&lt;strong data-end=&quot;889&quot; data-start=&quot;874&quot;&gt;Start date:&lt;/strong&gt; &lt;code data-end=&quot;902&quot; data-start=&quot;890&quot;&gt;01/01/2026&lt;/code&gt;
&lt;/li&gt;
&lt;li data-end=&quot;931&quot; data-section-id=&quot;p7ir0u&quot; data-start=&quot;903&quot;&gt;
&lt;strong data-end=&quot;918&quot; data-start=&quot;905&quot;&gt;End date:&lt;/strong&gt; &lt;code data-end=&quot;931&quot; data-start=&quot;919&quot;&gt;31/12/2026&lt;/code&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;p data-end=&quot;980&quot; data-start=&quot;933&quot;&gt;The dialog should look approximately like this:&lt;/p&gt;
&lt;span class=&quot;contents&quot; data-content-reference-end=&quot;1063&quot; data-content-reference-start=&quot;964&quot;&gt;&lt;div class=&quot;no-scrollbar flex min-h-36 flex-nowrap gap-0.5 overflow-auto sm:gap-1 sm:overflow-hidden xl:min-h-44 mt-1 mb-5 not-first:mt-4&quot;&gt;&lt;div class=&quot;border-token-border-default relative w-32 shrink-0 overflow-hidden rounded-xl border-[0.5px] md:shrink max-h-64 sm:w-[calc((100%-0.5rem)/3)] rounded-s-xl&quot;&gt;&lt;div class=&quot;group/search-image @container/search-image relative rounded-[inherit] h-full w-full&quot;&gt;&lt;button aria-label=&quot;Open image details for Add or Remove Data Validation in Excel with Python | by Alice Yang | Medium&quot; class=&quot;h-full w-full overflow-hidden rounded-[inherit]&quot; type=&quot;button&quot;&gt;&lt;img alt=&quot;https://images.openai.com/static-rsc-4/8P5C0cMrMM_GeFLFfVrX-VGlWO5BlgFjkPy-BDpFKyr-tCh7h4GJuohjJhnuLyoSkdDoE63GfkxB4KKzBvORzic0T0eAbXibPw_VpK4r9U6UocQ5HnX1PzRWsMIBL464RY32ecI_wRmDn8mkfbVAEwbUVfwqMo2-ml-vNWPQHM86_q7x5Gwy5515wThuAemm?purpose=fullsize&quot; class=&quot;bg-token-main-surface-tertiary m-0 h-full w-full object-cover&quot; referrerpolicy=&quot;no-referrer&quot; src=&quot;https://images.openai.com/static-rsc-4/8P5C0cMrMM_GeFLFfVrX-VGlWO5BlgFjkPy-BDpFKyr-tCh7h4GJuohjJhnuLyoSkdDoE63GfkxB4KKzBvORzic0T0eAbXibPw_VpK4r9U6UocQ5HnX1PzRWsMIBL464RY32ecI_wRmDn8mkfbVAEwbUVfwqMo2-ml-vNWPQHM86_q7x5Gwy5515wThuAemm?purpose=fullsize&quot; /&gt;&lt;/button&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;border-token-border-default relative w-32 shrink-0 overflow-hidden rounded-xl border-[0.5px] md:shrink max-h-64 sm:w-[calc((100%-0.5rem)/3)] rounded-e-xl&quot;&gt;&lt;div class=&quot;group/search-image @container/search-image relative rounded-[inherit] h-full w-full&quot;&gt;&lt;button aria-label=&quot;Open image details for Excel Data Validation (With Examples) | Career Principles&quot; class=&quot;h-full w-full overflow-hidden rounded-[inherit]&quot; type=&quot;button&quot;&gt;&lt;img alt=&quot;https://images.openai.com/static-rsc-4/KVtUaZq-rO3K-GJ3Re6rElGHSkTXqn9SA6rH8K_Y8gvmO8yD5qPMJxL0jnPfCTrDye9wFIBT8Tp03iFBQVIBRc6web-DmNwbCURsk15Y7OyRFEkm3i9iSHSw0cL68l_WVIN9THJOwOqNexj2uAv-pS3TxaO36pSD5bnnhe5mtzDLDfcylJhZwCX5iUojTS68?purpose=fullsize&quot; class=&quot;bg-token-main-surface-tertiary m-0 h-full w-full object-cover&quot; referrerpolicy=&quot;no-referrer&quot; src=&quot;https://images.openai.com/static-rsc-4/KVtUaZq-rO3K-GJ3Re6rElGHSkTXqn9SA6rH8K_Y8gvmO8yD5qPMJxL0jnPfCTrDye9wFIBT8Tp03iFBQVIBRc6web-DmNwbCURsk15Y7OyRFEkm3i9iSHSw0cL68l_WVIN9THJOwOqNexj2uAv-pS3TxaO36pSD5bnnhe5mtzDLDfcylJhZwCX5iUojTS68?purpose=fullsize&quot; /&gt;&lt;/button&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/span&gt;
&lt;h3 data-end=&quot;1057&quot; data-section-id=&quot;1sycpu1&quot; data-start=&quot;1024&quot;&gt;Step 4 — Add an error message&lt;/h3&gt;
&lt;p data-end=&quot;1089&quot; data-start=&quot;1059&quot;&gt;Click the &lt;strong data-end=&quot;1084&quot; data-start=&quot;1069&quot;&gt;Error Alert&lt;/strong&gt; tab.&lt;/p&gt;
&lt;p data-end=&quot;1103&quot; data-start=&quot;1091&quot;&gt;For example:&lt;/p&gt;
&lt;ul data-end=&quot;1228&quot; data-start=&quot;1105&quot;&gt;
&lt;li data-end=&quot;1122&quot; data-section-id=&quot;19buz19&quot; data-start=&quot;1105&quot;&gt;
&lt;strong data-end=&quot;1117&quot; data-start=&quot;1107&quot;&gt;Style:&lt;/strong&gt; Stop
&lt;/li&gt;
&lt;li data-end=&quot;1148&quot; data-section-id=&quot;1t2z4vr&quot; data-start=&quot;1123&quot;&gt;
&lt;strong data-end=&quot;1135&quot; data-start=&quot;1125&quot;&gt;Title:&lt;/strong&gt; Invalid Date
&lt;/li&gt;
&lt;li data-end=&quot;1228&quot; data-section-id=&quot;58lftl&quot; data-start=&quot;1149&quot;&gt;
&lt;strong data-end=&quot;1169&quot; data-start=&quot;1151&quot;&gt;Error message:&lt;/strong&gt; &lt;code data-end=&quot;1228&quot; data-start=&quot;1170&quot;&gt;Please enter a date between 01-Jan-2026 and 31-Dec-2026.&lt;/code&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;p data-end=&quot;1243&quot; data-start=&quot;1230&quot;&gt;Click &lt;strong data-end=&quot;1242&quot; data-start=&quot;1236&quot;&gt;OK&lt;/strong&gt;.&lt;/p&gt;
&lt;p data-end=&quot;1268&quot; data-start=&quot;1245&quot;&gt;Now, if someone enters:&lt;/p&gt;
&lt;ul data-end=&quot;1381&quot; data-start=&quot;1270&quot;&gt;
&lt;li data-end=&quot;1297&quot; data-section-id=&quot;1jvhm1l&quot; data-start=&quot;1270&quot;&gt;
✅ &lt;code data-end=&quot;1286&quot; data-start=&quot;1274&quot;&gt;15/05/2026&lt;/code&gt; → accepted
&lt;/li&gt;
&lt;li data-end=&quot;1325&quot; data-section-id=&quot;abwomx&quot; data-start=&quot;1298&quot;&gt;
✅ &lt;code data-end=&quot;1314&quot; data-start=&quot;1302&quot;&gt;31/12/2026&lt;/code&gt; → accepted
&lt;/li&gt;
&lt;li data-end=&quot;1353&quot; data-section-id=&quot;1pf90vw&quot; data-start=&quot;1326&quot;&gt;
❌ &lt;code data-end=&quot;1342&quot; data-start=&quot;1330&quot;&gt;15/05/2025&lt;/code&gt; → rejected
&lt;/li&gt;
&lt;li data-end=&quot;1381&quot; data-section-id=&quot;1eqf6be&quot; data-start=&quot;1354&quot;&gt;
❌ &lt;code data-end=&quot;1370&quot; data-start=&quot;1358&quot;&gt;15/01/2027&lt;/code&gt; → rejected
&lt;/li&gt;
&lt;/ul&gt;
&lt;h3 data-end=&quot;1437&quot; data-section-id=&quot;79hvyu&quot; data-start=&quot;1383&quot;&gt;Another useful example: Today to 7 days from today&lt;/h3&gt;
&lt;p data-end=&quot;1475&quot; data-start=&quot;1439&quot;&gt;You can make the validation dynamic.&lt;/p&gt;
&lt;p data-end=&quot;1481&quot; data-start=&quot;1477&quot;&gt;Set:&lt;/p&gt;
&lt;p data-end=&quot;1576&quot; data-start=&quot;1483&quot;&gt;&lt;strong data-end=&quot;1493&quot; data-start=&quot;1483&quot;&gt;Allow:&lt;/strong&gt; Date&lt;br data-end=&quot;1501&quot; data-start=&quot;1498&quot; /&gt;
&lt;strong data-end=&quot;1510&quot; data-start=&quot;1501&quot;&gt;Data:&lt;/strong&gt; between&lt;br data-end=&quot;1521&quot; data-start=&quot;1518&quot; /&gt;
&lt;strong data-end=&quot;1536&quot; data-start=&quot;1521&quot;&gt;Start date:&lt;/strong&gt; &lt;code data-end=&quot;1547&quot; data-start=&quot;1537&quot;&gt;=TODAY()&lt;/code&gt;&lt;br data-end=&quot;1550&quot; data-start=&quot;1547&quot; /&gt;
&lt;strong data-end=&quot;1563&quot; data-start=&quot;1550&quot;&gt;End date:&lt;/strong&gt; &lt;code data-end=&quot;1576&quot; data-start=&quot;1564&quot;&gt;=TODAY()+7&lt;/code&gt;&lt;/p&gt;
&lt;p data-end=&quot;1774&quot; data-start=&quot;1578&quot;&gt;This means the cell accepts dates from &lt;strong data-end=&quot;1650&quot; data-start=&quot;1617&quot;&gt;today through the next 7 days&lt;/strong&gt;. Microsoft also documents using formulas such as &lt;code data-end=&quot;1709&quot; data-start=&quot;1700&quot;&gt;TODAY()&lt;/code&gt; in date-validation limits. &lt;span class=&quot;contents&quot; data-content-reference-end=&quot;1797&quot; data-content-reference-start=&quot;1778&quot;&gt;&lt;span class=&quot;&quot; data-state=&quot;closed&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;h3 data-end=&quot;1793&quot; data-section-id=&quot;nemst&quot; data-start=&quot;1776&quot;&gt;Important tip&lt;/h3&gt;
&lt;p data-end=&quot;1969&quot; data-start=&quot;1795&quot;&gt;Excel stores dates internally as sequential numbers, so a value that looks like a date should actually be recognized by Excel as a date.&amp;nbsp;&lt;/p&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/5710729494316094095'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/5710729494316094095'/><link rel='alternate' type='text/html' href='http://rgkumaran.blogspot.com/2026/08/excel-date-data-validation.html' title='EXCEL-DATE - DATA VALIDATION'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author></entry><entry><id>tag:blogger.com,1999:blog-207255288551257803.post-1726363459179938864</id><published>2026-08-05T20:18:12.140-07:00</published><updated>2026-08-05T20:18:12.140-07:00</updated><title type='text'>DATA MINING, DATA WAREHOUSING AND DATA VISUALIZATION -V -SEM DATA SCIENCE</title><content type='html'>&lt;p&gt;&amp;nbsp;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEhZ1285R6g3ckiWxLz16n0ytxOwXbNXF0J-2B01suSVuViXR0A_uGyJPF70Q1YVfFxhdyzm_unST7mK2ZHHJ-viQ7fjK7yw7CzD_7XuePxBvEzTVYGK_9Y0A3ZAoRzHeHUoxEEr4xbGtuA5HWgNKPc9ggFPC7mRH6pd8xxYSEKxy1I64KjDzFLqxqMEQ00&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;446&quot; data-original-width=&quot;329&quot; height=&quot;465&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEhZ1285R6g3ckiWxLz16n0ytxOwXbNXF0J-2B01suSVuViXR0A_uGyJPF70Q1YVfFxhdyzm_unST7mK2ZHHJ-viQ7fjK7yw7CzD_7XuePxBvEzTVYGK_9Y0A3ZAoRzHeHUoxEEr4xbGtuA5HWgNKPc9ggFPC7mRH6pd8xxYSEKxy1I64KjDzFLqxqMEQ00=w295-h465&quot; width=&quot;295&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/1726363459179938864'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/1726363459179938864'/><link rel='alternate' type='text/html' href='http://rgkumaran.blogspot.com/2026/08/data-mining-data-warehousing-and-data.html' title='DATA MINING, DATA WAREHOUSING AND DATA VISUALIZATION -V -SEM DATA SCIENCE'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/a/AVvXsEhZ1285R6g3ckiWxLz16n0ytxOwXbNXF0J-2B01suSVuViXR0A_uGyJPF70Q1YVfFxhdyzm_unST7mK2ZHHJ-viQ7fjK7yw7CzD_7XuePxBvEzTVYGK_9Y0A3ZAoRzHeHUoxEEr4xbGtuA5HWgNKPc9ggFPC7mRH6pd8xxYSEKxy1I64KjDzFLqxqMEQ00=s72-w295-h465-c" height="72" width="72"/></entry><entry><id>tag:blogger.com,1999:blog-207255288551257803.post-7268863485604030017</id><published>2026-08-05T20:06:08.403-07:00</published><updated>2026-08-05T20:06:08.403-07:00</updated><title type='text'>Naan Mudhalvan - 26-27 -ODD V SEM-PROJECT-DATA SCIENCE</title><content type='html'>&lt;p&gt;&lt;a href=&quot;Please find the self-paced course links below for your reference  ServiceNow Administrator  Step 1 – ServiceNow Administration Fundamentals (Mandatory) 🔗 https://learning.servicenow.com/lxp/en/pages/learning-course?id=learning_course&amp;amp;course_id=400ce92b47530e10123f3975d36d43f1&amp;amp;child_id=bc49278a47f8b21019dfe23c326d4390&amp;amp;spa=1  Step 2 – Welcome to ServiceNow (Zurich) 🔗 https://learning.servicenow.com/lxp/en/now-platform/welcome-to-servicenow?id=learning_course_prev&amp;amp;course_id=386f3cf847b36a90c00af235126d430c&amp;amp;s=1&amp;amp;ssa=3  Step 3 – Welcome to ServiceNow Micro-Certification (Zurich) 🔗 https://learning.servicenow.com/lxp/en/servicenow-ai-platform/micro-certification-welcome-to-servicenow-zurich?id=learning_course_prev&amp;amp;course_id=93d2c32497b47290e7b47b70f053afc4&amp;amp;s=1&amp;amp;ssa=3&quot; target=&quot;_blank&quot;&gt;Step 1 – ServiceNow Administration Fundamentals (Mandatory)&lt;/a&gt;&amp;nbsp;&lt;/p&gt;&lt;p&gt;&lt;a href=&quot;Please find the self-paced course links below for your reference  ServiceNow Administrator  Step 1 – ServiceNow Administration Fundamentals (Mandatory) 🔗 https://learning.servicenow.com/lxp/en/pages/learning-course?id=learning_course&amp;amp;course_id=400ce92b47530e10123f3975d36d43f1&amp;amp;child_id=bc49278a47f8b21019dfe23c326d4390&amp;amp;spa=1  Step 2 – Welcome to ServiceNow (Zurich) 🔗 https://learning.servicenow.com/lxp/en/now-platform/welcome-to-servicenow?id=learning_course_prev&amp;amp;course_id=386f3cf847b36a90c00af235126d430c&amp;amp;s=1&amp;amp;ssa=3  Step 3 – Welcome to ServiceNow Micro-Certification (Zurich) 🔗 https://learning.servicenow.com/lxp/en/servicenow-ai-platform/micro-certification-welcome-to-servicenow-zurich?id=learning_course_prev&amp;amp;course_id=93d2c32497b47290e7b47b70f053afc4&amp;amp;s=1&amp;amp;ssa=3&quot; target=&quot;_blank&quot;&gt;Step 2 – Welcome to ServiceNow (Zurich)&lt;/a&gt;&lt;/p&gt;&lt;p&gt;&lt;a href=&quot;Please find the self-paced course links below for your reference  ServiceNow Administrator  Step 1 – ServiceNow Administration Fundamentals (Mandatory) 🔗 https://learning.servicenow.com/lxp/en/pages/learning-course?id=learning_course&amp;amp;course_id=400ce92b47530e10123f3975d36d43f1&amp;amp;child_id=bc49278a47f8b21019dfe23c326d4390&amp;amp;spa=1  Step 2 – Welcome to ServiceNow (Zurich) 🔗 https://learning.servicenow.com/lxp/en/now-platform/welcome-to-servicenow?id=learning_course_prev&amp;amp;course_id=386f3cf847b36a90c00af235126d430c&amp;amp;s=1&amp;amp;ssa=3  Step 3 – Welcome to ServiceNow Micro-Certification (Zurich) 🔗 https://learning.servicenow.com/lxp/en/servicenow-ai-platform/micro-certification-welcome-to-servicenow-zurich?id=learning_course_prev&amp;amp;course_id=93d2c32497b47290e7b47b70f053afc4&amp;amp;s=1&amp;amp;ssa=3&quot; target=&quot;_blank&quot;&gt;Step 3 – Welcome to ServiceNow Micro-Certification (Zurich)&lt;/a&gt;&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;&lt;b&gt;&lt;span style=&quot;color: #2b00fe;&quot;&gt;Dear Faculty,&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;&lt;p&gt;Greetings from SmartBridge!!&lt;/p&gt;&lt;p&gt;Please find the Faculty Orientation Session Recording link below.&lt;/p&gt;&lt;p&gt;🎥 Orientation Session Recording: https://youtube.com/live/wZ3Bd8LLv8U?feature=share&lt;/p&gt;&lt;p&gt;&lt;a href=&quot;https://www.youtube.com/live/wZ3Bd8LLv8U&quot; target=&quot;_blank&quot;&gt;FACULTY ORIENTATION&lt;/a&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;If you were unable to attend the live orientation session or missed any part of the discussion, we request you to watch the recording. It provides a complete overview of the program, including:&lt;/p&gt;&lt;p&gt;1. Program execution flow and timelines&lt;/p&gt;&lt;p&gt;2. Faculty roles &amp;amp; responsibilities&lt;/p&gt;&lt;p&gt;3. SkillWallet platform orientation&lt;/p&gt;&lt;p&gt;4. Mandatory tasks and self-paced courses&lt;/p&gt;&lt;p&gt;5. Project milestones and deliverables&lt;/p&gt;&lt;p&gt;Kindly go through the recording at the earliest to ensure you are well prepared for the program execution.&lt;/p&gt;&lt;p&gt;If you have any queries, please post them in this group, and our team will be happy to assist you.&lt;/p&gt;&lt;p&gt;Thank you.&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEjVU3mcqSn9geR7W3_oygnkZOmtxCJcuP8aJ6soVILgMN9Dj89StnEwji7x-ir4KS2BAjRL360fXuPd_TMH9OhJjqd5YVjc7XHVrWtk-VCVlwIVSd1Bz5g2m225Z8OXI6dKR4eZ3tYyTQ9NpJNb5OLHpUNmRA3Rx4TyVcf4I-ZrN2oYhHG6Jp2NROmTJeY&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;514&quot; data-original-width=&quot;661&quot; height=&quot;480&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEjVU3mcqSn9geR7W3_oygnkZOmtxCJcuP8aJ6soVILgMN9Dj89StnEwji7x-ir4KS2BAjRL360fXuPd_TMH9OhJjqd5YVjc7XHVrWtk-VCVlwIVSd1Bz5g2m225Z8OXI6dKR4eZ3tYyTQ9NpJNb5OLHpUNmRA3Rx4TyVcf4I-ZrN2oYhHG6Jp2NROmTJeY&quot; 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width=&quot;640&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;br /&gt;&lt;/div&gt;&lt;br /&gt;&lt;br /&gt;&lt;/div&gt;&lt;br /&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/7268863485604030017'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/7268863485604030017'/><link rel='alternate' type='text/html' href='http://rgkumaran.blogspot.com/2026/08/naan-mudhalvan-26-27-odd-v-sem-project.html' title='Naan Mudhalvan - 26-27 -ODD V SEM-PROJECT-DATA SCIENCE'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/a/AVvXsEjVU3mcqSn9geR7W3_oygnkZOmtxCJcuP8aJ6soVILgMN9Dj89StnEwji7x-ir4KS2BAjRL360fXuPd_TMH9OhJjqd5YVjc7XHVrWtk-VCVlwIVSd1Bz5g2m225Z8OXI6dKR4eZ3tYyTQ9NpJNb5OLHpUNmRA3Rx4TyVcf4I-ZrN2oYhHG6Jp2NROmTJeY=s72-c" height="72" width="72"/></entry><entry><id>tag:blogger.com,1999:blog-207255288551257803.post-148009826515437301</id><published>2026-08-03T08:28:04.073-07:00</published><updated>2026-08-03T08:28:04.073-07:00</updated><title type='text'>NETWORKS</title><content type='html'>&lt;p&gt;&amp;nbsp;&lt;b&gt;&lt;span style=&quot;color: #2b00fe;&quot;&gt;A network is &lt;mark class=&quot;HxTRcb&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 500; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-inited=&quot;2&quot; data-sfc-root=&quot;ep&quot; data-ved=&quot;2ahUKEwjDkL742YSWAxXOzzgGHTfxJrYQuJAPegoIAggACAAIBRAH&quot; data-wiz-uids=&quot;fBtylf_o&quot; jsaction=&quot;click:&amp;amp;fBtylf_n|h5M12e;mouseenter:&amp;amp;fBtylf_n|sbHm2b;mouseleave:&amp;amp;fBtylf_n|Tx5Rb;rcuQ6b:&amp;amp;fBtylf_n|npT2md&quot; jscontroller=&quot;DfH0l#VLQhtf&quot; jsuid=&quot;fBtylf_n&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; margin: 0px;&quot;&gt;&lt;!--qkimaf fBtylf_n/HugV6--&gt;&lt;!--cqw1tb fBtylf_n/HugV6--&gt;a group of two or more connected devices, like computers or phones, that share information and tools&lt;!--TgQPHd|||[]--&gt;&lt;/mark&gt;.&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEgTdN8ZAlxmVHJwPHwd5-xttHumIZ6t09_ZlzXZgsXEhb0Z0JmGZ543Uagf78_SAt-nadc18TTDjtUIYXx2h4nJvbdBCWtCebIJh5-8TpEBLscAqvXBR5jlsdaZjO7eZzlqAIwD20eu0cCvqmgjZ9rAPbS4fiV8oMlqfdH0A1El9PFV8hx2pFo_koiHgO4&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;800&quot; data-original-width=&quot;800&quot; height=&quot;400&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEgTdN8ZAlxmVHJwPHwd5-xttHumIZ6t09_ZlzXZgsXEhb0Z0JmGZ543Uagf78_SAt-nadc18TTDjtUIYXx2h4nJvbdBCWtCebIJh5-8TpEBLscAqvXBR5jlsdaZjO7eZzlqAIwD20eu0cCvqmgjZ9rAPbS4fiV8oMlqfdH0A1El9PFV8hx2pFo_koiHgO4=w400-h400&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEhDDO-QEsB5nVSqqSMo4r0YHSTuw9vtpxHRshy4CJsaTbc_uYkJfGg-frGe3Rfoy6LH3Y03jH8EnwwliqXPegLEMcPaFSQfyEcpnJo4-ei1Y5_KXoodbMhnqGcHxvgRCszAbZf2UXAKcXXEq2ykBFT3jO12fvNeEdJ9Krl1CbcYH9beXXPvt2l2q_127o4&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;786&quot; data-original-width=&quot;1200&quot; height=&quot;263&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEhDDO-QEsB5nVSqqSMo4r0YHSTuw9vtpxHRshy4CJsaTbc_uYkJfGg-frGe3Rfoy6LH3Y03jH8EnwwliqXPegLEMcPaFSQfyEcpnJo4-ei1Y5_KXoodbMhnqGcHxvgRCszAbZf2UXAKcXXEq2ykBFT3jO12fvNeEdJ9Krl1CbcYH9beXXPvt2l2q_127o4=w400-h263&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;&lt;/p&gt;&lt;div aria-level=&quot;3&quot; class=&quot;otQkpb&quot; data-animation-nesting=&quot;&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 20px; font-weight: 600; margin: 24px 0px 12px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;a7qCn#ZxCkTb&quot; jsuid=&quot;fBtylf_w&quot; role=&quot;heading&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 20px; font-weight: 600; margin: 24px 0px 12px;&quot;&gt;How Networks Work&lt;!--TgQPHd|||[]--&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;ul class=&quot;KsbFXc U6u95&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 12px 0px 16px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-hveid=&quot;CAIIAAgACAUQDA&quot; data-sfc-root=&quot;ep&quot; data-ved=&quot;2ahUKEwjDkL742YSWAxXOzzgGHTfxJrYQ-7AUegoIAggACAAIBRAM&quot; jsaction=&quot;&quot; jscontroller=&quot;mPWODf#NS0kde&quot; jsuid=&quot;fBtylf_x&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; margin: 12px 0px 16px;&quot;&gt;&lt;div class=&quot;&quot; data-bfc=&quot;&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-hveid=&quot;CAIIAAgACAUQDQ&quot; data-ved=&quot;2ahUKEwjDkL742YSWAxXOzzgGHTfxJrYQi4wTegoIAggACAAIBRAN&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); margin: 0px;&quot;&gt;&lt;li class=&quot;Z1qcYe&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px 0px 12px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-hveid=&quot;CAIIAAgACAUQDg&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;oSLmPe#HokZ0d&quot; jsuid=&quot;fBtylf_y&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); margin: 0px 0px 12px;&quot;&gt;&lt;span class=&quot;iNqyIf&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;KdQfFc#d5Qebf&quot; jsuid=&quot;fBtylf_z&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); margin: 0px;&quot;&gt;&lt;span class=&quot;rQesXe MPyX&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 700; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;tP2kf#s32ZS&quot; jsuid=&quot;fBtylf_10&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); font-weight: 700; margin: 0px;&quot;&gt;Connected parts&lt;!--TgQPHd|||[]--&gt;&lt;/span&gt;: Devices link using wires, cables, or Wi-Fi.&lt;!--TgQPHd|||[]--&gt;&lt;/span&gt;&lt;!--TgQPHd|||[]--&gt;&lt;/li&gt;&lt;/div&gt;&lt;div class=&quot;&quot; data-bfc=&quot;&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-hveid=&quot;CAIIAAgACAUQDw&quot; data-ved=&quot;2ahUKEwjDkL742YSWAxXOzzgGHTfxJrYQi4wTegoIAggACAAIBRAP&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); margin: 0px;&quot;&gt;&lt;li class=&quot;Z1qcYe&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px 0px 12px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-hveid=&quot;CAIIAAgACAUQEA&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;oSLmPe#HokZ0d&quot; jsuid=&quot;fBtylf_11&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); margin: 0px 0px 12px;&quot;&gt;&lt;span class=&quot;iNqyIf&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;KdQfFc#d5Qebf&quot; jsuid=&quot;fBtylf_12&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); margin: 0px;&quot;&gt;&lt;span class=&quot;rQesXe MPyX&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 700; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;tP2kf#s32ZS&quot; jsuid=&quot;fBtylf_13&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); font-weight: 700; margin: 0px;&quot;&gt;Shared items&lt;!--TgQPHd|||[]--&gt;&lt;/span&gt;: Users share files, printers, or internet access.&lt;!--TgQPHd|||[]--&gt;&lt;/span&gt;&lt;!--TgQPHd|||[]--&gt;&lt;/li&gt;&lt;/div&gt;&lt;div class=&quot;&quot; data-bfc=&quot;&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-hveid=&quot;CAIIAAgACAUQEQ&quot; data-ved=&quot;2ahUKEwjDkL742YSWAxXOzzgGHTfxJrYQi4wTegoIAggACAAIBRAR&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); margin: 0px;&quot;&gt;&lt;li class=&quot;Z1qcYe&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px 0px 12px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-hveid=&quot;CAIIAAgACAUQEg&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;oSLmPe#HokZ0d&quot; jsuid=&quot;fBtylf_14&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); margin: 0px 0px 12px;&quot;&gt;&lt;span class=&quot;iNqyIf&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;KdQfFc#d5Qebf&quot; jsuid=&quot;fBtylf_15&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); margin: 0px;&quot;&gt;&lt;span class=&quot;rQesXe MPyX&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 700; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;tP2kf#s32ZS&quot; jsuid=&quot;fBtylf_16&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); font-weight: 700; margin: 0px;&quot;&gt;Communication&lt;!--TgQPHd|||[]--&gt;&lt;/span&gt;: Devices &quot;talk&quot; to each other to send and get data.&lt;/span&gt;&lt;/li&gt;&lt;li class=&quot;Z1qcYe&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px 0px 12px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-hveid=&quot;CAIIAAgACAUQEg&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;oSLmPe#HokZ0d&quot; jsuid=&quot;fBtylf_14&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); margin: 0px 0px 12px;&quot;&gt;&lt;div class=&quot;&quot; data-bfc=&quot;&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-hveid=&quot;CAIIAAgACAUQFw&quot; data-ved=&quot;2ahUKEwjDkL742YSWAxXOzzgGHTfxJrYQi4wTegoIAggACAAIBRAX&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); margin: 0px;&quot;&gt;&lt;div aria-level=&quot;3&quot; class=&quot;otQkpb&quot; data-animation-nesting=&quot;&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 20px; font-weight: 600; margin: 24px 0px 12px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;a7qCn#ZxCkTb&quot; jsuid=&quot;fBtylf_1e&quot; role=&quot;heading&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); font-size: 20px; font-weight: 600; margin: 24px 0px 12px;&quot;&gt;Common Examples&lt;!--TgQPHd|||[]--&gt;&lt;/div&gt;&lt;/div&gt;&lt;ul class=&quot;KsbFXc U6u95&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 12px 0px 16px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-hveid=&quot;CAIIAAgACAUQGA&quot; data-sfc-root=&quot;ep&quot; data-ved=&quot;2ahUKEwjDkL742YSWAxXOzzgGHTfxJrYQ-7AUegoIAggACAAIBRAY&quot; jsaction=&quot;&quot; jscontroller=&quot;mPWODf#NS0kde&quot; jsuid=&quot;fBtylf_1f&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); margin: 12px 0px 16px;&quot;&gt;&lt;div class=&quot;&quot; data-bfc=&quot;&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-hveid=&quot;CAIIAAgACAUQGQ&quot; data-ved=&quot;2ahUKEwjDkL742YSWAxXOzzgGHTfxJrYQi4wTegoIAggACAAIBRAZ&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); margin: 0px;&quot;&gt;&lt;li class=&quot;Z1qcYe&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px 0px 12px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-hveid=&quot;CAIIAAgACAUQGg&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;oSLmPe#HokZ0d&quot; jsuid=&quot;fBtylf_1g&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); margin: 0px 0px 12px;&quot;&gt;&lt;span class=&quot;iNqyIf&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;KdQfFc#d5Qebf&quot; jsuid=&quot;fBtylf_1h&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); margin: 0px;&quot;&gt;&lt;span class=&quot;rQesXe MPyX&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 700; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;tP2kf#s32ZS&quot; jsuid=&quot;fBtylf_1i&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); font-weight: 700; margin: 0px;&quot;&gt;Home Wi-Fi&lt;!--TgQPHd|||[]--&gt;&lt;/span&gt;: Connects your phone, TV, and laptop together.&lt;!--TgQPHd|||[]--&gt;&lt;/span&gt;&lt;!--TgQPHd|||[]--&gt;&lt;/li&gt;&lt;/div&gt;&lt;div class=&quot;&quot; data-bfc=&quot;&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-hveid=&quot;CAIIAAgACAUQGw&quot; data-ved=&quot;2ahUKEwjDkL742YSWAxXOzzgGHTfxJrYQi4wTegoIAggACAAIBRAb&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); margin: 0px;&quot;&gt;&lt;li class=&quot;Z1qcYe&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px 0px 12px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-hveid=&quot;CAIIAAgACAUQHA&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;oSLmPe#HokZ0d&quot; jsuid=&quot;fBtylf_1j&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); margin: 0px 0px 12px;&quot;&gt;&lt;span class=&quot;iNqyIf&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;KdQfFc#d5Qebf&quot; jsuid=&quot;fBtylf_1k&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); margin: 0px;&quot;&gt;&lt;span class=&quot;rQesXe MPyX&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 700; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;tP2kf#s32ZS&quot; jsuid=&quot;fBtylf_1l&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); font-weight: 700; margin: 0px;&quot;&gt;The Internet&lt;!--TgQPHd|||[]--&gt;&lt;/span&gt;: A huge global network linking billions of computers&lt;/span&gt;&lt;/li&gt;&lt;/div&gt;&lt;/ul&gt;&lt;/li&gt;&lt;/div&gt;&lt;/ul&gt;&lt;br /&gt;&lt;/div&gt;&lt;p&gt;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;h2 style=&quot;background-color: white; text-align: start;&quot;&gt;&lt;a id=&quot;AdvantagesofaSchoolNetwork&quot; name=&quot;AdvantagesofaSchoolNetwork&quot; style=&quot;color: #003366;&quot;&gt;Advantages of Installing a School Network&lt;/a&gt;&lt;/h2&gt;&lt;div&gt;&lt;a name=&quot;AdvantagesofaSchoolNetwork&quot;&gt;&lt;ul style=&quot;background-color: white; box-sizing: border-box; color: #465a75; font-family: &amp;quot;Open Sans&amp;quot;, system-ui, -apple-system, &amp;quot;Segoe UI&amp;quot;, Roboto, &amp;quot;Helvetica Neue&amp;quot;, &amp;quot;Noto Sans&amp;quot;, &amp;quot;Liberation Sans&amp;quot;, Arial, sans-serif, &amp;quot;Apple Color Emoji&amp;quot;, &amp;quot;Segoe UI Emoji&amp;quot;, &amp;quot;Segoe UI Symbol&amp;quot;, &amp;quot;Noto Color Emoji&amp;quot;; font-size: 16px; margin-bottom: 1rem; margin-top: 0px; padding-left: 2rem; text-align: start;&quot;&gt;&lt;li style=&quot;box-sizing: border-box;&quot;&gt;Shared use of data&lt;/li&gt;&lt;li style=&quot;box-sizing: border-box;&quot;&gt;Shared use of resources&lt;/li&gt;&lt;li style=&quot;box-sizing: border-box;&quot;&gt;Central control of programs and data&lt;/li&gt;&lt;li style=&quot;box-sizing: border-box;&quot;&gt;Central storage and backup of data&lt;/li&gt;&lt;li style=&quot;box-sizing: border-box;&quot;&gt;Shared pro­cess­ing power and storage capacity&lt;/li&gt;&lt;li style=&quot;box-sizing: border-box;&quot;&gt;Easy man­age­ment of au­tho­riza­tions and re­spon­si­bil­i­ties&lt;/li&gt;&lt;/ul&gt;&lt;/a&gt;&lt;div style=&quot;text-align: start;&quot;&gt;&lt;a name=&quot;AdvantagesofaSchoolNetwork&quot;&gt;&lt;span style=&quot;color: #465a75; font-family: Open Sans, system-ui, -apple-system, Segoe UI, Roboto, Helvetica Neue, Noto Sans, Liberation Sans, Arial, sans-serif, Apple Color Emoji, Segoe UI Emoji, Segoe UI Symbol, Noto Color Emoji;&quot;&gt;&lt;/span&gt;&lt;/a&gt;&lt;span style=&quot;color: #465a75; font-family: Open Sans, system-ui, -apple-system, Segoe UI, Roboto, Helvetica Neue, Noto Sans, Liberation Sans, Arial, sans-serif, Apple Color Emoji, Segoe UI Emoji, Segoe UI Symbol, Noto Color Emoji;&quot;&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a name=&quot;AdvantagesofaSchoolNetwork&quot;&gt;&lt;/a&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEgnlsP0nsv-rO8jT_aS61n3ghZtmaZ9rlJBVntyPyHlXpaAihtFfqSX2UVwkgcKZFgwpue5YixUtNki33cNvLsxYSk0b3h_wR9IvCBBCUhhrkDskOSLS3qvrija_7A2qaUhlJ2-14qoi_PJlbJ3S3jUW3RTwZAj3iMsto7TiZizhnm6ivTXLqPVzBXqjhM&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;1315&quot; data-original-width=&quot;1197&quot; height=&quot;640&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEgnlsP0nsv-rO8jT_aS61n3ghZtmaZ9rlJBVntyPyHlXpaAihtFfqSX2UVwkgcKZFgwpue5YixUtNki33cNvLsxYSk0b3h_wR9IvCBBCUhhrkDskOSLS3qvrija_7A2qaUhlJ2-14qoi_PJlbJ3S3jUW3RTwZAj3iMsto7TiZizhnm6ivTXLqPVzBXqjhM=w581-h640&quot; width=&quot;581&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;text-align: start;&quot;&gt;&lt;span style=&quot;color: #465a75; font-family: Open Sans, system-ui, -apple-system, Segoe UI, Roboto, Helvetica Neue, Noto Sans, Liberation Sans, Arial, sans-serif, Apple Color Emoji, Segoe UI Emoji, Segoe UI Symbol, Noto Color Emoji;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/148009826515437301'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/148009826515437301'/><link rel='alternate' type='text/html' href='http://rgkumaran.blogspot.com/2026/08/networks.html' title='NETWORKS'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/a/AVvXsEgTdN8ZAlxmVHJwPHwd5-xttHumIZ6t09_ZlzXZgsXEhb0Z0JmGZ543Uagf78_SAt-nadc18TTDjtUIYXx2h4nJvbdBCWtCebIJh5-8TpEBLscAqvXBR5jlsdaZjO7eZzlqAIwD20eu0cCvqmgjZ9rAPbS4fiV8oMlqfdH0A1El9PFV8hx2pFo_koiHgO4=s72-w400-h400-c" height="72" width="72"/></entry><entry><id>tag:blogger.com,1999:blog-207255288551257803.post-5830656115541042666</id><published>2026-08-02T09:41:15.435-07:00</published><updated>2026-08-03T08:37:08.335-07:00</updated><title type='text'>AI Dr .RGK </title><content type='html'>&lt;p&gt;&amp;nbsp;1.&amp;nbsp;&lt;a href=&quot;https://freetamilbooks.com/&quot; target=&quot;_blank&quot;&gt;FREE TAMIL BOOKS&lt;/a&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; 2.&amp;nbsp;&lt;a href=&quot;https://tamilbookspdf.com/&quot; target=&quot;_blank&quot;&gt;FREE TAMIL PDF BOOKS &lt;/a&gt; &amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEiY6yFelh0uFx0x_gKCwQ2swkB3-hMSMQv4vm-_3xu2it1cCJIu1y1LKMVRPicM8M__lcTCaIAMF6_uhGzlPGQ8nSH4gzvYdqBmjV5b4C9SPTtRrCQbD_qaQPqMSghEUR6VGe3zTLYqAyctqJl83wUzJceQjgfSzONbc9jXFJ5lO_SJjPP9bOO93xL6esw&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;1450&quot; data-original-width=&quot;1085&quot; height=&quot;640&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEiY6yFelh0uFx0x_gKCwQ2swkB3-hMSMQv4vm-_3xu2it1cCJIu1y1LKMVRPicM8M__lcTCaIAMF6_uhGzlPGQ8nSH4gzvYdqBmjV5b4C9SPTtRrCQbD_qaQPqMSghEUR6VGe3zTLYqAyctqJl83wUzJceQjgfSzONbc9jXFJ5lO_SJjPP9bOO93xL6esw=w480-h640&quot; 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text-align: center;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;br /&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/5830656115541042666'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/5830656115541042666'/><link rel='alternate' type='text/html' href='http://rgkumaran.blogspot.com/2026/08/dr-rgk-ai.html' title='AI Dr .RGK '/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/a/AVvXsEiY6yFelh0uFx0x_gKCwQ2swkB3-hMSMQv4vm-_3xu2it1cCJIu1y1LKMVRPicM8M__lcTCaIAMF6_uhGzlPGQ8nSH4gzvYdqBmjV5b4C9SPTtRrCQbD_qaQPqMSghEUR6VGe3zTLYqAyctqJl83wUzJceQjgfSzONbc9jXFJ5lO_SJjPP9bOO93xL6esw=s72-w480-h640-c" height="72" width="72"/></entry><entry><id>tag:blogger.com,1999:blog-207255288551257803.post-4393440664185993711</id><published>2026-07-29T07:56:53.084-07:00</published><updated>2026-07-29T07:56:53.084-07:00</updated><title type='text'>Static RAM and Dynamic RAM</title><content type='html'>&lt;p&gt;&amp;nbsp;&lt;span style=&quot;font-family: Roboto, sans-serif; font-size: 18px;&quot;&gt;Your computer probably uses both static RAM (SRAM) and dynamic RAM (DRAM) at the same time, but it uses them for different reasons because of the cost difference between the two types. Once you understand how dynamic and static RAM chips work inside your computer, it&#39;s easy to see why there&#39;s a cost difference between the two and how the two types of &lt;/span&gt;&lt;a href=&quot;https://computer.howstuffworks.com/ram.htm&quot; style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; color: #168381; font-family: Roboto, sans-serif; font-size: 18px; text-decoration: inherit; transition-duration: 0.25s; transition-property: color, background-color, border-color, text-decoration-color, fill, stroke; transition-timing-function: cubic-bezier(0.4, 0, 0.2, 1);&quot;&gt;RAM&lt;/a&gt;&lt;span style=&quot;font-family: Roboto, sans-serif; font-size: 18px;&quot;&gt; got their names.&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;a class=&quot;ext-link&quot; href=&quot;https://www.sciencedirect.com/topics/computer-science/dynamic-random-access-memory&quot; style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; color: #2b2b5c; font-family: Roboto, sans-serif; font-size: 18px; text-decoration: inherit; transition-duration: 0.25s; transition-property: color, background-color, border-color, text-decoration-color, fill, stroke; transition-timing-function: cubic-bezier(0.4, 0, 0.2, 1);&quot;&gt;Dynamic RAM&lt;/a&gt;&lt;span style=&quot;font-family: Roboto, sans-serif; font-size: 18px;&quot;&gt; is the most common type of memory in use today. Inside a DRAM chip, each memory cell holds one &lt;/span&gt;&lt;a href=&quot;https://computer.howstuffworks.com/bytes.htm&quot; style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; color: #168381; font-family: Roboto, sans-serif; font-size: 18px; text-decoration: inherit; transition-duration: 0.25s; transition-property: color, background-color, border-color, text-decoration-color, fill, stroke; transition-timing-function: cubic-bezier(0.4, 0, 0.2, 1);&quot;&gt;bit&lt;/a&gt;&lt;span style=&quot;font-family: Roboto, sans-serif; font-size: 18px;&quot;&gt; of information and is made up of two parts: a &lt;/span&gt;&lt;a href=&quot;https://electronics.howstuffworks.com/transistor.htm&quot; style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; color: #168381; font-family: Roboto, sans-serif; font-size: 18px; text-decoration: inherit; transition-duration: 0.25s; transition-property: color, background-color, border-color, text-decoration-color, fill, stroke; transition-timing-function: cubic-bezier(0.4, 0, 0.2, 1);&quot;&gt;transistor&lt;/a&gt;&lt;span style=&quot;font-family: Roboto, sans-serif; font-size: 18px;&quot;&gt; and a &lt;/span&gt;&lt;a href=&quot;https://electronics.howstuffworks.com/capacitor.htm&quot; style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; color: #168381; font-family: Roboto, sans-serif; font-size: 18px; text-decoration: inherit; transition-duration: 0.25s; transition-property: color, background-color, border-color, text-decoration-color, fill, stroke; transition-timing-function: cubic-bezier(0.4, 0, 0.2, 1);&quot;&gt;capacitor&lt;/a&gt;&lt;span style=&quot;font-family: Roboto, sans-serif; font-size: 18px;&quot;&gt;. These are, of course, extremely small transistors and capacitors so that millions of them can fit on a single memory chip&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Roboto, sans-serif; font-size: 18px;&quot;&gt;The capacitor holds the bit of information — a 0 or a 1 (see &lt;/span&gt;&lt;a href=&quot;https://computer.howstuffworks.com/bytes.htm&quot; style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; color: #168381; font-family: Roboto, sans-serif; font-size: 18px; text-decoration: inherit; transition-duration: 0.25s; transition-property: color, background-color, border-color, text-decoration-color, fill, stroke; transition-timing-function: cubic-bezier(0.4, 0, 0.2, 1);&quot;&gt;How Bits and Bytes Work&lt;/a&gt;&lt;span style=&quot;font-family: Roboto, sans-serif; font-size: 18px;&quot;&gt; for information on bits). The transistor acts as a switch that lets the control circuitry on the memory chip read the capacitor or change its state.&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Roboto, sans-serif; font-size: 18px;&quot;&gt;&lt;/span&gt;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEh4iyIke2R5ECSgCRnFM2cS4poBoIV9XcRZ0LC1Ks0bJdSiZA0eZZh6Ghbv-zr71shvgEcFKgdIjIcQBGOtYyPHXrrtqDWA68JA4IWKKQ3tPq2SOR9-otqV1m4hONwEIVZGI6Oto5-D7y1nVCZPNql1NajTfkf_NRXV-wLkbjsGoa0CuVgo6YInUQEbASk&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;290&quot; data-original-width=&quot;290&quot; height=&quot;240&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEh4iyIke2R5ECSgCRnFM2cS4poBoIV9XcRZ0LC1Ks0bJdSiZA0eZZh6Ghbv-zr71shvgEcFKgdIjIcQBGOtYyPHXrrtqDWA68JA4IWKKQ3tPq2SOR9-otqV1m4hONwEIVZGI6Oto5-D7y1nVCZPNql1NajTfkf_NRXV-wLkbjsGoa0CuVgo6YInUQEbASk&quot; width=&quot;240&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Roboto, sans-serif; font-size: 18px;&quot;&gt;&lt;/span&gt;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEhzkNlvUscrc67ak5zyC8pe7yc8yzZmNTM9Wx5df_ohKeg_nwH0psMJk4HnnBmWUN8L46LvGbpc8ieDrr1AM8XAe1PvHtFi6z5uz93GFKLkAkwHSD1-HehBJ93KV9TYJqni-DLfLTvQnh-TjSjdV9mH56rU2VnubFXkrYD1LhL9KH3dnUBnTJD40jtL5p0&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;466&quot; data-original-width=&quot;828&quot; height=&quot;180&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEhzkNlvUscrc67ak5zyC8pe7yc8yzZmNTM9Wx5df_ohKeg_nwH0psMJk4HnnBmWUN8L46LvGbpc8ieDrr1AM8XAe1PvHtFi6z5uz93GFKLkAkwHSD1-HehBJ93KV9TYJqni-DLfLTvQnh-TjSjdV9mH56rU2VnubFXkrYD1LhL9KH3dnUBnTJD40jtL5p0&quot; width=&quot;320&quot; 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data-logged=&quot;true&quot; data-page-nbr=&quot;3&quot; data-page-url=&quot;bytes3.htm&quot; style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-family: Roboto, sans-serif; font-size: 1.5rem; margin: 0px 0px 1.5rem;&quot;&gt;&lt;span aria-controls=&quot;page3&quot; aria-expanded=&quot;true&quot; class=&quot;flex cursor-pointer &quot; click=&quot;pageVisible = !pageVisible&quot; role=&quot;button&quot; style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; cursor: pointer; display: flex;&quot;&gt;&lt;span style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box;&quot;&gt;Byte Prefixes and Binary Math&lt;/span&gt;&lt;/span&gt;&lt;/h2&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEg8v7YI2_b0-pxHsF5A2Hynt8m29aMLFPmYJdfOFj9KHiWZ3SY7ukoMe6wSLBfaMmXPg94WpGK0rxAjekUfdmCkH60eFmTCOCJwzjKivvmDlvkUEGsLSaUScVpseNi0ppOfZwUHnwKuLdZPeyb4_XGtZ5ufINKPK0UMS9xx3Wh93U9ud4d3u2JK89ZdHtw&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;div class=&quot;page-body se&quot; data-slide=&quot;3&quot; data-track-gtm=&quot;Content&quot; id=&quot;page3&quot; style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; color: black; font-family: Roboto, sans-serif; font-size: 16px; text-align: start;&quot; x-show.transition=&quot;pageVisible === true&quot;&gt;&lt;p style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 1.125rem; line-height: 1.75; margin: 0px 0px 1.5rem;&quot;&gt;When you start talking about lots of bytes, you get into &lt;span style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-weight: bolder;&quot;&gt;prefixes&lt;/span&gt; like kilo, mega and giga, as in kilobyte, megabyte and gigabyte (also shortened to K, M and G, as in Kbytes, Mbytes and Gbytes or KB, MB and GB). The following table shows the &lt;span style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-weight: bolder;&quot;&gt;binary&lt;/span&gt; multipliers:&lt;/p&gt;&lt;h3 class=&quot;font-bold text-xl mb-2&quot; style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 1.25rem; margin: 0px 0px 0.5rem;&quot;&gt;Kilo (K)&lt;/h3&gt;&lt;p style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 1.125rem; line-height: 1.75; margin: 0px 0px 1.5rem;&quot;&gt;2^10 = 1,024&lt;/p&gt;&lt;h3 class=&quot;font-bold text-xl mb-2&quot; style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 1.25rem; margin: 0px 0px 0.5rem;&quot;&gt;Mega (M)&lt;/h3&gt;&lt;p style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 1.125rem; line-height: 1.75; margin: 0px 0px 1.5rem;&quot;&gt;2^20 = 1,048,576&lt;/p&gt;&lt;h3 class=&quot;font-bold text-xl mb-2&quot; style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 1.25rem; margin: 0px 0px 0.5rem;&quot;&gt;Giga (G)&lt;/h3&gt;&lt;p style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 1.125rem; line-height: 1.75; margin: 0px 0px 1.5rem;&quot;&gt;2^30 = 1,073,741,824&lt;/p&gt;&lt;h3 class=&quot;font-bold text-xl mb-2&quot; style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 1.25rem; margin: 0px 0px 0.5rem;&quot;&gt;Tera (T)&lt;/h3&gt;&lt;p style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 1.125rem; line-height: 1.75; margin: 0px 0px 1.5rem;&quot;&gt;2^40 = 1,099,511,627,776&lt;/p&gt;&lt;h3 class=&quot;font-bold text-xl mb-2&quot; style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 1.25rem; margin: 0px 0px 0.5rem;&quot;&gt;Peta (P)&lt;/h3&gt;&lt;p style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 1.125rem; line-height: 1.75; margin: 0px 0px 1.5rem;&quot;&gt;2^50 = 1,125,899,906,842,624&lt;/p&gt;&lt;h3 class=&quot;font-bold text-xl mb-2&quot; style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 1.25rem; margin: 0px 0px 0.5rem;&quot;&gt;Exa (E)&lt;/h3&gt;&lt;p style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 1.125rem; line-height: 1.75; margin: 0px 0px 1.5rem;&quot;&gt;2^60 = 1,152,921,504,606,846,976&lt;/p&gt;&lt;h3 class=&quot;font-bold text-xl mb-2&quot; style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 1.25rem; margin: 0px 0px 0.5rem;&quot;&gt;Zetta (Z)&lt;/h3&gt;&lt;p style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 1.125rem; line-height: 1.75; margin: 0px 0px 1.5rem;&quot;&gt;2^70 = 1,180,591,620,717,411,303,424&lt;/p&gt;&lt;h3 class=&quot;font-bold text-xl mb-2&quot; style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 1.25rem; margin: 0px 0px 0.5rem;&quot;&gt;Yotta (Y)&lt;/h3&gt;&lt;p style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 1.125rem; line-height: 1.75; margin: 0px 0px 1.5rem;&quot;&gt;2^80 = 1,208,925,819,614,629,174,706,176&lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;br /&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;&lt;span style=&quot;font-family: Roboto, sans-serif; font-size: 18px;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Roboto, sans-serif; font-size: 18px;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/p&gt;&lt;br /&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/4393440664185993711'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/4393440664185993711'/><link rel='alternate' type='text/html' href='http://rgkumaran.blogspot.com/2026/07/static-ram-and-dynamic-ram.html' title='Static RAM and Dynamic RAM'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/a/AVvXsEh4iyIke2R5ECSgCRnFM2cS4poBoIV9XcRZ0LC1Ks0bJdSiZA0eZZh6Ghbv-zr71shvgEcFKgdIjIcQBGOtYyPHXrrtqDWA68JA4IWKKQ3tPq2SOR9-otqV1m4hONwEIVZGI6Oto5-D7y1nVCZPNql1NajTfkf_NRXV-wLkbjsGoa0CuVgo6YInUQEbASk=s72-c" height="72" width="72"/></entry><entry><id>tag:blogger.com,1999:blog-207255288551257803.post-5662656926919063142</id><published>2026-07-29T07:36:23.120-07:00</published><updated>2026-07-29T07:36:23.121-07:00</updated><title type='text'>Modem </title><content type='html'>&lt;p&gt;&amp;nbsp;&lt;/p&gt;&lt;h2 class=&quot;text-2xl mb-8&quot; style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-family: Roboto, sans-serif; font-size: 1.5rem; font-weight: inherit; margin: 0px 0px 2rem; text-align: center;&quot;&gt;The Origin of Modems&lt;/h2&gt;&lt;div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEih-shWvg2CFHYyLYuAPz6UlIyEbg6lZGpZpfHUKaxfwAT2fLQQamYnXkt5dqWKGGoc7KPbOFI1EsTd1Qbf-kQxL5llpv7M-RLOm3IZd2nTOGHTly8HQjvyBQ09Qtr8ouepTagkXm8aoJud0mkJ0KC7pQM2pfthHZaxifQFHBZX7wZYQsJGcILQij2ImM4&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;82&quot; data-original-width=&quot;290&quot; height=&quot;90&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEih-shWvg2CFHYyLYuAPz6UlIyEbg6lZGpZpfHUKaxfwAT2fLQQamYnXkt5dqWKGGoc7KPbOFI1EsTd1Qbf-kQxL5llpv7M-RLOm3IZd2nTOGHTly8HQjvyBQ09Qtr8ouepTagkXm8aoJud0mkJ0KC7pQM2pfthHZaxifQFHBZX7wZYQsJGcILQij2ImM4&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;&lt;span style=&quot;font-size: 18px;&quot;&gt;The word &quot;modem&quot; is a contraction of the words &lt;/span&gt;&lt;span style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 18px; font-weight: bolder;&quot;&gt;modulator-demodulator&lt;/span&gt;&lt;span style=&quot;font-size: 18px;&quot;&gt;. A modem is typically used to send &lt;/span&gt;&lt;a href=&quot;https://computer.howstuffworks.com/bytes.htm&quot; style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 18px; text-decoration: inherit; transition-duration: 0.25s; transition-property: color, background-color, border-color, text-decoration-color, fill, stroke; transition-timing-function: cubic-bezier(0.4, 0, 0.2, 1);&quot;&gt;digital data&lt;/a&gt;&lt;span style=&quot;font-size: 18px;&quot;&gt; over a &lt;/span&gt;&lt;a href=&quot;https://www.howstuffworks.com/telephone.htm&quot; style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 18px; text-decoration: inherit; transition-duration: 0.25s; transition-property: color, background-color, border-color, text-decoration-color, fill, stroke; transition-timing-function: cubic-bezier(0.4, 0, 0.2, 1);&quot;&gt;phone line&lt;/a&gt;&lt;span style=&quot;font-size: 18px;&quot;&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;span style=&quot;font-size: 18px;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;&lt;span style=&quot;font-size: 18px;&quot;&gt;The sending modem &lt;/span&gt;&lt;span style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 18px; font-weight: bolder;&quot;&gt;modulates&lt;/span&gt;&lt;span style=&quot;font-size: 18px;&quot;&gt; the data into a signal that is compatible with the phone line, and the receiving modem &lt;/span&gt;&lt;span style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 18px; font-weight: bolder;&quot;&gt;demodulates&lt;/span&gt;&lt;span style=&quot;font-size: 18px;&quot;&gt; the signal back into digital data. &lt;/span&gt;&lt;span style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 18px; font-weight: bolder;&quot;&gt;Wireless modems&lt;/span&gt;&lt;span style=&quot;font-size: 18px;&quot;&gt; convert digital data into &lt;/span&gt;&lt;a href=&quot;https://electronics.howstuffworks.com/radio.htm&quot; style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 18px; text-decoration: inherit; transition-duration: 0.25s; transition-property: color, background-color, border-color, text-decoration-color, fill, stroke; transition-timing-function: cubic-bezier(0.4, 0, 0.2, 1);&quot;&gt;radio signals&lt;/a&gt;&lt;span style=&quot;font-size: 18px;&quot;&gt; and back.&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;span style=&quot;font-size: 18px;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;span style=&quot;font-size: 18px;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;&lt;span style=&quot;font-size: 18px;&quot;&gt;In a configuration like this, a &lt;/span&gt;&lt;span style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 18px; font-weight: bolder;&quot;&gt;dumb terminal&lt;/span&gt;&lt;span style=&quot;font-size: 18px;&quot;&gt; at an off-site office or store could &quot;dial in&quot; to a large, central computer. The 1960s were the age of &lt;/span&gt;&lt;span style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 18px; font-weight: bolder;&quot;&gt;time-shared&lt;/span&gt;&lt;span style=&quot;font-size: 18px;&quot;&gt; computers, so a business would often buy computer time from a time-share facility and connect to it via a 300-bit-per-second (bps) modem.&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;span style=&quot;font-size: 18px;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;ul style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 16px; list-style: inside disc; margin: 0px 0px 1.5rem; padding-inline-start: 30px; padding: 0px;&quot;&gt;&lt;li style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 1.125rem; padding-bottom: 0.5rem;&quot;&gt;&lt;span style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;300 bps - 1960s through 1983 or so&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;&lt;li style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 1.125rem; padding-bottom: 0.5rem;&quot;&gt;&lt;span style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;1200 bps - Gained popularity in 1984 and 1985&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;&lt;li style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 1.125rem; padding-bottom: 0.5rem;&quot;&gt;&lt;span style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;2400 bps&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;&lt;li style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 1.125rem; padding-bottom: 0.5rem;&quot;&gt;&lt;span style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;9600 bps - First appeared in late 1990 and early 1991&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;&lt;li style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 1.125rem; padding-bottom: 0.5rem;&quot;&gt;&lt;span style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;19.2 kilobits per second (Kbps)&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;&lt;li style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 1.125rem; padding-bottom: 0.5rem;&quot;&gt;&lt;span style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;28.8 Kbps&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;&lt;li style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 1.125rem; padding-bottom: 0.5rem;&quot;&gt;&lt;span style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;33.6 Kbps&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;&lt;li style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 1.125rem; padding-bottom: 0.5rem;&quot;&gt;&lt;span style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;56 Kbps - Became the standard in 1998&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;&lt;li style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box; font-size: 1.125rem; padding-bottom: 0.5rem;&quot;&gt;&lt;span style=&quot;--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-ring-color: rgba(59,130,246,0.5); --tw-ring-offset-color: #fff; --tw-ring-offset-shadow: 0 0 transparent; --tw-ring-offset-width: 0px; --tw-ring-shadow: 0 0 transparent; --tw-rotate: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-shadow-colored: 0 0 transparent; --tw-shadow: 0 0 transparent; --tw-skew-x: 0; --tw-skew-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; border: 0px solid; box-sizing: border-box;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;ADSL, with theoretical maximum of up to 8 megabits per second (Mbps) - Gained popularity in 1999&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;&lt;/ul&gt;&lt;div&gt;&lt;span style=&quot;font-size: 18px;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;h1 style=&quot;-webkit-tap-highlight-color: transparent; background-color: white; box-sizing: border-box; color: #273239; font-size: 28px; line-height: 35px !important; margin-bottom: 0px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; text-rendering: geometricprecision;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;What is Modem?&lt;/span&gt;&lt;/h1&gt;&lt;/div&gt;&lt;div&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;span style=&quot;background-color: white; color: #273239; font-size: 18px; letter-spacing: 0.162px; text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;A modem and router are two of the most frequent components in a home network configuration. A router establishes a local area network (LAN), whereas a modem connects to an internet service provider (ISP). For a home network to work, both devices are necessary.&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;span style=&quot;background-color: white; color: #273239; font-size: 18px; letter-spacing: 0.162px; text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;&lt;a href=&quot;https://www.geeksforgeeks.org/techtips/how-to-install-a-modem/&quot; rel=&quot;noopener&quot; style=&quot;-webkit-box-align: center; -webkit-tap-highlight-color: rgba(0, 0, 0, 0); align-items: center; background-color: white; border: 0px; box-sizing: border-box; color: #357960; cursor: pointer; display: inline; font-size: 18px; letter-spacing: 0.131625px; line-height: 1.2; margin: 0px; padding: 0px; text-align: justify; text-rendering: geometricprecision; vertical-align: baseline; word-break: break-word;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;Modem&lt;/span&gt;&lt;/a&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; background-color: white; box-sizing: border-box; color: #273239; font-size: 18px; letter-spacing: 0.162px !important; line-height: 1.6; text-align: justify; text-rendering: geometricprecision;&quot;&gt; stands for Modulator/Demodulator. The modem is defined as a &lt;/span&gt;&lt;a href=&quot;https://www.geeksforgeeks.org/computer-networks/network-devices-hub-repeater-bridge-switch-router-gateways/&quot; rel=&quot;noopener&quot; style=&quot;-webkit-box-align: center; -webkit-tap-highlight-color: rgba(0, 0, 0, 0); align-items: center; background-color: white; border: 0px; box-sizing: border-box; color: #357960; cursor: pointer; display: inline; font-size: 18px; letter-spacing: 0.131625px; line-height: 1.2; margin: 0px; padding: 0px; text-align: justify; text-rendering: geometricprecision; vertical-align: baseline; word-break: break-word;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;networking device&lt;/span&gt;&lt;/a&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; background-color: white; box-sizing: border-box; color: #273239; font-size: 18px; letter-spacing: 0.162px !important; line-height: 1.6; text-align: justify; text-rendering: geometricprecision;&quot;&gt; that is used to connect devices connected in the network to the&lt;/span&gt;&lt;a href=&quot;https://www.geeksforgeeks.org/computer-science-fundamentals/internet-and-its-services/&quot; rel=&quot;noopener&quot; style=&quot;-webkit-box-align: center; -webkit-tap-highlight-color: rgba(0, 0, 0, 0); align-items: center; background-color: white; border: 0px; box-sizing: border-box; color: #357960; cursor: pointer; display: inline; font-size: 18px; letter-spacing: 0.131625px; line-height: 1.2; margin: 0px; padding: 0px; text-align: justify; text-rendering: geometricprecision; vertical-align: baseline; word-break: break-word;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt; internet&lt;/span&gt;&lt;/a&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; background-color: white; box-sizing: border-box; color: #273239; font-size: 18px; letter-spacing: 0.162px !important; line-height: 1.6; text-align: justify; text-rendering: geometricprecision;&quot;&gt;. The main function of a modem is to convert the &lt;/span&gt;&lt;a href=&quot;https://www.geeksforgeeks.org/digital-logic/analog-signal/&quot; rel=&quot;noopener&quot; style=&quot;-webkit-box-align: center; -webkit-tap-highlight-color: rgba(0, 0, 0, 0); align-items: center; background-color: white; border: 0px; box-sizing: border-box; color: #357960; cursor: pointer; display: inline; font-size: 18px; letter-spacing: 0.131625px; line-height: 1.2; margin: 0px; padding: 0px; text-align: justify; text-rendering: geometricprecision; vertical-align: baseline; word-break: break-word;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;analog signals&lt;/span&gt;&lt;/a&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; background-color: white; box-sizing: border-box; color: #273239; font-size: 18px; letter-spacing: 0.162px !important; line-height: 1.6; text-align: justify; text-rendering: geometricprecision;&quot;&gt; that come from telephone wire into a digital form. In digital form, these converted signals are stored in the form of 0s and 1s. The modem can perform both the task of &lt;/span&gt;&lt;a href=&quot;https://www.geeksforgeeks.org/computer-networks/what-is-modulation/&quot; rel=&quot;noopener&quot; style=&quot;-webkit-box-align: center; -webkit-tap-highlight-color: rgba(0, 0, 0, 0); align-items: center; background-color: white; border: 0px; box-sizing: border-box; color: #357960; cursor: pointer; display: inline; font-size: 18px; letter-spacing: 0.131625px; line-height: 1.2; margin: 0px; padding: 0px; text-align: justify; text-rendering: geometricprecision; vertical-align: baseline; word-break: break-word;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;modulation&lt;/span&gt;&lt;/a&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; background-color: white; box-sizing: border-box; color: #273239; font-size: 18px; letter-spacing: 0.162px !important; line-height: 1.6; text-align: justify; text-rendering: geometricprecision;&quot;&gt; and demodulation simultaneously.&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; background-color: white; box-sizing: border-box; color: #273239; font-size: 18px; letter-spacing: 0.162px !important; line-height: 1.6; text-align: justify; text-rendering: geometricprecision;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; background-color: white; box-sizing: border-box; color: #273239; font-size: 18px; letter-spacing: 0.162px !important; line-height: 1.6; text-align: justify; text-rendering: geometricprecision;&quot;&gt;&lt;h2 style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; clear: both; font-size: 24px; letter-spacing: 0px !important; line-height: 28px; margin: 0px; padding: 0px; text-align: left; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;Working of Modem&lt;/span&gt;&lt;/span&gt;&lt;/h2&gt;&lt;p dir=&quot;ltr&quot; style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px 0px 10px; padding: 0px; text-align: left; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;The two main components of a modem are modulation and demodulation. Where the modem can perform both tasks simultaneously. The step-by-step working of the modem is given below:&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;p dir=&quot;ltr&quot; style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px 0px 10px; padding: 0px; text-align: left; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;&lt;img alt=&quot;Working of Modem&quot; height=&quot;246&quot; src=&quot;https://media.geeksforgeeks.org/wp-content/uploads/20230826113414/Modembak.png&quot; srcset=&quot;https://media.geeksforgeeks.org/wp-content/uploads/20230826113414/Modembak.png 768w,https://media.geeksforgeeks.org/wp-content/uploads/20230826113414/Modembak-100.png 100w,https://media.geeksforgeeks.org/wp-content/uploads/20230826113414/Modembak-200.png 200w,https://media.geeksforgeeks.org/wp-content/uploads/20230826113414/Modembak-300.png 300w,https://media.geeksforgeeks.org/wp-content/uploads/20230826113414/Modembak-660.png 660w&quot; style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; cursor: zoom-in; display: block; float: unset !important; height: 300px; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px auto 15px; max-height: 300px; max-width: 100%; object-fit: contain; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline; width: auto;&quot; title=&quot;Click to enlarge&quot; width=&quot;768&quot; /&gt;&lt;/p&gt;&lt;p dir=&quot;ltr&quot; style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px 0px 10px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; font-weight: 600; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;&lt;strong style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;Step 1: Data Generation:&lt;/strong&gt;&lt;/span&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt; When data needs to be transmitted it is first generated. Therefore computer system generated the data which is in digital form of 0s and 1s.&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;p dir=&quot;ltr&quot; style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px 0px 10px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; font-weight: 600; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;&lt;strong style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;Step 2: Modulation: &lt;/strong&gt;&lt;/span&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;Modulation is defined as a process of converting digital data signals of the computer into analog data signals so that these signals can travel on the internet. The digital data is encoded onto a carrier wave.&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;p dir=&quot;ltr&quot; style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px 0px 10px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; font-weight: 600; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;&lt;strong style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;Step 3: Transmission:&lt;/strong&gt;&lt;/span&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt; The resultant of modulation that is modulated data is transmitted over the communication line to the modem that is receiving it.&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;p dir=&quot;ltr&quot; style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px 0px 10px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; font-weight: 600; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;&lt;strong style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;Step 4: Demodulation: &lt;/strong&gt;&lt;/span&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;Demodulation is defined as a process in which analog data signals from the internet are converted into digital data signals so they can be understood by computer systems. In the process of demodulation the digital data from the carrier wave is decoded.&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;p dir=&quot;ltr&quot; style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px 0px 10px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; font-weight: 600; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;&lt;strong style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;Step 5: Decoding:&lt;/strong&gt;&lt;/span&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt; The resultant of demodulation that is demodulated data is being sent to the computer systems for their further use.&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;h2 style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; clear: both; font-size: 24px; letter-spacing: 0px !important; line-height: 28px; margin: 0px; padding: 0px; text-align: left; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;Types of Modem&lt;/span&gt;&lt;/span&gt;&lt;/h2&gt;&lt;p dir=&quot;ltr&quot; style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px 0px 10px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;There are different types of modems available. Each modem has different features and provides with different benefits. Below are the different types of modems:&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;h3 style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; clear: both; font-size: 20px; letter-spacing: 0px !important; line-height: 28px; margin: 24px 0px; padding: 0px; text-align: left; text-rendering: geometricprecision; vertical-align: baseline; word-break: break-word;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;1. Optical Modem&amp;nbsp;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEh-pFLUe_tUH0hK3KRh0fVhQnXBGFKMICi8zhLQ_Wc8W2AySSaMi4pNJyRwpkSk2IJXMLgXW03ftxTykxbHD7u05FkX-j7KzIO70P2xFG5bswJ4ly7T4GDA7dKJgEL8VWRJzuJweHf_9e6MVkyul7hngA0lsRNsQtPRM1AxHBXgC0im2YynixmLfiOWWS8&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;147&quot; data-original-width=&quot;264&quot; height=&quot;178&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEh-pFLUe_tUH0hK3KRh0fVhQnXBGFKMICi8zhLQ_Wc8W2AySSaMi4pNJyRwpkSk2IJXMLgXW03ftxTykxbHD7u05FkX-j7KzIO70P2xFG5bswJ4ly7T4GDA7dKJgEL8VWRJzuJweHf_9e6MVkyul7hngA0lsRNsQtPRM1AxHBXgC0im2YynixmLfiOWWS8&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;An optical modem, commonly called an &lt;span class=&quot;rQesXe MPyX&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 700; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;tP2kf#s32ZS&quot; jsuid=&quot;ZAfeIe_10&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); font-size: 16px; margin: 0px;&quot;&gt;ONT&lt;!--TgQPHd|||[]--&gt;&lt;/span&gt; (Optical Network Terminal) or &lt;span class=&quot;rQesXe MPyX&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 700; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;tP2kf#s32ZS&quot; jsuid=&quot;ZAfeIe_11&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); font-size: 16px; margin: 0px;&quot;&gt;ONU&lt;!--TgQPHd|||[]--&gt;&lt;/span&gt; (Optical Network Unit), is &lt;mark class=&quot;HxTRcb&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 500; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-inited=&quot;2&quot; data-sfc-root=&quot;ep&quot; data-ved=&quot;2ahUKEwjytMm0i_iVAxW9xzgGHUp8FZsQuJAPegoIAggACAAICRAO&quot; data-wiz-uids=&quot;ZAfeIe_13&quot; jsaction=&quot;click:&amp;amp;ZAfeIe_12|h5M12e;mouseenter:&amp;amp;ZAfeIe_12|sbHm2b;mouseleave:&amp;amp;ZAfeIe_12|Tx5Rb;rcuQ6b:&amp;amp;ZAfeIe_12|npT2md&quot; jscontroller=&quot;DfH0l#VLQhtf&quot; jsuid=&quot;ZAfeIe_12&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); font-size: 16px; font-weight: 500; margin: 0px;&quot;&gt;&lt;!--qkimaf ZAfeIe_12/HugV6--&gt;&lt;!--cqw1tb ZAfeIe_12/HugV6--&gt;a device that changes light signals from a fiber-optic cable into digital electrical signals for your router&lt;!--TgQPHd|||[]--&gt;&lt;/mark&gt;.&lt;/div&gt;&lt;/span&gt;&lt;/span&gt;&lt;/h3&gt;&lt;p dir=&quot;ltr&quot; style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px 0px 10px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;In modem, different type of media is used to transfer the signals. Optical Modem is the type of modem that makes use of optical cables instead of using another metallic type of media. The digital data is converted into the pulse of light that is transmitted on the &lt;/span&gt;&lt;a href=&quot;https://www.geeksforgeeks.org/computer-networks/types-of-joints-in-optical-fiber/&quot; rel=&quot;noopener&quot; style=&quot;-webkit-box-align: center; -webkit-tap-highlight-color: rgba(0, 0, 0, 0); align-items: center; border: 0px; box-sizing: border-box; color: #357960; cursor: pointer; display: inline; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline; word-break: break-word;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;optical fiber &lt;/span&gt;&lt;/a&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;used in the optical Modem.&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;h3 style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; clear: both; font-size: 20px; letter-spacing: 0px !important; line-height: 28px; margin: 24px 0px; padding: 0px; text-align: left; text-rendering: geometricprecision; vertical-align: baseline; word-break: break-word;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;2. Digital Modem&lt;/span&gt;&lt;/span&gt;&lt;/h3&gt;&lt;p dir=&quot;ltr&quot; style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px 0px 10px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEg5dnelcdL9VzcaVBy7FhWhglL4co_flyBVvciyDX4A0_b5Hvzld_RcmM-wnKDiirKb2UwGFf3185oYxnV_aAginByYPoUEZyztJhBz_GDIFpIECu6gTRishHQp_eTZB4IziKc42wcm4eplL2vxWWIa1xuU2rt88md_6Es-aSsOltoCzVU9ieWVrDwkZ0M&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;520&quot; data-original-width=&quot;589&quot; height=&quot;240&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEg5dnelcdL9VzcaVBy7FhWhglL4co_flyBVvciyDX4A0_b5Hvzld_RcmM-wnKDiirKb2UwGFf3185oYxnV_aAginByYPoUEZyztJhBz_GDIFpIECu6gTRishHQp_eTZB4IziKc42wcm4eplL2vxWWIa1xuU2rt88md_6Es-aSsOltoCzVU9ieWVrDwkZ0M&quot; width=&quot;272&quot; /&gt;&lt;/a&gt;&lt;/span&gt;&lt;/div&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;&lt;br /&gt;&lt;span data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-subtree=&quot;aimfl,mfl&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); font-size: 16px; margin: 0px;&quot;&gt;A modem is &lt;/span&gt;&lt;mark class=&quot;HxTRcb&quot; data-complete=&quot;true&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 500; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-inited=&quot;2&quot; data-sfc-root=&quot;ep&quot; data-ved=&quot;2ahUKEwiO1-iNjPiVAxVTDy4FHWniF5oQuJAPegoIAggACAAICBAB&quot; data-wiz-uids=&quot;omRYEc_65&quot; jsaction=&quot;click:&amp;amp;omRYEc_64|h5M12e;mouseenter:&amp;amp;omRYEc_64|sbHm2b;mouseleave:&amp;amp;omRYEc_64|Tx5Rb;rcuQ6b:&amp;amp;omRYEc_64|npT2md&quot; jscontroller=&quot;DfH0l#VLQhtf&quot; jsuid=&quot;omRYEc_64&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); font-size: 16px; margin: 0px;&quot;&gt;&lt;!--qkimaf omRYEc_64/HugV6--&gt;&lt;!--cqw1tb omRYEc_64/HugV6--&gt;a device that connects your computer or home network to the internet by translating signals&lt;!--TgQPHd|||[]--&gt;&lt;/mark&gt;. The main jobs of a modem are modulation and demodulation&lt;/span&gt;&lt;/span&gt;&lt;p&gt;&lt;/p&gt;&lt;p dir=&quot;ltr&quot; style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px 0px 10px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;Digital Modem is defined as a type of modem that is used to convert digital data into digital signals. Digital data is in form of 0s and 1s. For this, it performs the process of modulation. Digital Modem modulates the digital data on digital carrier signals for transmission.&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;h3 style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; clear: both; font-size: 20px; letter-spacing: 0px !important; line-height: 28px; margin: 24px 0px; padding: 0px; text-align: left; text-rendering: geometricprecision; vertical-align: baseline; word-break: break-word;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;3. Cable Modem&lt;/span&gt;&lt;/span&gt;&lt;/h3&gt;&lt;div&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEiGG-Z6tpsfXInMRvAVi2wmGemcKtMQfHYtPqcgnyE5uWYkj4bO8huZu-0v46Vtl7uGNyPXpQx5pWSaRmaiLH3knQP--BesHAav-VBTn02gAKXNWGN-srvTh3CHeUTyPO6la_r9t_5Y-uS2YTc_qoRNRMLcRvXzlQiaJUfXXvrzxc8hyHfTR2_NyN823xI&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;146&quot; data-original-width=&quot;222&quot; height=&quot;210&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEiGG-Z6tpsfXInMRvAVi2wmGemcKtMQfHYtPqcgnyE5uWYkj4bO8huZu-0v46Vtl7uGNyPXpQx5pWSaRmaiLH3knQP--BesHAav-VBTn02gAKXNWGN-srvTh3CHeUTyPO6la_r9t_5Y-uS2YTc_qoRNRMLcRvXzlQiaJUfXXvrzxc8hyHfTR2_NyN823xI&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;p dir=&quot;ltr&quot; style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px 0px 10px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;Cable modems are defined as a type of modem used to establish a communication between computer systems and the Internet Service Providers. A cable modem helps to access high-speed data through cable TV networks. Such modems are usually connected to desktops or systems and work like external devices.&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;h3 style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; clear: both; font-size: 20px; letter-spacing: 0px !important; line-height: 28px; margin: 24px 0px; padding: 0px; text-align: left; text-rendering: geometricprecision; vertical-align: baseline; word-break: break-word;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;4. Satellite Modem&lt;/span&gt;&lt;/span&gt;&lt;/h3&gt;&lt;div&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEgjxaEFg1snaShUy2w-x9k77n8R8JfrmNLYluUd_-3cVc_cFjB4b1VhdNJ6poj2HJlRIpt75vprpZjuBmUmtaqpixlOt2Al89DE2sxP69r4W6f-_B7dWUYgSnKYAtg1jp5Djbrv-Y58_dyXuWLlBGEQ_m_8qEQGiZczHsSNR8eNL3QtjWTy_bKckQdYX3c&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;324&quot; data-original-width=&quot;576&quot; height=&quot;180&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEgjxaEFg1snaShUy2w-x9k77n8R8JfrmNLYluUd_-3cVc_cFjB4b1VhdNJ6poj2HJlRIpt75vprpZjuBmUmtaqpixlOt2Al89DE2sxP69r4W6f-_B7dWUYgSnKYAtg1jp5Djbrv-Y58_dyXuWLlBGEQ_m_8qEQGiZczHsSNR8eNL3QtjWTy_bKckQdYX3c&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;p dir=&quot;ltr&quot; style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px 0px 10px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;Satellite Modems are defined as a type of modem that provides with the internet connection through satellite dishes. This type of modem works by sending the input bits into output radio signals and vice versa. The internet network that is provided by such types of modems is more reliable and efficient as compared to other types of modems.&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;h3 style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; clear: both; font-size: 20px; letter-spacing: 0px !important; line-height: 28px; margin: 24px 0px; padding: 0px; text-align: left; text-rendering: geometricprecision; vertical-align: baseline; word-break: break-word;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;5. Dial Modem&lt;/span&gt;&lt;/span&gt;&lt;/h3&gt;&lt;div&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEiTz_McEhEvinP6wC2uE0lqb_iOEbofdq1llgeoRX8Md7frldq7QII8T8zIAt6WQ0eTKLgZ2vYKq_W2uoerTZp7HEQqi4qVZptCx7yGLWcPHeFB6uIU1L11ytvost_T8z4f9wPtE_SOi2ou89lDsP-N3O3w-LLpbwhUe_Fglrt0ujTf3hnRcB0JD-U-ZAE&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;460&quot; data-original-width=&quot;434&quot; height=&quot;240&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEiTz_McEhEvinP6wC2uE0lqb_iOEbofdq1llgeoRX8Md7frldq7QII8T8zIAt6WQ0eTKLgZ2vYKq_W2uoerTZp7HEQqi4qVZptCx7yGLWcPHeFB6uIU1L11ytvost_T8z4f9wPtE_SOi2ou89lDsP-N3O3w-LLpbwhUe_Fglrt0ujTf3hnRcB0JD-U-ZAE&quot; width=&quot;226&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;p dir=&quot;ltr&quot; style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px 0px 10px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;A Dial Modem is a type of modem that converts data used in telephone and data used on computers. In short dial modem converts between analog form and digital form. The networking devices connected to the computer are all at one end and the telephone line is at another end. This type of modem transmits the data at a speed of 56000 per/sec.&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;h2 style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; clear: both; font-size: 24px; letter-spacing: 0px !important; line-height: 28px; margin: 0px; padding: 0px; text-align: left; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;Advantages of Modem&lt;/span&gt;&lt;/span&gt;&lt;/h2&gt;&lt;p dir=&quot;ltr&quot; style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px 0px 10px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;ul style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; display: flex; flex-direction: column; letter-spacing: 0.131625px !important; line-height: 1.2; list-style: outside disc; margin: 0px 0px 24px; padding: 0px; text-align: left; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;&lt;li style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; letter-spacing: 0.131625px !important; line-height: 1.58; margin: 0px 0px 0px 24px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot; value=&quot;1&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;A modem converts digital signals into an analog signal.&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;&lt;li style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; letter-spacing: 0.131625px !important; line-height: 1.58; margin: 0px 0px 0px 24px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot; value=&quot;2&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;The cost of a modem increases according to the features it has.&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;&lt;li style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; letter-spacing: 0.131625px !important; line-height: 1.58; margin: 0px 0px 0px 24px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot; value=&quot;3&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;The modem helps to connect the &lt;/span&gt;&lt;a href=&quot;https://www.geeksforgeeks.org/computer-networks/lan-full-form/&quot; rel=&quot;noopener&quot; style=&quot;-webkit-box-align: center; -webkit-tap-highlight-color: rgba(0, 0, 0, 0); align-items: center; border: 0px; box-sizing: border-box; color: #357960; cursor: pointer; display: inline; letter-spacing: 0.131625px !important; line-height: 1.2; margin: 0px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;LAN&lt;/span&gt;&lt;/a&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt; to the internet.&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;&lt;li style=&quot;-webkit-tap-highlight-color: transparent; border: 0px; box-sizing: border-box; letter-spacing: 0.131625px !important; line-height: 1.58; margin: 0px 0px 0px 24px; padding: 0px; text-rendering: geometricprecision; vertical-align: baseline;&quot; value=&quot;4&quot;&gt;&lt;span style=&quot;-webkit-tap-highlight-color: transparent; box-sizing: border-box; color: inherit; font-size: inherit; font-weight: inherit; letter-spacing: 0.162px !important; line-height: 1.6; text-rendering: geometricprecision;&quot;&gt;&lt;span style=&quot;font-family: arial;&quot;&gt;Modem performs both modulation and demodulation processes simultaneously&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;&lt;/ul&gt;&lt;div style=&quot;text-align: left;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/5662656926919063142'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/5662656926919063142'/><link rel='alternate' type='text/html' href='http://rgkumaran.blogspot.com/2026/07/modem.html' title='Modem '/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/a/AVvXsEih-shWvg2CFHYyLYuAPz6UlIyEbg6lZGpZpfHUKaxfwAT2fLQQamYnXkt5dqWKGGoc7KPbOFI1EsTd1Qbf-kQxL5llpv7M-RLOm3IZd2nTOGHTly8HQjvyBQ09Qtr8ouepTagkXm8aoJud0mkJ0KC7pQM2pfthHZaxifQFHBZX7wZYQsJGcILQij2ImM4=s72-c" height="72" width="72"/></entry><entry><id>tag:blogger.com,1999:blog-207255288551257803.post-5162882476888520376</id><published>2026-07-24T01:52:02.517-07:00</published><updated>2026-07-24T01:58:31.986-07:00</updated><title type='text'>ALL LINKS / BDU MSC CS SYLLABUS 26-27</title><content type='html'>&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;&lt;a href=&quot;https://www.bdu.ac.in/academics/syllabi/2026/Science/PG/MSc-COMPUTER-SCIENCE.pdf&quot; 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imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; data-original-height=&quot;1536&quot; data-original-width=&quot;1024&quot; height=&quot;447&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiqFq5I_kUsk8-lEdXXDVy_SXRfUeQ8SVUw_V4JWIr579H0W9HYUc2bVCYzpgcyDqF032BzyAsX3UarlpDYD9MMuoR7-wE8tA6z8oIfUQdIkcwm7mWyu9ixC9XkE3KHKhgeNplyzXIGEpo4nmhyVECp5S8Pa_2qC7nqE9AEeagty0OSAengGVvf2lhe6e4/w349-h447/IIP%20BROC.png&quot; width=&quot;349&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/5241717672139605858'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/5241717672139605858'/><link rel='alternate' type='text/html' href='http://rgkumaran.blogspot.com/2026/07/research-iip-series-book-chapter.html' title='RESEARCH / IIP SERIES BOOK CHAPTER'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiwS1148POEjxhObZiIm1KAzoPB7CgdAHlLm3c1plIS1itBFFLIntYDkQD5rQYbqbaedVCAJLSrmCDBFyqYLp6FsNvjB7aOM3JXCd77aTFP70hhbD5aAaUjgx9hpfF8gdmkaxzovEiIsx9ZcRPE9yEXOXokilBW1YDzfPJ2MzNrXf1BMAkv7_9eEGueHt8/s72-w469-h223-c/RESEARCH%20.jpg" height="72" width="72"/></entry><entry><id>tag:blogger.com,1999:blog-207255288551257803.post-3462173145889802458</id><published>2026-06-22T05:55:40.197-07:00</published><updated>2026-06-22T05:55:40.197-07:00</updated><title type='text'>PYTHON - Data Cleaning and Pre -processing Data </title><content type='html'>&lt;div class=&quot;&quot; data-bfc=&quot;&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-ved=&quot;2ahUKEwiHhLuz45qVAxXwUGcHHcMGMpgQi4wTegoIAggACAEIFhAA&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; margin: 0px;&quot;&gt;&lt;div aria-level=&quot;3&quot; class=&quot;AdPoic&quot; data-animation-nesting=&quot;&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 600; margin: 24px 0px 12px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;SF2W9b#clbHl&quot; jsuid=&quot;XB3ZJf_2g&quot; role=&quot;heading&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); font-weight: 600; margin: 24px 0px 12px;&quot;&gt;1. Basic Quality Inspection &amp;amp; Summary&lt;!--TgQPHd||[]--&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;&lt;span style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px;&quot;&gt;Before altering data, ask ChatGPT to write code that analyzes the overall health of your dataset&lt;/span&gt;&amp;nbsp;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 600;&quot;&gt;Prompt:&lt;/span&gt;&lt;/p&gt;&lt;em class=&quot;eujQNb&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;yHWXO#Mkm8ud&quot; jsuid=&quot;XB3ZJf_2x&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px;&quot;&gt;&lt;div style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; text-align: justify;&quot;&gt;&lt;em class=&quot;eujQNb&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;yHWXO#Mkm8ud&quot; jsuid=&quot;XB3ZJf_2x&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px;&quot;&gt;“Act as a Senior Data Scientist. I have a DataFrame called &lt;code class=&quot;KDcb0c&quot; data-copy-service-computed-style=&quot;font-family: monospace; font-size: 14px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 1px solid rgb(243, 245, 246);&quot; data-sfc-cb=&quot;&quot; data-sfc-root=&quot;ep&quot; dir=&quot;ltr&quot; jsaction=&quot;&quot; jscontroller=&quot;hNviFe#redMub&quot; jsuid=&quot;XB3ZJf_2y&quot; style=&quot;border-bottom: 1px solid rgb(243, 245, 246); font-size: 14px; margin: 0px;&quot;&gt;df&lt;/code&gt; containing global sales data with columns: &lt;code class=&quot;KDcb0c&quot; data-copy-service-computed-style=&quot;font-family: monospace; font-size: 14px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 1px solid rgb(243, 245, 246);&quot; data-sfc-cb=&quot;&quot; data-sfc-root=&quot;ep&quot; dir=&quot;ltr&quot; jsaction=&quot;&quot; jscontroller=&quot;hNviFe#redMub&quot; jsuid=&quot;XB3ZJf_2z&quot; style=&quot;border-bottom: 1px solid rgb(243, 245, 246); font-size: 14px; margin: 0px;&quot;&gt;order_id&lt;/code&gt;, &lt;code class=&quot;KDcb0c&quot; data-copy-service-computed-style=&quot;font-family: monospace; font-size: 14px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 1px solid rgb(243, 245, 246);&quot; data-sfc-cb=&quot;&quot; data-sfc-root=&quot;ep&quot; dir=&quot;ltr&quot; jsaction=&quot;&quot; jscontroller=&quot;hNviFe#redMub&quot; jsuid=&quot;XB3ZJf_30&quot; style=&quot;border-bottom: 1px solid rgb(243, 245, 246); font-size: 14px; margin: 0px;&quot;&gt;product_name&lt;/code&gt;, &lt;code class=&quot;KDcb0c&quot; data-copy-service-computed-style=&quot;font-family: monospace; font-size: 14px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 1px solid rgb(243, 245, 246);&quot; data-sfc-cb=&quot;&quot; data-sfc-root=&quot;ep&quot; dir=&quot;ltr&quot; jsaction=&quot;&quot; jscontroller=&quot;hNviFe#redMub&quot; jsuid=&quot;XB3ZJf_31&quot; style=&quot;border-bottom: 1px solid rgb(243, 245, 246); font-size: 14px; margin: 0px;&quot;&gt;price&lt;/code&gt;, &lt;code class=&quot;KDcb0c&quot; data-copy-service-computed-style=&quot;font-family: monospace; font-size: 14px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 1px solid rgb(243, 245, 246);&quot; data-sfc-cb=&quot;&quot; data-sfc-root=&quot;ep&quot; dir=&quot;ltr&quot; jsaction=&quot;&quot; jscontroller=&quot;hNviFe#redMub&quot; jsuid=&quot;XB3ZJf_32&quot; style=&quot;border-bottom: 1px solid rgb(243, 245, 246); font-size: 14px; margin: 0px;&quot;&gt;quantity&lt;/code&gt;, &lt;code class=&quot;KDcb0c&quot; data-copy-service-computed-style=&quot;font-family: monospace; font-size: 14px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 1px solid rgb(243, 245, 246);&quot; data-sfc-cb=&quot;&quot; data-sfc-root=&quot;ep&quot; dir=&quot;ltr&quot; jsaction=&quot;&quot; jscontroller=&quot;hNviFe#redMub&quot; jsuid=&quot;XB3ZJf_33&quot; style=&quot;border-bottom: 1px solid rgb(243, 245, 246); font-size: 14px; margin: 0px;&quot;&gt;order_date&lt;/code&gt;, and &lt;code class=&quot;KDcb0c&quot; data-copy-service-computed-style=&quot;font-family: monospace; font-size: 14px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 1px solid rgb(243, 245, 246);&quot; data-sfc-cb=&quot;&quot; data-sfc-root=&quot;ep&quot; dir=&quot;ltr&quot; jsaction=&quot;&quot; jscontroller=&quot;hNviFe#redMub&quot; jsuid=&quot;XB3ZJf_34&quot; style=&quot;border-bottom: 1px solid rgb(243, 245, 246); font-size: 14px; margin: 0px;&quot;&gt;customer_email&lt;/code&gt;. Write Python code using &lt;span class=&quot;T286Pc&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;fly6D#d5Qebf&quot; jsuid=&quot;XB3ZJf_35&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px;&quot;&gt;Pandas&lt;/span&gt; to check for missing values, identify total duplicate records, and output the exact data types of each column. Keep the code clean and well-commented.”&lt;/em&gt;&lt;/div&gt;&lt;div style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; text-align: justify;&quot;&gt;&lt;em class=&quot;eujQNb&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;yHWXO#Mkm8ud&quot; jsuid=&quot;XB3ZJf_2x&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px;&quot;&gt;&lt;br /&gt;&lt;/em&gt;&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;&lt;em class=&quot;eujQNb&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;yHWXO#Mkm8ud&quot; jsuid=&quot;XB3ZJf_2x&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px;&quot;&gt;&lt;div class=&quot;&quot; data-bfc=&quot;&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-ved=&quot;2ahUKEwiHhLuz45qVAxXwUGcHHcMGMpgQi4wTegoIAggACAEIHRAA&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; margin: 0px;&quot;&gt;&lt;div aria-level=&quot;3&quot; class=&quot;AdPoic&quot; data-animation-nesting=&quot;&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 600; margin: 24px 0px 12px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;SF2W9b#clbHl&quot; jsuid=&quot;XB3ZJf_3e&quot; role=&quot;heading&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); font-weight: 600; margin: 24px 0px 12px;&quot;&gt;2. Handling Missing Data and Type Standardization&lt;!--TgQPHd||[]--&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot; data-bfc=&quot;&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-ved=&quot;2ahUKEwiHhLuz45qVAxXwUGcHHcMGMpgQi4wTegoIAggACAEIIRAA&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); margin: 0px;&quot;&gt;&lt;div class=&quot;n6owBd awi2gc&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 12px 0px 16px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-hveid=&quot;CAIIAAgBCCEQAQ&quot; data-sfc-cb=&quot;&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;TDBkbc#Ml18Xb&quot; jsuid=&quot;XB3ZJf_3l&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; margin: 12px 0px 16px;&quot;&gt;Standardizing irregular data formats and resolving blank fields ensures model stability&lt;/div&gt;&lt;div class=&quot;n6owBd awi2gc&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 12px 0px 16px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-hveid=&quot;CAIIAAgBCCEQAQ&quot; data-sfc-cb=&quot;&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;TDBkbc#Ml18Xb&quot; jsuid=&quot;XB3ZJf_3l&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); margin: 12px 0px 16px;&quot;&gt;&lt;div class=&quot;n6owBd awi2gc&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px 0px 16px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-hveid=&quot;CAIIAAgBCCgQAg&quot; data-sfc-cb=&quot;&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;TDBkbc#Ml18Xb&quot; jsuid=&quot;XB3ZJf_56&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; margin: 0px 0px 16px;&quot;&gt;&lt;span class=&quot;Yjhzub&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 600; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;zYmgkd#vvzi1e&quot; jsuid=&quot;XB3ZJf_57&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); font-weight: 600; margin: 0px;&quot;&gt;Prompt:&lt;!--TgQPHd||[]--&gt;&lt;/span&gt;&lt;br data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-pl=&quot;||[]&quot; data-sfc-root=&quot;c&quot; jsaction=&quot;&quot; jscontroller=&quot;Gy8rfb#B4oRN&quot; jsuid=&quot;XB3ZJf_58&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px;&quot; /&gt;*“You are a data cleaning assistant. I have a dataset with hidden anomalies. Write a Python script to do the following:&lt;!--TgQPHd||[]--&gt;&lt;/div&gt;&lt;ol class=&quot;IaGLZe VimKh&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 12px 0px 16px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;xE4zce#N1SbDe&quot; jsuid=&quot;XB3ZJf_59&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; margin: 12px 0px 16px;&quot;&gt;&lt;li class=&quot;Z1qcYe&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px 0px 12px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-hveid=&quot;CAIIAAgBCCgQAw&quot; data-sfc-cb=&quot;&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;oSLmPe#HokZ0d&quot; jsuid=&quot;XB3ZJf_5a&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px 0px 12px;&quot;&gt;&lt;span class=&quot;T286Pc&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;fly6D#d5Qebf&quot; jsuid=&quot;XB3ZJf_5b&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px;&quot;&gt;Impute missing numerical values in the &lt;code class=&quot;KDcb0c&quot; data-copy-service-computed-style=&quot;font-family: monospace; font-size: 14px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 1px solid rgb(243, 245, 246);&quot; data-sfc-cb=&quot;&quot; data-sfc-root=&quot;ep&quot; dir=&quot;ltr&quot; jsaction=&quot;&quot; jscontroller=&quot;hNviFe#redMub&quot; jsuid=&quot;XB3ZJf_5c&quot; style=&quot;border-bottom: 1px solid rgb(243, 245, 246); font-size: 14px; margin: 0px;&quot;&gt;price&lt;!--TgQPHd||[]--&gt;&lt;/code&gt; column using the column median.&lt;!--TgQPHd||[]--&gt;&lt;/span&gt;&lt;!--TgQPHd||[]--&gt;&lt;/li&gt;&lt;li class=&quot;Z1qcYe&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px 0px 12px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-hveid=&quot;CAIIAAgBCCgQBA&quot; data-sfc-cb=&quot;&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;oSLmPe#HokZ0d&quot; jsuid=&quot;XB3ZJf_5d&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px 0px 12px;&quot;&gt;&lt;span class=&quot;T286Pc&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;fly6D#d5Qebf&quot; jsuid=&quot;XB3ZJf_5e&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px;&quot;&gt;Convert strings representing missing values like &#39;N/A&#39; or &#39;null&#39; into true &lt;span class=&quot;&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-cp=&quot;&quot; data-sfc-inited=&quot;2&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;mouseenter:&amp;amp;XB3ZJf_5f|WOQqYb;mouseleave:&amp;amp;XB3ZJf_5f|Tx5Rb;focusin:&amp;amp;XB3ZJf_5f|mrwrPd;focusout:&amp;amp;XB3ZJf_5f|mFndSc;pointerdown:&amp;amp;XB3ZJf_5f|FEiYhc;click:&amp;amp;XB3ZJf_5f|C6aVhd;&quot; jscontroller=&quot;KMhGd#Mx1qPe&quot; jsuid=&quot;XB3ZJf_5f&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px;&quot;&gt;&lt;a class=&quot;H23r4e&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 500; margin: 0px; text-decoration: underline 1px rgb(26, 13, 171); border-bottom: 0px rgb(26, 13, 171);&quot; data-hveid=&quot;CAIIAAgBCCgQBQ&quot; href=&quot;https://numpy.org/&quot; ping=&quot;/url?sa=t&amp;amp;source=web&amp;amp;rct=j&amp;amp;url=https://numpy.org/&amp;amp;ved=2ahUKEwiHhLuz45qVAxXwUGcHHcMGMpgQy_kOegoIAggACAEIKBAF&amp;amp;opi=89978449&quot; rel=&quot;noopener&quot; style=&quot;border-bottom: 0px rgb(26, 13, 171); margin: 0px; text-decoration: underline 1px rgb(26, 13, 171);&quot; target=&quot;_blank&quot;&gt;NumPy&lt;/a&gt;&lt;!--TgQPHd||[[&amp;quot;https://numpy.org/&amp;quot;,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,[{&amp;quot;1218&amp;quot;:[16]}]],16,null,null,null,null,null,null,[[1782128873226759,124211440,2553415363],null,null,null,null,[[2,0,1,38]]],null,&amp;quot;7df659ad-f1cc-483c-8fe4-33e773e49422&amp;quot;]]--&gt;&lt;/span&gt; NaN values.&lt;!--TgQPHd||[]--&gt;&lt;/span&gt;&lt;!--TgQPHd||[]--&gt;&lt;/li&gt;&lt;li class=&quot;Z1qcYe&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px 0px 12px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-hveid=&quot;CAIIAAgBCCgQBg&quot; data-sfc-cb=&quot;&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;oSLmPe#HokZ0d&quot; jsuid=&quot;XB3ZJf_5g&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px 0px 12px;&quot;&gt;&lt;span class=&quot;T286Pc&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;fly6D#d5Qebf&quot; jsuid=&quot;XB3ZJf_5h&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px;&quot;&gt;Standardize the &lt;code class=&quot;KDcb0c&quot; data-copy-service-computed-style=&quot;font-family: monospace; font-size: 14px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 1px solid rgb(243, 245, 246);&quot; data-sfc-cb=&quot;&quot; data-sfc-root=&quot;ep&quot; dir=&quot;ltr&quot; jsaction=&quot;&quot; jscontroller=&quot;hNviFe#redMub&quot; jsuid=&quot;XB3ZJf_5i&quot; style=&quot;border-bottom: 1px solid rgb(243, 245, 246); font-size: 14px; margin: 0px;&quot;&gt;order_date&lt;!--TgQPHd||[]--&gt;&lt;/code&gt; column into a proper &lt;code class=&quot;KDcb0c&quot; data-copy-service-computed-style=&quot;font-family: monospace; font-size: 14px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 1px solid rgb(243, 245, 246);&quot; data-sfc-cb=&quot;&quot; data-sfc-root=&quot;ep&quot; dir=&quot;ltr&quot; jsaction=&quot;&quot; jscontroller=&quot;hNviFe#redMub&quot; jsuid=&quot;XB3ZJf_5j&quot; style=&quot;border-bottom: 1px solid rgb(243, 245, 246); font-size: 14px; margin: 0px;&quot;&gt;datetime64[ns]&lt;!--TgQPHd||[]--&gt;&lt;/code&gt; format.&lt;br data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-pl=&quot;||[]&quot; data-sfc-root=&quot;c&quot; jsaction=&quot;&quot; jscontroller=&quot;Gy8rfb#B4oRN&quot; jsuid=&quot;XB3ZJf_5k&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px;&quot; /&gt;Output only optimized Python code without verbose explanations.”*&lt;!--TgQPHd||[]--&gt;&lt;/span&gt;&lt;!--TgQPHd||[]--&gt;&lt;/li&gt;&lt;!--TgQPHd||[]--&gt;&lt;/ol&gt;&lt;div class=&quot;&quot; data-bfc=&quot;&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-ved=&quot;2ahUKEwiHhLuz45qVAxXwUGcHHcMGMpgQi4wTegoIAggACAEIKRAA&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; margin: 0px;&quot;&gt;&lt;div aria-level=&quot;3&quot; class=&quot;AdPoic&quot; data-animation-nesting=&quot;&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 600; margin: 24px 0px 12px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;SF2W9b#clbHl&quot; jsuid=&quot;XB3ZJf_5x&quot; role=&quot;heading&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); font-weight: 600; margin: 24px 0px 12px;&quot;&gt;3. Handling Outliers Using Statistical Methods&lt;!--TgQPHd||[]--&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot; data-bfc=&quot;&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-ved=&quot;2ahUKEwiHhLuz45qVAxXwUGcHHcMGMpgQi4wTegoIAggACAEIKxAA&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); margin: 0px;&quot;&gt;&lt;div class=&quot;n6owBd awi2gc&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 12px 0px 16px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-hveid=&quot;CAIIAAgBCCsQAQ&quot; data-sfc-cb=&quot;&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;TDBkbc#Ml18Xb&quot; jsuid=&quot;XB3ZJf_64&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; margin: 12px 0px 16px;&quot;&gt;Automatically strip extreme visual anomalies that skew downstream machine learning models&lt;/div&gt;&lt;div class=&quot;n6owBd awi2gc&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 12px 0px 16px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-hveid=&quot;CAIIAAgBCCsQAQ&quot; data-sfc-cb=&quot;&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;TDBkbc#Ml18Xb&quot; jsuid=&quot;XB3ZJf_64&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; margin: 12px 0px 16px;&quot;&gt;&lt;span class=&quot;Yjhzub&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 600; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;zYmgkd#vvzi1e&quot; jsuid=&quot;XB3ZJf_6d&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); font-weight: 600; margin: 0px;&quot;&gt;Prompt:&lt;!--TgQPHd||[]--&gt;&lt;/span&gt;&lt;br data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-pl=&quot;||[]&quot; data-sfc-root=&quot;c&quot; jsaction=&quot;&quot; jscontroller=&quot;Gy8rfb#B4oRN&quot; jsuid=&quot;XB3ZJf_6e&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px;&quot; /&gt;&lt;em class=&quot;eujQNb&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;yHWXO#Mkm8ud&quot; jsuid=&quot;XB3ZJf_6f&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px;&quot;&gt;“Write a Python function using &lt;span class=&quot;T286Pc&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;fly6D#d5Qebf&quot; jsuid=&quot;XB3ZJf_6g&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px;&quot;&gt;Pandas&lt;!--TgQPHd||[]--&gt;&lt;/span&gt; and &lt;span class=&quot;T286Pc&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;fly6D#d5Qebf&quot; jsuid=&quot;XB3ZJf_6h&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px;&quot;&gt;NumPy&lt;!--TgQPHd||[]--&gt;&lt;/span&gt; that takes a DataFrame &lt;code class=&quot;KDcb0c&quot; data-copy-service-computed-style=&quot;font-family: monospace; font-size: 14px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 1px solid rgb(243, 245, 246);&quot; data-sfc-cb=&quot;&quot; data-sfc-root=&quot;ep&quot; dir=&quot;ltr&quot; jsaction=&quot;&quot; jscontroller=&quot;hNviFe#redMub&quot; jsuid=&quot;XB3ZJf_6i&quot; style=&quot;border-bottom: 1px solid rgb(243, 245, 246); font-size: 14px; margin: 0px;&quot;&gt;df&lt;!--TgQPHd||[]--&gt;&lt;/code&gt; and removes rows containing outliers in the numeric column &lt;code class=&quot;KDcb0c&quot; data-copy-service-computed-style=&quot;font-family: monospace; font-size: 14px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 1px solid rgb(243, 245, 246);&quot; data-sfc-cb=&quot;&quot; data-sfc-root=&quot;ep&quot; dir=&quot;ltr&quot; jsaction=&quot;&quot; jscontroller=&quot;hNviFe#redMub&quot; jsuid=&quot;XB3ZJf_6j&quot; style=&quot;border-bottom: 1px solid rgb(243, 245, 246); font-size: 14px; margin: 0px;&quot;&gt;quantity&lt;!--TgQPHd||[]--&gt;&lt;/code&gt;. Use the Interquartile Range (IQR) method where outliers are defined as values 1.5 × IQR outside the first and third quartiles. Return the cleaned DataFrame.”&lt;/em&gt;&lt;/div&gt;&lt;div class=&quot;n6owBd awi2gc&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 12px 0px 16px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-hveid=&quot;CAIIAAgBCCsQAQ&quot; data-sfc-cb=&quot;&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;TDBkbc#Ml18Xb&quot; jsuid=&quot;XB3ZJf_64&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); margin: 12px 0px 16px;&quot;&gt;&lt;em class=&quot;eujQNb&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;yHWXO#Mkm8ud&quot; jsuid=&quot;XB3ZJf_6f&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px;&quot;&gt;&lt;div class=&quot;&quot; data-bfc=&quot;&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-ved=&quot;2ahUKEwiHhLuz45qVAxXwUGcHHcMGMpgQi4wTegoIAggACAEIMBAA&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; margin: 0px;&quot;&gt;&lt;div aria-level=&quot;3&quot; class=&quot;AdPoic&quot; data-animation-nesting=&quot;&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 600; margin: 24px 0px 12px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;SF2W9b#clbHl&quot; jsuid=&quot;XB3ZJf_6r&quot; role=&quot;heading&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); font-weight: 600; margin: 24px 0px 12px;&quot;&gt;4. Categorical Feature Encoding&lt;!--TgQPHd||[]--&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot; data-bfc=&quot;&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-ved=&quot;2ahUKEwiHhLuz45qVAxXwUGcHHcMGMpgQi4wTegoIAggACAEIMxAA&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; margin: 0px;&quot;&gt;&lt;div class=&quot;n6owBd awi2gc&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 12px 0px 16px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-hveid=&quot;CAIIAAgBCDMQAQ&quot; data-sfc-cb=&quot;&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;TDBkbc#Ml18Xb&quot; jsuid=&quot;XB3ZJf_6y&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); margin: 12px 0px 16px;&quot;&gt;Transforming non-numeric labels into structured matrices is essential for &lt;span class=&quot;&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-sfc-cb=&quot;&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;mouseenter:&amp;amp;XB3ZJf_6z|WOQqYb;mouseleave:&amp;amp;XB3ZJf_6z|Tx5Rb;focusin:&amp;amp;XB3ZJf_6z|mrwrPd;focusout:&amp;amp;XB3ZJf_6z|mFndSc;pointerdown:&amp;amp;XB3ZJf_6z|FEiYhc;click:&amp;amp;XB3ZJf_6z|C6aVhd;&quot; jscontroller=&quot;KMhGd#Mx1qPe&quot; jsuid=&quot;XB3ZJf_6z&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); margin: 0px;&quot;&gt;&lt;a class=&quot;H23r4e&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 500; margin: 0px; text-decoration: underline 1px rgb(26, 13, 171); border-bottom: 0px rgb(26, 13, 171);&quot; data-hveid=&quot;CAIIAAgBCDMQAg&quot; href=&quot;https://scikit-learn.org/&quot; ping=&quot;/url?sa=t&amp;amp;source=web&amp;amp;rct=j&amp;amp;url=https://scikit-learn.org/&amp;amp;ved=2ahUKEwiHhLuz45qVAxXwUGcHHcMGMpgQy_kOegoIAggACAEIMxAC&amp;amp;opi=89978449&quot; rel=&quot;noopener&quot; style=&quot;border-bottom: 0px rgb(26, 13, 171); margin: 0px; text-decoration: underline 1px rgb(26, 13, 171);&quot; target=&quot;_blank&quot;&gt;Scikit-learn&lt;/a&gt;&lt;!--TgQPHd||[[&amp;quot;https://scikit-learn.org/&amp;quot;,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,[{&amp;quot;1218&amp;quot;:[16]}]],16,null,null,null,null,null,null,[[1782128873226759,124211440,2553415363],null,null,null,null,[[2,0,1,49]]],null,&amp;quot;d0138e07-e43d-42dc-b50c-458c93a2c1c0&amp;quot;]]--&gt;&lt;/span&gt; pipelines.&amp;nbsp;&lt;!--TgQPHd||[]--&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;Fsg96&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-sfc-cb=&quot;&quot; data-sfc-cp=&quot;&quot; data-sfc-inited=&quot;2&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;rcuQ6b:&amp;amp;XB3ZJf_75|npT2md&quot; jscontroller=&quot;KHhJQ#U8DOt&quot; jsuid=&quot;XB3ZJf_75&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; margin: 0px;&quot;&gt;&lt;!--TgQPHd||[]--&gt;&lt;/div&gt;&lt;div class=&quot;&quot; data-bfc=&quot;&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(10, 10, 10);&quot; data-ved=&quot;2ahUKEwiHhLuz45qVAxXwUGcHHcMGMpgQi4wTegoIAggACAEINRAA&quot; style=&quot;border-bottom: 0px rgb(10, 10, 10); margin: 0px;&quot;&gt;&lt;blockquote class=&quot;lQkWXb&quot; data-animation-nesting=&quot;&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 4px 40px 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;W2LVve#ZSmpJd&quot; jsuid=&quot;XB3ZJf_76&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; margin: 4px 40px 0px;&quot;&gt;&lt;div class=&quot;n6owBd awi2gc NOp1Jf&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-hveid=&quot;CAIIAAgBCDUQAg&quot; data-sfc-cb=&quot;&quot; data-sfc-cp=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;TDBkbc#Ml18Xb&quot; jsuid=&quot;XB3ZJf_77&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px;&quot;&gt;&lt;span class=&quot;Yjhzub&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 600; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;zYmgkd#vvzi1e&quot; jsuid=&quot;XB3ZJf_78&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); font-weight: 600; margin: 0px;&quot;&gt;&lt;span class=&quot;yADgie&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 600; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px;&quot;&gt;Prompt:&lt;/span&gt;&lt;!--TgQPHd||[]--&gt;&lt;/span&gt;&lt;br data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-pl=&quot;||[]&quot; data-sfc-root=&quot;c&quot; jsaction=&quot;&quot; jscontroller=&quot;Gy8rfb#B4oRN&quot; jsuid=&quot;XB3ZJf_79&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px;&quot; /&gt;&lt;em class=&quot;eujQNb&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; data-sfc-cb=&quot;&quot; data-sfc-root=&quot;ep&quot; jsaction=&quot;&quot; jscontroller=&quot;yHWXO#Mkm8ud&quot; jsuid=&quot;XB3ZJf_7a&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px;&quot;&gt;&lt;span class=&quot;yADgie&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px;&quot;&gt;“I am preparing data for a machine learning model. Write Python code to encode a categorical column named &lt;/span&gt;&lt;code class=&quot;KDcb0c&quot; data-copy-service-computed-style=&quot;font-family: monospace; font-size: 14px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 1px solid rgb(243, 245, 246);&quot; data-sfc-cb=&quot;&quot; data-sfc-root=&quot;ep&quot; dir=&quot;ltr&quot; jsaction=&quot;&quot; jscontroller=&quot;hNviFe#redMub&quot; jsuid=&quot;XB3ZJf_7b&quot; style=&quot;border-bottom: 1px solid rgb(243, 245, 246); font-size: 14px; margin: 0px;&quot;&gt;&lt;span class=&quot;yADgie&quot; data-copy-service-computed-style=&quot;font-family: monospace; font-size: 14px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px;&quot;&gt;shipping_region&lt;/span&gt;&lt;!--TgQPHd||[]--&gt;&lt;/code&gt;&lt;span class=&quot;yADgie&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px;&quot;&gt; which has values like &#39;North&#39;, &#39;South&#39;, and &#39;West&#39;. Use One-Hot Encoding via &lt;/span&gt;&lt;code class=&quot;KDcb0c&quot; data-copy-service-computed-style=&quot;font-family: monospace; font-size: 14px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 1px solid rgb(243, 245, 246);&quot; data-sfc-cb=&quot;&quot; data-sfc-root=&quot;ep&quot; dir=&quot;ltr&quot; jsaction=&quot;&quot; jscontroller=&quot;hNviFe#redMub&quot; jsuid=&quot;XB3ZJf_7c&quot; style=&quot;border-bottom: 1px solid rgb(243, 245, 246); font-size: 14px; margin: 0px;&quot;&gt;&lt;span class=&quot;yADgie&quot; data-copy-service-computed-style=&quot;font-family: monospace; font-size: 14px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px;&quot;&gt;pd.get_dummies()&lt;/span&gt;&lt;!--TgQPHd||[]--&gt;&lt;/code&gt;&lt;span class=&quot;yADgie&quot; data-copy-service-computed-style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px; font-weight: 400; margin: 0px; text-decoration: none; border-bottom: 0px rgb(0, 29, 53);&quot; style=&quot;border-bottom: 0px rgb(0, 29, 53); margin: 0px;&quot;&gt; and ensure it avoids the dummy variable trap by dropping the first category.”&lt;/span&gt;&lt;!--TgQPHd||[]--&gt;&lt;/em&gt;&amp;nbsp;&lt;/div&gt;&lt;/blockquote&gt;&lt;p style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px;&quot;&gt;&lt;br /&gt;&lt;/p&gt;&lt;p style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px;&quot;&gt;&lt;b&gt;PYTHON&lt;/b&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;import pandas as pd&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;from openai import OpenAI&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;# Initialize client (Ensure your API key is configured correctly)&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;client = OpenAI(api_key=&quot;your_openai_api_key&quot;)&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;def clean_text_with_gpt(dirty_text_list):&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;&amp;nbsp; &amp;nbsp; # Convert text chunks into a structured prompt&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;&amp;nbsp; &amp;nbsp; prompt_content = f&quot;Standardize and clean this list of company names. Remove trailing characters, fix typos, and return a clean, comma-separated list:\n{dirty_text_list}&quot;&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;&amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;&amp;nbsp; &amp;nbsp; response = client.chat.completions.create(&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; model=&quot;gpt-4o&quot;,&amp;nbsp; # Use a stable, current model&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; messages=[&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; {&quot;role&quot;: &quot;system&quot;, &quot;content&quot;: &quot;You are a precise data cleaning utility. Output only the requested list without chat.&quot;},&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; {&quot;role&quot;: &quot;user&quot;, &quot;content&quot;: prompt_content}&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; ],&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; temperature=0.1&amp;nbsp; # Low temperature keeps output deterministic&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;&amp;nbsp; &amp;nbsp; )&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;&amp;nbsp; &amp;nbsp; return response.choices[0].message.content&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;# Example integration into a Pandas pipeline&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;df = pd.DataFrame({&quot;company&quot;: [&quot;Apple Inc.&quot;, &quot;apple&quot;, &quot;Aple!!&quot;, &quot;Google LLC&quot;, &quot;Gooogle&quot;]})&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;cleaned_output = clean_text_with_gpt(df[&quot;company&quot;].tolist())&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;print(cleaned_output)&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;```&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif;&quot;&gt;If you want to fine-tune this workflow for your projects, tell me:&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;* What does a **sample row** of your dataset look like?&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;* What **specific data issues** are you trying to fix (e.g., typos, broken zip codes, messy text)?&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: Google Sans, Arial, sans-serif;&quot;&gt;* Do you want the AI to **write the code for you** or **process the data directly** via the API?&lt;/span&gt;&lt;/p&gt;&lt;p style=&quot;font-family: &amp;quot;Google Sans&amp;quot;, Arial, sans-serif; font-size: 16px;&quot;&gt;&amp;nbsp;&lt;/p&gt;&lt;/div&gt;&lt;/em&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/em&gt;&lt;/div&gt;&lt;/em&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/3462173145889802458'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/3462173145889802458'/><link rel='alternate' type='text/html' href='http://rgkumaran.blogspot.com/2026/06/python-data-cleaning-and-pre-processing.html' title='PYTHON - Data Cleaning and Pre -processing Data '/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author></entry><entry><id>tag:blogger.com,1999:blog-207255288551257803.post-1350392826081750048</id><published>2026-06-16T01:13:26.370-07:00</published><updated>2026-06-16T01:24:15.176-07:00</updated><title type='text'>AI &amp; ML UNIT WISE  DAILY UPDATING</title><content type='html'>&lt;p&gt;&amp;nbsp;&lt;/p&gt;&lt;div data-is-intersecting=&quot;true&quot; data-turn-id-container=&quot;2c53d971-52a3-461e-a7fc-6d883e597dd1&quot;&gt;&lt;section class=&quot;text-token-text-primary w-full focus:outline-none has-data-writing-block:pointer-events-none [&amp;amp;:has([data-writing-block])&amp;gt;*]:pointer-events-auto R6Vx5W_threadScrollVars scroll-mb-[calc(var(--scroll-root-safe-area-inset-bottom,0px)+var(--thread-response-height))] scroll-mt-[calc(var(--header-height)+min(200px,max(70px,20svh)))]&quot; data-testid=&quot;conversation-turn-2&quot; data-turn-id-container=&quot;2c53d971-52a3-461e-a7fc-6d883e597dd1&quot; data-turn-id=&quot;2c53d971-52a3-461e-a7fc-6d883e597dd1&quot; data-turn=&quot;assistant&quot; dir=&quot;auto&quot;&gt;&lt;div class=&quot;text-base my-auto mx-auto [--thread-content-margin:var(--thread-content-margin-xs,calc(var(--spacing)*4))] @w-sm/main:[--thread-content-margin:var(--thread-content-margin-sm,calc(var(--spacing)*6))] @w-lg/main:[--thread-content-margin:var(--thread-content-margin-lg,calc(var(--spacing)*16))] px-(--thread-content-margin)&quot;&gt;&lt;div class=&quot;[--thread-content-max-width:40rem] @w-lg/main:[--thread-content-max-width:48rem] mx-auto max-w-(--thread-content-max-width) flex-1 group/turn-messages focus-visible:outline-hidden relative flex w-full min-w-0 flex-col agent-turn&quot; data-conversation-screenshot-content=&quot;&quot;&gt;&lt;div class=&quot;flex max-w-full flex-col gap-4 grow&quot;&gt;&lt;div class=&quot;min-h-8 text-message relative flex w-full flex-col items-end gap-2 text-start break-words whitespace-normal outline-none keyboard-focused:focus-ring [.text-message+&amp;amp;]:mt-1&quot; data-message-author-role=&quot;assistant&quot; data-message-id=&quot;24ebd0bb-0618-4f63-aa2e-ffb901fe4850&quot; data-message-model-slug=&quot;gpt-5-5&quot; dir=&quot;auto&quot;&gt;&lt;div class=&quot;flex w-full flex-col gap-1 empty:hidden&quot;&gt;&lt;div class=&quot;markdown prose dark:prose-invert wrap-break-word w-full light markdown-new-styling&quot;&gt;&lt;h1 data-end=&quot;39&quot; data-section-id=&quot;pqi67g&quot; data-start=&quot;0&quot;&gt;&lt;span style=&quot;color: #2b00fe;&quot;&gt;Introduction to Machine Learning (ML)&lt;/span&gt;&lt;/h1&gt;
&lt;h2 data-end=&quot;69&quot; data-section-id=&quot;ma7lh7&quot; data-start=&quot;41&quot;&gt;What is Machine Learning?&lt;/h2&gt;
&lt;p data-end=&quot;268&quot; data-start=&quot;71&quot;&gt;&lt;b data-end=&quot;96&quot; data-start=&quot;71&quot;&gt;Machine Learning (ML)&lt;/b&gt; is a branch of &lt;b data-end=&quot;144&quot; data-start=&quot;112&quot;&gt;Artificial Intelligence (AI)&lt;/b&gt; that enables computers to learn from data and improve their performance without being explicitly programmed for every task.&lt;/p&gt;
&lt;p data-end=&quot;411&quot; data-start=&quot;270&quot;&gt;Instead of following fixed instructions, ML systems analyze data, identify patterns, and use those patterns to make predictions or decisions.&lt;/p&gt;
&lt;h3 data-end=&quot;427&quot; data-section-id=&quot;1gw930z&quot; data-start=&quot;413&quot;&gt;Definition&lt;/h3&gt;
&lt;blockquote data-end=&quot;555&quot; data-start=&quot;428&quot;&gt;
&lt;p data-end=&quot;555&quot; data-start=&quot;430&quot;&gt;&lt;b data-end=&quot;555&quot; data-start=&quot;430&quot;&gt;Machine Learning is a technique that allows computers to learn from data and make decisions without explicit programming.&lt;/b&gt;&lt;/p&gt;
&lt;/blockquote&gt;
&lt;hr data-end=&quot;560&quot; data-start=&quot;557&quot; /&gt;
&lt;h2 data-end=&quot;591&quot; data-section-id=&quot;1mxpkc6&quot; data-start=&quot;562&quot;&gt;How Machine Learning Works&lt;/h2&gt;
&lt;h3 data-end=&quot;617&quot; data-section-id=&quot;ad2fau&quot; data-start=&quot;593&quot;&gt;Step-by-Step Process&lt;/h3&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;942&quot; data-start=&quot;619&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;        Data Collection&lt;/span&gt;&lt;br /&gt;&lt;span&gt;               │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;               ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      Data Preprocessing&lt;/span&gt;&lt;br /&gt;&lt;span&gt;               │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;               ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;        Train ML Model&lt;/span&gt;&lt;br /&gt;&lt;span&gt;               │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;               ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      Learn Patterns&lt;/span&gt;&lt;br /&gt;&lt;span&gt;               │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;               ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;        Make Predictions&lt;/span&gt;&lt;br /&gt;&lt;span&gt;               │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;               ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      Evaluate Accuracy&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;h3 data-end=&quot;977&quot; data-section-id=&quot;1ahe3eg&quot; data-start=&quot;944&quot;&gt;Example: Email Spam Detection&lt;/h3&gt;
&lt;ol data-end=&quot;1254&quot; data-start=&quot;979&quot;&gt;&lt;li data-end=&quot;1025&quot; data-section-id=&quot;g3va3s&quot; data-start=&quot;979&quot;&gt;
Collect emails labeled as Spam or Not Spam.
&lt;/li&gt;&lt;li data-end=&quot;1081&quot; data-section-id=&quot;rh2tt2&quot; data-start=&quot;1026&quot;&gt;
Train the machine learning model using these emails.
&lt;/li&gt;&lt;li data-end=&quot;1186&quot; data-section-id=&quot;16wykqf&quot; data-start=&quot;1082&quot;&gt;
The model learns patterns such as:
&lt;ul data-end=&quot;1186&quot; data-start=&quot;1123&quot;&gt;&lt;li data-end=&quot;1144&quot; data-section-id=&quot;3quknh&quot; data-start=&quot;1123&quot;&gt;
Suspicious keywords
&lt;/li&gt;&lt;li data-end=&quot;1165&quot; data-section-id=&quot;xbd08o&quot; data-start=&quot;1148&quot;&gt;
Unknown senders
&lt;/li&gt;&lt;li data-end=&quot;1186&quot; data-section-id=&quot;1rkr3qy&quot; data-start=&quot;1169&quot;&gt;
Excessive links
&lt;/li&gt;&lt;/ul&gt;
&lt;/li&gt;&lt;li data-end=&quot;1254&quot; data-section-id=&quot;ljmze9&quot; data-start=&quot;1187&quot;&gt;
When a new email arrives, the model predicts whether it is spam.
&lt;/li&gt;&lt;/ol&gt;
&lt;hr data-end=&quot;1259&quot; data-start=&quot;1256&quot; /&gt;
&lt;h1 data-end=&quot;1284&quot; data-section-id=&quot;i9inhq&quot; data-start=&quot;1261&quot;&gt;Why Machine Learning?&lt;/h1&gt;
&lt;p data-end=&quot;1310&quot; data-start=&quot;1286&quot;&gt;Traditional Programming:&lt;/p&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;1346&quot; data-start=&quot;1312&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Data + Rules  → Output&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;1365&quot; data-start=&quot;1348&quot;&gt;Machine Learning:&lt;/p&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;1479&quot; data-start=&quot;1367&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Data + Output Examples → Learning Algorithm&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Learning Algorithm → Model&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Model + New Data → Prediction&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;1513&quot; data-start=&quot;1481&quot;&gt;Machine Learning is useful when:&lt;/p&gt;
&lt;ul data-end=&quot;1637&quot; data-start=&quot;1515&quot;&gt;&lt;li data-end=&quot;1557&quot; data-section-id=&quot;5yg1tc&quot; data-start=&quot;1515&quot;&gt;
Rules are too complex to write manually.
&lt;/li&gt;&lt;li data-end=&quot;1596&quot; data-section-id=&quot;banadu&quot; data-start=&quot;1558&quot;&gt;
Large amounts of data are available.
&lt;/li&gt;&lt;li data-end=&quot;1637&quot; data-section-id=&quot;1ylrkkw&quot; data-start=&quot;1597&quot;&gt;
Predictions need to improve over time.
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;1642&quot; data-start=&quot;1639&quot; /&gt;
&lt;h1 data-end=&quot;1671&quot; data-section-id=&quot;10hihlh&quot; data-start=&quot;1644&quot;&gt;Types of Machine Learning&lt;/h1&gt;
&lt;h2 data-end=&quot;1698&quot; data-section-id=&quot;kexpqa&quot; data-start=&quot;1673&quot;&gt;1. Supervised Learning&lt;/h2&gt;
&lt;p data-end=&quot;1735&quot; data-start=&quot;1700&quot;&gt;The model learns from labeled data.&lt;/p&gt;
&lt;h3 data-end=&quot;1748&quot; data-section-id=&quot;16zgw4u&quot; data-start=&quot;1737&quot;&gt;Example&lt;/h3&gt;
&lt;div class=&quot;TyagGW_tableContainer&quot;&gt;&lt;div class=&quot;group TyagGW_tableWrapper flex flex-col-reverse w-fit&quot; tabindex=&quot;-1&quot;&gt;&lt;table class=&quot;w-fit min-w-(--thread-content-width)&quot; data-end=&quot;1861&quot; data-start=&quot;1750&quot;&gt;&lt;thead data-end=&quot;1768&quot; data-start=&quot;1750&quot;&gt;&lt;tr data-end=&quot;1768&quot; data-start=&quot;1750&quot;&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;1758&quot; data-start=&quot;1750&quot;&gt;Input&lt;/th&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;1768&quot; data-start=&quot;1758&quot;&gt;Output&lt;/th&gt;&lt;/tr&gt;&lt;/thead&gt;&lt;tbody data-end=&quot;1861&quot; data-start=&quot;1792&quot;&gt;&lt;tr data-end=&quot;1828&quot; data-start=&quot;1792&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1814&quot; data-start=&quot;1792&quot;&gt;Student Study Hours&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1828&quot; data-start=&quot;1814&quot;&gt;Exam Score&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;1861&quot; data-start=&quot;1829&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1846&quot; data-start=&quot;1829&quot;&gt;House Features&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1861&quot; data-start=&quot;1846&quot;&gt;House Price&lt;/td&gt;&lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt;&lt;/div&gt;&lt;/div&gt;
&lt;h3 data-end=&quot;1879&quot; data-section-id=&quot;wggvqn&quot; data-start=&quot;1863&quot;&gt;Applications&lt;/h3&gt;
&lt;ul data-end=&quot;1948&quot; data-start=&quot;1881&quot;&gt;&lt;li data-end=&quot;1905&quot; data-section-id=&quot;167d3jo&quot; data-start=&quot;1881&quot;&gt;
House Price Prediction
&lt;/li&gt;&lt;li data-end=&quot;1925&quot; data-section-id=&quot;5gjoyo&quot; data-start=&quot;1906&quot;&gt;
Medical Diagnosis
&lt;/li&gt;&lt;li data-end=&quot;1948&quot; data-section-id=&quot;1qbq5wk&quot; data-start=&quot;1926&quot;&gt;
Email Spam Detection
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;1953&quot; data-start=&quot;1950&quot; /&gt;
&lt;h2 data-end=&quot;1982&quot; data-section-id=&quot;1wgqwai&quot; data-start=&quot;1955&quot;&gt;2. Unsupervised Learning&lt;/h2&gt;
&lt;p data-end=&quot;2021&quot; data-start=&quot;1984&quot;&gt;The model learns from unlabeled data.&lt;/p&gt;
&lt;h3 data-end=&quot;2034&quot; data-section-id=&quot;16zgw4u&quot; data-start=&quot;2023&quot;&gt;Example&lt;/h3&gt;
&lt;p data-end=&quot;2084&quot; data-start=&quot;2036&quot;&gt;Grouping customers based on purchasing behavior.&lt;/p&gt;
&lt;h3 data-end=&quot;2102&quot; data-section-id=&quot;wggvqn&quot; data-start=&quot;2086&quot;&gt;Applications&lt;/h3&gt;
&lt;ul data-end=&quot;2172&quot; data-start=&quot;2104&quot;&gt;&lt;li data-end=&quot;2127&quot; data-section-id=&quot;2u44sy&quot; data-start=&quot;2104&quot;&gt;
Customer Segmentation
&lt;/li&gt;&lt;li data-end=&quot;2152&quot; data-section-id=&quot;1o9zzf8&quot; data-start=&quot;2128&quot;&gt;
Market Basket Analysis
&lt;/li&gt;&lt;li data-end=&quot;2172&quot; data-section-id=&quot;9k1f56&quot; data-start=&quot;2153&quot;&gt;
Pattern Discovery
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;2177&quot; data-start=&quot;2174&quot; /&gt;
&lt;h2 data-end=&quot;2207&quot; data-section-id=&quot;1w1alwz&quot; data-start=&quot;2179&quot;&gt;3. Reinforcement Learning&lt;/h2&gt;
&lt;p data-end=&quot;2290&quot; data-start=&quot;2209&quot;&gt;The model learns by interacting with the environment using rewards and penalties.&lt;/p&gt;
&lt;h3 data-end=&quot;2303&quot; data-section-id=&quot;16zgw4u&quot; data-start=&quot;2292&quot;&gt;Example&lt;/h3&gt;
&lt;p data-end=&quot;2330&quot; data-start=&quot;2305&quot;&gt;A robot learning to walk.&lt;/p&gt;
&lt;h3 data-end=&quot;2348&quot; data-section-id=&quot;wggvqn&quot; data-start=&quot;2332&quot;&gt;Applications&lt;/h3&gt;
&lt;ul data-end=&quot;2395&quot; data-start=&quot;2350&quot;&gt;&lt;li data-end=&quot;2360&quot; data-section-id=&quot;g0eet1&quot; data-start=&quot;2350&quot;&gt;
Robotics
&lt;/li&gt;&lt;li data-end=&quot;2375&quot; data-section-id=&quot;152vznm&quot; data-start=&quot;2361&quot;&gt;
Game Playing
&lt;/li&gt;&lt;li data-end=&quot;2395&quot; data-section-id=&quot;m4x3hv&quot; data-start=&quot;2376&quot;&gt;
Self-driving Cars
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;2400&quot; data-start=&quot;2397&quot; /&gt;
&lt;h1 data-end=&quot;2436&quot; data-section-id=&quot;z5s4on&quot; data-start=&quot;2402&quot;&gt;Applications of Machine Learning&lt;/h1&gt;
&lt;h2 data-end=&quot;2461&quot; data-section-id=&quot;56ulbu&quot; data-start=&quot;2438&quot;&gt;1. Image Recognition&lt;/h2&gt;
&lt;p data-end=&quot;2531&quot; data-start=&quot;2463&quot;&gt;Machine learning identifies objects, people, and patterns in images.&lt;/p&gt;
&lt;h3 data-end=&quot;2545&quot; data-section-id=&quot;1wxceu5&quot; data-start=&quot;2533&quot;&gt;Examples&lt;/h3&gt;
&lt;ul data-end=&quot;2614&quot; data-start=&quot;2547&quot;&gt;&lt;li data-end=&quot;2565&quot; data-section-id=&quot;1gdeqni&quot; data-start=&quot;2547&quot;&gt;
Face Recognition
&lt;/li&gt;&lt;li data-end=&quot;2589&quot; data-section-id=&quot;10xb06f&quot; data-start=&quot;2566&quot;&gt;
Fingerprint Detection
&lt;/li&gt;&lt;li data-end=&quot;2614&quot; data-section-id=&quot;guul12&quot; data-start=&quot;2590&quot;&gt;
Medical Image Analysis
&lt;/li&gt;&lt;/ul&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;2664&quot; data-start=&quot;2616&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Image → ML Model → Object Identified&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;h3 data-end=&quot;2685&quot; data-section-id=&quot;60v84j&quot; data-start=&quot;2666&quot;&gt;Real-world Uses&lt;/h3&gt;
&lt;ul data-end=&quot;2750&quot; data-start=&quot;2687&quot;&gt;&lt;li data-end=&quot;2711&quot; data-section-id=&quot;yhylgc&quot; data-start=&quot;2687&quot;&gt;
Smartphone Face Unlock
&lt;/li&gt;&lt;li data-end=&quot;2731&quot; data-section-id=&quot;5gjoyo&quot; data-start=&quot;2712&quot;&gt;
Medical Diagnosis
&lt;/li&gt;&lt;li data-end=&quot;2750&quot; data-section-id=&quot;z16jjc&quot; data-start=&quot;2732&quot;&gt;
Security Systems
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;2755&quot; data-start=&quot;2752&quot; /&gt;
&lt;h2 data-end=&quot;2780&quot; data-section-id=&quot;1hu4zei&quot; data-start=&quot;2757&quot;&gt;2. Speech Processing&lt;/h2&gt;
&lt;p data-end=&quot;2857&quot; data-start=&quot;2782&quot;&gt;Machine learning converts spoken language into text and understands speech.&lt;/p&gt;
&lt;h3 data-end=&quot;2871&quot; data-section-id=&quot;1wxceu5&quot; data-start=&quot;2859&quot;&gt;Examples&lt;/h3&gt;
&lt;ul data-end=&quot;2916&quot; data-start=&quot;2873&quot;&gt;&lt;li data-end=&quot;2891&quot; data-section-id=&quot;560l6h&quot; data-start=&quot;2873&quot;&gt;
Voice Assistants
&lt;/li&gt;&lt;li data-end=&quot;2916&quot; data-section-id=&quot;2r7je8&quot; data-start=&quot;2892&quot;&gt;
Speech-to-Text Systems
&lt;/li&gt;&lt;/ul&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;2966&quot; data-start=&quot;2918&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Voice Input → ML Model → Text Output&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;h3 data-end=&quot;2987&quot; data-section-id=&quot;60v84j&quot; data-start=&quot;2968&quot;&gt;Real-world Uses&lt;/h3&gt;
&lt;ul data-end=&quot;3041&quot; data-start=&quot;2989&quot;&gt;&lt;li data-end=&quot;3009&quot; data-section-id=&quot;1jpld8u&quot; data-start=&quot;2989&quot;&gt;
Virtual Assistants
&lt;/li&gt;&lt;li data-end=&quot;3026&quot; data-section-id=&quot;1t7vutm&quot; data-start=&quot;3010&quot;&gt;
Voice Commands
&lt;/li&gt;&lt;li data-end=&quot;3041&quot; data-section-id=&quot;afrmia&quot; data-start=&quot;3027&quot;&gt;
Call Centers
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;3046&quot; data-start=&quot;3043&quot; /&gt;
&lt;h2 data-end=&quot;3074&quot; data-section-id=&quot;m9b7b5&quot; data-start=&quot;3048&quot;&gt;3. Language Translation&lt;/h2&gt;
&lt;p data-end=&quot;3124&quot; data-start=&quot;3076&quot;&gt;ML translates text from one language to another.&lt;/p&gt;
&lt;h3 data-end=&quot;3138&quot; data-section-id=&quot;1wxceu5&quot; data-start=&quot;3126&quot;&gt;Examples&lt;/h3&gt;
&lt;ul data-end=&quot;3175&quot; data-start=&quot;3140&quot;&gt;&lt;li data-end=&quot;3157&quot; data-section-id=&quot;12koej9&quot; data-start=&quot;3140&quot;&gt;
English → Tamil
&lt;/li&gt;&lt;li data-end=&quot;3175&quot; data-section-id=&quot;121357u&quot; data-start=&quot;3158&quot;&gt;
English → Hindi
&lt;/li&gt;&lt;/ul&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;3265&quot; data-start=&quot;3177&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Input Text&lt;/span&gt;&lt;br /&gt;&lt;span&gt;     │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;     ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt; ML Translation Model&lt;/span&gt;&lt;br /&gt;&lt;span&gt;     │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;     ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Translated Text&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;h3 data-end=&quot;3286&quot; data-section-id=&quot;60v84j&quot; data-start=&quot;3267&quot;&gt;Real-world Uses&lt;/h3&gt;
&lt;ul data-end=&quot;3338&quot; data-start=&quot;3288&quot;&gt;&lt;li data-end=&quot;3316&quot; data-section-id=&quot;ubd179&quot; data-start=&quot;3288&quot;&gt;
Multilingual Communication
&lt;/li&gt;&lt;li data-end=&quot;3328&quot; data-section-id=&quot;n0dh7m&quot; data-start=&quot;3317&quot;&gt;
Education
&lt;/li&gt;&lt;li data-end=&quot;3338&quot; data-section-id=&quot;13b8her&quot; data-start=&quot;3329&quot;&gt;
Tourism
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;3343&quot; data-start=&quot;3340&quot; /&gt;
&lt;h2 data-end=&quot;3370&quot; data-section-id=&quot;1fr1nvu&quot; data-start=&quot;3345&quot;&gt;4. Recommender Systems&lt;/h2&gt;
&lt;p data-end=&quot;3461&quot; data-start=&quot;3372&quot;&gt;Machine learning recommends products, movies, books, and music based on user preferences.&lt;/p&gt;
&lt;h3 data-end=&quot;3475&quot; data-section-id=&quot;1wxceu5&quot; data-start=&quot;3463&quot;&gt;Examples&lt;/h3&gt;
&lt;ul data-end=&quot;3547&quot; data-start=&quot;3477&quot;&gt;&lt;li data-end=&quot;3500&quot; data-section-id=&quot;ig2eui&quot; data-start=&quot;3477&quot;&gt;
Movie Recommendations
&lt;/li&gt;&lt;li data-end=&quot;3527&quot; data-section-id=&quot;1n0ptae&quot; data-start=&quot;3501&quot;&gt;
Shopping Recommendations
&lt;/li&gt;&lt;li data-end=&quot;3547&quot; data-section-id=&quot;1fqxjo6&quot; data-start=&quot;3528&quot;&gt;
Music Suggestions
&lt;/li&gt;&lt;/ul&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;3648&quot; data-start=&quot;3549&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;User History&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt; ML Recommendation Engine&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt; Suggested Items&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;h3 data-end=&quot;3669&quot; data-section-id=&quot;60v84j&quot; data-start=&quot;3650&quot;&gt;Real-world Uses&lt;/h3&gt;
&lt;ul data-end=&quot;3721&quot; data-start=&quot;3671&quot;&gt;&lt;li data-end=&quot;3688&quot; data-section-id=&quot;yhvcgj&quot; data-start=&quot;3671&quot;&gt;
Online Shopping
&lt;/li&gt;&lt;li data-end=&quot;3706&quot; data-section-id=&quot;1c5tl1&quot; data-start=&quot;3689&quot;&gt;
Video Streaming
&lt;/li&gt;&lt;li data-end=&quot;3721&quot; data-section-id=&quot;1ekksbb&quot; data-start=&quot;3707&quot;&gt;
Social Media
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;3726&quot; data-start=&quot;3723&quot; /&gt;
&lt;h1 data-end=&quot;3760&quot; data-section-id=&quot;9lczba&quot; data-start=&quot;3728&quot;&gt;Advantages of Machine Learning&lt;/h1&gt;
&lt;p data-end=&quot;3789&quot; data-start=&quot;3762&quot;&gt;✅ Automates decision making&lt;/p&gt;
&lt;p data-end=&quot;3822&quot; data-start=&quot;3791&quot;&gt;✅ Handles large amounts of data&lt;/p&gt;
&lt;p data-end=&quot;3853&quot; data-start=&quot;3824&quot;&gt;✅ Improves accuracy over time&lt;/p&gt;
&lt;p data-end=&quot;3882&quot; data-start=&quot;3855&quot;&gt;✅ Discovers hidden patterns&lt;/p&gt;
&lt;p data-end=&quot;3914&quot; data-start=&quot;3884&quot;&gt;✅ Supports intelligent systems&lt;/p&gt;
&lt;hr data-end=&quot;3919&quot; data-start=&quot;3916&quot; /&gt;
&lt;h1 data-end=&quot;3954&quot; data-section-id=&quot;1j3a5mt&quot; data-start=&quot;3921&quot;&gt;Limitations of Machine Learning&lt;/h1&gt;
&lt;p data-end=&quot;3981&quot; data-start=&quot;3956&quot;&gt;❌ Requires large datasets&lt;/p&gt;
&lt;p data-end=&quot;4007&quot; data-start=&quot;3983&quot;&gt;❌ Training may take time&lt;/p&gt;
&lt;p data-end=&quot;4041&quot; data-start=&quot;4009&quot;&gt;❌ Results depend on data quality&lt;/p&gt;
&lt;p data-end=&quot;4077&quot; data-start=&quot;4043&quot;&gt;❌ Can be computationally expensive&lt;/p&gt;
&lt;p data-end=&quot;4117&quot; data-start=&quot;4079&quot;&gt;❌ Models may be difficult to interpret&lt;/p&gt;
&lt;hr data-end=&quot;4122&quot; data-start=&quot;4119&quot; /&gt;
&lt;h1 data-end=&quot;4165&quot; data-section-id=&quot;2smuqn&quot; data-start=&quot;4124&quot;&gt;Python Example: Simple Machine Learning&lt;/h1&gt;
&lt;h3 data-end=&quot;4195&quot; data-section-id=&quot;mejw6s&quot; data-start=&quot;4167&quot;&gt;Predicting Student Marks&lt;/h3&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;4553&quot; data-start=&quot;4197&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;relative h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute inset-x-4 top-12 bottom-4&quot;&gt;&lt;div class=&quot;pointer-events-none sticky z-40 shrink-0 z-1!&quot;&gt;&lt;div class=&quot;sticky bg-token-border-light&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span class=&quot;ͼg&quot;&gt;from&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;sklearn&lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;.&lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;linear_model&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;import&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;LinearRegression&lt;/span&gt;&lt;br /&gt;&lt;span class=&quot;ͼg&quot;&gt;import&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;numpy&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;as&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;np&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span class=&quot;ͼe&quot;&gt;# Training data&lt;/span&gt;&lt;br /&gt;&lt;span class=&quot;ͼm&quot;&gt;hours&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;=&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;np&lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;.&lt;/span&gt;&lt;span&gt;array([&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;1&lt;/span&gt;&lt;span&gt;, &lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;2&lt;/span&gt;&lt;span&gt;, &lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;3&lt;/span&gt;&lt;span&gt;, &lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;4&lt;/span&gt;&lt;span&gt;, &lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;5&lt;/span&gt;&lt;span&gt;])&lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;.&lt;/span&gt;&lt;span&gt;reshape(&lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;-&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;1&lt;/span&gt;&lt;span&gt;, &lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;1&lt;/span&gt;&lt;span&gt;)&lt;/span&gt;&lt;br /&gt;&lt;span class=&quot;ͼm&quot;&gt;marks&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;=&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;np&lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;.&lt;/span&gt;&lt;span&gt;array([&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;20&lt;/span&gt;&lt;span&gt;, &lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;40&lt;/span&gt;&lt;span&gt;, &lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;50&lt;/span&gt;&lt;span&gt;, &lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;60&lt;/span&gt;&lt;span&gt;, &lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;80&lt;/span&gt;&lt;span&gt;])&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span class=&quot;ͼe&quot;&gt;# Create model&lt;/span&gt;&lt;br /&gt;&lt;span class=&quot;ͼm&quot;&gt;model&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;=&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;LinearRegression&lt;/span&gt;&lt;span&gt;()&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span class=&quot;ͼe&quot;&gt;# Train model&lt;/span&gt;&lt;br /&gt;&lt;span class=&quot;ͼm&quot;&gt;model&lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;.&lt;/span&gt;&lt;span&gt;fit(&lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;hours&lt;/span&gt;&lt;span&gt;, &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;marks&lt;/span&gt;&lt;span&gt;)&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span class=&quot;ͼe&quot;&gt;# Predict&lt;/span&gt;&lt;br /&gt;&lt;span class=&quot;ͼm&quot;&gt;prediction&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;=&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;model&lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;.&lt;/span&gt;&lt;span&gt;predict([[&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;6&lt;/span&gt;&lt;span&gt;]])&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span class=&quot;ͼm&quot;&gt;print&lt;/span&gt;&lt;span&gt;(&lt;/span&gt;&lt;span class=&quot;ͼk&quot;&gt;&quot;Predicted Marks:&quot;&lt;/span&gt;&lt;span&gt;, &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;prediction&lt;/span&gt;&lt;span&gt;[&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;0&lt;/span&gt;&lt;span&gt;])&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;h3 data-end=&quot;4565&quot; data-section-id=&quot;ho23qx&quot; data-start=&quot;4555&quot;&gt;Output&lt;/h3&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;4600&quot; data-start=&quot;4567&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Predicted Marks: 92.0&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;hr data-end=&quot;4605&quot; data-start=&quot;4602&quot; /&gt;
&lt;h1 data-end=&quot;4628&quot; data-section-id=&quot;199a3eb&quot; data-start=&quot;4607&quot;&gt;Laboratory Exercise&lt;/h1&gt;
&lt;h3 data-end=&quot;4637&quot; data-section-id=&quot;1xxfcv7&quot; data-start=&quot;4630&quot;&gt;Aim&lt;/h3&gt;
&lt;p data-end=&quot;4714&quot; data-start=&quot;4638&quot;&gt;To understand the basic concept of Machine Learning using Linear Regression.&lt;/p&gt;
&lt;h3 data-end=&quot;4729&quot; data-section-id=&quot;cqth9n&quot; data-start=&quot;4716&quot;&gt;Procedure&lt;/h3&gt;
&lt;ol data-end=&quot;4860&quot; data-start=&quot;4731&quot;&gt;&lt;li data-end=&quot;4760&quot; data-section-id=&quot;ywkdo9&quot; data-start=&quot;4731&quot;&gt;
Import required libraries.
&lt;/li&gt;&lt;li data-end=&quot;4785&quot; data-section-id=&quot;160qkw3&quot; data-start=&quot;4761&quot;&gt;
Create training data.
&lt;/li&gt;&lt;li data-end=&quot;4805&quot; data-section-id=&quot;10wgpts&quot; data-start=&quot;4786&quot;&gt;
Train the model.
&lt;/li&gt;&lt;li data-end=&quot;4837&quot; data-section-id=&quot;g1nc84&quot; data-start=&quot;4806&quot;&gt;
Predict output for new data.
&lt;/li&gt;&lt;li data-end=&quot;4860&quot; data-section-id=&quot;11teb2y&quot; data-start=&quot;4838&quot;&gt;
Display the result.
&lt;/li&gt;&lt;/ol&gt;
&lt;h3 data-end=&quot;4881&quot; data-section-id=&quot;15ghv3l&quot; data-start=&quot;4862&quot;&gt;Expected Result&lt;/h3&gt;
&lt;p data-end=&quot;4986&quot; data-start=&quot;4883&quot;&gt;The machine learning model successfully learns from the data and predicts marks for unseen study hours.&lt;/p&gt;
&lt;hr data-end=&quot;4991&quot; data-start=&quot;4988&quot; /&gt;
&lt;h1 data-end=&quot;5009&quot; data-section-id=&quot;2rjcyb&quot; data-start=&quot;4993&quot;&gt;Viva Questions&lt;/h1&gt;
&lt;ol data-end=&quot;5365&quot; data-start=&quot;5011&quot;&gt;&lt;li data-end=&quot;5039&quot; data-section-id=&quot;txybtw&quot; data-start=&quot;5011&quot;&gt;
What is Machine Learning?
&lt;/li&gt;&lt;li data-end=&quot;5105&quot; data-section-id=&quot;pzr9w4&quot; data-start=&quot;5040&quot;&gt;
How does Machine Learning differ from traditional programming?
&lt;/li&gt;&lt;li data-end=&quot;5145&quot; data-section-id=&quot;19y3hwk&quot; data-start=&quot;5106&quot;&gt;
What are the three main types of ML?
&lt;/li&gt;&lt;li data-end=&quot;5171&quot; data-section-id=&quot;1rs25gg&quot; data-start=&quot;5146&quot;&gt;
What is training data?
&lt;/li&gt;&lt;li data-end=&quot;5202&quot; data-section-id=&quot;fli9sa&quot; data-start=&quot;5172&quot;&gt;
What is a prediction model?
&lt;/li&gt;&lt;li data-end=&quot;5233&quot; data-section-id=&quot;fy5pfy&quot; data-start=&quot;5203&quot;&gt;
Define supervised learning.
&lt;/li&gt;&lt;li data-end=&quot;5266&quot; data-section-id=&quot;12wskwk&quot; data-start=&quot;5234&quot;&gt;
Define unsupervised learning.
&lt;/li&gt;&lt;li data-end=&quot;5301&quot; data-section-id=&quot;3igwdz&quot; data-start=&quot;5267&quot;&gt;
What is reinforcement learning?
&lt;/li&gt;&lt;li data-end=&quot;5331&quot; data-section-id=&quot;jtkigt&quot; data-start=&quot;5302&quot;&gt;
What is image recognition?
&lt;/li&gt;&lt;li data-end=&quot;5365&quot; data-section-id=&quot;153k3to&quot; data-start=&quot;5332&quot;&gt;
What are recommender systems?
&lt;/li&gt;&lt;/ol&gt;
&lt;hr data-end=&quot;5370&quot; data-start=&quot;5367&quot; /&gt;
&lt;h1 data-end=&quot;5406&quot; data-section-id=&quot;yo8r8t&quot; data-start=&quot;5372&quot;&gt;Multiple Choice Questions (MCQs)&lt;/h1&gt;
&lt;h3 data-end=&quot;5447&quot; data-section-id=&quot;dp987a&quot; data-start=&quot;5408&quot;&gt;1. Machine Learning is a subset of:&lt;/h3&gt;
&lt;p data-end=&quot;5529&quot; data-start=&quot;5449&quot;&gt;A) Networking&lt;br data-end=&quot;5465&quot; data-start=&quot;5462&quot; /&gt;
B) Artificial Intelligence&lt;br data-end=&quot;5494&quot; data-start=&quot;5491&quot; /&gt;
C) Database&lt;br data-end=&quot;5508&quot; data-start=&quot;5505&quot; /&gt;
D) Operating System&lt;/p&gt;
&lt;p data-end=&quot;5544&quot; data-start=&quot;5531&quot;&gt;&lt;b data-end=&quot;5542&quot; data-start=&quot;5531&quot;&gt;Answer:&lt;/b&gt; B&lt;/p&gt;
&lt;hr data-end=&quot;5549&quot; data-start=&quot;5546&quot; /&gt;
&lt;h3 data-end=&quot;5596&quot; data-section-id=&quot;14qdcur&quot; data-start=&quot;5551&quot;&gt;2. Which learning type uses labeled data?&lt;/h3&gt;
&lt;p data-end=&quot;5696&quot; data-start=&quot;5598&quot;&gt;A) Reinforcement Learning&lt;br data-end=&quot;5626&quot; data-start=&quot;5623&quot; /&gt;
B) Unsupervised Learning&lt;br data-end=&quot;5653&quot; data-start=&quot;5650&quot; /&gt;
C) Supervised Learning&lt;br data-end=&quot;5678&quot; data-start=&quot;5675&quot; /&gt;
D) Deep Learning&lt;/p&gt;
&lt;p data-end=&quot;5711&quot; data-start=&quot;5698&quot;&gt;&lt;b data-end=&quot;5709&quot; data-start=&quot;5698&quot;&gt;Answer:&lt;/b&gt; C&lt;/p&gt;
&lt;hr data-end=&quot;5716&quot; data-start=&quot;5713&quot; /&gt;
&lt;h3 data-end=&quot;5770&quot; data-section-id=&quot;vgttrq&quot; data-start=&quot;5718&quot;&gt;3. Which application recommends movies to users?&lt;/h3&gt;
&lt;p data-end=&quot;5864&quot; data-start=&quot;5772&quot;&gt;A) Image Recognition&lt;br data-end=&quot;5795&quot; data-start=&quot;5792&quot; /&gt;
B) Recommender System&lt;br data-end=&quot;5819&quot; data-start=&quot;5816&quot; /&gt;
C) Speech Processing&lt;br data-end=&quot;5842&quot; data-start=&quot;5839&quot; /&gt;
D) Computer Graphics&lt;/p&gt;
&lt;p data-end=&quot;5879&quot; data-start=&quot;5866&quot;&gt;&lt;b data-end=&quot;5877&quot; data-start=&quot;5866&quot;&gt;Answer:&lt;/b&gt; B&lt;/p&gt;
&lt;hr data-end=&quot;5884&quot; data-start=&quot;5881&quot; /&gt;
&lt;h3 data-end=&quot;5927&quot; data-section-id=&quot;9krgd0&quot; data-start=&quot;5886&quot;&gt;4. Face Recognition is an example of:&lt;/h3&gt;
&lt;p data-end=&quot;6013&quot; data-start=&quot;5929&quot;&gt;A) Image Recognition&lt;br data-end=&quot;5952&quot; data-start=&quot;5949&quot; /&gt;
B) Networking&lt;br data-end=&quot;5968&quot; data-start=&quot;5965&quot; /&gt;
C) Database Management&lt;br data-end=&quot;5993&quot; data-start=&quot;5990&quot; /&gt;
D) Compiler Design&lt;/p&gt;
&lt;p data-end=&quot;6028&quot; data-start=&quot;6015&quot;&gt;&lt;b data-end=&quot;6026&quot; data-start=&quot;6015&quot;&gt;Answer:&lt;/b&gt; A&lt;/p&gt;
&lt;hr data-end=&quot;6033&quot; data-start=&quot;6030&quot; /&gt;
&lt;h3 data-end=&quot;6099&quot; data-section-id=&quot;1n8n421&quot; data-start=&quot;6035&quot;&gt;5. Which Python library is widely used for Machine Learning?&lt;/h3&gt;
&lt;p data-end=&quot;6154&quot; data-start=&quot;6101&quot;&gt;A) NumPy&lt;br data-end=&quot;6112&quot; data-start=&quot;6109&quot; /&gt;
B) Pandas&lt;br data-end=&quot;6124&quot; data-start=&quot;6121&quot; /&gt;
C) Scikit-Learn&lt;br data-end=&quot;6142&quot; data-start=&quot;6139&quot; /&gt;
D) Tkinter&lt;/p&gt;
&lt;p data-end=&quot;6169&quot; data-start=&quot;6156&quot;&gt;&lt;b data-end=&quot;6167&quot; data-start=&quot;6156&quot;&gt;Answer:&lt;/b&gt; C&lt;/p&gt;
&lt;hr data-end=&quot;6174&quot; data-start=&quot;6171&quot; /&gt;
&lt;h2 data-end=&quot;6186&quot; data-section-id=&quot;1k5q749&quot; data-start=&quot;6176&quot;&gt;Summary&lt;/h2&gt;
&lt;p data-end=&quot;6524&quot; data-is-last-node=&quot;&quot; data-is-only-node=&quot;&quot; data-start=&quot;6188&quot;&gt;Machine Learning is a powerful AI technique that enables computers to learn from data and make intelligent decisions. It is widely used in &lt;b data-end=&quot;6414&quot; data-start=&quot;6327&quot;&gt;Image Recognition, Speech Processing, Language Translation, and Recommender Systems&lt;/b&gt;. By learning patterns from historical data, ML models can predict future outcomes and automate complex tasks.&lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;z-0 flex min-h-[46px] justify-start&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/section&gt;&lt;/div&gt;&lt;div data-is-intersecting=&quot;true&quot; data-turn-id-container=&quot;c4f065fd-aeaf-422e-a6ce-d00992c6a3dd&quot;&gt;&lt;section class=&quot;text-token-text-primary w-full focus:outline-none has-data-writing-block:pointer-events-none [&amp;amp;:has([data-writing-block])&amp;gt;*]:pointer-events-auto R6Vx5W_threadScrollVars scroll-mb-[calc(var(--scroll-root-safe-area-inset-bottom,0px)+var(--thread-response-height))] scroll-mt-(--header-height)&quot; data-testid=&quot;conversation-turn-3&quot; data-turn-id-container=&quot;c4f065fd-aeaf-422e-a6ce-d00992c6a3dd&quot; data-turn-id=&quot;c4f065fd-aeaf-422e-a6ce-d00992c6a3dd&quot; data-turn=&quot;user&quot; dir=&quot;auto&quot;&gt;&lt;div class=&quot;text-base my-auto mx-auto pt-12 [--thread-content-margin:var(--thread-content-margin-xs,calc(var(--spacing)*4))] @w-sm/main:[--thread-content-margin:var(--thread-content-margin-sm,calc(var(--spacing)*6))] @w-lg/main:[--thread-content-margin:var(--thread-content-margin-lg,calc(var(--spacing)*16))] px-(--thread-content-margin)&quot;&gt;&lt;div class=&quot;[--thread-content-max-width:40rem] @w-lg/main:[--thread-content-max-width:48rem] mx-auto max-w-(--thread-content-max-width) flex-1 group/turn-messages focus-visible:outline-hidden relative flex w-full min-w-0 flex-col&quot; data-conversation-screenshot-content=&quot;&quot;&gt;&lt;div class=&quot;flex max-w-full flex-col gap-4 grow&quot;&gt;&lt;div class=&quot;min-h-8 text-message relative flex w-full flex-col items-end gap-2 text-start break-words whitespace-normal outline-none keyboard-focused:focus-ring [.text-message+&amp;amp;]:mt-1&quot; data-message-author-role=&quot;user&quot; data-message-id=&quot;c4f065fd-aeaf-422e-a6ce-d00992c6a3dd&quot; dir=&quot;auto&quot;&gt;&lt;div class=&quot;flex w-full flex-col gap-1 empty:hidden items-end rtl:items-start&quot;&gt;&lt;div class=&quot;user-message-bubble-color corner-superellipse/0.98 relative min-w-0 overflow-hidden rounded-[22px] px-4 py-2.5 leading-6 max-w-(--user-chat-width,70%)&quot;&gt;&lt;div class=&quot;max-w-full min-w-0 [overflow-wrap:anywhere] whitespace-pre-wrap&quot;&gt;/need above content given you more but i want from prompt &lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;z-0 flex justify-end&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/section&gt;&lt;/div&gt;&lt;div data-is-intersecting=&quot;true&quot; data-turn-id-container=&quot;request-6a30dc07-7be4-83ee-be0c-1a7e4d4eff80-0&quot;&gt;&lt;section class=&quot;text-token-text-primary w-full focus:outline-none has-data-writing-block:pointer-events-none [&amp;amp;:has([data-writing-block])&amp;gt;*]:pointer-events-auto R6Vx5W_threadScrollVars scroll-mb-[calc(var(--scroll-root-safe-area-inset-bottom,0px)+var(--thread-response-height))] scroll-mt-[calc(var(--header-height)+min(200px,max(70px,20svh)))]&quot; data-testid=&quot;conversation-turn-4&quot; data-turn-id-container=&quot;request-6a30dc07-7be4-83ee-be0c-1a7e4d4eff80-0&quot; data-turn-id=&quot;request-6a30dc07-7be4-83ee-be0c-1a7e4d4eff80-0&quot; data-turn=&quot;assistant&quot; dir=&quot;auto&quot;&gt;&lt;div class=&quot;text-base my-auto mx-auto [--thread-content-margin:var(--thread-content-margin-xs,calc(var(--spacing)*4))] @w-sm/main:[--thread-content-margin:var(--thread-content-margin-sm,calc(var(--spacing)*6))] @w-lg/main:[--thread-content-margin:var(--thread-content-margin-lg,calc(var(--spacing)*16))] px-(--thread-content-margin)&quot;&gt;&lt;div class=&quot;[--thread-content-max-width:40rem] @w-lg/main:[--thread-content-max-width:48rem] mx-auto max-w-(--thread-content-max-width) flex-1 group/turn-messages focus-visible:outline-hidden relative flex w-full min-w-0 flex-col agent-turn&quot; data-conversation-screenshot-content=&quot;&quot;&gt;&lt;div class=&quot;flex max-w-full flex-col gap-4 grow&quot;&gt;&lt;div class=&quot;min-h-8 text-message relative flex w-full flex-col items-end gap-2 text-start break-words whitespace-normal outline-none keyboard-focused:focus-ring [.text-message+&amp;amp;]:mt-1&quot; data-message-author-role=&quot;assistant&quot; data-message-id=&quot;f0ac742f-0d7c-4ba8-8155-a2feec4f1948&quot; data-message-model-slug=&quot;gpt-5-5&quot; dir=&quot;auto&quot;&gt;&lt;div class=&quot;flex w-full flex-col gap-1 empty:hidden&quot;&gt;&lt;div class=&quot;markdown prose dark:prose-invert wrap-break-word w-full light markdown-new-styling&quot;&gt;&lt;p data-end=&quot;98&quot; data-start=&quot;0&quot;&gt;If you want a &lt;b data-end=&quot;24&quot; data-start=&quot;14&quot;&gt;prompt&lt;/b&gt; that can generate the complete teaching material automatically, use this:&lt;/p&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;2201&quot; data-start=&quot;100&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;/teachme Introduction to Machine Learning&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span&gt;Act as an Expert Computer Science Professor teaching Postgraduate (PG) students.&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span&gt;Topic:&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Introduction to Machine Learning&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span&gt;Content to Cover:&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span&gt;Machine Learning is a technique that allows computers to learn from data and make decisions without explicit programming. It works by identifying patterns in data and using them to make predictions.&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span&gt;Applications:&lt;/span&gt;&lt;br /&gt;&lt;span&gt;1. Image Recognition&lt;/span&gt;&lt;br /&gt;&lt;span&gt;2. Speech Processing&lt;/span&gt;&lt;br /&gt;&lt;span&gt;3. Language Translation&lt;/span&gt;&lt;br /&gt;&lt;span&gt;4. Recommender Systems&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span&gt;Teaching Requirements:&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span&gt;1. Start from basic concepts and progress to advanced PG-level concepts.&lt;/span&gt;&lt;br /&gt;&lt;span&gt;2. Use simple and easy-to-understand language.&lt;/span&gt;&lt;br /&gt;&lt;span&gt;3. Explain every concept with real-world examples.&lt;/span&gt;&lt;br /&gt;&lt;span&gt;4. Include text-based diagrams and flowcharts.&lt;/span&gt;&lt;br /&gt;&lt;span&gt;5. Explain the working process step-by-step.&lt;/span&gt;&lt;br /&gt;&lt;span&gt;6. Compare Traditional Programming vs Machine Learning.&lt;/span&gt;&lt;br /&gt;&lt;span&gt;7. Explain Types of Machine Learning:&lt;/span&gt;&lt;br /&gt;&lt;span&gt;   - Supervised Learning&lt;/span&gt;&lt;br /&gt;&lt;span&gt;   - Unsupervised Learning&lt;/span&gt;&lt;br /&gt;&lt;span&gt;   - Reinforcement Learning&lt;/span&gt;&lt;br /&gt;&lt;span&gt;8. Discuss advantages and limitations.&lt;/span&gt;&lt;br /&gt;&lt;span&gt;9. Explain applications in detail with case studies.&lt;/span&gt;&lt;br /&gt;&lt;span&gt;10. Include Python implementation examples using Scikit-Learn.&lt;/span&gt;&lt;br /&gt;&lt;span&gt;11. Show complete code with comments and expected output.&lt;/span&gt;&lt;br /&gt;&lt;span&gt;12. Explain each line of code.&lt;/span&gt;&lt;br /&gt;&lt;span&gt;13. Include laboratory exercises:&lt;/span&gt;&lt;br /&gt;&lt;span&gt;    - Aim&lt;/span&gt;&lt;br /&gt;&lt;span&gt;    - Theory&lt;/span&gt;&lt;br /&gt;&lt;span&gt;    - Algorithm&lt;/span&gt;&lt;br /&gt;&lt;span&gt;    - Procedure&lt;/span&gt;&lt;br /&gt;&lt;span&gt;    - Python Program&lt;/span&gt;&lt;br /&gt;&lt;span&gt;    - Output&lt;/span&gt;&lt;br /&gt;&lt;span&gt;    - Result&lt;/span&gt;&lt;br /&gt;&lt;span&gt;14. Include viva-voce questions and answers.&lt;/span&gt;&lt;br /&gt;&lt;span&gt;15. Include 20 multiple-choice questions with answers.&lt;/span&gt;&lt;br /&gt;&lt;span&gt;16. Include short-answer questions.&lt;/span&gt;&lt;br /&gt;&lt;span&gt;17. Include long-answer university examination questions.&lt;/span&gt;&lt;br /&gt;&lt;span&gt;18. Include Bloom&#39;s Taxonomy-based questions.&lt;/span&gt;&lt;br /&gt;&lt;span&gt;19. Include mini-project ideas related to Machine Learning.&lt;/span&gt;&lt;br /&gt;&lt;span&gt;20. Include interview questions and answers.&lt;/span&gt;&lt;br /&gt;&lt;span&gt;21. Provide a summary and key takeaways.&lt;/span&gt;&lt;br /&gt;&lt;span&gt;22. Format the content as lecture notes suitable for M.Sc. Computer Science / MCA students.&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span&gt;Output Format:&lt;/span&gt;&lt;br /&gt;&lt;span&gt;- Unit Introduction&lt;/span&gt;&lt;br /&gt;&lt;span&gt;- Learning Objectives&lt;/span&gt;&lt;br /&gt;&lt;span&gt;- Detailed Theory&lt;/span&gt;&lt;br /&gt;&lt;span&gt;- Diagrams&lt;/span&gt;&lt;br /&gt;&lt;span&gt;- Examples&lt;/span&gt;&lt;br /&gt;&lt;span&gt;- Python Programs&lt;/span&gt;&lt;br /&gt;&lt;span&gt;- Laboratory Exercises&lt;/span&gt;&lt;br /&gt;&lt;span&gt;- Viva Questions&lt;/span&gt;&lt;br /&gt;&lt;span&gt;- MCQs&lt;/span&gt;&lt;br /&gt;&lt;span&gt;- University Questions&lt;/span&gt;&lt;br /&gt;&lt;span&gt;- Interview Questions&lt;/span&gt;&lt;br /&gt;&lt;span&gt;- Summary&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span&gt;Generate comprehensive study material of at least 15–20 pages.&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;2315&quot; data-start=&quot;2203&quot;&gt;This prompt can be reused for any topic by replacing &lt;b data-end=&quot;2294&quot; data-start=&quot;2256&quot;&gt;&quot;Introduction to Machine Learning&quot;&lt;/b&gt; with topics such as:&lt;/p&gt;
&lt;ul data-end=&quot;2561&quot; data-start=&quot;2316&quot;&gt;&lt;li data-end=&quot;2336&quot; data-section-id=&quot;vd6mok&quot; data-start=&quot;2316&quot;&gt;
Data Preprocessing
&lt;/li&gt;&lt;li data-end=&quot;2364&quot; data-section-id=&quot;1lefssi&quot; data-start=&quot;2337&quot;&gt;
Classification Algorithms
&lt;/li&gt;&lt;li data-end=&quot;2388&quot; data-section-id=&quot;kt5j3h&quot; data-start=&quot;2365&quot;&gt;
Clustering Techniques
&lt;/li&gt;&lt;li data-end=&quot;2405&quot; data-section-id=&quot;cr6431&quot; data-start=&quot;2389&quot;&gt;
Decision Trees
&lt;/li&gt;&lt;li data-end=&quot;2423&quot; data-section-id=&quot;1l7m38k&quot; data-start=&quot;2406&quot;&gt;
Neural Networks
&lt;/li&gt;&lt;li data-end=&quot;2439&quot; data-section-id=&quot;1anlmtk&quot; data-start=&quot;2424&quot;&gt;
Deep Learning
&lt;/li&gt;&lt;li data-end=&quot;2469&quot; data-section-id=&quot;1p72jhc&quot; data-start=&quot;2440&quot;&gt;
Natural Language Processing
&lt;/li&gt;&lt;li data-end=&quot;2496&quot; data-section-id=&quot;8gmtq8&quot; data-start=&quot;2470&quot;&gt;
Data Mining Using Python
&lt;/li&gt;&lt;li data-end=&quot;2521&quot; data-section-id=&quot;psxi7b&quot; data-start=&quot;2497&quot;&gt;
Scikit-Learn Libraries
&lt;/li&gt;&lt;li data-end=&quot;2561&quot; data-section-id=&quot;lfa4fz&quot; data-start=&quot;2522&quot;&gt;
Pandas and NumPy for Machine Learning
&lt;/li&gt;&lt;/ul&gt;
&lt;p data-end=&quot;2689&quot; data-is-last-node=&quot;&quot; data-is-only-node=&quot;&quot; data-start=&quot;2563&quot;&gt;and it will generate PG-level lecture notes, lab exercises, code, viva questions, and exam preparation material automatically.&lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;z-0 flex min-h-[46px] justify-start&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/section&gt;&lt;/div&gt;&lt;div data-is-intersecting=&quot;true&quot; data-turn-id-container=&quot;3e779f74-4a13-4880-a5af-48f436b73e71&quot;&gt;&lt;section class=&quot;text-token-text-primary w-full focus:outline-none has-data-writing-block:pointer-events-none [&amp;amp;:has([data-writing-block])&amp;gt;*]:pointer-events-auto R6Vx5W_threadScrollVars scroll-mb-[calc(var(--scroll-root-safe-area-inset-bottom,0px)+var(--thread-response-height))] scroll-mt-(--header-height)&quot; data-testid=&quot;conversation-turn-5&quot; data-turn-id-container=&quot;3e779f74-4a13-4880-a5af-48f436b73e71&quot; data-turn-id=&quot;3e779f74-4a13-4880-a5af-48f436b73e71&quot; data-turn=&quot;user&quot; dir=&quot;auto&quot;&gt;&lt;div class=&quot;text-base my-auto mx-auto pt-12 [--thread-content-margin:var(--thread-content-margin-xs,calc(var(--spacing)*4))] @w-sm/main:[--thread-content-margin:var(--thread-content-margin-sm,calc(var(--spacing)*6))] @w-lg/main:[--thread-content-margin:var(--thread-content-margin-lg,calc(var(--spacing)*16))] px-(--thread-content-margin)&quot;&gt;&lt;div class=&quot;[--thread-content-max-width:40rem] @w-lg/main:[--thread-content-max-width:48rem] mx-auto max-w-(--thread-content-max-width) flex-1 group/turn-messages focus-visible:outline-hidden relative flex w-full min-w-0 flex-col&quot; data-conversation-screenshot-content=&quot;&quot;&gt;&lt;div class=&quot;flex max-w-full flex-col gap-4 grow&quot;&gt;&lt;div class=&quot;min-h-8 text-message relative flex w-full flex-col items-end gap-2 text-start break-words whitespace-normal outline-none keyboard-focused:focus-ring [.text-message+&amp;amp;]:mt-1&quot; data-message-author-role=&quot;user&quot; data-message-id=&quot;3e779f74-4a13-4880-a5af-48f436b73e71&quot; dir=&quot;auto&quot;&gt;&lt;div class=&quot;flex w-full flex-col gap-1 empty:hidden items-end rtl:items-start&quot;&gt;&lt;div class=&quot;user-message-bubble-color corner-superellipse/0.98 relative min-w-0 overflow-hidden rounded-[22px] px-4 py-2.5 leading-6 max-w-(--user-chat-width,70%)&quot;&gt;&lt;div class=&quot;max-w-full min-w-0 [overflow-wrap:anywhere] whitespace-pre-wrap&quot;&gt;/teachme  Components of Learning from machine learning Use simple and easy-to-understand language.  &lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;z-0 flex justify-end&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/section&gt;&lt;/div&gt;&lt;div data-is-intersecting=&quot;true&quot; data-turn-id-container=&quot;request-6a30dc07-7be4-83ee-be0c-1a7e4d4eff80-1&quot;&gt;&lt;section class=&quot;text-token-text-primary w-full focus:outline-none has-data-writing-block:pointer-events-none [&amp;amp;:has([data-writing-block])&amp;gt;*]:pointer-events-auto R6Vx5W_threadScrollVars scroll-mb-[calc(var(--scroll-root-safe-area-inset-bottom,0px)+var(--thread-response-height))] scroll-mt-[calc(var(--header-height)+min(200px,max(70px,20svh)))]&quot; data-testid=&quot;conversation-turn-6&quot; data-turn-id-container=&quot;request-6a30dc07-7be4-83ee-be0c-1a7e4d4eff80-1&quot; data-turn-id=&quot;request-6a30dc07-7be4-83ee-be0c-1a7e4d4eff80-1&quot; data-turn=&quot;assistant&quot; dir=&quot;auto&quot;&gt;&lt;div class=&quot;text-base my-auto mx-auto pb-10 [--thread-content-margin:var(--thread-content-margin-xs,calc(var(--spacing)*4))] @w-sm/main:[--thread-content-margin:var(--thread-content-margin-sm,calc(var(--spacing)*6))] @w-lg/main:[--thread-content-margin:var(--thread-content-margin-lg,calc(var(--spacing)*16))] px-(--thread-content-margin)&quot;&gt;&lt;div class=&quot;[--thread-content-max-width:40rem] @w-lg/main:[--thread-content-max-width:48rem] mx-auto max-w-(--thread-content-max-width) flex-1 group/turn-messages focus-visible:outline-hidden relative flex w-full min-w-0 flex-col agent-turn&quot; data-conversation-screenshot-content=&quot;&quot;&gt;&lt;div class=&quot;flex max-w-full flex-col gap-4 grow&quot;&gt;&lt;div class=&quot;min-h-8 text-message relative flex w-full flex-col items-end gap-2 text-start break-words whitespace-normal outline-none keyboard-focused:focus-ring [.text-message+&amp;amp;]:mt-1&quot; data-message-author-role=&quot;assistant&quot; data-message-id=&quot;cbedf410-3fd1-4b40-bc3c-6a8e78835772&quot; data-message-model-slug=&quot;gpt-5-5&quot; data-turn-start-message=&quot;true&quot; dir=&quot;auto&quot; tabindex=&quot;0&quot;&gt;&lt;div class=&quot;flex w-full flex-col gap-1 empty:hidden&quot;&gt;&lt;div class=&quot;markdown prose dark:prose-invert wrap-break-word w-full light markdown-new-styling&quot;&gt;&lt;h1 data-end=&quot;44&quot; data-section-id=&quot;13snstt&quot; data-start=&quot;0&quot;&gt;&lt;span style=&quot;color: #2b00fe;&quot;&gt;Components of Learning in Machine Learning&lt;/span&gt;&lt;/h1&gt;
&lt;h2 data-end=&quot;68&quot; data-section-id=&quot;1scsphp&quot; data-start=&quot;46&quot;&gt;Learning Objectives&lt;/h2&gt;
&lt;p data-end=&quot;122&quot; data-start=&quot;70&quot;&gt;After studying this topic, students will be able to:&lt;/p&gt;
&lt;ul data-end=&quot;330&quot; data-start=&quot;124&quot;&gt;&lt;li data-end=&quot;178&quot; data-section-id=&quot;1eudwp1&quot; data-start=&quot;124&quot;&gt;
Understand the basic components of Machine Learning.
&lt;/li&gt;&lt;li data-end=&quot;220&quot; data-section-id=&quot;kdekj8&quot; data-start=&quot;179&quot;&gt;
Explain how a machine learns from data.
&lt;/li&gt;&lt;li data-end=&quot;281&quot; data-section-id=&quot;oxtl88&quot; data-start=&quot;221&quot;&gt;
Identify the role of data, model, algorithm, and feedback.
&lt;/li&gt;&lt;li data-end=&quot;330&quot; data-section-id=&quot;zsyhsz&quot; data-start=&quot;282&quot;&gt;
Apply the concepts in real-world applications.
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;335&quot; data-start=&quot;332&quot; /&gt;
&lt;h1 data-end=&quot;351&quot; data-section-id=&quot;12q1sue&quot; data-start=&quot;337&quot;&gt;Introduction&lt;/h1&gt;
&lt;p data-end=&quot;486&quot; data-start=&quot;353&quot;&gt;Machine Learning (ML) is a process where computers learn from data and improve their performance without being explicitly programmed.&lt;/p&gt;
&lt;p data-end=&quot;567&quot; data-start=&quot;488&quot;&gt;For a machine to learn effectively, several important components work together.&lt;/p&gt;
&lt;hr data-end=&quot;572&quot; data-start=&quot;569&quot; /&gt;
&lt;h1 data-end=&quot;623&quot; data-section-id=&quot;1iacnoa&quot; data-start=&quot;574&quot;&gt;Main Components of Learning in Machine Learning&lt;/h1&gt;
&lt;h2 data-end=&quot;635&quot; data-section-id=&quot;imf4wa&quot; data-start=&quot;625&quot;&gt;1. Data&lt;/h2&gt;
&lt;p data-end=&quot;680&quot; data-start=&quot;637&quot;&gt;Data is the foundation of Machine Learning.&lt;/p&gt;
&lt;p data-end=&quot;742&quot; data-start=&quot;682&quot;&gt;A machine learns from examples provided in the form of data.&lt;/p&gt;
&lt;h3 data-end=&quot;755&quot; data-section-id=&quot;16zgw4u&quot; data-start=&quot;744&quot;&gt;Example&lt;/h3&gt;
&lt;p data-end=&quot;770&quot; data-start=&quot;757&quot;&gt;Student Data:&lt;/p&gt;
&lt;div class=&quot;TyagGW_tableContainer&quot;&gt;&lt;div class=&quot;group TyagGW_tableWrapper flex flex-col-reverse w-fit&quot; tabindex=&quot;-1&quot;&gt;&lt;table class=&quot;w-fit min-w-(--thread-content-width)&quot; data-end=&quot;863&quot; data-start=&quot;772&quot;&gt;&lt;thead data-end=&quot;795&quot; data-start=&quot;772&quot;&gt;&lt;tr data-end=&quot;795&quot; data-start=&quot;772&quot;&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;786&quot; data-start=&quot;772&quot;&gt;Study Hours&lt;/th&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;795&quot; data-start=&quot;786&quot;&gt;Marks&lt;/th&gt;&lt;/tr&gt;&lt;/thead&gt;&lt;tbody data-end=&quot;863&quot; data-start=&quot;820&quot;&gt;&lt;tr data-end=&quot;830&quot; data-start=&quot;820&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;824&quot; data-start=&quot;820&quot;&gt;2&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;830&quot; data-start=&quot;824&quot;&gt;30&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;841&quot; data-start=&quot;831&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;835&quot; data-start=&quot;831&quot;&gt;4&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;841&quot; data-start=&quot;835&quot;&gt;50&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;852&quot; data-start=&quot;842&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;846&quot; data-start=&quot;842&quot;&gt;6&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;852&quot; data-start=&quot;846&quot;&gt;70&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;863&quot; data-start=&quot;853&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;857&quot; data-start=&quot;853&quot;&gt;8&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;863&quot; data-start=&quot;857&quot;&gt;90&lt;/td&gt;&lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt;&lt;/div&gt;&lt;/div&gt;
&lt;p data-end=&quot;913&quot; data-start=&quot;865&quot;&gt;The machine uses this data to identify patterns.&lt;/p&gt;
&lt;h3 data-end=&quot;936&quot; data-section-id=&quot;1vvfdy7&quot; data-start=&quot;915&quot;&gt;Real-Life Example&lt;/h3&gt;
&lt;ul data-end=&quot;1056&quot; data-start=&quot;938&quot;&gt;&lt;li data-end=&quot;978&quot; data-section-id=&quot;razk9r&quot; data-start=&quot;938&quot;&gt;
Medical records for disease prediction
&lt;/li&gt;&lt;li data-end=&quot;1026&quot; data-section-id=&quot;1l8jkys&quot; data-start=&quot;979&quot;&gt;
Customer purchase history for recommendations
&lt;/li&gt;&lt;li data-end=&quot;1056&quot; data-section-id=&quot;vfblxd&quot; data-start=&quot;1027&quot;&gt;
Images for face recognition
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;1061&quot; data-start=&quot;1058&quot; /&gt;
&lt;h2 data-end=&quot;1077&quot; data-section-id=&quot;161rloe&quot; data-start=&quot;1063&quot;&gt;2. Features&lt;/h2&gt;
&lt;p data-end=&quot;1138&quot; data-start=&quot;1079&quot;&gt;Features are the characteristics or attributes of the data.&lt;/p&gt;
&lt;h3 data-end=&quot;1151&quot; data-section-id=&quot;16zgw4u&quot; data-start=&quot;1140&quot;&gt;Example&lt;/h3&gt;
&lt;p data-end=&quot;1180&quot; data-start=&quot;1153&quot;&gt;For House Price Prediction:&lt;/p&gt;
&lt;div class=&quot;TyagGW_tableContainer&quot;&gt;&lt;div class=&quot;group TyagGW_tableWrapper flex flex-col-reverse w-fit&quot; tabindex=&quot;-1&quot;&gt;&lt;table class=&quot;w-fit min-w-(--thread-content-width)&quot; data-end=&quot;1321&quot; data-start=&quot;1182&quot;&gt;&lt;thead data-end=&quot;1207&quot; data-start=&quot;1182&quot;&gt;&lt;tr data-end=&quot;1207&quot; data-start=&quot;1182&quot;&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;1192&quot; data-start=&quot;1182&quot;&gt;Feature&lt;/th&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;1207&quot; data-start=&quot;1192&quot;&gt;Description&lt;/th&gt;&lt;/tr&gt;&lt;/thead&gt;&lt;tbody data-end=&quot;1321&quot; data-start=&quot;1236&quot;&gt;&lt;tr data-end=&quot;1260&quot; data-start=&quot;1236&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1243&quot; data-start=&quot;1236&quot;&gt;Area&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1260&quot; data-start=&quot;1243&quot;&gt;Size of house&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;1291&quot; data-start=&quot;1261&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1272&quot; data-start=&quot;1261&quot;&gt;Bedrooms&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1291&quot; data-start=&quot;1272&quot;&gt;Number of rooms&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;1321&quot; data-start=&quot;1292&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1303&quot; data-start=&quot;1292&quot;&gt;Location&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1321&quot; data-start=&quot;1303&quot;&gt;Place of house&lt;/td&gt;&lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt;&lt;/div&gt;&lt;/div&gt;
&lt;p data-end=&quot;1372&quot; data-start=&quot;1323&quot;&gt;These features help the machine make predictions.&lt;/p&gt;
&lt;h3 data-end=&quot;1385&quot; data-section-id=&quot;1fz606r&quot; data-start=&quot;1374&quot;&gt;Diagram&lt;/h3&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;1497&quot; data-start=&quot;1387&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;House Data&lt;/span&gt;&lt;br /&gt;&lt;span&gt;     │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;     ├── Area&lt;/span&gt;&lt;br /&gt;&lt;span&gt;     ├── Bedrooms&lt;/span&gt;&lt;br /&gt;&lt;span&gt;     ├── Location&lt;/span&gt;&lt;br /&gt;&lt;span&gt;     ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt; Machine Learning Model&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;hr data-end=&quot;1502&quot; data-start=&quot;1499&quot; /&gt;
&lt;h2 data-end=&quot;1515&quot; data-section-id=&quot;nfs053&quot; data-start=&quot;1504&quot;&gt;3. Model&lt;/h2&gt;
&lt;p data-end=&quot;1578&quot; data-start=&quot;1517&quot;&gt;A model is the mathematical representation learned from data.&lt;/p&gt;
&lt;p data-end=&quot;1642&quot; data-start=&quot;1580&quot;&gt;The model captures relationships and patterns within the data.&lt;/p&gt;
&lt;h3 data-end=&quot;1655&quot; data-section-id=&quot;16zgw4u&quot; data-start=&quot;1644&quot;&gt;Example&lt;/h3&gt;
&lt;p data-end=&quot;1706&quot; data-start=&quot;1657&quot;&gt;If study hours increase, marks may also increase.&lt;/p&gt;
&lt;p data-end=&quot;1725&quot; data-start=&quot;1708&quot;&gt;The model learns:&lt;/p&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;1778&quot; data-start=&quot;1727&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;More Study Hours&lt;/span&gt;&lt;br /&gt;&lt;span&gt;        ↓&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Higher Marks&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;h3 data-end=&quot;1801&quot; data-section-id=&quot;1vvfdy7&quot; data-start=&quot;1780&quot;&gt;Real-Life Example&lt;/h3&gt;
&lt;ul data-end=&quot;1874&quot; data-start=&quot;1803&quot;&gt;&lt;li data-end=&quot;1828&quot; data-section-id=&quot;j8d53j&quot; data-start=&quot;1803&quot;&gt;
Predicting house prices
&lt;/li&gt;&lt;li data-end=&quot;1852&quot; data-section-id=&quot;1egm6n3&quot; data-start=&quot;1829&quot;&gt;
Detecting spam emails
&lt;/li&gt;&lt;li data-end=&quot;1874&quot; data-section-id=&quot;29rvrf&quot; data-start=&quot;1853&quot;&gt;
Forecasting weather
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;1879&quot; data-start=&quot;1876&quot; /&gt;
&lt;h2 data-end=&quot;1905&quot; data-section-id=&quot;9y0lg&quot; data-start=&quot;1881&quot;&gt;4. Learning Algorithm&lt;/h2&gt;
&lt;p data-end=&quot;1968&quot; data-start=&quot;1907&quot;&gt;The learning algorithm is the method used to train the model.&lt;/p&gt;
&lt;p data-end=&quot;2019&quot; data-start=&quot;1970&quot;&gt;It helps the machine discover patterns from data.&lt;/p&gt;
&lt;h3 data-end=&quot;2047&quot; data-section-id=&quot;vtgjt4&quot; data-start=&quot;2021&quot;&gt;Examples of Algorithms&lt;/h3&gt;
&lt;ul data-end=&quot;2130&quot; data-start=&quot;2049&quot;&gt;&lt;li data-end=&quot;2068&quot; data-section-id=&quot;1xw6u3e&quot; data-start=&quot;2049&quot;&gt;
Linear Regression
&lt;/li&gt;&lt;li data-end=&quot;2084&quot; data-section-id=&quot;sd9f32&quot; data-start=&quot;2069&quot;&gt;
Decision Tree
&lt;/li&gt;&lt;li data-end=&quot;2112&quot; data-section-id=&quot;1wvpvmn&quot; data-start=&quot;2085&quot;&gt;
K-Nearest Neighbors (KNN)
&lt;/li&gt;&lt;li data-end=&quot;2130&quot; data-section-id=&quot;1l7m38k&quot; data-start=&quot;2113&quot;&gt;
Neural Networks
&lt;/li&gt;&lt;/ul&gt;
&lt;h3 data-end=&quot;2143&quot; data-section-id=&quot;1fz606r&quot; data-start=&quot;2132&quot;&gt;Diagram&lt;/h3&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;2235&quot; data-start=&quot;2145&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Training Data&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Learning Algorithm&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Trained Model&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;hr data-end=&quot;2240&quot; data-start=&quot;2237&quot; /&gt;
&lt;h2 data-end=&quot;2256&quot; data-section-id=&quot;o5jb2&quot; data-start=&quot;2242&quot;&gt;5. Training&lt;/h2&gt;
&lt;p data-end=&quot;2315&quot; data-start=&quot;2258&quot;&gt;Training is the process of teaching the model using data.&lt;/p&gt;
&lt;p data-end=&quot;2333&quot; data-start=&quot;2317&quot;&gt;During training:&lt;/p&gt;
&lt;ul data-end=&quot;2409&quot; data-start=&quot;2335&quot;&gt;&lt;li data-end=&quot;2354&quot; data-section-id=&quot;6k213v&quot; data-start=&quot;2335&quot;&gt;
Data is provided.
&lt;/li&gt;&lt;li data-end=&quot;2381&quot; data-section-id=&quot;121kblq&quot; data-start=&quot;2355&quot;&gt;
Patterns are identified.
&lt;/li&gt;&lt;li data-end=&quot;2409&quot; data-section-id=&quot;jbjhq7&quot; data-start=&quot;2382&quot;&gt;
The model adjusts itself.
&lt;/li&gt;&lt;/ul&gt;
&lt;h3 data-end=&quot;2422&quot; data-section-id=&quot;16zgw4u&quot; data-start=&quot;2411&quot;&gt;Example&lt;/h3&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;2509&quot; data-start=&quot;2424&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Input Data&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Training Process&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Learned Model&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;hr data-end=&quot;2514&quot; data-start=&quot;2511&quot; /&gt;
&lt;h2 data-end=&quot;2538&quot; data-section-id=&quot;1drgxam&quot; data-start=&quot;2516&quot;&gt;6. Target or Output&lt;/h2&gt;
&lt;p data-end=&quot;2591&quot; data-start=&quot;2540&quot;&gt;The target is the value the model tries to predict.&lt;/p&gt;
&lt;h3 data-end=&quot;2604&quot; data-section-id=&quot;16zgw4u&quot; data-start=&quot;2593&quot;&gt;Example&lt;/h3&gt;
&lt;div class=&quot;TyagGW_tableContainer&quot;&gt;&lt;div class=&quot;group TyagGW_tableWrapper flex flex-col-reverse w-fit&quot; tabindex=&quot;-1&quot;&gt;&lt;table class=&quot;w-fit min-w-(--thread-content-width)&quot; data-end=&quot;2739&quot; data-start=&quot;2606&quot;&gt;&lt;thead data-end=&quot;2624&quot; data-start=&quot;2606&quot;&gt;&lt;tr data-end=&quot;2624&quot; data-start=&quot;2606&quot;&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;2614&quot; data-start=&quot;2606&quot;&gt;Input&lt;/th&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;2624&quot; data-start=&quot;2614&quot;&gt;Target&lt;/th&gt;&lt;/tr&gt;&lt;/thead&gt;&lt;tbody data-end=&quot;2739&quot; data-start=&quot;2647&quot;&gt;&lt;tr data-end=&quot;2670&quot; data-start=&quot;2647&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;2661&quot; data-start=&quot;2647&quot;&gt;Study Hours&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;2670&quot; data-start=&quot;2661&quot;&gt;Marks&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;2703&quot; data-start=&quot;2671&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;2688&quot; data-start=&quot;2671&quot;&gt;House Features&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;2703&quot; data-start=&quot;2688&quot;&gt;House Price&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;2739&quot; data-start=&quot;2704&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;2720&quot; data-start=&quot;2704&quot;&gt;Email Content&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;2739&quot; data-start=&quot;2720&quot;&gt;Spam / Not Spam&lt;/td&gt;&lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt;&lt;/div&gt;&lt;/div&gt;
&lt;p data-end=&quot;2804&quot; data-start=&quot;2741&quot;&gt;The target helps the machine understand what it needs to learn.&lt;/p&gt;
&lt;hr data-end=&quot;2809&quot; data-start=&quot;2806&quot; /&gt;
&lt;h2 data-end=&quot;2827&quot; data-section-id=&quot;yw50a1&quot; data-start=&quot;2811&quot;&gt;7. Prediction&lt;/h2&gt;
&lt;p data-end=&quot;2889&quot; data-start=&quot;2829&quot;&gt;After training, the model can predict outcomes for new data.&lt;/p&gt;
&lt;h3 data-end=&quot;2902&quot; data-section-id=&quot;16zgw4u&quot; data-start=&quot;2891&quot;&gt;Example&lt;/h3&gt;
&lt;p data-end=&quot;2918&quot; data-start=&quot;2904&quot;&gt;Training Data:&lt;/p&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;2988&quot; data-start=&quot;2920&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;5 Hours → 60 Marks&lt;/span&gt;&lt;br /&gt;&lt;span&gt;6 Hours → 70 Marks&lt;/span&gt;&lt;br /&gt;&lt;span&gt;7 Hours → 80 Marks&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;3000&quot; data-start=&quot;2990&quot;&gt;New Input:&lt;/p&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;3021&quot; data-start=&quot;3002&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;8 Hours&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;3034&quot; data-start=&quot;3023&quot;&gt;Prediction:&lt;/p&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;3056&quot; data-start=&quot;3036&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;90 Marks&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;hr data-end=&quot;3061&quot; data-start=&quot;3058&quot; /&gt;
&lt;h2 data-end=&quot;3097&quot; data-section-id=&quot;1pt7ih&quot; data-start=&quot;3063&quot;&gt;8. Feedback (Error Measurement)&lt;/h2&gt;
&lt;p data-end=&quot;3158&quot; data-start=&quot;3099&quot;&gt;The machine compares predicted results with actual results.&lt;/p&gt;
&lt;p data-end=&quot;3203&quot; data-start=&quot;3160&quot;&gt;If errors exist, the model improves itself.&lt;/p&gt;
&lt;h3 data-end=&quot;3216&quot; data-section-id=&quot;16zgw4u&quot; data-start=&quot;3205&quot;&gt;Example&lt;/h3&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;3292&quot; data-start=&quot;3218&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Actual Marks      = 90&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Predicted Marks   = 85&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span&gt;Error = 5 Marks&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;3343&quot; data-start=&quot;3294&quot;&gt;The algorithm adjusts the model to reduce errors.&lt;/p&gt;
&lt;hr data-end=&quot;3348&quot; data-start=&quot;3345&quot; /&gt;
&lt;h1 data-end=&quot;3377&quot; data-section-id=&quot;18b86r4&quot; data-start=&quot;3350&quot;&gt;Complete Learning Process&lt;/h1&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;3602&quot; data-start=&quot;3379&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Data Collection&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Feature Selection&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Training Data&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Learning Algorithm&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Model Creation&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Prediction&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Feedback &amp;amp; Improvement&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;hr data-end=&quot;3607&quot; data-start=&quot;3604&quot; /&gt;
&lt;h1 data-end=&quot;3651&quot; data-section-id=&quot;1dacqod&quot; data-start=&quot;3609&quot;&gt;Real-World Example: Email Spam Detection&lt;/h1&gt;
&lt;h3 data-end=&quot;3672&quot; data-section-id=&quot;ilxykd&quot; data-start=&quot;3653&quot;&gt;Components Used&lt;/h3&gt;
&lt;div class=&quot;TyagGW_tableContainer&quot;&gt;&lt;div class=&quot;group TyagGW_tableWrapper flex flex-col-reverse w-fit&quot; tabindex=&quot;-1&quot;&gt;&lt;table class=&quot;w-fit min-w-(--thread-content-width)&quot; data-end=&quot;3910&quot; data-start=&quot;3674&quot;&gt;&lt;thead data-end=&quot;3697&quot; data-start=&quot;3674&quot;&gt;&lt;tr data-end=&quot;3697&quot; data-start=&quot;3674&quot;&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;3686&quot; data-start=&quot;3674&quot;&gt;Component&lt;/th&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;3697&quot; data-start=&quot;3686&quot;&gt;Example&lt;/th&gt;&lt;/tr&gt;&lt;/thead&gt;&lt;tbody data-end=&quot;3910&quot; data-start=&quot;3724&quot;&gt;&lt;tr data-end=&quot;3741&quot; data-start=&quot;3724&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;3731&quot; data-start=&quot;3724&quot;&gt;Data&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;3741&quot; data-start=&quot;3731&quot;&gt;Emails&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;3780&quot; data-start=&quot;3742&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;3753&quot; data-start=&quot;3742&quot;&gt;Features&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;3780&quot; data-start=&quot;3753&quot;&gt;Keywords, Sender, Links&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;3808&quot; data-start=&quot;3781&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;3793&quot; data-start=&quot;3781&quot;&gt;Algorithm&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;3808&quot; data-start=&quot;3793&quot;&gt;Naive Bayes&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;3836&quot; data-start=&quot;3809&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;3817&quot; data-start=&quot;3809&quot;&gt;Model&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;3836&quot; data-start=&quot;3817&quot;&gt;Spam Classifier&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;3869&quot; data-start=&quot;3837&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;3850&quot; data-start=&quot;3837&quot;&gt;Prediction&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;3869&quot; data-start=&quot;3850&quot;&gt;Spam / Not Spam&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;3910&quot; data-start=&quot;3870&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;3881&quot; data-start=&quot;3870&quot;&gt;Feedback&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;3910&quot; data-start=&quot;3881&quot;&gt;Check prediction accuracy&lt;/td&gt;&lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt;&lt;/div&gt;&lt;/div&gt;
&lt;h3 data-end=&quot;3923&quot; data-section-id=&quot;11bjrt3&quot; data-start=&quot;3912&quot;&gt;Working&lt;/h3&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;4078&quot; data-start=&quot;3925&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Emails&lt;/span&gt;&lt;br /&gt;&lt;span&gt;   │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;   ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Feature Extraction&lt;/span&gt;&lt;br /&gt;&lt;span&gt;   │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;   ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Training Algorithm&lt;/span&gt;&lt;br /&gt;&lt;span&gt;   │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;   ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Spam Detection Model&lt;/span&gt;&lt;br /&gt;&lt;span&gt;   │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;   ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;New Email&lt;/span&gt;&lt;br /&gt;&lt;span&gt;   │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;   ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Spam / Not Spam&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;hr data-end=&quot;4083&quot; data-start=&quot;4080&quot; /&gt;
&lt;h1 data-end=&quot;4101&quot; data-section-id=&quot;1ndo9q2&quot; data-start=&quot;4085&quot;&gt;Python Example&lt;/h1&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;4445&quot; data-start=&quot;4103&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;relative h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute inset-x-4 top-12 bottom-4&quot;&gt;&lt;div class=&quot;pointer-events-none sticky z-40 shrink-0 z-1!&quot;&gt;&lt;div class=&quot;sticky bg-token-border-light&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span class=&quot;ͼg&quot;&gt;from&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;sklearn&lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;.&lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;linear_model&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;import&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;LinearRegression&lt;/span&gt;&lt;br /&gt;&lt;span class=&quot;ͼg&quot;&gt;import&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;numpy&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;as&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;np&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span class=&quot;ͼe&quot;&gt;# Training data&lt;/span&gt;&lt;br /&gt;&lt;span class=&quot;ͼm&quot;&gt;X&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;=&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;np&lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;.&lt;/span&gt;&lt;span&gt;array([&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;1&lt;/span&gt;&lt;span&gt;, &lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;2&lt;/span&gt;&lt;span&gt;, &lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;3&lt;/span&gt;&lt;span&gt;, &lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;4&lt;/span&gt;&lt;span&gt;, &lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;5&lt;/span&gt;&lt;span&gt;])&lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;.&lt;/span&gt;&lt;span&gt;reshape(&lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;-&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;1&lt;/span&gt;&lt;span&gt;,&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;1&lt;/span&gt;&lt;span&gt;)&lt;/span&gt;&lt;br /&gt;&lt;span class=&quot;ͼm&quot;&gt;y&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;=&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;np&lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;.&lt;/span&gt;&lt;span&gt;array([&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;10&lt;/span&gt;&lt;span&gt;, &lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;20&lt;/span&gt;&lt;span&gt;, &lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;30&lt;/span&gt;&lt;span&gt;, &lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;40&lt;/span&gt;&lt;span&gt;, &lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;50&lt;/span&gt;&lt;span&gt;])&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span class=&quot;ͼe&quot;&gt;# Create model&lt;/span&gt;&lt;br /&gt;&lt;span class=&quot;ͼm&quot;&gt;model&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;=&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;LinearRegression&lt;/span&gt;&lt;span&gt;()&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span class=&quot;ͼe&quot;&gt;# Train model&lt;/span&gt;&lt;br /&gt;&lt;span class=&quot;ͼm&quot;&gt;model&lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;.&lt;/span&gt;&lt;span&gt;fit(&lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;X&lt;/span&gt;&lt;span&gt;, &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;y&lt;/span&gt;&lt;span&gt;)&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span class=&quot;ͼe&quot;&gt;# Prediction&lt;/span&gt;&lt;br /&gt;&lt;span class=&quot;ͼm&quot;&gt;prediction&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;=&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;model&lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;.&lt;/span&gt;&lt;span&gt;predict([[&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;6&lt;/span&gt;&lt;span&gt;]])&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span class=&quot;ͼm&quot;&gt;print&lt;/span&gt;&lt;span&gt;(&lt;/span&gt;&lt;span class=&quot;ͼk&quot;&gt;&quot;Predicted Value:&quot;&lt;/span&gt;&lt;span&gt;, &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;prediction&lt;/span&gt;&lt;span&gt;[&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;0&lt;/span&gt;&lt;span&gt;])&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;h3 data-end=&quot;4457&quot; data-section-id=&quot;ho23qx&quot; data-start=&quot;4447&quot;&gt;Output&lt;/h3&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;4492&quot; data-start=&quot;4459&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Predicted Value: 60.0&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;h3 data-end=&quot;4513&quot; data-section-id=&quot;ilxykd&quot; data-start=&quot;4494&quot;&gt;Components Used&lt;/h3&gt;
&lt;div class=&quot;TyagGW_tableContainer&quot;&gt;&lt;div class=&quot;group TyagGW_tableWrapper flex flex-col-reverse w-fit&quot; tabindex=&quot;-1&quot;&gt;&lt;table class=&quot;w-fit min-w-(--thread-content-width)&quot; data-end=&quot;4697&quot; data-start=&quot;4515&quot;&gt;&lt;thead data-end=&quot;4538&quot; data-start=&quot;4515&quot;&gt;&lt;tr data-end=&quot;4538&quot; data-start=&quot;4515&quot;&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;4527&quot; data-start=&quot;4515&quot;&gt;Component&lt;/th&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;4538&quot; data-start=&quot;4527&quot;&gt;Used In&lt;/th&gt;&lt;/tr&gt;&lt;/thead&gt;&lt;tbody data-end=&quot;4697&quot; data-start=&quot;4565&quot;&gt;&lt;tr data-end=&quot;4583&quot; data-start=&quot;4565&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4572&quot; data-start=&quot;4565&quot;&gt;Data&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4583&quot; data-start=&quot;4572&quot;&gt;X and y&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;4600&quot; data-start=&quot;4584&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4595&quot; data-start=&quot;4584&quot;&gt;Features&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4600&quot; data-start=&quot;4595&quot;&gt;X&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;4615&quot; data-start=&quot;4601&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4610&quot; data-start=&quot;4601&quot;&gt;Target&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4615&quot; data-start=&quot;4610&quot;&gt;y&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;4649&quot; data-start=&quot;4616&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4628&quot; data-start=&quot;4616&quot;&gt;Algorithm&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4649&quot; data-start=&quot;4628&quot;&gt;Linear Regression&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;4670&quot; data-start=&quot;4650&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4661&quot; data-start=&quot;4650&quot;&gt;Training&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4670&quot; data-start=&quot;4661&quot;&gt;fit()&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;4697&quot; data-start=&quot;4671&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4684&quot; data-start=&quot;4671&quot;&gt;Prediction&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4697&quot; data-start=&quot;4684&quot;&gt;predict()&lt;/td&gt;&lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt;&lt;/div&gt;&lt;/div&gt;
&lt;hr data-end=&quot;4702&quot; data-start=&quot;4699&quot; /&gt;
&lt;h1 data-end=&quot;4716&quot; data-section-id=&quot;1bym0se&quot; data-start=&quot;4704&quot;&gt;Advantages&lt;/h1&gt;
&lt;ul data-end=&quot;4845&quot; data-start=&quot;4718&quot;&gt;&lt;li data-end=&quot;4751&quot; data-section-id=&quot;151iu4i&quot; data-start=&quot;4718&quot;&gt;
Learns automatically from data.
&lt;/li&gt;&lt;li data-end=&quot;4782&quot; data-section-id=&quot;1kup52h&quot; data-start=&quot;4752&quot;&gt;
Improves accuracy over time.
&lt;/li&gt;&lt;li data-end=&quot;4808&quot; data-section-id=&quot;5462ar&quot; data-start=&quot;4783&quot;&gt;
Handles large datasets.
&lt;/li&gt;&lt;li data-end=&quot;4845&quot; data-section-id=&quot;7mshsx&quot; data-start=&quot;4809&quot;&gt;
Useful in real-world applications.
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;4850&quot; data-start=&quot;4847&quot; /&gt;
&lt;h1 data-end=&quot;4868&quot; data-section-id=&quot;2rjcyb&quot; data-start=&quot;4852&quot;&gt;Viva Questions&lt;/h1&gt;
&lt;ol data-end=&quot;5178&quot; data-start=&quot;4870&quot;&gt;&lt;li data-end=&quot;4898&quot; data-section-id=&quot;txybtw&quot; data-start=&quot;4870&quot;&gt;
What is Machine Learning?
&lt;/li&gt;&lt;li data-end=&quot;4943&quot; data-section-id=&quot;1cdnzgp&quot; data-start=&quot;4899&quot;&gt;
What are the main components of learning?
&lt;/li&gt;&lt;li data-end=&quot;4980&quot; data-section-id=&quot;3r55w1&quot; data-start=&quot;4944&quot;&gt;
What is data in Machine Learning?
&lt;/li&gt;&lt;li data-end=&quot;5000&quot; data-section-id=&quot;3nih6b&quot; data-start=&quot;4981&quot;&gt;
Define features.
&lt;/li&gt;&lt;li data-end=&quot;5020&quot; data-section-id=&quot;qal34v&quot; data-start=&quot;5001&quot;&gt;
What is a model?
&lt;/li&gt;&lt;li data-end=&quot;5041&quot; data-section-id=&quot;180304y&quot; data-start=&quot;5021&quot;&gt;
What is training?
&lt;/li&gt;&lt;li data-end=&quot;5064&quot; data-section-id=&quot;tc5bdy&quot; data-start=&quot;5042&quot;&gt;
What is prediction?
&lt;/li&gt;&lt;li data-end=&quot;5094&quot; data-section-id=&quot;1hjfkzj&quot; data-start=&quot;5065&quot;&gt;
Why is feedback important?
&lt;/li&gt;&lt;li data-end=&quot;5127&quot; data-section-id=&quot;1cc5sbr&quot; data-start=&quot;5095&quot;&gt;
What is a learning algorithm?
&lt;/li&gt;&lt;li data-end=&quot;5178&quot; data-section-id=&quot;1pmbuf1&quot; data-start=&quot;5128&quot;&gt;
Give a real-world example of Machine Learning.
&lt;/li&gt;&lt;/ol&gt;
&lt;hr data-end=&quot;5183&quot; data-start=&quot;5180&quot; /&gt;
&lt;h1 data-end=&quot;5191&quot; data-section-id=&quot;1htghai&quot; data-start=&quot;5185&quot;&gt;MCQs&lt;/h1&gt;
&lt;h3 data-end=&quot;5254&quot; data-section-id=&quot;roetwk&quot; data-start=&quot;5193&quot;&gt;1. Which component is the foundation of Machine Learning?&lt;/h3&gt;
&lt;p data-end=&quot;5302&quot; data-start=&quot;5256&quot;&gt;A) Model&lt;br data-end=&quot;5267&quot; data-start=&quot;5264&quot; /&gt;
B) Data&lt;br data-end=&quot;5277&quot; data-start=&quot;5274&quot; /&gt;
C) Output&lt;br data-end=&quot;5289&quot; data-start=&quot;5286&quot; /&gt;
D) Feedback&lt;/p&gt;
&lt;p data-end=&quot;5317&quot; data-start=&quot;5304&quot;&gt;&lt;b data-end=&quot;5315&quot; data-start=&quot;5304&quot;&gt;Answer:&lt;/b&gt; B&lt;/p&gt;
&lt;h3 data-end=&quot;5339&quot; data-section-id=&quot;11nr775&quot; data-start=&quot;5319&quot;&gt;2. Features are:&lt;/h3&gt;
&lt;p data-end=&quot;5410&quot; data-start=&quot;5341&quot;&gt;A) Outputs&lt;br data-end=&quot;5354&quot; data-start=&quot;5351&quot; /&gt;
B) Algorithms&lt;br data-end=&quot;5370&quot; data-start=&quot;5367&quot; /&gt;
C) Characteristics of data&lt;br data-end=&quot;5399&quot; data-start=&quot;5396&quot; /&gt;
D) Errors&lt;/p&gt;
&lt;p data-end=&quot;5425&quot; data-start=&quot;5412&quot;&gt;&lt;b data-end=&quot;5423&quot; data-start=&quot;5412&quot;&gt;Answer:&lt;/b&gt; C&lt;/p&gt;
&lt;h3 data-end=&quot;5454&quot; data-section-id=&quot;10y7uef&quot; data-start=&quot;5427&quot;&gt;3. Training is used to:&lt;/h3&gt;
&lt;p data-end=&quot;5530&quot; data-start=&quot;5456&quot;&gt;A) Delete data&lt;br data-end=&quot;5473&quot; data-start=&quot;5470&quot; /&gt;
B) Teach the model&lt;br data-end=&quot;5494&quot; data-start=&quot;5491&quot; /&gt;
C) Store files&lt;br data-end=&quot;5511&quot; data-start=&quot;5508&quot; /&gt;
D) Display output&lt;/p&gt;
&lt;p data-end=&quot;5545&quot; data-start=&quot;5532&quot;&gt;&lt;b data-end=&quot;5543&quot; data-start=&quot;5532&quot;&gt;Answer:&lt;/b&gt; B&lt;/p&gt;
&lt;h3 data-end=&quot;5588&quot; data-section-id=&quot;pca02u&quot; data-start=&quot;5547&quot;&gt;4. Which component makes predictions?&lt;/h3&gt;
&lt;p data-end=&quot;5634&quot; data-start=&quot;5590&quot;&gt;A) Model&lt;br data-end=&quot;5601&quot; data-start=&quot;5598&quot; /&gt;
B) Data&lt;br data-end=&quot;5611&quot; data-start=&quot;5608&quot; /&gt;
C) Feature&lt;br data-end=&quot;5624&quot; data-start=&quot;5621&quot; /&gt;
D) Error&lt;/p&gt;
&lt;p data-end=&quot;5649&quot; data-start=&quot;5636&quot;&gt;&lt;b data-end=&quot;5647&quot; data-start=&quot;5636&quot;&gt;Answer:&lt;/b&gt; A&lt;/p&gt;
&lt;h3 data-end=&quot;5688&quot; data-section-id=&quot;1izf8pf&quot; data-start=&quot;5651&quot;&gt;5. Error measurement is used for:&lt;/h3&gt;
&lt;p data-end=&quot;5789&quot; data-start=&quot;5690&quot;&gt;A) Increasing mistakes&lt;br data-end=&quot;5715&quot; data-start=&quot;5712&quot; /&gt;
B) Improving model performance&lt;br data-end=&quot;5748&quot; data-start=&quot;5745&quot; /&gt;
C) Deleting features&lt;br data-end=&quot;5771&quot; data-start=&quot;5768&quot; /&gt;
D) Reducing data&lt;/p&gt;
&lt;p data-end=&quot;5804&quot; data-start=&quot;5791&quot;&gt;&lt;b data-end=&quot;5802&quot; data-start=&quot;5791&quot;&gt;Answer:&lt;/b&gt; B&lt;/p&gt;
&lt;hr data-end=&quot;5809&quot; data-start=&quot;5806&quot; /&gt;
&lt;h1 data-end=&quot;5820&quot; data-section-id=&quot;1jxv0q2&quot; data-start=&quot;5811&quot;&gt;Summary&lt;/h1&gt;
&lt;p data-end=&quot;5879&quot; data-start=&quot;5822&quot;&gt;The major components of learning in Machine Learning are:&lt;/p&gt;
&lt;ol data-end=&quot;6259&quot; data-start=&quot;5881&quot;&gt;&lt;li data-end=&quot;5925&quot; data-section-id=&quot;zsj0yb&quot; data-start=&quot;5881&quot;&gt;
&lt;b data-end=&quot;5892&quot; data-start=&quot;5884&quot;&gt;Data&lt;/b&gt; – Information used for learning.
&lt;/li&gt;&lt;li data-end=&quot;5972&quot; data-section-id=&quot;l1rnzh&quot; data-start=&quot;5926&quot;&gt;
&lt;b data-end=&quot;5941&quot; data-start=&quot;5929&quot;&gt;Features&lt;/b&gt; – Characteristics of the data.
&lt;/li&gt;&lt;li data-end=&quot;6014&quot; data-section-id=&quot;zgoub4&quot; data-start=&quot;5973&quot;&gt;
&lt;b data-end=&quot;5985&quot; data-start=&quot;5976&quot;&gt;Model&lt;/b&gt; – Learns patterns from data.
&lt;/li&gt;&lt;li data-end=&quot;6074&quot; data-section-id=&quot;gjct8s&quot; data-start=&quot;6015&quot;&gt;
&lt;b data-end=&quot;6040&quot; data-start=&quot;6018&quot;&gt;Learning Algorithm&lt;/b&gt; – Method used to train the model.
&lt;/li&gt;&lt;li data-end=&quot;6123&quot; data-section-id=&quot;rkexn0&quot; data-start=&quot;6075&quot;&gt;
&lt;b data-end=&quot;6090&quot; data-start=&quot;6078&quot;&gt;Training&lt;/b&gt; – Process of teaching the model.
&lt;/li&gt;&lt;li data-end=&quot;6162&quot; data-section-id=&quot;1dxua8w&quot; data-start=&quot;6124&quot;&gt;
&lt;b data-end=&quot;6144&quot; data-start=&quot;6127&quot;&gt;Target/Output&lt;/b&gt; – Desired result.
&lt;/li&gt;&lt;li data-end=&quot;6211&quot; data-section-id=&quot;17qcskn&quot; data-start=&quot;6163&quot;&gt;
&lt;b data-end=&quot;6180&quot; data-start=&quot;6166&quot;&gt;Prediction&lt;/b&gt; – Model&#39;s output for new data.
&lt;/li&gt;&lt;li data-end=&quot;6259&quot; data-section-id=&quot;hwtz6d&quot; data-start=&quot;6212&quot;&gt;
&lt;b data-end=&quot;6233&quot; data-start=&quot;6215&quot;&gt;Feedback/Error&lt;/b&gt; – Helps improve accuracy.
&lt;/li&gt;&lt;/ol&gt;
&lt;p data-end=&quot;6375&quot; data-is-last-node=&quot;&quot; data-is-only-node=&quot;&quot; data-start=&quot;6261&quot;&gt;These components work together to create intelligent systems capable of making accurate predictions and decisions.&lt;/p&gt;&lt;h2 class=&quot;wp-block-heading&quot; id=&quot;h-commonly-used-machine-learning-algorithms&quot;&gt;&amp;nbsp;&lt;/h2&gt;&lt;h2 class=&quot;wp-block-heading&quot; id=&quot;h-commonly-used-machine-learning-algorithms&quot;&gt;&lt;u&gt;ANOTHER TITLES&lt;/u&gt;&lt;/h2&gt;&lt;h2 class=&quot;wp-block-heading&quot; id=&quot;h-commonly-used-machine-learning-algorithms&quot;&gt;Commonly Used Machine Learning Algorithms&lt;span class=&quot;ez-toc-section-end&quot;&gt;&lt;/span&gt;&lt;/h2&gt;&lt;h3 class=&quot;wp-block-heading&quot; id=&quot;h-linear-regression&quot;&gt;Linear Regression&lt;/h3&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;&lt;a href=&quot;https://www.ibm.com/topics/linear-regression&quot;&gt;Linear regression&lt;/a&gt;
 analysis predicts the value of one variable depending on the value of 
another. The variable you’re looking to forecast is known as the 
dependent variable. The variable used to predict the value of another 
variable is known as the independent variable.&lt;/p&gt;&lt;h3 class=&quot;wp-block-heading&quot; id=&quot;h-logistic-regression&quot;&gt;Logistic Regression&lt;/h3&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Logistic
 regression is a machine learning algorithm that is often used to 
estimate discrete values, typically binary values such as 0 or 1, based 
on a set of independent variables. It helps to predict the likelihood of
 an event by fitting data to a logit function.&lt;/p&gt;&lt;h3 class=&quot;wp-block-heading&quot; id=&quot;h-k-nearest-neighbor-knn&quot;&gt;K Nearest Neighbor (KNN)&lt;/h3&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;This algorithm is versatile and can be used for classification and regression problems. &lt;a href=&quot;https://www.geeksforgeeks.org/k-nearest-neighbours/&quot;&gt;KNN&lt;/a&gt;
 stores all the available cases and then classifies any new cases by 
taking a majority vote of its k neighbors. The case is then assigned to 
the class with the most similarities. This measurement is performed by a
 distance function.&lt;/p&gt;&lt;h3 class=&quot;wp-block-heading&quot; id=&quot;h-k-means-clustering&quot;&gt;K-Means Clustering&lt;/h3&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;This
 machine learning algorithm is capable of solving clustering problems 
via unsupervised learning. Data sets are organized into distinct 
clusters, each containing data points that are similar to one another 
and different from the data in other clusters.&lt;/p&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;The
 K-means algorithm selects a specified number of points, known as 
centroids, for each cluster. Every data point is grouped together with 
the nearest centroids, resulting in K clusters. Next, it generates new 
centroids by considering the current cluster members.&lt;/p&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Using
 these updated centroids, the algorithm calculates the closest distance 
for each data point. This process is iterated until the centroids remain
 unchanged.&lt;/p&gt;&lt;h3 class=&quot;wp-block-heading&quot; id=&quot;h-decision-tree&quot;&gt;Decision Tree&lt;/h3&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;The
 Decision Tree algorithm is widely used in machine learning as a 
supervised learning method for classifying problems. It performs well in
 accurately categorizing both categorical and continuous dependent 
variables. The algorithm partitions the population into two or more 
homogeneous sets by considering the most significant attributes or 
independent variables.&lt;/p&gt;&lt;h3 class=&quot;wp-block-heading&quot; id=&quot;h-random-forest&quot;&gt;Random Forest&lt;/h3&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Random
 Forest refers to a group of decision trees working together. When it 
comes to classifying a new object based on its attributes, every tree is
 involved in the process and contributes its “vote” for the appropriate 
class. The forest selects the classification with the highest number of 
votes, considering all the trees in the forest.&lt;/p&gt;&lt;h3 class=&quot;wp-block-heading&quot; id=&quot;h-support-vector-machines-svm&quot;&gt;Support Vector Machines (SVM)&lt;/h3&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;The &lt;a href=&quot;https://towardsdatascience.com/support-vector-machine-introduction-to-machine-learning-algorithms-934a444fca47&quot;&gt;SVM algorithm&lt;/a&gt;
 is a classification method that involves plotting raw data as points in
 an n-dimensional space, where n represents the number of features. Each
 feature’s value is then associated with a specific coordinate, 
simplifying the data’s classification process. Classifiers are useful 
for dividing data and visually representing it on a graph.&lt;/p&gt;&lt;h3 class=&quot;wp-block-heading&quot; id=&quot;h-naive-bayes&quot;&gt;Naïve Bayes&lt;/h3&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;A
 Naïve Bayes classifier operates under the assumption that the presence 
of a specific feature in a class is independent of the presence of any 
other feature. Although these features are interconnected, a Naïve Bayes
 classifier would treat each property as independent when calculating 
the probability of a specific outcome.&lt;/p&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Building a Naïve Bayesian model is a straightforward process that proves highly valuable when dealing with large datasets.&lt;/p&gt;&lt;p data-end=&quot;6375&quot; data-is-last-node=&quot;&quot; data-is-only-node=&quot;&quot; data-start=&quot;6261&quot;&gt;&amp;nbsp;&lt;/p&gt;&lt;h2 class=&quot;wp-block-heading&quot; id=&quot;h-common-machine-learning-applications&quot;&gt;Common Machine Learning Applications&lt;span class=&quot;ez-toc-section-end&quot;&gt;&lt;/span&gt;&lt;/h2&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Machine
 learning enhances software applications by enabling them to make 
accurate predictions without the need for explicit programming. 
Industries across various sectors are increasingly adopting machine 
learning in the following ways:&lt;/p&gt;&lt;ul class=&quot;wp-block-list&quot;&gt;&lt;li&gt;Web search and ranking pages based on search preferences.&lt;/li&gt;&lt;li&gt;Assessing risk in finance, particularly in credit offers, and identifying optimal investment opportunities.&lt;/li&gt;&lt;li&gt;Anticipating customer attrition in the e-commerce industry.&lt;/li&gt;&lt;li&gt;Space exploration and the deployment of probes into outer space.&lt;/li&gt;&lt;li&gt;The progress in robotics and the development of autonomous, self-driving cars.&lt;/li&gt;&lt;li&gt;Gathering information on relationships and preferences from social media.&lt;/li&gt;&lt;li&gt;Accelerating the debugging process in computer science.&lt;/li&gt;&lt;/ul&gt;&lt;h3 class=&quot;wp-block-heading&quot; id=&quot;h-product-recommendations-nbsp&quot;&gt;Product recommendations&amp;nbsp;&lt;/h3&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Targeted
 marketing in retail uses machine learning to categorize customers 
according to their purchasing patterns or demographic similarities. It 
can also predict the preferences of one individual based on the buying 
behavior of others.&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;With a deep 
understanding of data analysis and predictive modeling, machine learning
 has the ability to uncover hidden connections and anticipate your 
desires even before you are aware of them. When the data is incomplete, 
there is a risk of receiving inaccurate recommendations.&lt;/p&gt;&lt;h3 class=&quot;wp-block-heading&quot; id=&quot;h-facial-recognition&quot;&gt;Facial recognition&lt;/h3&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Facial
 recognition is a clear and prominent application of machine learning. 
Previously, individuals were provided with name suggestions for their 
mobile photos and Facebook tagging. The process has now evolved to 
instantly tag and verify someone by analyzing facial contours and 
comparing patterns.&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Facial recognition
 combined with deep learning has proven to be incredibly valuable in the
 healthcare industry, enabling the detection of genetic diseases and 
providing more precise tracking of a patient’s medication usage. The 
number of applications and industries impacted by it is continuously 
increasing.&lt;/p&gt;&lt;h3 class=&quot;wp-block-heading&quot; id=&quot;h-email-automation-and-spam-filtering-nbsp&quot;&gt;Email automation and spam filtering&amp;nbsp;&lt;/h3&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;By
 automating certain tasks, ML helps users save time and prioritize 
important emails. Additionally, spam filtering keeps your inbox free 
from unwanted and potentially harmful messages. These features are 
designed to streamline the email experience and make it more manageable.&lt;/p&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Effective
 spam filtering involves analyzing and identifying patterns in email 
content that are considered undesirable. This encompasses information 
from email domains, the geographical location of the sender, the content
 and structure of the message, and IP addresses. It also relies on user 
assistance in identifying and flagging misfiled emails. Every time an 
email is marked, the application adds a new data reference to enhance 
its future accuracy.&lt;/p&gt;&lt;h3 class=&quot;wp-block-heading&quot; id=&quot;h-predictive-analytics&quot;&gt;Predictive analytics&lt;/h3&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Predictive
 analytics is a fascinating field within advanced analytics that 
leverages data to make accurate predictions about future events. Methods
 like data mining, statistics, and modeling utilize machine learning and
 advanced algorithms to analyze current and past data.&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;By
 identifying patterns and anomalies, these techniques can help uncover 
potential risks and opportunities and reduce the likelihood of human 
errors. Additionally, they boost the speed and comprehensiveness of data
 analysis.&amp;nbsp;&lt;/p&gt;&lt;h3 class=&quot;wp-block-heading&quot; id=&quot;h-precise-financial-calculations&quot;&gt;Precise financial calculations&lt;/h3&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;The
 financial services industry has greatly benefited from the advent of 
machine learning, as the majority of systems have transitioned to 
digital platforms. Machine learning plays a crucial role in analyzing 
numerous financial transactions that are beyond human monitoring 
capabilities.&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;It efficiently detects 
fraudulent activities, ensuring enhanced security. Machine learning 
plays a crucial role in determining credit scores and making lending 
decisions, as it assesses both the creditworthiness of individuals and 
analyzes financial risk. Incorporating data analytics with artificial 
intelligence, machine learning, and natural language processing is 
revolutionizing the customer experience in banking.&lt;/p&gt;&lt;h3 class=&quot;wp-block-heading&quot; id=&quot;h-healthcare-advancements&quot;&gt;Healthcare advancements&lt;/h3&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;With
 each passing day, we are making significant progress towards a complete
 shift to electronic medical records. Healthcare information for 
clinicians can be enhanced with analytics and machine learning to gain 
valuable insights that can support better planning and patient care, 
improved diagnoses, and lower treatment costs.&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Integrating
 machine learning with radiology, cardiology, and pathology, for 
instance, may result in earlier detection of abnormalities and increased
 focus on areas of concern. In the future, machine learning will prove 
valuable for family practitioners or internists in treating patients at 
the bedside.&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;By analyzing data trends,
 they will be able to predict health risks such as heart disease. For 
instance, wearables collect vast amounts of data on the wearer’s health 
and use AI and machine learning to notify them or their doctors about 
potential problems, enabling proactive measures and rapid response to 
emergencies.&lt;/p&gt;&lt;h3 class=&quot;wp-block-heading&quot; id=&quot;h-mobile-voice-to-text-and-predictive-text&quot;&gt;Mobile voice-to-text and predictive text&lt;/h3&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Machines
 can also learn languages in different formats. Similar to Siri and 
Cortana, voice-to-text applications have the ability to learn words and 
language, enabling them to accurately transcribe audio into written 
text.&lt;/p&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Supervised learning is a 
straightforward method that trains the process to recognize and predict 
common words or phrases based on the context of the text. Unsupervised 
learning takes it a step further, fine-tuning predictions based on the 
available data.&lt;/p&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;&amp;nbsp;&lt;/p&gt;&lt;h2 class=&quot;wp-block-heading&quot; id=&quot;h-machine-learning-classification&quot;&gt;Machine Learning Classification&lt;span class=&quot;ez-toc-section-end&quot;&gt;&lt;/span&gt;&lt;/h2&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;In ML, you’re looking at several types of learning. Let’s dive into them to understand their benefits and challenges.&lt;/p&gt;&lt;h3 class=&quot;wp-block-heading&quot; id=&quot;h-supervised-machine-learning-algorithms&quot;&gt;Supervised Machine Learning Algorithms&lt;/h3&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Supervised
 learning is widely used in machine learning and serves as the 
foundation for many algorithms. This form of learning encompasses 
regression and classification. Regression involves predicting numerical 
variables, while classification involves predicting categorical 
variables.&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Supervised learning involves the utilization of different algorithms, such as:&lt;/p&gt;&lt;ul class=&quot;wp-block-list&quot;&gt;&lt;li&gt;Linear regression&lt;/li&gt;&lt;li&gt;Logistic regression&lt;/li&gt;&lt;li&gt;Decision trees&amp;nbsp;&lt;/li&gt;&lt;li&gt;Random forest&lt;/li&gt;&lt;li&gt;Gradient boosting&lt;/li&gt;&lt;/ul&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Benefits of supervised learning&lt;/p&gt;&lt;ul class=&quot;wp-block-list&quot;&gt;&lt;li&gt;Supervised learning models can achieve impressive accuracy due to their training on labeled data.&lt;/li&gt;&lt;li&gt;This
 type of learning is often used in pre-trained models, which can 
significantly save time and resources during the development of new 
machine learning models.&lt;/li&gt;&lt;li&gt;Such models often provide interpretable decision-making processes.&lt;/li&gt;&lt;/ul&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Challenges of supervised learning&lt;/p&gt;&lt;ul class=&quot;wp-block-list&quot;&gt;&lt;li&gt;It
 may have certain limitations when it comes to recognizing patterns and 
could face difficulties with unfamiliar or unforeseen patterns that 
weren’t included in its training data.&lt;/li&gt;&lt;li&gt;It can be quite a time-consuming and expensive process, as it heavily depends on labeled data.&lt;/li&gt;&lt;li&gt;There is a risk of making inaccurate generalizations when considering new data.&lt;/li&gt;&lt;/ul&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Applications of supervised learning&lt;/p&gt;&lt;ul class=&quot;wp-block-list&quot;&gt;&lt;li&gt;Image classification&lt;/li&gt;&lt;li&gt;Extracting information from text,&amp;nbsp;&lt;/li&gt;&lt;li&gt;Speech recognition&amp;nbsp;&lt;/li&gt;&lt;li&gt;Recommendation systems&lt;/li&gt;&lt;li&gt;Predictive analytics&lt;/li&gt;&lt;li&gt;Detecting fraud&lt;/li&gt;&lt;li&gt;Email spam detection&lt;/li&gt;&lt;/ul&gt;&lt;h3 class=&quot;wp-block-heading&quot; id=&quot;h-semi-supervised-machine-learning-algorithms&quot;&gt;Semi-Supervised Machine Learning Algorithms&lt;/h3&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Semi-supervised
 learning leverages both labeled and unlabeled data to enhance its 
performance. It can be incredibly valuable in situations where acquiring
 labeled data is expensive, time-consuming, or requires a lot of 
resources.&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Teams working with labeled 
data that require expertise and access to appropriate resources for 
training or learning purposes typically choose semi-supervised learning.&lt;/p&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;This
 type of learning comes in handy when you have a small amount of labeled
 data and a larger portion of it is unlabeled. Unsupervised techniques 
can be used to make label predictions, which can then be passed on to 
supervised techniques.&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Here are a few methods used in this type of learning:&lt;/p&gt;&lt;ul class=&quot;wp-block-list&quot;&gt;&lt;li&gt;Graph-based semi-supervised learning uses a graph to depict the connections between the data points.&amp;nbsp;&lt;/li&gt;&lt;li&gt;Label
 propagation involves the iterative propagation of labels from labeled 
data points to unlabeled data points, taking into account the 
similarities between the data points.&lt;/li&gt;&lt;li&gt;Co-training refers to training two distinct machine learning models on separate subsets of the unlabeled data.&amp;nbsp;&lt;/li&gt;&lt;li&gt;Generative
 adversarial networks (GANs) are a type of deep learning algorithm 
capable of generating synthetic data. GANs are commonly employed in 
semi-supervised learning to produce unlabeled data.&amp;nbsp;&lt;/li&gt;&lt;/ul&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Benefits of semi-supervised learning&lt;/p&gt;&lt;ul class=&quot;wp-block-list&quot;&gt;&lt;li&gt;It improves generalization compared to supervised learning by incorporating both labeled and unlabeled data.&lt;/li&gt;&lt;li&gt;It’s applicable to a diverse array of data.&lt;/li&gt;&lt;/ul&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Challenges of semi-supervised learning&lt;/p&gt;&lt;ul class=&quot;wp-block-list&quot;&gt;&lt;li&gt;Implementing semi-supervised methods can be more complex than other approaches.&lt;/li&gt;&lt;li&gt;Acquiring the necessary labeled data can sometimes be a challenge, as it may not always be readily accessible.&lt;/li&gt;&lt;li&gt;The unlabeled data can have a significant impact on the performance of the machine learning model.&lt;/li&gt;&lt;/ul&gt;&lt;h3 class=&quot;wp-block-heading&quot; id=&quot;h-unsupervised-machine-learning-algorithms&quot;&gt;Unsupervised Machine Learning Algorithms&lt;/h3&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Unsupervised
 learning algorithms uncover patterns and relationships by analyzing 
unlabeled data. Unlike supervised learning, it doesn’t require the 
algorithm to be provided with labeled target outputs.&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Unsupervised
 learning aims to uncover concealed patterns, similarities, or clusters 
within the data. These findings can be applied to a range of tasks, 
including data exploration, visualization, and dimensionality reduction.&lt;/p&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;There are two primary categories of unsupervised learning:&lt;/p&gt;&lt;ul class=&quot;wp-block-list&quot;&gt;&lt;li&gt;Clustering
 – It involves the grouping of data points into clusters, taking into 
account their similarity. This method proves to be valuable in detecting
 patterns and connections within data, eliminating the necessity for 
labeled examples.&lt;/li&gt;&lt;li&gt;Association – A method used to uncover 
connections between items within a dataset. It detects patterns that 
suggest the occurrence of one item is likely to be accompanied by 
another item.&lt;/li&gt;&lt;/ul&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Benefits of unsupervised learning&lt;/p&gt;&lt;ul class=&quot;wp-block-list&quot;&gt;&lt;li&gt;It’s beneficial for uncovering concealed patterns and diverse relationships within the data.&lt;/li&gt;&lt;li&gt;It’s commonly employed for tasks like customer segmentation, anomaly detection, and data exploration.&lt;/li&gt;&lt;li&gt;It doesn’t need labeled data and minimizes the need for data labeling.&lt;/li&gt;&lt;/ul&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Challenges of unsupervised learning&lt;/p&gt;&lt;ul class=&quot;wp-block-list&quot;&gt;&lt;li&gt;Since you’re not using labels, it can be challenging to anticipate the accuracy of the machine learning model output.&lt;/li&gt;&lt;li&gt;Cluster interpretability can often be lacking, with interpretations that may not be easily understood or meaningful.&lt;/li&gt;&lt;li&gt;It
 comes with various techniques, like autoencoders and dimensionality 
reduction, that can effectively extract significant features from raw 
data.&lt;/li&gt;&lt;/ul&gt;&lt;h3 class=&quot;wp-block-heading&quot; id=&quot;h-reinforcement-machine-learning-algorithms&quot;&gt;Reinforcement Machine Learning Algorithms&lt;/h3&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Reinforcement
 learning involves interacting with the environment, producing actions, 
and identifying errors. Experimentation, mistakes, and time-consuming 
processes are key aspects of reinforcement learning.&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;In
 this technique, the machine learning model continuously improves its 
performance by using reward feedback to understand and learn patterns 
and behaviors. These algorithms are tailored to address specific 
challenges, such as the Google Self Driving car or AlphaGo, where a bot 
continuously improves its performance by competing against humans and 
itself in the game of Go. With every input of data, they acquire 
knowledge and incorporate it into their training data. As it continues 
to learn, its training improves, making it more experienced.&lt;/p&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Some of the most common algorithms used in reinforcement learning are:&lt;/p&gt;&lt;ul class=&quot;wp-block-list&quot;&gt;&lt;li&gt;Q-learning&lt;/li&gt;&lt;li&gt;SARSA&lt;/li&gt;&lt;li&gt;Deep Q-learning&lt;/li&gt;&lt;/ul&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Benefits of reinforcement learning&lt;/p&gt;&lt;ul class=&quot;wp-block-list&quot;&gt;&lt;li&gt;It
 has the capability for autonomous decision-making, making it highly 
suitable for tasks that require the ability to learn and make a series 
of decisions, such as robotics and game-playing.&lt;/li&gt;&lt;li&gt;It’s recommended for achieving long-term results that can be quite challenging to attain.&lt;/li&gt;&lt;li&gt;It’s used to tackle intricate problems that are beyond the capabilities of traditional methods.&lt;/li&gt;&lt;/ul&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;Challenges of reinforcement learning&lt;/p&gt;&lt;ul class=&quot;wp-block-list&quot;&gt;&lt;li&gt;Its agents can be resource-intensive and require significant time to compute.&lt;/li&gt;&lt;li&gt;It’s not an ideal approach for solving simple problems.&lt;/li&gt;&lt;li&gt;It requires a substantial amount of data and computation, this approach proves to be impractical and expensive.&lt;/li&gt;&lt;/ul&gt;&lt;h2 class=&quot;wp-block-heading&quot; id=&quot;h-common-terms-used-in-machine-learning&quot;&gt;Common Terms Used in Machine Learning&lt;span class=&quot;ez-toc-section-end&quot;&gt;&lt;/span&gt;&lt;/h2&gt;&lt;table class=&quot;tg&quot;&gt;&lt;thead&gt; &lt;tr&gt; &lt;th class=&quot;tg-0nyq&quot;&gt;Term&lt;/th&gt; &lt;th class=&quot;tg-0nyq&quot;&gt;Description&lt;/th&gt; &lt;/tr&gt;&lt;/thead&gt;&lt;tbody&gt; &lt;tr&gt; &lt;td class=&quot;tg-0pky&quot;&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;Bias&lt;/span&gt;&lt;/td&gt; &lt;td class=&quot;tg-0pky&quot;&gt;&lt;span style=&quot;font-style: normal; font-weight: 400; text-decoration: none;&quot;&gt;Bias
 is a deviation or displacement from a starting point, present due to 
the fact that not all models have their starting point at the origin 
(0,0). Bias should not be mistaken for bias in ethics and fairness or 
prediction bias.&lt;/span&gt;&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td class=&quot;tg-0pky&quot;&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;Cross-Validation Bias&lt;/span&gt;&lt;/td&gt; &lt;td class=&quot;tg-0pky&quot;&gt;&lt;span style=&quot;font-style: normal; font-weight: 400; text-decoration: none;&quot;&gt;Using
 cross validation score in conjunction with the train score and test 
score from a basic train-test split can help identify bias and variance 
problems in a model.&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span style=&quot;font-style: normal; font-weight: 400; text-decoration: none;&quot;&gt;Both
 bias and variance play a role in the errors that the model makes on 
unseen data, ultimately impacting its ability to generalize. The goal of
 an ML team is to minimize both.&lt;/span&gt;&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td class=&quot;tg-0pky&quot;&gt;&lt;span style=&quot;font-style: normal; font-weight: 700; text-decoration: none;&quot;&gt;Underfitting&lt;/span&gt;&lt;/td&gt; &lt;td class=&quot;tg-0pky&quot;&gt;&lt;span style=&quot;font-style: normal; font-weight: 400; text-decoration: none;&quot;&gt;When
 a statistical model or machine learning algorithm is too simple to 
capture the complexities of the data, it’s considered to be 
underfitting. It indicates a lack of effectiveness in the model’s 
ability to learn the training data, resulting in subpar performance on 
both the training and testing data. An underfitting model exhibits a 
high bias and low variance.&lt;/span&gt;&lt;/td&gt; &lt;/tr&gt; &lt;tr&gt; &lt;td class=&quot;tg-0pky&quot;&gt;&lt;span style=&quot;font-weight: bold;&quot;&gt;Overfitting&lt;/span&gt;&lt;/td&gt; &lt;td class=&quot;tg-0pky&quot;&gt;&lt;span style=&quot;font-style: normal; font-weight: 400; text-decoration: none;&quot;&gt;When
 a statistical model is overfitted, it fails to accurately predict 
outcomes from testing data. If you train a model with a large amount of 
data, it starts to learn from the noise and inaccurate data entries in 
the dataset. And when conducting tests using test data, there is a 
significant amount of variance in the results.&lt;/span&gt;&lt;br /&gt;&lt;span style=&quot;font-style: normal; font-weight: 400; text-decoration: none;&quot;&gt;Then the model fails to accurately categorize the data due to an excessive amount of detail and noise.&lt;/span&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt;&lt;p&gt;&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;wp-block-paragraph&quot;&gt;&amp;nbsp;&lt;/p&gt;&lt;h1 data-end=&quot;37&quot; data-section-id=&quot;5f8wl4&quot; data-start=&quot;0&quot;&gt;&lt;span style=&quot;color: #2b00fe;&quot;&gt;Learning Models in Machine Learning&lt;/span&gt;&lt;/h1&gt;
&lt;h2 data-end=&quot;61&quot; data-section-id=&quot;1scsphp&quot; data-start=&quot;39&quot;&gt;Learning Objectives&lt;/h2&gt;
&lt;p data-end=&quot;118&quot; data-start=&quot;63&quot;&gt;After completing this lesson, students will be able to:&lt;/p&gt;
&lt;ul data-end=&quot;312&quot; data-start=&quot;120&quot;&gt;&lt;li data-end=&quot;158&quot; data-section-id=&quot;1y15buw&quot; data-start=&quot;120&quot;&gt;
Understand what a learning model is.
&lt;/li&gt;&lt;li data-end=&quot;215&quot; data-section-id=&quot;jg9sxm&quot; data-start=&quot;159&quot;&gt;
Explain different learning models in Machine Learning.
&lt;/li&gt;&lt;li data-end=&quot;264&quot; data-section-id=&quot;1vs6lq5&quot; data-start=&quot;216&quot;&gt;
Differentiate between various learning models.
&lt;/li&gt;&lt;li data-end=&quot;312&quot; data-section-id=&quot;1d1wppo&quot; data-start=&quot;265&quot;&gt;
Apply learning models to real-world problems.
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;317&quot; data-start=&quot;314&quot; /&gt;
&lt;h1 data-end=&quot;346&quot; data-section-id=&quot;38j58z&quot; data-start=&quot;319&quot;&gt;What is a Learning Model?&lt;/h1&gt;
&lt;p data-end=&quot;461&quot; data-start=&quot;348&quot;&gt;A &lt;strong data-end=&quot;368&quot; data-start=&quot;350&quot;&gt;Learning Model&lt;/strong&gt; is a method used by a machine to learn patterns from data and make predictions or decisions.&lt;/p&gt;
&lt;p data-end=&quot;526&quot; data-start=&quot;463&quot;&gt;Just as humans learn from experience, machines learn from data.&lt;/p&gt;
&lt;h3 data-end=&quot;550&quot; data-section-id=&quot;77cvkw&quot; data-start=&quot;528&quot;&gt;Real-World Analogy&lt;/h3&gt;
&lt;p data-end=&quot;599&quot; data-start=&quot;552&quot;&gt;Imagine a student preparing for an examination.&lt;/p&gt;
&lt;ul data-end=&quot;756&quot; data-start=&quot;601&quot;&gt;&lt;li data-end=&quot;648&quot; data-section-id=&quot;1075ww5&quot; data-start=&quot;601&quot;&gt;
The student studies previous question papers.
&lt;/li&gt;&lt;li data-end=&quot;679&quot; data-section-id=&quot;1xuvtc&quot; data-start=&quot;649&quot;&gt;
Identifies important topics.
&lt;/li&gt;&lt;li data-end=&quot;711&quot; data-section-id=&quot;z5kk74&quot; data-start=&quot;680&quot;&gt;
Learns patterns in questions.
&lt;/li&gt;&lt;li data-end=&quot;756&quot; data-section-id=&quot;1e2hdu0&quot; data-start=&quot;712&quot;&gt;
Predicts what may appear in the next exam.
&lt;/li&gt;&lt;/ul&gt;
&lt;p data-end=&quot;768&quot; data-start=&quot;758&quot;&gt;Similarly,&lt;/p&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;859&quot; data-start=&quot;770&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Past Data&lt;/span&gt;&lt;br /&gt;&lt;span&gt;    ↓&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Learning Model&lt;/span&gt;&lt;br /&gt;&lt;span&gt;    ↓&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Knowledge Gained&lt;/span&gt;&lt;br /&gt;&lt;span&gt;    ↓&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Future Prediction&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;hr data-end=&quot;864&quot; data-start=&quot;861&quot; /&gt;
&lt;h1 data-end=&quot;892&quot; data-section-id=&quot;1mm7kb0&quot; data-start=&quot;866&quot;&gt;Types of Learning Models&lt;/h1&gt;
&lt;p data-end=&quot;945&quot; data-start=&quot;894&quot;&gt;Machine Learning mainly uses three learning models:&lt;/p&gt;
&lt;ol data-end=&quot;1020&quot; data-start=&quot;947&quot;&gt;&lt;li data-end=&quot;969&quot; data-section-id=&quot;1gqdowy&quot; data-start=&quot;947&quot;&gt;
Supervised Learning
&lt;/li&gt;&lt;li data-end=&quot;994&quot; data-section-id=&quot;xqol3u&quot; data-start=&quot;970&quot;&gt;
Unsupervised Learning
&lt;/li&gt;&lt;li data-end=&quot;1020&quot; data-section-id=&quot;ddbzmb&quot; data-start=&quot;995&quot;&gt;
Reinforcement Learning
&lt;/li&gt;&lt;/ol&gt;
&lt;hr data-end=&quot;1025&quot; data-start=&quot;1022&quot; /&gt;
&lt;h1 data-end=&quot;1057&quot; data-section-id=&quot;tdzm9a&quot; data-start=&quot;1027&quot;&gt;1. Supervised Learning Model&lt;/h1&gt;
&lt;h2 data-end=&quot;1072&quot; data-section-id=&quot;1ld1y28&quot; data-start=&quot;1059&quot;&gt;Definition&lt;/h2&gt;
&lt;p data-end=&quot;1139&quot; data-start=&quot;1074&quot;&gt;In Supervised Learning, the machine learns from &lt;strong data-end=&quot;1138&quot; data-start=&quot;1122&quot;&gt;labeled data&lt;/strong&gt;.&lt;/p&gt;
&lt;p data-end=&quot;1200&quot; data-start=&quot;1141&quot;&gt;Labeled data means both input and output are already known.&lt;/p&gt;
&lt;h3 data-end=&quot;1213&quot; data-section-id=&quot;1fz606r&quot; data-start=&quot;1202&quot;&gt;Diagram&lt;/h3&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;1349&quot; data-start=&quot;1215&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Input Data + Correct Output&lt;/span&gt;&lt;br /&gt;&lt;span&gt;           │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;           ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      Learning Model&lt;/span&gt;&lt;br /&gt;&lt;span&gt;           │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;           ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;     Prediction Model&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;hr data-end=&quot;1354&quot; data-start=&quot;1351&quot; /&gt;
&lt;h2 data-end=&quot;1403&quot; data-section-id=&quot;xl5lvc&quot; data-start=&quot;1356&quot;&gt;Real-World Example: Student Marks Prediction&lt;/h2&gt;
&lt;h3 data-end=&quot;1422&quot; data-section-id=&quot;1sxn506&quot; data-start=&quot;1405&quot;&gt;Training Data&lt;/h3&gt;
&lt;div class=&quot;TyagGW_tableContainer&quot;&gt;&lt;div class=&quot;group TyagGW_tableWrapper flex flex-col-reverse w-fit&quot; tabindex=&quot;-1&quot;&gt;&lt;table class=&quot;w-fit min-w-(--thread-content-width)&quot; data-end=&quot;1515&quot; data-start=&quot;1424&quot;&gt;&lt;thead data-end=&quot;1447&quot; data-start=&quot;1424&quot;&gt;&lt;tr data-end=&quot;1447&quot; data-start=&quot;1424&quot;&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;1438&quot; data-start=&quot;1424&quot;&gt;Study Hours&lt;/th&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;1447&quot; data-start=&quot;1438&quot;&gt;Marks&lt;/th&gt;&lt;/tr&gt;&lt;/thead&gt;&lt;tbody data-end=&quot;1515&quot; data-start=&quot;1472&quot;&gt;&lt;tr data-end=&quot;1482&quot; data-start=&quot;1472&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1476&quot; data-start=&quot;1472&quot;&gt;2&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1482&quot; data-start=&quot;1476&quot;&gt;30&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;1493&quot; data-start=&quot;1483&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1487&quot; data-start=&quot;1483&quot;&gt;4&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1493&quot; data-start=&quot;1487&quot;&gt;50&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;1504&quot; data-start=&quot;1494&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1498&quot; data-start=&quot;1494&quot;&gt;6&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1504&quot; data-start=&quot;1498&quot;&gt;70&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;1515&quot; data-start=&quot;1505&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1509&quot; data-start=&quot;1505&quot;&gt;8&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1515&quot; data-start=&quot;1509&quot;&gt;90&lt;/td&gt;&lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt;&lt;/div&gt;&lt;/div&gt;
&lt;p data-end=&quot;1536&quot; data-start=&quot;1517&quot;&gt;The machine learns:&lt;/p&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;1589&quot; data-start=&quot;1538&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;More Study Hours&lt;/span&gt;&lt;br /&gt;&lt;span&gt;        ↓&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Higher Marks&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;h3 data-end=&quot;1605&quot; data-section-id=&quot;13gk4ur&quot; data-start=&quot;1591&quot;&gt;Prediction&lt;/h3&gt;
&lt;p data-end=&quot;1641&quot; data-start=&quot;1607&quot;&gt;If a student studies for 10 hours,&lt;/p&gt;
&lt;p data-end=&quot;1662&quot; data-start=&quot;1643&quot;&gt;The model predicts:&lt;/p&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;1696&quot; data-start=&quot;1664&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Expected Marks ≈ 100&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;hr data-end=&quot;1701&quot; data-start=&quot;1698&quot; /&gt;
&lt;h2 data-end=&quot;1718&quot; data-section-id=&quot;mu966k&quot; data-start=&quot;1703&quot;&gt;Applications&lt;/h2&gt;
&lt;ul data-end=&quot;1803&quot; data-start=&quot;1720&quot;&gt;&lt;li data-end=&quot;1744&quot; data-section-id=&quot;167d3jo&quot; data-start=&quot;1720&quot;&gt;
House Price Prediction
&lt;/li&gt;&lt;li data-end=&quot;1766&quot; data-section-id=&quot;2pnjhn&quot; data-start=&quot;1745&quot;&gt;
Weather Forecasting
&lt;/li&gt;&lt;li data-end=&quot;1786&quot; data-section-id=&quot;5gjoyo&quot; data-start=&quot;1767&quot;&gt;
Medical Diagnosis
&lt;/li&gt;&lt;li data-end=&quot;1803&quot; data-section-id=&quot;ugcx3c&quot; data-start=&quot;1787&quot;&gt;
Spam Detection
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;1808&quot; data-start=&quot;1805&quot; /&gt;
&lt;h1 data-end=&quot;1842&quot; data-section-id=&quot;1sbmlee&quot; data-start=&quot;1810&quot;&gt;2. Unsupervised Learning Model&lt;/h1&gt;
&lt;h2 data-end=&quot;1857&quot; data-section-id=&quot;1ld1y28&quot; data-start=&quot;1844&quot;&gt;Definition&lt;/h2&gt;
&lt;p data-end=&quot;1928&quot; data-start=&quot;1859&quot;&gt;In Unsupervised Learning, the machine learns from &lt;strong data-end=&quot;1927&quot; data-start=&quot;1909&quot;&gt;unlabeled data&lt;/strong&gt;.&lt;/p&gt;
&lt;p data-end=&quot;1962&quot; data-start=&quot;1930&quot;&gt;No correct answers are provided.&lt;/p&gt;
&lt;p data-end=&quot;2012&quot; data-start=&quot;1964&quot;&gt;The machine discovers hidden patterns by itself.&lt;/p&gt;
&lt;h3 data-end=&quot;2025&quot; data-section-id=&quot;1fz606r&quot; data-start=&quot;2014&quot;&gt;Diagram&lt;/h3&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;2110&quot; data-start=&quot;2027&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Input Data&lt;/span&gt;&lt;br /&gt;&lt;span&gt;     │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;     ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Learning Model&lt;/span&gt;&lt;br /&gt;&lt;span&gt;     │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;     ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Pattern Discovery&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;hr data-end=&quot;2115&quot; data-start=&quot;2112&quot; /&gt;
&lt;h2 data-end=&quot;2161&quot; data-section-id=&quot;1eqybg8&quot; data-start=&quot;2117&quot;&gt;Real-World Example: Customer Segmentation&lt;/h2&gt;
&lt;p data-end=&quot;2195&quot; data-start=&quot;2163&quot;&gt;A supermarket has customer data:&lt;/p&gt;
&lt;div class=&quot;TyagGW_tableContainer&quot;&gt;&lt;div class=&quot;group TyagGW_tableWrapper flex flex-col-reverse w-fit&quot; tabindex=&quot;-1&quot;&gt;&lt;table class=&quot;w-fit min-w-(--thread-content-width)&quot; data-end=&quot;2311&quot; data-start=&quot;2197&quot;&gt;&lt;thead data-end=&quot;2227&quot; data-start=&quot;2197&quot;&gt;&lt;tr data-end=&quot;2227&quot; data-start=&quot;2197&quot;&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;2208&quot; data-start=&quot;2197&quot;&gt;Customer&lt;/th&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;2227&quot; data-start=&quot;2208&quot;&gt;Purchase Amount&lt;/th&gt;&lt;/tr&gt;&lt;/thead&gt;&lt;tbody data-end=&quot;2311&quot; data-start=&quot;2259&quot;&gt;&lt;tr data-end=&quot;2271&quot; data-start=&quot;2259&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;2263&quot; data-start=&quot;2259&quot;&gt;A&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;2271&quot; data-start=&quot;2263&quot;&gt;High&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;2283&quot; data-start=&quot;2272&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;2276&quot; data-start=&quot;2272&quot;&gt;B&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;2283&quot; data-start=&quot;2276&quot;&gt;Low&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;2296&quot; data-start=&quot;2284&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;2288&quot; data-start=&quot;2284&quot;&gt;C&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;2296&quot; data-start=&quot;2288&quot;&gt;High&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;2311&quot; data-start=&quot;2297&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;2301&quot; data-start=&quot;2297&quot;&gt;D&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;2311&quot; data-start=&quot;2301&quot;&gt;Medium&lt;/td&gt;&lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt;&lt;/div&gt;&lt;/div&gt;
&lt;p data-end=&quot;2356&quot; data-start=&quot;2313&quot;&gt;The machine automatically groups customers.&lt;/p&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;2490&quot; data-start=&quot;2358&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Customers&lt;/span&gt;&lt;br /&gt;&lt;span&gt;     │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;     ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;ML Algorithm&lt;/span&gt;&lt;br /&gt;&lt;span&gt;     │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;     ├── Premium Customers&lt;/span&gt;&lt;br /&gt;&lt;span&gt;     ├── Regular Customers&lt;/span&gt;&lt;br /&gt;&lt;span&gt;     └── New Customers&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;hr data-end=&quot;2495&quot; data-start=&quot;2492&quot; /&gt;
&lt;h2 data-end=&quot;2512&quot; data-section-id=&quot;mu966k&quot; data-start=&quot;2497&quot;&gt;Applications&lt;/h2&gt;
&lt;ul data-end=&quot;2602&quot; data-start=&quot;2514&quot;&gt;&lt;li data-end=&quot;2537&quot; data-section-id=&quot;2u44sy&quot; data-start=&quot;2514&quot;&gt;
Customer Segmentation
&lt;/li&gt;&lt;li data-end=&quot;2562&quot; data-section-id=&quot;1o9zzf8&quot; data-start=&quot;2538&quot;&gt;
Market Basket Analysis
&lt;/li&gt;&lt;li data-end=&quot;2580&quot; data-section-id=&quot;tx4jib&quot; data-start=&quot;2563&quot;&gt;
Fraud Detection
&lt;/li&gt;&lt;li data-end=&quot;2602&quot; data-section-id=&quot;af28q5&quot; data-start=&quot;2581&quot;&gt;
Document Clustering
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;2607&quot; data-start=&quot;2604&quot; /&gt;
&lt;h1 data-end=&quot;2642&quot; data-section-id=&quot;5kn1kv&quot; data-start=&quot;2609&quot;&gt;3. Reinforcement Learning Model&lt;/h1&gt;
&lt;h2 data-end=&quot;2657&quot; data-section-id=&quot;1ld1y28&quot; data-start=&quot;2644&quot;&gt;Definition&lt;/h2&gt;
&lt;p data-end=&quot;2735&quot; data-start=&quot;2659&quot;&gt;In Reinforcement Learning, the machine learns through rewards and penalties.&lt;/p&gt;
&lt;p data-end=&quot;2811&quot; data-start=&quot;2737&quot;&gt;The machine interacts with an environment and improves through experience.&lt;/p&gt;
&lt;h3 data-end=&quot;2824&quot; data-section-id=&quot;1fz606r&quot; data-start=&quot;2813&quot;&gt;Diagram&lt;/h3&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;2960&quot; data-start=&quot;2826&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Environment&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;     Agent&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;   Action&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Reward / Penalty&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Learning&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;hr data-end=&quot;2965&quot; data-start=&quot;2962&quot; /&gt;
&lt;h2 data-end=&quot;3016&quot; data-section-id=&quot;uyqmzx&quot; data-start=&quot;2967&quot;&gt;Real-World Example: Learning to Ride a Bicycle&lt;/h2&gt;
&lt;p data-end=&quot;3051&quot; data-start=&quot;3018&quot;&gt;A child learns to ride a bicycle.&lt;/p&gt;
&lt;h3 data-end=&quot;3064&quot; data-section-id=&quot;ydvvwt&quot; data-start=&quot;3053&quot;&gt;Process&lt;/h3&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;3200&quot; data-start=&quot;3066&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Ride Bicycle&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Falls Down&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Learns Mistake&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Tries Again&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Success&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;3249&quot; data-start=&quot;3202&quot;&gt;Similarly, machines learn from trial and error.&lt;/p&gt;
&lt;hr data-end=&quot;3254&quot; data-start=&quot;3251&quot; /&gt;
&lt;h2 data-end=&quot;3271&quot; data-section-id=&quot;mu966k&quot; data-start=&quot;3256&quot;&gt;Applications&lt;/h2&gt;
&lt;ul data-end=&quot;3342&quot; data-start=&quot;3273&quot;&gt;&lt;li data-end=&quot;3292&quot; data-section-id=&quot;1dzof83&quot; data-start=&quot;3273&quot;&gt;
Self-Driving Cars
&lt;/li&gt;&lt;li data-end=&quot;3303&quot; data-section-id=&quot;g0eet1&quot; data-start=&quot;3293&quot;&gt;
Robotics
&lt;/li&gt;&lt;li data-end=&quot;3318&quot; data-section-id=&quot;152vznm&quot; data-start=&quot;3304&quot;&gt;
Game Playing
&lt;/li&gt;&lt;li data-end=&quot;3342&quot; data-section-id=&quot;1d2m0vv&quot; data-start=&quot;3319&quot;&gt;
Smart Traffic Control
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;3347&quot; data-start=&quot;3344&quot; /&gt;
&lt;h1 data-end=&quot;3382&quot; data-section-id=&quot;11rnh4c&quot; data-start=&quot;3349&quot;&gt;Other Important Learning Models&lt;/h1&gt;
&lt;hr data-end=&quot;3387&quot; data-start=&quot;3384&quot; /&gt;
&lt;h1 data-end=&quot;3418&quot; data-section-id=&quot;zesmor&quot; data-start=&quot;3389&quot;&gt;4. Semi-Supervised Learning&lt;/h1&gt;
&lt;h2 data-end=&quot;3433&quot; data-section-id=&quot;1ld1y28&quot; data-start=&quot;3420&quot;&gt;Definition&lt;/h2&gt;
&lt;p data-end=&quot;3457&quot; data-start=&quot;3435&quot;&gt;Uses a combination of:&lt;/p&gt;
&lt;ul data-end=&quot;3522&quot; data-start=&quot;3459&quot;&gt;&lt;li data-end=&quot;3489&quot; data-section-id=&quot;15nvrr9&quot; data-start=&quot;3459&quot;&gt;
Small amount of labeled data
&lt;/li&gt;&lt;li data-end=&quot;3522&quot; data-section-id=&quot;1yvy670&quot; data-start=&quot;3490&quot;&gt;
Large amount of unlabeled data
&lt;/li&gt;&lt;/ul&gt;
&lt;h3 data-end=&quot;3546&quot; data-section-id=&quot;7g0z7f&quot; data-start=&quot;3524&quot;&gt;Real-World Example&lt;/h3&gt;
&lt;p data-end=&quot;3565&quot; data-start=&quot;3548&quot;&gt;Hospital records:&lt;/p&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;3653&quot; data-start=&quot;3567&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;1000 Patient Records&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ├── 100 Labeled&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      └── 900 Unlabeled&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;3692&quot; data-start=&quot;3655&quot;&gt;The model learns using both datasets.&lt;/p&gt;
&lt;h3 data-end=&quot;3710&quot; data-section-id=&quot;wggvqn&quot; data-start=&quot;3694&quot;&gt;Applications&lt;/h3&gt;
&lt;ul data-end=&quot;3775&quot; data-start=&quot;3712&quot;&gt;&lt;li data-end=&quot;3731&quot; data-section-id=&quot;5gjoyo&quot; data-start=&quot;3712&quot;&gt;
Medical Diagnosis
&lt;/li&gt;&lt;li data-end=&quot;3752&quot; data-section-id=&quot;15qgenb&quot; data-start=&quot;3732&quot;&gt;
Speech Recognition
&lt;/li&gt;&lt;li data-end=&quot;3775&quot; data-section-id=&quot;r47d15&quot; data-start=&quot;3753&quot;&gt;
Image Classification
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;3780&quot; data-start=&quot;3777&quot; /&gt;
&lt;h1 data-end=&quot;3811&quot; data-section-id=&quot;h4i35g&quot; data-start=&quot;3782&quot;&gt;5. Self-Supervised Learning&lt;/h1&gt;
&lt;h2 data-end=&quot;3826&quot; data-section-id=&quot;1ld1y28&quot; data-start=&quot;3813&quot;&gt;Definition&lt;/h2&gt;
&lt;p data-end=&quot;3887&quot; data-start=&quot;3828&quot;&gt;The model automatically creates labels from available data.&lt;/p&gt;
&lt;h3 data-end=&quot;3911&quot; data-section-id=&quot;7g0z7f&quot; data-start=&quot;3889&quot;&gt;Real-World Example&lt;/h3&gt;
&lt;p data-end=&quot;3937&quot; data-start=&quot;3913&quot;&gt;When reading a sentence:&lt;/p&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;3977&quot; data-start=&quot;3939&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;The sun rises in the _____&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;3998&quot; data-start=&quot;3979&quot;&gt;The model predicts:&lt;/p&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;4016&quot; data-start=&quot;4000&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;East&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;4074&quot; data-start=&quot;4018&quot;&gt;This prediction helps the model learn language patterns.&lt;/p&gt;
&lt;h3 data-end=&quot;4092&quot; data-section-id=&quot;wggvqn&quot; data-start=&quot;4076&quot;&gt;Applications&lt;/h3&gt;
&lt;ul data-end=&quot;4140&quot; data-start=&quot;4094&quot;&gt;&lt;li data-end=&quot;4104&quot; data-section-id=&quot;1yxiluk&quot; data-start=&quot;4094&quot;&gt;
Chatbots
&lt;/li&gt;&lt;li data-end=&quot;4122&quot; data-section-id=&quot;sx4di&quot; data-start=&quot;4105&quot;&gt;
Language Models
&lt;/li&gt;&lt;li data-end=&quot;4140&quot; data-section-id=&quot;iuykc3&quot; data-start=&quot;4123&quot;&gt;
Text Generation
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;4145&quot; data-start=&quot;4142&quot; /&gt;
&lt;h1 data-end=&quot;4178&quot; data-section-id=&quot;157i8ny&quot; data-start=&quot;4147&quot;&gt;Comparison of Learning Models&lt;/h1&gt;
&lt;div class=&quot;TyagGW_tableContainer&quot;&gt;&lt;div class=&quot;group TyagGW_tableWrapper flex flex-col-reverse w-fit&quot; tabindex=&quot;-1&quot;&gt;&lt;table class=&quot;w-fit min-w-(--thread-content-width)&quot; data-end=&quot;4530&quot; data-start=&quot;4180&quot;&gt;&lt;thead data-end=&quot;4235&quot; data-start=&quot;4180&quot;&gt;&lt;tr data-end=&quot;4235&quot; data-start=&quot;4180&quot;&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;4190&quot; data-start=&quot;4180&quot;&gt;Feature&lt;/th&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;4203&quot; data-start=&quot;4190&quot;&gt;Supervised&lt;/th&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;4218&quot; data-start=&quot;4203&quot;&gt;Unsupervised&lt;/th&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;4235&quot; data-start=&quot;4218&quot;&gt;Reinforcement&lt;/th&gt;&lt;/tr&gt;&lt;/thead&gt;&lt;tbody data-end=&quot;4530&quot; data-start=&quot;4292&quot;&gt;&lt;tr data-end=&quot;4324&quot; data-start=&quot;4292&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4307&quot; data-start=&quot;4292&quot;&gt;Labeled Data&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4313&quot; data-start=&quot;4307&quot;&gt;Yes&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4318&quot; data-start=&quot;4313&quot;&gt;No&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4324&quot; data-start=&quot;4318&quot;&gt;No&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;4357&quot; data-start=&quot;4325&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4340&quot; data-start=&quot;4325&quot;&gt;Output Known&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4346&quot; data-start=&quot;4340&quot;&gt;Yes&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4351&quot; data-start=&quot;4346&quot;&gt;No&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4357&quot; data-start=&quot;4351&quot;&gt;No&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;4405&quot; data-start=&quot;4358&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4372&quot; data-start=&quot;4358&quot;&gt;Learns From&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4383&quot; data-start=&quot;4372&quot;&gt;Examples&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4394&quot; data-start=&quot;4383&quot;&gt;Patterns&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4405&quot; data-start=&quot;4394&quot;&gt;Rewards&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;4456&quot; data-start=&quot;4406&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4413&quot; data-start=&quot;4406&quot;&gt;Goal&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4426&quot; data-start=&quot;4413&quot;&gt;Prediction&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4437&quot; data-start=&quot;4426&quot;&gt;Grouping&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4456&quot; data-start=&quot;4437&quot;&gt;Decision Making&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;4530&quot; data-start=&quot;4457&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4467&quot; data-start=&quot;4457&quot;&gt;Example&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4486&quot; data-start=&quot;4467&quot;&gt;Marks Prediction&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4510&quot; data-start=&quot;4486&quot;&gt;Customer Segmentation&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;4530&quot; data-start=&quot;4510&quot;&gt;Self-driving Car&lt;/td&gt;&lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt;&lt;/div&gt;&lt;/div&gt;
&lt;hr data-end=&quot;4535&quot; data-start=&quot;4532&quot; /&gt;
&lt;h1 data-end=&quot;4561&quot; data-section-id=&quot;g7j066&quot; data-start=&quot;4537&quot;&gt;Real-Life Applications&lt;/h1&gt;
&lt;h2 data-end=&quot;4573&quot; data-section-id=&quot;1mha77n&quot; data-start=&quot;4563&quot;&gt;Banking&lt;/h2&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;4670&quot; data-start=&quot;4575&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Customer Data&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Fraud Detection Model&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Fraud / Genuine&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;4692&quot; data-start=&quot;4672&quot;&gt;Learning Model Used:&lt;/p&gt;
&lt;ul data-end=&quot;4714&quot; data-start=&quot;4693&quot;&gt;&lt;li data-end=&quot;4714&quot; data-section-id=&quot;1kclxlc&quot; data-start=&quot;4693&quot;&gt;
Supervised Learning
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;4719&quot; data-start=&quot;4716&quot; /&gt;
&lt;h2 data-end=&quot;4739&quot; data-section-id=&quot;1oe59tq&quot; data-start=&quot;4721&quot;&gt;Online Shopping&lt;/h2&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;4841&quot; data-start=&quot;4741&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Purchase History&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Recommendation Model&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Suggested Products&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;4863&quot; data-start=&quot;4843&quot;&gt;Learning Model Used:&lt;/p&gt;
&lt;ul data-end=&quot;4887&quot; data-start=&quot;4864&quot;&gt;&lt;li data-end=&quot;4887&quot; data-section-id=&quot;ikizij&quot; data-start=&quot;4864&quot;&gt;
Unsupervised Learning
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;4892&quot; data-start=&quot;4889&quot; /&gt;
&lt;h2 data-end=&quot;4914&quot; data-section-id=&quot;6kmnlq&quot; data-start=&quot;4894&quot;&gt;Self-Driving Cars&lt;/h2&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;5014&quot; data-start=&quot;4916&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Road Conditions&lt;/span&gt;&lt;br /&gt;&lt;span&gt;       │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;       ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Driving Decisions&lt;/span&gt;&lt;br /&gt;&lt;span&gt;       │&lt;/span&gt;&lt;br /&gt;&lt;span&gt;       ▼&lt;/span&gt;&lt;br /&gt;&lt;span&gt;Reward / Penalty&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;5036&quot; data-start=&quot;5016&quot;&gt;Learning Model Used:&lt;/p&gt;
&lt;ul data-end=&quot;5061&quot; data-start=&quot;5037&quot;&gt;&lt;li data-end=&quot;5061&quot; data-section-id=&quot;159k3fn&quot; data-start=&quot;5037&quot;&gt;
Reinforcement Learning
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;5066&quot; data-start=&quot;5063&quot; /&gt;
&lt;h1 data-end=&quot;5105&quot; data-section-id=&quot;11hfg9k&quot; data-start=&quot;5068&quot;&gt;Python Example: Supervised Learning&lt;/h1&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;5433&quot; data-start=&quot;5107&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;relative h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute inset-x-4 top-12 bottom-4&quot;&gt;&lt;div class=&quot;pointer-events-none sticky z-40 shrink-0 z-1!&quot;&gt;&lt;div class=&quot;sticky bg-token-border-light&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span class=&quot;ͼg&quot;&gt;from&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;sklearn&lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;.&lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;linear_model&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;import&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;LinearRegression&lt;/span&gt;&lt;br /&gt;&lt;span class=&quot;ͼg&quot;&gt;import&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;numpy&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;as&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;np&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span class=&quot;ͼe&quot;&gt;# Training Data&lt;/span&gt;&lt;br /&gt;&lt;span class=&quot;ͼm&quot;&gt;X&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;=&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;np&lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;.&lt;/span&gt;&lt;span&gt;array([&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;1&lt;/span&gt;&lt;span&gt;,&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;2&lt;/span&gt;&lt;span&gt;,&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;3&lt;/span&gt;&lt;span&gt;,&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;4&lt;/span&gt;&lt;span&gt;,&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;5&lt;/span&gt;&lt;span&gt;])&lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;.&lt;/span&gt;&lt;span&gt;reshape(&lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;-&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;1&lt;/span&gt;&lt;span&gt;,&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;1&lt;/span&gt;&lt;span&gt;)&lt;/span&gt;&lt;br /&gt;&lt;span class=&quot;ͼm&quot;&gt;y&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;=&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;np&lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;.&lt;/span&gt;&lt;span&gt;array([&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;10&lt;/span&gt;&lt;span&gt;,&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;20&lt;/span&gt;&lt;span&gt;,&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;30&lt;/span&gt;&lt;span&gt;,&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;40&lt;/span&gt;&lt;span&gt;,&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;50&lt;/span&gt;&lt;span&gt;])&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span class=&quot;ͼe&quot;&gt;# Create Model&lt;/span&gt;&lt;br /&gt;&lt;span class=&quot;ͼm&quot;&gt;model&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;=&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;LinearRegression&lt;/span&gt;&lt;span&gt;()&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span class=&quot;ͼe&quot;&gt;# Train Model&lt;/span&gt;&lt;br /&gt;&lt;span class=&quot;ͼm&quot;&gt;model&lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;.&lt;/span&gt;&lt;span&gt;fit(&lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;X&lt;/span&gt;&lt;span&gt;,&lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;y&lt;/span&gt;&lt;span&gt;)&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span class=&quot;ͼe&quot;&gt;# Prediction&lt;/span&gt;&lt;br /&gt;&lt;span class=&quot;ͼm&quot;&gt;result&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;=&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;model&lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;.&lt;/span&gt;&lt;span&gt;predict([[&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;6&lt;/span&gt;&lt;span&gt;]])&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span class=&quot;ͼm&quot;&gt;print&lt;/span&gt;&lt;span&gt;(&lt;/span&gt;&lt;span class=&quot;ͼk&quot;&gt;&quot;Predicted Value =&quot;&lt;/span&gt;&lt;span&gt;, &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;result&lt;/span&gt;&lt;span&gt;[&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;0&lt;/span&gt;&lt;span&gt;])&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;h3 data-end=&quot;5445&quot; data-section-id=&quot;ho23qx&quot; data-start=&quot;5435&quot;&gt;Output&lt;/h3&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;5481&quot; data-start=&quot;5447&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Predicted Value = 60.0&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;hr data-end=&quot;5486&quot; data-start=&quot;5483&quot; /&gt;
&lt;h1 data-end=&quot;5509&quot; data-section-id=&quot;199a3eb&quot; data-start=&quot;5488&quot;&gt;Laboratory Exercise&lt;/h1&gt;
&lt;h3 data-end=&quot;5518&quot; data-section-id=&quot;1xxfcv7&quot; data-start=&quot;5511&quot;&gt;Aim&lt;/h3&gt;
&lt;p data-end=&quot;5580&quot; data-start=&quot;5520&quot;&gt;To understand different learning models in Machine Learning.&lt;/p&gt;
&lt;h3 data-end=&quot;5595&quot; data-section-id=&quot;cqth9n&quot; data-start=&quot;5582&quot;&gt;Procedure&lt;/h3&gt;
&lt;ol data-end=&quot;5745&quot; data-start=&quot;5597&quot;&gt;&lt;li data-end=&quot;5626&quot; data-section-id=&quot;cfcve&quot; data-start=&quot;5597&quot;&gt;
Study the learning models.
&lt;/li&gt;&lt;li data-end=&quot;5659&quot; data-section-id=&quot;1y1gtr1&quot; data-start=&quot;5627&quot;&gt;
Identify real-world examples.
&lt;/li&gt;&lt;li data-end=&quot;5710&quot; data-section-id=&quot;xtfahm&quot; data-start=&quot;5660&quot;&gt;
Implement a simple supervised learning program.
&lt;/li&gt;&lt;li data-end=&quot;5745&quot; data-section-id=&quot;phcwd9&quot; data-start=&quot;5711&quot;&gt;
Observe the prediction results.
&lt;/li&gt;&lt;/ol&gt;
&lt;h3 data-end=&quot;5757&quot; data-section-id=&quot;pjdswf&quot; data-start=&quot;5747&quot;&gt;Result&lt;/h3&gt;
&lt;p data-end=&quot;5851&quot; data-start=&quot;5759&quot;&gt;The various learning models and their applications were successfully studied and understood.&lt;/p&gt;
&lt;hr data-end=&quot;5856&quot; data-start=&quot;5853&quot; /&gt;
&lt;h1 data-end=&quot;5874&quot; data-section-id=&quot;2rjcyb&quot; data-start=&quot;5858&quot;&gt;Viva Questions&lt;/h1&gt;
&lt;ol data-end=&quot;6231&quot; data-start=&quot;5876&quot;&gt;&lt;li data-end=&quot;5904&quot; data-section-id=&quot;e0y7fz&quot; data-start=&quot;5876&quot;&gt;
What is a learning model?
&lt;/li&gt;&lt;li data-end=&quot;5935&quot; data-section-id=&quot;p99hfu&quot; data-start=&quot;5905&quot;&gt;
Define supervised learning.
&lt;/li&gt;&lt;li data-end=&quot;5968&quot; data-section-id=&quot;14fzk9c&quot; data-start=&quot;5936&quot;&gt;
Define unsupervised learning.
&lt;/li&gt;&lt;li data-end=&quot;6003&quot; data-section-id=&quot;rtrkaj&quot; data-start=&quot;5969&quot;&gt;
What is reinforcement learning?
&lt;/li&gt;&lt;li data-end=&quot;6056&quot; data-section-id=&quot;r30vc0&quot; data-start=&quot;6004&quot;&gt;
Give a real-world example of supervised learning.
&lt;/li&gt;&lt;li data-end=&quot;6081&quot; data-section-id=&quot;12fdqat&quot; data-start=&quot;6057&quot;&gt;
What is labeled data?
&lt;/li&gt;&lt;li data-end=&quot;6115&quot; data-section-id=&quot;k4aemh&quot; data-start=&quot;6082&quot;&gt;
What is customer segmentation?
&lt;/li&gt;&lt;li data-end=&quot;6156&quot; data-section-id=&quot;1hg4jwr&quot; data-start=&quot;6116&quot;&gt;
How does reinforcement learning work?
&lt;/li&gt;&lt;li data-end=&quot;6193&quot; data-section-id=&quot;htcym2&quot; data-start=&quot;6157&quot;&gt;
What is semi-supervised learning?
&lt;/li&gt;&lt;li data-end=&quot;6231&quot; data-section-id=&quot;12on3ho&quot; data-start=&quot;6194&quot;&gt;
What is self-supervised learning?
&lt;/li&gt;&lt;/ol&gt;
&lt;hr data-end=&quot;6236&quot; data-start=&quot;6233&quot; /&gt;
&lt;h1 data-end=&quot;6244&quot; data-section-id=&quot;1htghai&quot; data-start=&quot;6238&quot;&gt;MCQs&lt;/h1&gt;
&lt;h3 data-end=&quot;6292&quot; data-section-id=&quot;5ymmkn&quot; data-start=&quot;6246&quot;&gt;1. Which learning model uses labeled data?&lt;/h3&gt;
&lt;p data-end=&quot;6387&quot; data-start=&quot;6294&quot;&gt;A) Reinforcement Learning&lt;br data-end=&quot;6322&quot; data-start=&quot;6319&quot; /&gt;
B) Unsupervised Learning&lt;br data-end=&quot;6349&quot; data-start=&quot;6346&quot; /&gt;
C) Supervised Learning&lt;br data-end=&quot;6374&quot; data-start=&quot;6371&quot; /&gt;
D) Clustering&lt;/p&gt;
&lt;p data-end=&quot;6402&quot; data-start=&quot;6389&quot;&gt;&lt;strong data-end=&quot;6400&quot; data-start=&quot;6389&quot;&gt;Answer:&lt;/strong&gt; C&lt;/p&gt;
&lt;h3 data-end=&quot;6450&quot; data-section-id=&quot;f8a1ce&quot; data-start=&quot;6404&quot;&gt;2. Customer segmentation is an example of:&lt;/h3&gt;
&lt;p data-end=&quot;6548&quot; data-start=&quot;6452&quot;&gt;A) Supervised Learning&lt;br data-end=&quot;6477&quot; data-start=&quot;6474&quot; /&gt;
B) Unsupervised Learning&lt;br data-end=&quot;6504&quot; data-start=&quot;6501&quot; /&gt;
C) Reinforcement Learning&lt;br data-end=&quot;6532&quot; data-start=&quot;6529&quot; /&gt;
D) Deep Learning&lt;/p&gt;
&lt;p data-end=&quot;6563&quot; data-start=&quot;6550&quot;&gt;&lt;strong data-end=&quot;6561&quot; data-start=&quot;6550&quot;&gt;Answer:&lt;/strong&gt; B&lt;/p&gt;
&lt;h3 data-end=&quot;6601&quot; data-section-id=&quot;mxh4kn&quot; data-start=&quot;6565&quot;&gt;3. Self-driving cars mainly use:&lt;/h3&gt;
&lt;p data-end=&quot;6685&quot; data-start=&quot;6603&quot;&gt;A) Supervised Learning&lt;br data-end=&quot;6628&quot; data-start=&quot;6625&quot; /&gt;
B) Reinforcement Learning&lt;br data-end=&quot;6656&quot; data-start=&quot;6653&quot; /&gt;
C) Clustering&lt;br data-end=&quot;6672&quot; data-start=&quot;6669&quot; /&gt;
D) Regression&lt;/p&gt;
&lt;p data-end=&quot;6700&quot; data-start=&quot;6687&quot;&gt;&lt;strong data-end=&quot;6698&quot; data-start=&quot;6687&quot;&gt;Answer:&lt;/strong&gt; B&lt;/p&gt;
&lt;h3 data-end=&quot;6750&quot; data-section-id=&quot;co2i8g&quot; data-start=&quot;6702&quot;&gt;4. Which learning model learns from rewards?&lt;/h3&gt;
&lt;p data-end=&quot;6852&quot; data-start=&quot;6752&quot;&gt;A) Supervised Learning&lt;br data-end=&quot;6777&quot; data-start=&quot;6774&quot; /&gt;
B) Semi-Supervised Learning&lt;br data-end=&quot;6807&quot; data-start=&quot;6804&quot; /&gt;
C) Reinforcement Learning&lt;br data-end=&quot;6835&quot; data-start=&quot;6832&quot; /&gt;
D) Classification&lt;/p&gt;
&lt;p data-end=&quot;6867&quot; data-start=&quot;6854&quot;&gt;&lt;strong data-end=&quot;6865&quot; data-start=&quot;6854&quot;&gt;Answer:&lt;/strong&gt; C&lt;/p&gt;
&lt;h3 data-end=&quot;6919&quot; data-section-id=&quot;1wj77yr&quot; data-start=&quot;6869&quot;&gt;5. Spam detection is commonly performed using:&lt;/h3&gt;
&lt;p data-end=&quot;7010&quot; data-start=&quot;6921&quot;&gt;A) Supervised Learning&lt;br data-end=&quot;6946&quot; data-start=&quot;6943&quot; /&gt;
B) Reinforcement Learning&lt;br data-end=&quot;6974&quot; data-start=&quot;6971&quot; /&gt;
C) Clustering&lt;br data-end=&quot;6990&quot; data-start=&quot;6987&quot; /&gt;
D) Association Rules&lt;/p&gt;
&lt;p data-end=&quot;7025&quot; data-start=&quot;7012&quot;&gt;&lt;strong data-end=&quot;7023&quot; data-start=&quot;7012&quot;&gt;Answer:&lt;/strong&gt; A&lt;/p&gt;
&lt;hr data-end=&quot;7030&quot; data-start=&quot;7027&quot; /&gt;
&lt;h1 data-end=&quot;7041&quot; data-section-id=&quot;1jxv0q2&quot; data-start=&quot;7032&quot;&gt;Summary&lt;/h1&gt;
&lt;p data-end=&quot;7150&quot; data-start=&quot;7043&quot;&gt;A &lt;strong data-end=&quot;7063&quot; data-start=&quot;7045&quot;&gt;Learning Model&lt;/strong&gt; is the method through which a machine learns from data. The major learning models are:&lt;/p&gt;
&lt;ol data-end=&quot;7494&quot; data-start=&quot;7152&quot;&gt;&lt;li data-end=&quot;7206&quot; data-section-id=&quot;10e8zax&quot; data-start=&quot;7152&quot;&gt;
&lt;strong data-end=&quot;7178&quot; data-start=&quot;7155&quot;&gt;Supervised Learning&lt;/strong&gt; – Learns from labeled data.
&lt;/li&gt;&lt;li data-end=&quot;7278&quot; data-section-id=&quot;2helfv&quot; data-start=&quot;7207&quot;&gt;
&lt;strong data-end=&quot;7235&quot; data-start=&quot;7210&quot;&gt;Unsupervised Learning&lt;/strong&gt; – Finds hidden patterns in unlabeled data.
&lt;/li&gt;&lt;li data-end=&quot;7348&quot; data-section-id=&quot;1tes8jk&quot; data-start=&quot;7279&quot;&gt;
&lt;strong data-end=&quot;7308&quot; data-start=&quot;7282&quot;&gt;Reinforcement Learning&lt;/strong&gt; – Learns through rewards and penalties.
&lt;/li&gt;&lt;li data-end=&quot;7420&quot; data-section-id=&quot;14scddw&quot; data-start=&quot;7349&quot;&gt;
&lt;strong data-end=&quot;7380&quot; data-start=&quot;7352&quot;&gt;Semi-Supervised Learning&lt;/strong&gt; – Uses both labeled and unlabeled data.
&lt;/li&gt;&lt;li data-end=&quot;7494&quot; data-section-id=&quot;1thoai3&quot; data-start=&quot;7421&quot;&gt;
&lt;strong data-end=&quot;7452&quot; data-start=&quot;7424&quot;&gt;Self-Supervised Learning&lt;/strong&gt; – Creates labels automatically from data.
&lt;/li&gt;&lt;/ol&gt;
&lt;p data-end=&quot;7671&quot; data-is-last-node=&quot;&quot; data-is-only-node=&quot;&quot; data-start=&quot;7496&quot;&gt;These learning models are widely used in image recognition, speech processing, recommendation systems, healthcare, banking, robotics, and artificial intelligence applications.&lt;/p&gt;&lt;p&gt;&amp;nbsp;&lt;/p&gt;&lt;h1 data-end=&quot;38&quot; data-section-id=&quot;1l9yo11&quot; data-start=&quot;0&quot;&gt;&lt;span style=&quot;color: #2b00fe;&quot;&gt;Geometric Models in Machine Learning&lt;/span&gt;&lt;/h1&gt;
&lt;h2 data-end=&quot;75&quot; data-section-id=&quot;1oh2f8s&quot; data-start=&quot;39&quot;&gt;From Basic to Advanced (PG Level)&lt;/h2&gt;
&lt;h2 data-end=&quot;99&quot; data-section-id=&quot;1scsphp&quot; data-start=&quot;77&quot;&gt;Learning Objectives&lt;/h2&gt;
&lt;p data-end=&quot;156&quot; data-start=&quot;101&quot;&gt;After completing this lesson, students will be able to:&lt;/p&gt;
&lt;ul data-end=&quot;439&quot; data-start=&quot;158&quot;&gt;&lt;li data-end=&quot;203&quot; data-section-id=&quot;woolvr&quot; data-start=&quot;158&quot;&gt;
Understand the concept of Geometric Models.
&lt;/li&gt;&lt;li data-end=&quot;252&quot; data-section-id=&quot;1s06yrb&quot; data-start=&quot;204&quot;&gt;
Explain how data is represented geometrically.
&lt;/li&gt;&lt;li data-end=&quot;304&quot; data-section-id=&quot;yh9s9j&quot; data-start=&quot;253&quot;&gt;
Understand feature space and decision boundaries.
&lt;/li&gt;&lt;li data-end=&quot;371&quot; data-section-id=&quot;fzr3yn&quot; data-start=&quot;305&quot;&gt;
Learn geometric interpretation of classification and clustering.
&lt;/li&gt;&lt;li data-end=&quot;439&quot; data-section-id=&quot;pnbwi7&quot; data-start=&quot;372&quot;&gt;
Apply geometric concepts to real-world machine learning problems.
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;444&quot; data-start=&quot;441&quot; /&gt;
&lt;h1 data-end=&quot;483&quot; data-section-id=&quot;1oc31yv&quot; data-start=&quot;446&quot;&gt;1. Introduction to Geometric Models&lt;/h1&gt;
&lt;p data-end=&quot;544&quot; data-start=&quot;485&quot;&gt;Machine Learning can be viewed from different perspectives:&lt;/p&gt;
&lt;ol data-end=&quot;599&quot; data-start=&quot;546&quot;&gt;&lt;li data-end=&quot;565&quot; data-section-id=&quot;cy2auk&quot; data-start=&quot;546&quot;&gt;
Statistical View
&lt;/li&gt;&lt;li data-end=&quot;581&quot; data-section-id=&quot;1pxrptj&quot; data-start=&quot;566&quot;&gt;
Logical View
&lt;/li&gt;&lt;li data-end=&quot;599&quot; data-section-id=&quot;8eoyyk&quot; data-start=&quot;582&quot;&gt;
Geometric View
&lt;/li&gt;&lt;/ol&gt;
&lt;p data-end=&quot;670&quot; data-start=&quot;601&quot;&gt;A &lt;strong data-end=&quot;622&quot; data-start=&quot;603&quot;&gt;Geometric Model&lt;/strong&gt; represents data as points in a geometric space.&lt;/p&gt;
&lt;p data-end=&quot;744&quot; data-start=&quot;672&quot;&gt;The machine learns by finding geometric relationships among data points.&lt;/p&gt;
&lt;h3 data-end=&quot;767&quot; data-section-id=&quot;1c7po2l&quot; data-start=&quot;746&quot;&gt;Simple Definition&lt;/h3&gt;
&lt;blockquote data-end=&quot;956&quot; data-start=&quot;769&quot;&gt;
&lt;p data-end=&quot;956&quot; data-start=&quot;771&quot;&gt;A Geometric Model is a machine learning model that represents data as points, lines, planes, or regions in a multidimensional space and uses geometric relationships to make predictions.&lt;/p&gt;
&lt;/blockquote&gt;
&lt;hr data-end=&quot;961&quot; data-start=&quot;958&quot; /&gt;
&lt;h1 data-end=&quot;986&quot; data-section-id=&quot;laregs&quot; data-start=&quot;963&quot;&gt;2. Real-World Analogy&lt;/h1&gt;
&lt;p data-end=&quot;1044&quot; data-start=&quot;988&quot;&gt;Imagine a classroom where students are grouped based on:&lt;/p&gt;
&lt;ul data-end=&quot;1063&quot; data-start=&quot;1046&quot;&gt;&lt;li data-end=&quot;1054&quot; data-section-id=&quot;1mrm1fb&quot; data-start=&quot;1046&quot;&gt;
Height
&lt;/li&gt;&lt;li data-end=&quot;1063&quot; data-section-id=&quot;8rusg8&quot; data-start=&quot;1055&quot;&gt;
Weight
&lt;/li&gt;&lt;/ul&gt;
&lt;p data-end=&quot;1108&quot; data-start=&quot;1065&quot;&gt;Each student can be represented as a point.&lt;/p&gt;
&lt;h3 data-end=&quot;1121&quot; data-section-id=&quot;16zgw4u&quot; data-start=&quot;1110&quot;&gt;Example&lt;/h3&gt;
&lt;div class=&quot;TyagGW_tableContainer&quot;&gt;&lt;div class=&quot;group TyagGW_tableWrapper flex flex-col-reverse w-fit&quot; tabindex=&quot;-1&quot;&gt;&lt;table class=&quot;w-fit min-w-(--thread-content-width)&quot; data-end=&quot;1236&quot; data-start=&quot;1123&quot;&gt;&lt;thead data-end=&quot;1152&quot; data-start=&quot;1123&quot;&gt;&lt;tr data-end=&quot;1152&quot; data-start=&quot;1123&quot;&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;1133&quot; data-start=&quot;1123&quot;&gt;Student&lt;/th&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;1142&quot; data-start=&quot;1133&quot;&gt;Height&lt;/th&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;1152&quot; data-start=&quot;1142&quot;&gt;Weight&lt;/th&gt;&lt;/tr&gt;&lt;/thead&gt;&lt;tbody data-end=&quot;1236&quot; data-start=&quot;1186&quot;&gt;&lt;tr data-end=&quot;1202&quot; data-start=&quot;1186&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1190&quot; data-start=&quot;1186&quot;&gt;A&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1196&quot; data-start=&quot;1190&quot;&gt;160&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1202&quot; data-start=&quot;1196&quot;&gt;50&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;1219&quot; data-start=&quot;1203&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1207&quot; data-start=&quot;1203&quot;&gt;B&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1213&quot; data-start=&quot;1207&quot;&gt;170&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1219&quot; data-start=&quot;1213&quot;&gt;60&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;1236&quot; data-start=&quot;1220&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1224&quot; data-start=&quot;1220&quot;&gt;C&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1230&quot; data-start=&quot;1224&quot;&gt;180&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;1236&quot; data-start=&quot;1230&quot;&gt;80&lt;/td&gt;&lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt;&lt;/div&gt;&lt;/div&gt;
&lt;p data-end=&quot;1250&quot; data-start=&quot;1238&quot;&gt;Graphically:&lt;/p&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;1349&quot; data-start=&quot;1252&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Weight&lt;/span&gt;&lt;br /&gt;&lt;span&gt;  ^&lt;/span&gt;&lt;br /&gt;&lt;span&gt;80|          C&lt;/span&gt;&lt;br /&gt;&lt;span&gt;70|&lt;/span&gt;&lt;br /&gt;&lt;span&gt;60|      B&lt;/span&gt;&lt;br /&gt;&lt;span&gt;50|  A&lt;/span&gt;&lt;br /&gt;&lt;span&gt;  +--------------------&amp;gt;&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      Height&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;1389&quot; data-start=&quot;1351&quot;&gt;Each student becomes a point in space.&lt;/p&gt;
&lt;p data-end=&quot;1438&quot; data-start=&quot;1391&quot;&gt;This is the basic idea behind geometric models.&lt;/p&gt;
&lt;hr data-end=&quot;1443&quot; data-start=&quot;1440&quot; /&gt;
&lt;h1 data-end=&quot;1463&quot; data-section-id=&quot;16vq5xn&quot; data-start=&quot;1445&quot;&gt;3. Feature Space&lt;/h1&gt;
&lt;p data-end=&quot;1549&quot; data-start=&quot;1465&quot;&gt;A Feature Space is a mathematical space where each feature represents one dimension.&lt;/p&gt;
&lt;h3 data-end=&quot;1562&quot; data-section-id=&quot;16zgw4u&quot; data-start=&quot;1551&quot;&gt;Example&lt;/h3&gt;
&lt;p data-end=&quot;1586&quot; data-start=&quot;1564&quot;&gt;House Price Prediction&lt;/p&gt;
&lt;p data-end=&quot;1597&quot; data-start=&quot;1588&quot;&gt;Features:&lt;/p&gt;
&lt;ul data-end=&quot;1626&quot; data-start=&quot;1599&quot;&gt;&lt;li data-end=&quot;1605&quot; data-section-id=&quot;1j435sv&quot; data-start=&quot;1599&quot;&gt;
Area
&lt;/li&gt;&lt;li data-end=&quot;1626&quot; data-section-id=&quot;hu8rjh&quot; data-start=&quot;1606&quot;&gt;
Number of Bedrooms
&lt;/li&gt;&lt;/ul&gt;
&lt;p data-end=&quot;1659&quot; data-start=&quot;1628&quot;&gt;Two features create a 2D space.&lt;/p&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;1752&quot; data-start=&quot;1661&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Bedrooms&lt;/span&gt;&lt;br /&gt;&lt;span&gt;    ^&lt;/span&gt;&lt;br /&gt;&lt;span&gt;4   |&lt;/span&gt;&lt;br /&gt;&lt;span&gt;3   |     *&lt;/span&gt;&lt;br /&gt;&lt;span&gt;2   |  *&lt;/span&gt;&lt;br /&gt;&lt;span&gt;1   |*&lt;/span&gt;&lt;br /&gt;&lt;span&gt;    +------------&amp;gt;&lt;/span&gt;&lt;br /&gt;&lt;span&gt;       Area&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;1781&quot; data-start=&quot;1754&quot;&gt;Each house becomes a point.&lt;/p&gt;
&lt;hr data-end=&quot;1786&quot; data-start=&quot;1783&quot; /&gt;
&lt;h1 data-end=&quot;1823&quot; data-section-id=&quot;199inrh&quot; data-start=&quot;1788&quot;&gt;4. Dimensions in Geometric Models&lt;/h1&gt;
&lt;h3 data-end=&quot;1850&quot; data-section-id=&quot;1et62ra&quot; data-start=&quot;1825&quot;&gt;One-Dimensional Space&lt;/h3&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;1887&quot; data-start=&quot;1852&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;10 --- 20 --- 30 --- 40&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;1897&quot; data-start=&quot;1889&quot;&gt;Example:&lt;/p&gt;
&lt;ul data-end=&quot;1915&quot; data-start=&quot;1898&quot;&gt;&lt;li data-end=&quot;1915&quot; data-section-id=&quot;p255xy&quot; data-start=&quot;1898&quot;&gt;
Age of a person
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;1920&quot; data-start=&quot;1917&quot; /&gt;
&lt;h3 data-end=&quot;1947&quot; data-section-id=&quot;1pbz9su&quot; data-start=&quot;1922&quot;&gt;Two-Dimensional Space&lt;/h3&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;2010&quot; data-start=&quot;1949&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;      Y&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ^&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      |&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      |&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      +-------&amp;gt; X&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;2020&quot; data-start=&quot;2012&quot;&gt;Example:&lt;/p&gt;
&lt;ul data-end=&quot;2040&quot; data-start=&quot;2021&quot;&gt;&lt;li data-end=&quot;2040&quot; data-section-id=&quot;13f8aws&quot; data-start=&quot;2021&quot;&gt;
Height and Weight
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;2045&quot; data-start=&quot;2042&quot; /&gt;
&lt;h3 data-end=&quot;2074&quot; data-section-id=&quot;3mjue4&quot; data-start=&quot;2047&quot;&gt;Three-Dimensional Space&lt;/h3&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;2144&quot; data-start=&quot;2076&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;        Z&lt;/span&gt;&lt;br /&gt;&lt;span&gt;       /&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      /&lt;/span&gt;&lt;br /&gt;&lt;span&gt;     /&lt;/span&gt;&lt;br /&gt;&lt;span&gt;    O------ Y&lt;/span&gt;&lt;br /&gt;&lt;span&gt;   /&lt;/span&gt;&lt;br /&gt;&lt;span&gt;  X&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;2154&quot; data-start=&quot;2146&quot;&gt;Example:&lt;/p&gt;
&lt;ul data-end=&quot;2178&quot; data-start=&quot;2155&quot;&gt;&lt;li data-end=&quot;2163&quot; data-section-id=&quot;1mrm1fb&quot; data-start=&quot;2155&quot;&gt;
Height
&lt;/li&gt;&lt;li data-end=&quot;2172&quot; data-section-id=&quot;8rusg8&quot; data-start=&quot;2164&quot;&gt;
Weight
&lt;/li&gt;&lt;li data-end=&quot;2178&quot; data-section-id=&quot;1o4g97&quot; data-start=&quot;2173&quot;&gt;
Age
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;2183&quot; data-start=&quot;2180&quot; /&gt;
&lt;h3 data-end=&quot;2212&quot; data-section-id=&quot;nzc42j&quot; data-start=&quot;2185&quot;&gt;Multi-Dimensional Space&lt;/h3&gt;
&lt;p data-end=&quot;2240&quot; data-start=&quot;2214&quot;&gt;Real ML datasets may have:&lt;/p&gt;
&lt;ul data-end=&quot;2286&quot; data-start=&quot;2242&quot;&gt;&lt;li data-end=&quot;2255&quot; data-section-id=&quot;mqd8u&quot; data-start=&quot;2242&quot;&gt;
10 Features
&lt;/li&gt;&lt;li data-end=&quot;2270&quot; data-section-id=&quot;ap4u5a&quot; data-start=&quot;2256&quot;&gt;
100 Features
&lt;/li&gt;&lt;li data-end=&quot;2286&quot; data-section-id=&quot;17ltnym&quot; data-start=&quot;2271&quot;&gt;
1000 Features
&lt;/li&gt;&lt;/ul&gt;
&lt;p data-end=&quot;2326&quot; data-start=&quot;2288&quot;&gt;This is called High-Dimensional Space.&lt;/p&gt;
&lt;hr data-end=&quot;2331&quot; data-start=&quot;2328&quot; /&gt;
&lt;h1 data-end=&quot;2355&quot; data-section-id=&quot;zuwbbp&quot; data-start=&quot;2333&quot;&gt;5. Decision Boundary&lt;/h1&gt;
&lt;p data-end=&quot;2405&quot; data-start=&quot;2357&quot;&gt;A Decision Boundary separates different classes.&lt;/p&gt;
&lt;h3 data-end=&quot;2441&quot; data-section-id=&quot;173y1o8&quot; data-start=&quot;2407&quot;&gt;Example: Pass vs Fail Students&lt;/h3&gt;
&lt;div class=&quot;TyagGW_tableContainer&quot;&gt;&lt;div class=&quot;group TyagGW_tableWrapper flex flex-col-reverse w-fit&quot; tabindex=&quot;-1&quot;&gt;&lt;table class=&quot;w-fit min-w-(--thread-content-width)&quot; data-end=&quot;2525&quot; data-start=&quot;2443&quot;&gt;&lt;thead data-end=&quot;2461&quot; data-start=&quot;2443&quot;&gt;&lt;tr data-end=&quot;2461&quot; data-start=&quot;2443&quot;&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;2451&quot; data-start=&quot;2443&quot;&gt;Marks&lt;/th&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;2461&quot; data-start=&quot;2451&quot;&gt;Result&lt;/th&gt;&lt;/tr&gt;&lt;/thead&gt;&lt;tbody data-end=&quot;2525&quot; data-start=&quot;2484&quot;&gt;&lt;tr data-end=&quot;2497&quot; data-start=&quot;2484&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;2489&quot; data-start=&quot;2484&quot;&gt;35&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;2497&quot; data-start=&quot;2489&quot;&gt;Fail&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;2511&quot; data-start=&quot;2498&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;2503&quot; data-start=&quot;2498&quot;&gt;45&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;2511&quot; data-start=&quot;2503&quot;&gt;Pass&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;2525&quot; data-start=&quot;2512&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;2517&quot; data-start=&quot;2512&quot;&gt;70&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;2525&quot; data-start=&quot;2517&quot;&gt;Pass&lt;/td&gt;&lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt;&lt;/div&gt;&lt;/div&gt;
&lt;p data-end=&quot;2545&quot; data-start=&quot;2527&quot;&gt;Decision Boundary:&lt;/p&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;2596&quot; data-start=&quot;2547&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Fail      Pass&lt;/span&gt;&lt;br /&gt;&lt;span&gt;|-----------|&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      40&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;2627&quot; data-start=&quot;2598&quot;&gt;40 marks become the boundary.&lt;/p&gt;
&lt;hr data-end=&quot;2632&quot; data-start=&quot;2629&quot; /&gt;
&lt;h1 data-end=&quot;2654&quot; data-section-id=&quot;1mideaj&quot; data-start=&quot;2634&quot;&gt;Real-World Example&lt;/h1&gt;
&lt;p data-end=&quot;2674&quot; data-start=&quot;2656&quot;&gt;Bank Loan Approval&lt;/p&gt;
&lt;p data-end=&quot;2685&quot; data-start=&quot;2676&quot;&gt;Features:&lt;/p&gt;
&lt;ul data-end=&quot;2710&quot; data-start=&quot;2687&quot;&gt;&lt;li data-end=&quot;2695&quot; data-section-id=&quot;1rba82z&quot; data-start=&quot;2687&quot;&gt;
Income
&lt;/li&gt;&lt;li data-end=&quot;2710&quot; data-section-id=&quot;4r4u5p&quot; data-start=&quot;2696&quot;&gt;
Credit Score
&lt;/li&gt;&lt;/ul&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;2848&quot; data-start=&quot;2712&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Credit Score&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      ^&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      |&lt;/span&gt;&lt;br /&gt;&lt;span&gt; Approved&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      |&lt;/span&gt;&lt;br /&gt;&lt;span&gt;------Boundary-------&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      |&lt;/span&gt;&lt;br /&gt;&lt;span&gt; Rejected&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      +------------&amp;gt;&lt;/span&gt;&lt;br /&gt;&lt;span&gt;          Income&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;2919&quot; data-start=&quot;2850&quot;&gt;The model creates a line separating approved and rejected applicants.&lt;/p&gt;
&lt;hr data-end=&quot;2924&quot; data-start=&quot;2921&quot; /&gt;
&lt;h1 data-end=&quot;2973&quot; data-section-id=&quot;9wpxe&quot; data-start=&quot;2926&quot;&gt;6. Geometric Interpretation of Classification&lt;/h1&gt;
&lt;p data-end=&quot;3019&quot; data-start=&quot;2975&quot;&gt;Classification divides data into categories.&lt;/p&gt;
&lt;h3 data-end=&quot;3054&quot; data-section-id=&quot;jtc11q&quot; data-start=&quot;3021&quot;&gt;Example: Email Classification&lt;/h3&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;3199&quot; data-start=&quot;3056&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Spam Emails      Genuine Emails&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span&gt;   * * *            o o o&lt;/span&gt;&lt;br /&gt;&lt;span&gt;   * * *            o o o&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span&gt;--------------------------&lt;/span&gt;&lt;br /&gt;&lt;span&gt; Decision Boundary&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;3266&quot; data-start=&quot;3201&quot;&gt;The geometric model learns where to draw the separating boundary.&lt;/p&gt;
&lt;hr data-end=&quot;3271&quot; data-start=&quot;3268&quot; /&gt;
&lt;h1 data-end=&quot;3301&quot; data-section-id=&quot;1ue2mc7&quot; data-start=&quot;3273&quot;&gt;7. Linear Geometric Models&lt;/h1&gt;
&lt;p data-end=&quot;3355&quot; data-start=&quot;3303&quot;&gt;A Linear Model separates data using a straight line.&lt;/p&gt;
&lt;h3 data-end=&quot;3368&quot; data-section-id=&quot;16zgw4u&quot; data-start=&quot;3357&quot;&gt;Example&lt;/h3&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;3484&quot; data-start=&quot;3370&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Class A    |    Class B&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span&gt; * * *     |      o o o&lt;/span&gt;&lt;br /&gt;&lt;span&gt; * * *     |      o o o&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span&gt;------------Line------------&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;3495&quot; data-start=&quot;3486&quot;&gt;Examples:&lt;/p&gt;
&lt;ul data-end=&quot;3551&quot; data-start=&quot;3497&quot;&gt;&lt;li data-end=&quot;3516&quot; data-section-id=&quot;1xw6u3e&quot; data-start=&quot;3497&quot;&gt;
Linear Regression
&lt;/li&gt;&lt;li data-end=&quot;3538&quot; data-section-id=&quot;1ie3ron&quot; data-start=&quot;3517&quot;&gt;
Logistic Regression
&lt;/li&gt;&lt;li data-end=&quot;3551&quot; data-section-id=&quot;12882vx&quot; data-start=&quot;3539&quot;&gt;
Linear SVM
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;3556&quot; data-start=&quot;3553&quot; /&gt;
&lt;h1 data-end=&quot;3578&quot; data-section-id=&quot;1mideaj&quot; data-start=&quot;3558&quot;&gt;Real-World Example&lt;/h1&gt;
&lt;p data-end=&quot;3608&quot; data-start=&quot;3580&quot;&gt;Student Admission Prediction&lt;/p&gt;
&lt;p data-end=&quot;3619&quot; data-start=&quot;3610&quot;&gt;Features:&lt;/p&gt;
&lt;ul data-end=&quot;3655&quot; data-start=&quot;3621&quot;&gt;&lt;li data-end=&quot;3637&quot; data-section-id=&quot;1o1k6ec&quot; data-start=&quot;3621&quot;&gt;
Entrance Score
&lt;/li&gt;&lt;li data-end=&quot;3655&quot; data-section-id=&quot;161aox5&quot; data-start=&quot;3638&quot;&gt;
Interview Score
&lt;/li&gt;&lt;/ul&gt;
&lt;p data-end=&quot;3732&quot; data-start=&quot;3657&quot;&gt;The model draws a straight line to separate admitted and rejected students.&lt;/p&gt;
&lt;hr data-end=&quot;3737&quot; data-start=&quot;3734&quot; /&gt;
&lt;h1 data-end=&quot;3771&quot; data-section-id=&quot;7qc3a2&quot; data-start=&quot;3739&quot;&gt;8. Non-Linear Geometric Models&lt;/h1&gt;
&lt;p data-end=&quot;3827&quot; data-start=&quot;3773&quot;&gt;Sometimes data cannot be separated by a straight line.&lt;/p&gt;
&lt;h3 data-end=&quot;3840&quot; data-section-id=&quot;16zgw4u&quot; data-start=&quot;3829&quot;&gt;Example&lt;/h3&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;3920&quot; data-start=&quot;3842&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;      o o o&lt;/span&gt;&lt;br /&gt;&lt;span&gt;    o       o&lt;/span&gt;&lt;br /&gt;&lt;span&gt;   o    *    o&lt;/span&gt;&lt;br /&gt;&lt;span&gt;    o       o&lt;/span&gt;&lt;br /&gt;&lt;span&gt;      o o o&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;3962&quot; data-start=&quot;3922&quot;&gt;A straight line cannot separate classes.&lt;/p&gt;
&lt;p data-end=&quot;3992&quot; data-start=&quot;3964&quot;&gt;A curved boundary is needed.&lt;/p&gt;
&lt;hr data-end=&quot;3997&quot; data-start=&quot;3994&quot; /&gt;
&lt;h2 data-end=&quot;4020&quot; data-section-id=&quot;albrbs&quot; data-start=&quot;3999&quot;&gt;Real-World Example&lt;/h2&gt;
&lt;p data-end=&quot;4038&quot; data-start=&quot;4022&quot;&gt;Cancer Detection&lt;/p&gt;
&lt;p data-end=&quot;4070&quot; data-start=&quot;4040&quot;&gt;Patient data is often complex.&lt;/p&gt;
&lt;p data-end=&quot;4132&quot; data-start=&quot;4072&quot;&gt;Non-linear models can identify complicated disease patterns.&lt;/p&gt;
&lt;p data-end=&quot;4145&quot; data-start=&quot;4134&quot;&gt;Algorithms:&lt;/p&gt;
&lt;ul data-end=&quot;4198&quot; data-start=&quot;4147&quot;&gt;&lt;li data-end=&quot;4163&quot; data-section-id=&quot;cr6431&quot; data-start=&quot;4147&quot;&gt;
Decision Trees
&lt;/li&gt;&lt;li data-end=&quot;4180&quot; data-section-id=&quot;yt6b15&quot; data-start=&quot;4164&quot;&gt;
Random Forests
&lt;/li&gt;&lt;li data-end=&quot;4198&quot; data-section-id=&quot;1l7m38k&quot; data-start=&quot;4181&quot;&gt;
Neural Networks
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;4203&quot; data-start=&quot;4200&quot; /&gt;
&lt;h1 data-end=&quot;4241&quot; data-section-id=&quot;zra0nv&quot; data-start=&quot;4205&quot;&gt;9. Distance-Based Geometric Models&lt;/h1&gt;
&lt;p data-end=&quot;4281&quot; data-start=&quot;4243&quot;&gt;Many ML algorithms depend on distance.&lt;/p&gt;
&lt;h3 data-end=&quot;4305&quot; data-section-id=&quot;1s2degt&quot; data-start=&quot;4283&quot;&gt;Euclidean Distance&lt;/h3&gt;
&lt;p data-end=&quot;4315&quot; data-start=&quot;4307&quot;&gt;Formula:&lt;/p&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;4362&quot; data-start=&quot;4317&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Distance =&lt;/span&gt;&lt;br /&gt;&lt;span&gt;√[(x₂-x₁)² + (y₂-y₁)²]&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;hr data-end=&quot;4367&quot; data-start=&quot;4364&quot; /&gt;
&lt;h3 data-end=&quot;4380&quot; data-section-id=&quot;16zgw4u&quot; data-start=&quot;4369&quot;&gt;Example&lt;/h3&gt;
&lt;p data-end=&quot;4395&quot; data-start=&quot;4382&quot;&gt;Two Students:&lt;/p&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;4422&quot; data-start=&quot;4397&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;A(2,3)&lt;/span&gt;&lt;br /&gt;&lt;span&gt;B(5,7)&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;4433&quot; data-start=&quot;4424&quot;&gt;Distance:&lt;/p&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;4485&quot; data-start=&quot;4435&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;√[(5-2)² + (7-3)²]&lt;/span&gt;&lt;br /&gt;&lt;span&gt;= √(9+16)&lt;/span&gt;&lt;br /&gt;&lt;span&gt;= √25&lt;/span&gt;&lt;br /&gt;&lt;span&gt;= 5&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;hr data-end=&quot;4490&quot; data-start=&quot;4487&quot; /&gt;
&lt;h1 data-end=&quot;4512&quot; data-section-id=&quot;1mideaj&quot; data-start=&quot;4492&quot;&gt;Real-World Example&lt;/h1&gt;
&lt;p data-end=&quot;4544&quot; data-start=&quot;4514&quot;&gt;Online Shopping Recommendation&lt;/p&gt;
&lt;p data-end=&quot;4608&quot; data-start=&quot;4546&quot;&gt;Customers with similar purchasing behavior are close together.&lt;/p&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;4684&quot; data-start=&quot;4610&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Customer A ●&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span&gt;Customer B ●&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span&gt;Distance Small&lt;/span&gt;&lt;br /&gt;&lt;span&gt;→ Similar Interests&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;hr data-end=&quot;4689&quot; data-start=&quot;4686&quot; /&gt;
&lt;h1 data-end=&quot;4728&quot; data-section-id=&quot;1sno2d2&quot; data-start=&quot;4691&quot;&gt;10. Clustering as a Geometric Model&lt;/h1&gt;
&lt;p data-end=&quot;4762&quot; data-start=&quot;4730&quot;&gt;Clustering groups nearby points.&lt;/p&gt;
&lt;h3 data-end=&quot;4775&quot; data-section-id=&quot;16zgw4u&quot; data-start=&quot;4764&quot;&gt;Example&lt;/h3&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;4859&quot; data-start=&quot;4777&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Cluster 1       Cluster 2&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span&gt; * * *          o o o&lt;/span&gt;&lt;br /&gt;&lt;span&gt; * * *          o o o&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;hr data-end=&quot;4864&quot; data-start=&quot;4861&quot; /&gt;
&lt;h2 data-end=&quot;4887&quot; data-section-id=&quot;albrbs&quot; data-start=&quot;4866&quot;&gt;Real-World Example&lt;/h2&gt;
&lt;p data-end=&quot;4913&quot; data-start=&quot;4889&quot;&gt;Mobile Network Companies&lt;/p&gt;
&lt;p data-end=&quot;4942&quot; data-start=&quot;4915&quot;&gt;Customers are grouped into:&lt;/p&gt;
&lt;ul data-end=&quot;4994&quot; data-start=&quot;4944&quot;&gt;&lt;li data-end=&quot;4959&quot; data-section-id=&quot;5bbd69&quot; data-start=&quot;4944&quot;&gt;
Premium Users
&lt;/li&gt;&lt;li data-end=&quot;4976&quot; data-section-id=&quot;y4byy3&quot; data-start=&quot;4960&quot;&gt;
Moderate Users
&lt;/li&gt;&lt;li data-end=&quot;4994&quot; data-section-id=&quot;97nikb&quot; data-start=&quot;4977&quot;&gt;
Low Usage Users
&lt;/li&gt;&lt;/ul&gt;
&lt;p data-end=&quot;5024&quot; data-start=&quot;4996&quot;&gt;using clustering algorithms.&lt;/p&gt;
&lt;hr data-end=&quot;5029&quot; data-start=&quot;5026&quot; /&gt;
&lt;h1 data-end=&quot;5069&quot; data-section-id=&quot;17iy0fa&quot; data-start=&quot;5031&quot;&gt;11. Nearest Neighbor Geometric Model&lt;/h1&gt;
&lt;p data-end=&quot;5095&quot; data-start=&quot;5071&quot;&gt;K-Nearest Neighbor (KNN)&lt;/p&gt;
&lt;h3 data-end=&quot;5105&quot; data-section-id=&quot;ynmwrz&quot; data-start=&quot;5097&quot;&gt;Idea&lt;/h3&gt;
&lt;p data-end=&quot;5164&quot; data-start=&quot;5107&quot;&gt;Objects near each other usually belong to the same class.&lt;/p&gt;
&lt;h3 data-end=&quot;5177&quot; data-section-id=&quot;16zgw4u&quot; data-start=&quot;5166&quot;&gt;Example&lt;/h3&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;5209&quot; data-start=&quot;5179&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;A A A&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span&gt;   X&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span&gt;B B B&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;5238&quot; data-start=&quot;5211&quot;&gt;If X is closer to A points:&lt;/p&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;5272&quot; data-start=&quot;5240&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Prediction = Class A&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;hr data-end=&quot;5277&quot; data-start=&quot;5274&quot; /&gt;
&lt;h2 data-end=&quot;5300&quot; data-section-id=&quot;albrbs&quot; data-start=&quot;5279&quot;&gt;Real-World Example&lt;/h2&gt;
&lt;p data-end=&quot;5331&quot; data-start=&quot;5302&quot;&gt;Handwritten Digit Recognition&lt;/p&gt;
&lt;p data-end=&quot;5378&quot; data-start=&quot;5333&quot;&gt;A new digit is compared with existing digits.&lt;/p&gt;
&lt;p data-end=&quot;5425&quot; data-start=&quot;5380&quot;&gt;The closest matches determine the prediction.&lt;/p&gt;
&lt;hr data-end=&quot;5430&quot; data-start=&quot;5427&quot; /&gt;
&lt;h1 data-end=&quot;5468&quot; data-section-id=&quot;1qolvo2&quot; data-start=&quot;5432&quot;&gt;12. Hyperplanes in High Dimensions&lt;/h1&gt;
&lt;p data-end=&quot;5476&quot; data-start=&quot;5470&quot;&gt;In 2D:&lt;/p&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;5514&quot; data-start=&quot;5478&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Decision Boundary = Line&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;5522&quot; data-start=&quot;5516&quot;&gt;In 3D:&lt;/p&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;5561&quot; data-start=&quot;5524&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Decision Boundary = Plane&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;5584&quot; data-start=&quot;5563&quot;&gt;In Higher Dimensions:&lt;/p&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;5628&quot; data-start=&quot;5586&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Decision Boundary = Hyperplane&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;p data-end=&quot;5638&quot; data-start=&quot;5630&quot;&gt;Used in:&lt;/p&gt;
&lt;ul data-end=&quot;5687&quot; data-start=&quot;5640&quot;&gt;&lt;li data-end=&quot;5671&quot; data-section-id=&quot;ahq6ip&quot; data-start=&quot;5640&quot;&gt;
Support Vector Machines (SVM)
&lt;/li&gt;&lt;li data-end=&quot;5687&quot; data-section-id=&quot;1anlmtk&quot; data-start=&quot;5672&quot;&gt;
Deep Learning
&lt;/li&gt;&lt;/ul&gt;
&lt;hr data-end=&quot;5692&quot; data-start=&quot;5689&quot; /&gt;
&lt;h1 data-end=&quot;5738&quot; data-section-id=&quot;vpbcx&quot; data-start=&quot;5694&quot;&gt;13. Geometric Models in Popular Algorithms&lt;/h1&gt;
&lt;div class=&quot;TyagGW_tableContainer&quot;&gt;&lt;div class=&quot;group TyagGW_tableWrapper flex flex-col-reverse w-fit&quot; tabindex=&quot;-1&quot;&gt;&lt;table class=&quot;w-fit min-w-(--thread-content-width)&quot; data-end=&quot;6049&quot; data-start=&quot;5740&quot;&gt;&lt;thead data-end=&quot;5780&quot; data-start=&quot;5740&quot;&gt;&lt;tr data-end=&quot;5780&quot; data-start=&quot;5740&quot;&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;5752&quot; data-start=&quot;5740&quot;&gt;Algorithm&lt;/th&gt;&lt;th class=&quot;last:pe-10&quot; data-col-size=&quot;sm&quot; data-end=&quot;5780&quot; data-start=&quot;5752&quot;&gt;Geometric Interpretation&lt;/th&gt;&lt;/tr&gt;&lt;/thead&gt;&lt;tbody data-end=&quot;6049&quot; data-start=&quot;5823&quot;&gt;&lt;tr data-end=&quot;5860&quot; data-start=&quot;5823&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;5843&quot; data-start=&quot;5823&quot;&gt;Linear Regression&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;5860&quot; data-start=&quot;5843&quot;&gt;Best Fit Line&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;5904&quot; data-start=&quot;5861&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;5883&quot; data-start=&quot;5861&quot;&gt;Logistic Regression&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;5904&quot; data-start=&quot;5883&quot;&gt;Decision Boundary&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;5929&quot; data-start=&quot;5905&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;5911&quot; data-start=&quot;5905&quot;&gt;KNN&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;5929&quot; data-start=&quot;5911&quot;&gt;Distance-Based&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;5959&quot; data-start=&quot;5930&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;5940&quot; data-start=&quot;5930&quot;&gt;K-Means&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;5959&quot; data-start=&quot;5940&quot;&gt;Cluster Centers&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;5999&quot; data-start=&quot;5960&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;5966&quot; data-start=&quot;5960&quot;&gt;SVM&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;5999&quot; data-start=&quot;5966&quot;&gt;Optimal Separating Hyperplane&lt;/td&gt;&lt;/tr&gt;&lt;tr data-end=&quot;6049&quot; data-start=&quot;6000&quot;&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;6017&quot; data-start=&quot;6000&quot;&gt;Neural Network&lt;/td&gt;&lt;td data-col-size=&quot;sm&quot; data-end=&quot;6049&quot; data-start=&quot;6017&quot;&gt;Complex Geometric Boundaries&lt;/td&gt;&lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt;&lt;/div&gt;&lt;/div&gt;
&lt;hr data-end=&quot;6054&quot; data-start=&quot;6051&quot; /&gt;
&lt;h1 data-end=&quot;6096&quot; data-section-id=&quot;3lxp8l&quot; data-start=&quot;6056&quot;&gt;14. Python Example: K-Nearest Neighbor&lt;/h1&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;6342&quot; data-start=&quot;6098&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;relative h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute inset-x-4 top-12 bottom-4&quot;&gt;&lt;div class=&quot;pointer-events-none sticky z-40 shrink-0 z-1!&quot;&gt;&lt;div class=&quot;sticky bg-token-border-light&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span class=&quot;ͼg&quot;&gt;from&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;sklearn&lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;.&lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;neighbors&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;import&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;KNeighborsClassifier&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span class=&quot;ͼm&quot;&gt;X&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;=&lt;/span&gt;&lt;span&gt; [[&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;1&lt;/span&gt;&lt;span&gt;,&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;1&lt;/span&gt;&lt;span&gt;],[&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;2&lt;/span&gt;&lt;span&gt;,&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;2&lt;/span&gt;&lt;span&gt;],[&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;3&lt;/span&gt;&lt;span&gt;,&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;3&lt;/span&gt;&lt;span&gt;],[&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;8&lt;/span&gt;&lt;span&gt;,&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;8&lt;/span&gt;&lt;span&gt;],[&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;9&lt;/span&gt;&lt;span&gt;,&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;9&lt;/span&gt;&lt;span&gt;]]&lt;/span&gt;&lt;br /&gt;&lt;span class=&quot;ͼm&quot;&gt;y&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;=&lt;/span&gt;&lt;span&gt; [&lt;/span&gt;&lt;span class=&quot;ͼk&quot;&gt;&#39;A&#39;&lt;/span&gt;&lt;span&gt;,&lt;/span&gt;&lt;span class=&quot;ͼk&quot;&gt;&#39;A&#39;&lt;/span&gt;&lt;span&gt;,&lt;/span&gt;&lt;span class=&quot;ͼk&quot;&gt;&#39;A&#39;&lt;/span&gt;&lt;span&gt;,&lt;/span&gt;&lt;span class=&quot;ͼk&quot;&gt;&#39;B&#39;&lt;/span&gt;&lt;span&gt;,&lt;/span&gt;&lt;span class=&quot;ͼk&quot;&gt;&#39;B&#39;&lt;/span&gt;&lt;span&gt;]&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span class=&quot;ͼm&quot;&gt;model&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;=&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;KNeighborsClassifier&lt;/span&gt;&lt;span&gt;(&lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;n_neighbors&lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;=&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;3&lt;/span&gt;&lt;span&gt;)&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span class=&quot;ͼm&quot;&gt;model&lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;.&lt;/span&gt;&lt;span&gt;fit(&lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;X&lt;/span&gt;&lt;span&gt;,&lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;y&lt;/span&gt;&lt;span&gt;)&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span class=&quot;ͼm&quot;&gt;prediction&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;=&lt;/span&gt;&lt;span&gt; &lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;model&lt;/span&gt;&lt;span class=&quot;ͼg&quot;&gt;.&lt;/span&gt;&lt;span&gt;predict([[&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;4&lt;/span&gt;&lt;span&gt;,&lt;/span&gt;&lt;span class=&quot;ͼj&quot;&gt;4&lt;/span&gt;&lt;span&gt;]])&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span class=&quot;ͼm&quot;&gt;print&lt;/span&gt;&lt;span&gt;(&lt;/span&gt;&lt;span class=&quot;ͼm&quot;&gt;prediction&lt;/span&gt;&lt;span&gt;)&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;h3 data-end=&quot;6354&quot; data-section-id=&quot;ho23qx&quot; data-start=&quot;6344&quot;&gt;Output&lt;/h3&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;6373&quot; data-start=&quot;6356&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;[&#39;A&#39;]&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;h3 data-end=&quot;6390&quot; data-section-id=&quot;61i3lh&quot; data-start=&quot;6375&quot;&gt;Explanation&lt;/h3&gt;
&lt;p data-end=&quot;6436&quot; data-start=&quot;6392&quot;&gt;The point (4,4) is closer to Class A points.&lt;/p&gt;
&lt;p data-end=&quot;6448&quot; data-start=&quot;6438&quot;&gt;Therefore:&lt;/p&gt;
&lt;pre class=&quot;overflow-visible! px-0!&quot; data-end=&quot;6476&quot; data-start=&quot;6450&quot;&gt;&lt;div class=&quot;relative w-full mt-4 mb-1&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;contents&quot;&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;h-full min-h-0 min-w-0&quot;&gt;&lt;div class=&quot;border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl&quot;&gt;&lt;div class=&quot;h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback&quot;&gt;&lt;div class=&quot;pointer-events-none absolute end-1.5 top-1 z-2 md:end-2 md:top-1&quot;&gt;&lt;/div&gt;&lt;div class=&quot;relative&quot;&gt;&lt;div class=&quot;pe-11 pt-3&quot;&gt;&lt;div class=&quot;relative z-0 flex max-w-full&quot;&gt;&lt;div class=&quot;q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr&quot; dir=&quot;ltr&quot; id=&quot;code-block-viewer&quot;&gt;&lt;div class=&quot;cm-scroller&quot;&gt;&lt;pre class=&quot;cm-content q9tKkq_readonly m-0&quot;&gt;&lt;code&gt;&lt;span&gt;Prediction = A&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;&quot;&gt;&lt;div class=&quot;&quot;&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/pre&gt;
&lt;hr data-end=&quot;6481&quot; data-start=&quot;6478&quot; /&gt;
&lt;h1 data-end=&quot;6515&quot; data-section-id=&quot;16xtlhe&quot; data-start=&quot;6483&quot;&gt;Advantages of Geometric Models&lt;/h1&gt;
&lt;p data-end=&quot;6537&quot; data-start=&quot;6517&quot;&gt;✅ Easy visualization&lt;/p&gt;
&lt;p data-end=&quot;6564&quot; data-start=&quot;6539&quot;&gt;✅ Intuitive understanding&lt;/p&gt;
&lt;p data-end=&quot;6592&quot; data-start=&quot;6566&quot;&gt;✅ Effective classification&lt;/p&gt;
&lt;p data-end=&quot;6616&quot; data-start=&quot;6594&quot;&gt;✅ Useful in clustering&lt;/p&gt;
&lt;p data-end=&quot;6654&quot; data-start=&quot;6618&quot;&gt;✅ Supports high-dimensional analysis&lt;/p&gt;
&lt;hr data-end=&quot;6659&quot; data-start=&quot;6656&quot; /&gt;
&lt;h1 data-end=&quot;6674&quot; data-section-id=&quot;m7do59&quot; data-start=&quot;6661&quot;&gt;Limitations&lt;/h1&gt;
&lt;p data-end=&quot;6721&quot; data-start=&quot;6676&quot;&gt;❌ Difficult to visualize very high dimensions&lt;/p&gt;
&lt;p data-end=&quot;6757&quot; data-start=&quot;6723&quot;&gt;❌ Sensitive to irrelevant features&lt;/p&gt;
&lt;p data-end=&quot;6799&quot; data-start=&quot;6759&quot;&gt;❌ Distance calculations become expensive&lt;/p&gt;
&lt;p data-end=&quot;6826&quot; data-start=&quot;6801&quot;&gt;❌ Curse of dimensionality&lt;/p&gt;
&lt;hr data-end=&quot;6831&quot; data-start=&quot;6828&quot; /&gt;
&lt;h1 data-end=&quot;6854&quot; data-section-id=&quot;199a3eb&quot; data-start=&quot;6833&quot;&gt;Laboratory Exercise&lt;/h1&gt;
&lt;h3 data-end=&quot;6863&quot; data-section-id=&quot;1xxfcv7&quot; data-start=&quot;6856&quot;&gt;Aim&lt;/h3&gt;
&lt;p data-end=&quot;6934&quot; data-start=&quot;6865&quot;&gt;To study geometric representation of machine learning data using KNN.&lt;/p&gt;
&lt;h3 data-end=&quot;6949&quot; data-section-id=&quot;cqth9n&quot; data-start=&quot;6936&quot;&gt;Procedure&lt;/h3&gt;
&lt;ol data-end=&quot;7098&quot; data-start=&quot;6951&quot;&gt;&lt;li data-end=&quot;6980&quot; data-section-id=&quot;1xvov7d&quot; data-start=&quot;6951&quot;&gt;
Create sample data points.
&lt;/li&gt;&lt;li data-end=&quot;7011&quot; data-section-id=&quot;ev56yf&quot; data-start=&quot;6981&quot;&gt;
Plot data in feature space.
&lt;/li&gt;&lt;li data-end=&quot;7036&quot; data-section-id=&quot;12d1cf6&quot; data-start=&quot;7012&quot;&gt;
Train KNN classifier.
&lt;/li&gt;&lt;li data-end=&quot;7067&quot; data-section-id=&quot;jm9w57&quot; data-start=&quot;7037&quot;&gt;
Predict class of new point.
&lt;/li&gt;&lt;li data-end=&quot;7098&quot; data-section-id=&quot;qsvjem&quot; data-start=&quot;7068&quot;&gt;
Analyze geometric distance.
&lt;/li&gt;&lt;/ol&gt;
&lt;h3 data-end=&quot;7110&quot; data-section-id=&quot;pjdswf&quot; data-start=&quot;7100&quot;&gt;Result&lt;/h3&gt;
&lt;p data-end=&quot;7200&quot; data-start=&quot;7112&quot;&gt;The geometric relationship between data points was successfully used for classification.&lt;/p&gt;
&lt;hr data-end=&quot;7205&quot; data-start=&quot;7202&quot; /&gt;
&lt;h1 data-end=&quot;7223&quot; data-section-id=&quot;2rjcyb&quot; data-start=&quot;7207&quot;&gt;Viva Questions&lt;/h1&gt;
&lt;ol data-end=&quot;7536&quot; data-start=&quot;7225&quot;&gt;&lt;li data-end=&quot;7254&quot; data-section-id=&quot;ys6t02&quot; data-start=&quot;7225&quot;&gt;
What is a Geometric Model?
&lt;/li&gt;&lt;li data-end=&quot;7279&quot; data-section-id=&quot;1tp4jk2&quot; data-start=&quot;7255&quot;&gt;
Define Feature Space.
&lt;/li&gt;&lt;li data-end=&quot;7311&quot; data-section-id=&quot;tu7fwe&quot; data-start=&quot;7280&quot;&gt;
What is a Decision Boundary?
&lt;/li&gt;&lt;li data-end=&quot;7342&quot; data-section-id=&quot;v568qz&quot; data-start=&quot;7312&quot;&gt;
What is Euclidean Distance?
&lt;/li&gt;&lt;li data-end=&quot;7365&quot; data-section-id=&quot;1drv9qv&quot; data-start=&quot;7343&quot;&gt;
Explain Hyperplane.
&lt;/li&gt;&lt;li data-end=&quot;7381&quot; data-section-id=&quot;n4ds2h&quot; data-start=&quot;7366&quot;&gt;
What is KNN?
&lt;/li&gt;&lt;li data-end=&quot;7404&quot; data-section-id=&quot;mu5oyh&quot; data-start=&quot;7382&quot;&gt;
What is Clustering?
&lt;/li&gt;&lt;li data-end=&quot;7456&quot; data-section-id=&quot;fkbu3o&quot; data-start=&quot;7405&quot;&gt;
Difference between Linear and Non-linear Models?
&lt;/li&gt;&lt;li data-end=&quot;7495&quot; data-section-id=&quot;vtwslq&quot; data-start=&quot;7457&quot;&gt;
Why are geometric models important?
&lt;/li&gt;&lt;li data-end=&quot;7536&quot; data-section-id=&quot;1n7zwri&quot; data-start=&quot;7496&quot;&gt;
What is the curse of dimensionality?
&lt;/li&gt;&lt;/ol&gt;
&lt;hr data-end=&quot;7541&quot; data-start=&quot;7538&quot; /&gt;
&lt;h1 data-end=&quot;7549&quot; data-section-id=&quot;1htghai&quot; data-start=&quot;7543&quot;&gt;MCQs&lt;/h1&gt;
&lt;h3 data-end=&quot;7602&quot; data-section-id=&quot;uerteg&quot; data-start=&quot;7551&quot;&gt;1. In geometric models, data is represented as:&lt;/h3&gt;
&lt;p data-end=&quot;7662&quot; data-start=&quot;7604&quot;&gt;A) Tables&lt;br data-end=&quot;7616&quot; data-start=&quot;7613&quot; /&gt;
B) Points in space&lt;br data-end=&quot;7637&quot; data-start=&quot;7634&quot; /&gt;
C) Images only&lt;br data-end=&quot;7654&quot; data-start=&quot;7651&quot; /&gt;
D) Rules&lt;/p&gt;
&lt;p data-end=&quot;7677&quot; data-start=&quot;7664&quot;&gt;&lt;strong data-end=&quot;7675&quot; data-start=&quot;7664&quot;&gt;Answer:&lt;/strong&gt; B&lt;/p&gt;
&lt;h3 data-end=&quot;7718&quot; data-section-id=&quot;dbbwxb&quot; data-start=&quot;7679&quot;&gt;2. A decision boundary is used for:&lt;/h3&gt;
&lt;p data-end=&quot;7799&quot; data-start=&quot;7720&quot;&gt;A) Sorting data&lt;br data-end=&quot;7738&quot; data-start=&quot;7735&quot; /&gt;
B) Separating classes&lt;br data-end=&quot;7762&quot; data-start=&quot;7759&quot; /&gt;
C) Storing data&lt;br data-end=&quot;7780&quot; data-start=&quot;7777&quot; /&gt;
D) Compressing data&lt;/p&gt;
&lt;p data-end=&quot;7814&quot; data-start=&quot;7801&quot;&gt;&lt;strong data-end=&quot;7812&quot; data-start=&quot;7801&quot;&gt;Answer:&lt;/strong&gt; B&lt;/p&gt;
&lt;h3 data-end=&quot;7839&quot; data-section-id=&quot;14mpzwg&quot; data-start=&quot;7816&quot;&gt;3. KNN is based on:&lt;/h3&gt;
&lt;p data-end=&quot;7891&quot; data-start=&quot;7841&quot;&gt;A) Probability&lt;br data-end=&quot;7858&quot; data-start=&quot;7855&quot; /&gt;
B) Distance&lt;br data-end=&quot;7872&quot; data-start=&quot;7869&quot; /&gt;
C) Rules&lt;br data-end=&quot;7883&quot; data-start=&quot;7880&quot; /&gt;
D) Logic&lt;/p&gt;
&lt;p data-end=&quot;7906&quot; data-start=&quot;7893&quot;&gt;&lt;strong data-end=&quot;7904&quot; data-start=&quot;7893&quot;&gt;Answer:&lt;/strong&gt; B&lt;/p&gt;
&lt;h3 data-end=&quot;7969&quot; data-section-id=&quot;acbjhz&quot; data-start=&quot;7908&quot;&gt;4. In higher dimensions, a separating boundary is called:&lt;/h3&gt;
&lt;p data-end=&quot;8016&quot; data-start=&quot;7971&quot;&gt;A) Line&lt;br data-end=&quot;7981&quot; data-start=&quot;7978&quot; /&gt;
B) Curve&lt;br data-end=&quot;7992&quot; data-start=&quot;7989&quot; /&gt;
C) Hyperplane&lt;br data-end=&quot;8008&quot; data-start=&quot;8005&quot; /&gt;
D) Graph&lt;/p&gt;
&lt;p data-end=&quot;8031&quot; data-start=&quot;8018&quot;&gt;&lt;strong data-end=&quot;8029&quot; data-start=&quot;8018&quot;&gt;Answer:&lt;/strong&gt; C&lt;/p&gt;
&lt;h3 data-end=&quot;8077&quot; data-section-id=&quot;ltaq4y&quot; data-start=&quot;8033&quot;&gt;5. Which algorithm uses cluster centers?&lt;/h3&gt;
&lt;p data-end=&quot;8131&quot; data-start=&quot;8079&quot;&gt;A) K-Means&lt;br data-end=&quot;8092&quot; data-start=&quot;8089&quot; /&gt;
B) Regression&lt;br data-end=&quot;8108&quot; data-start=&quot;8105&quot; /&gt;
C) Naive Bayes&lt;br data-end=&quot;8125&quot; data-start=&quot;8122&quot; /&gt;
D) PCA&lt;/p&gt;
&lt;p data-end=&quot;8146&quot; data-start=&quot;8133&quot;&gt;&lt;strong data-end=&quot;8144&quot; data-start=&quot;8133&quot;&gt;Answer:&lt;/strong&gt; A&lt;/p&gt;
&lt;hr data-end=&quot;8151&quot; data-start=&quot;8148&quot; /&gt;
&lt;h1 data-end=&quot;8162&quot; data-section-id=&quot;1jxv0q2&quot; data-start=&quot;8153&quot;&gt;Summary&lt;/h1&gt;
&lt;p data-end=&quot;8649&quot; data-is-last-node=&quot;&quot; data-is-only-node=&quot;&quot; data-start=&quot;8164&quot;&gt;Geometric Models view machine learning problems as geometric relationships among data points in a feature space. Data points, distances, clusters, decision boundaries, and hyperplanes form the foundation of geometric learning. Popular algorithms such as &lt;strong data-end=&quot;8483&quot; data-start=&quot;8418&quot;&gt;KNN, K-Means, Linear Regression, Logistic Regression, and SVM&lt;/strong&gt; rely heavily on geometric concepts. Understanding these models provides a strong foundation for advanced machine learning and data mining techniques at the PG level.&lt;/p&gt;&lt;p data-end=&quot;6375&quot; data-is-last-node=&quot;&quot; data-is-only-node=&quot;&quot; data-start=&quot;6261&quot;&gt;&amp;nbsp;&lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/section&gt;&lt;/div&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/1350392826081750048'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/1350392826081750048'/><link rel='alternate' type='text/html' href='http://rgkumaran.blogspot.com/2026/06/ai-ml-unit-wise-daily-updating.html' title='AI &amp; ML UNIT WISE  DAILY UPDATING'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author></entry><entry><id>tag:blogger.com,1999:blog-207255288551257803.post-1284372191372725107</id><published>2026-06-05T00:10:50.937-07:00</published><updated>2026-06-05T00:10:50.938-07:00</updated><title type='text'>Q1 COMPUTER SCIENCE JOURNALS / AI LINK</title><content type='html'>&lt;p&gt;&lt;a href=&quot;https://listofjournals.com/q1-journals.php?q=Artificial%20Intelligence&quot; target=&quot;_blank&quot;&gt;Q1 CS JOURNALS&lt;/a&gt;&amp;nbsp;&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;&lt;a href=&quot;Introduction ,Components of Learning , Learning Models , Geometric Models, Probabilistic Models, Logic Models, Grouping and Grading, Designing a Learning System, Types of Learning, Supervised, Unsupervised, Reinforcement, Perspectives and Issues, Version Spaces, PAC Learning, VC Dimension. &quot; target=&quot;_blank&quot;&gt;UNIT I - AI  ML &lt;/a&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p data-path-to-node=&quot;0&quot; style=&quot;font-family: &amp;quot;Google Sans Text&amp;quot;, sans-serif !important; line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;&lt;span class=&quot;&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;I have generated a detailed,&lt;/span&gt;&lt;span class=&quot;&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt; 18-page title page infographic for a Machine Learning textbook.&lt;/span&gt;&lt;span class=&quot;&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt; The main title,&lt;/span&gt;&lt;span class=&quot;&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt; with an integrated equation &lt;/span&gt;&lt;span class=&quot;math-inline&quot; data-index-in-node=&quot;137&quot; data-math=&quot;\hat{h}(x) = \text{argmin}_{h \in \mathcal{H}} \left( \sum L(y,h(x)) + \lambda R(h) \right)&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;$\hat{h}(x) = \text{argmin}_{h \in \mathcal{H}} \left( \sum L(y,h(x)) + \lambda R(h) \right)$&lt;/span&gt;&lt;span class=&quot;&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;,&lt;/span&gt;&lt;span class=&quot;&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt; clearly defines the text.&lt;/span&gt;&lt;span class=&quot;&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt; It contains structured panels for all requested topics,&lt;/span&gt;&lt;span class=&quot;&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt; including:&lt;/span&gt;&lt;/p&gt;&lt;ul data-path-to-node=&quot;1&quot; style=&quot;font-family: &amp;quot;Google Sans Text&amp;quot;, sans-serif !important; line-height: 1.15 !important; margin-top: 0px !important; padding-inline-start: 32px;&quot;&gt;&lt;li style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;&lt;p data-path-to-node=&quot;1,0,0&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;&lt;b class=&quot;&quot; data-index-in-node=&quot;0&quot; data-path-to-node=&quot;1,0,0&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;Learning, Geometric, Probabilistic, and Logic Models.&lt;/b&gt;&lt;/p&gt;&lt;/li&gt;&lt;li style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;&lt;p data-path-to-node=&quot;1,1,0&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;&lt;b class=&quot;&quot; data-index-in-node=&quot;0&quot; data-path-to-node=&quot;1,1,0&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;Grouping and Grading&lt;/b&gt;&lt;span class=&quot;&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt; (with regression surface visualization).&lt;/span&gt;&lt;/p&gt;&lt;/li&gt;&lt;li style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;&lt;p data-path-to-node=&quot;1,2,0&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;&lt;b class=&quot;&quot; data-index-in-node=&quot;0&quot; data-path-to-node=&quot;1,2,0&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;Designing a Learning System.&lt;/b&gt;&lt;/p&gt;&lt;/li&gt;&lt;li style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;&lt;p data-path-to-node=&quot;1,3,0&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;&lt;b class=&quot;&quot; data-index-in-node=&quot;0&quot; data-path-to-node=&quot;1,3,0&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;Types of Learning&lt;/b&gt;&lt;span class=&quot;&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt; (distinct Supervised,&lt;/span&gt;&lt;span class=&quot;&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt; Unsupervised with clustering,&lt;/span&gt;&lt;span class=&quot;&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt; and Reinforcement with an agent).&lt;/span&gt;&lt;/p&gt;&lt;/li&gt;&lt;li style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;&lt;p data-path-to-node=&quot;1,4,0&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;&lt;b class=&quot;&quot; data-index-in-node=&quot;0&quot; data-path-to-node=&quot;1,4,0&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;Version Spaces&lt;/b&gt;&lt;span class=&quot;&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt; (with consistent hypothesis sets and definitions).&lt;/span&gt;&lt;/p&gt;&lt;/li&gt;&lt;li style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;&lt;p data-path-to-node=&quot;1,5,0&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;&lt;b class=&quot;&quot; data-index-in-node=&quot;0&quot; data-path-to-node=&quot;1,5,0&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;PAC Learning&lt;/b&gt;&lt;span class=&quot;&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt; (with finite sample complexity bounds).&lt;/span&gt;&lt;/p&gt;&lt;/li&gt;&lt;li style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;&lt;p data-path-to-node=&quot;1,6,0&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;&lt;b class=&quot;&quot; data-index-in-node=&quot;0&quot; data-path-to-node=&quot;1,6,0&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;VC Dimension&lt;/b&gt;&lt;span class=&quot;&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt; (with a graphical step-by-step example and shattering definitions for &lt;/span&gt;&lt;span class=&quot;math-inline&quot; data-index-in-node=&quot;83&quot; data-math=&quot;d=3&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;$d=3$&lt;/span&gt;&lt;span class=&quot;&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt; and &lt;/span&gt;&lt;span class=&quot;math-inline&quot; data-index-in-node=&quot;91&quot; data-math=&quot;d=4&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;$d=4$&lt;/span&gt;&lt;span class=&quot;&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;).&lt;/span&gt;&lt;/p&gt;&lt;/li&gt;&lt;/ul&gt;&lt;p data-path-to-node=&quot;2&quot; style=&quot;font-family: &amp;quot;Google Sans Text&amp;quot;, sans-serif !important; line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;&lt;span class=&quot;&quot; data-path-to-node=&quot;2,0&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;The cat from the original image has been removed to maintain the precise academic aesthetic. The full title and brief explanation text are integrated at the top, making this a complete and accurate title document.&lt;/span&gt;&lt;/p&gt;&lt;p data-path-to-node=&quot;2&quot; style=&quot;font-family: &amp;quot;Google Sans Text&amp;quot;, sans-serif !important; line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;&lt;span class=&quot;&quot; data-path-to-node=&quot;2,0&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;&lt;/span&gt;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgPWEIYCdC6YiH5cyW1tuxuDVXTyuv03WHQOUeOuWWFAz_Pay-qcEANQLFq2t_SG80ZcpSSyCQE0cEh8gm3EPSPbkP2pVK3KlmFJcvs_QIySycdjspFWoS3inuoPW8KR3Ou_zzl1-aCBfTV-KUwhyphenhyphenAYRWdofPDuYZeQtZQxkWJKNCwTZP4qA87n8cUCzAU/s1376/Gemini_Generated_Image_mbaiaimbaiaimbai.png&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; data-original-height=&quot;1376&quot; data-original-width=&quot;768&quot; height=&quot;640&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgPWEIYCdC6YiH5cyW1tuxuDVXTyuv03WHQOUeOuWWFAz_Pay-qcEANQLFq2t_SG80ZcpSSyCQE0cEh8gm3EPSPbkP2pVK3KlmFJcvs_QIySycdjspFWoS3inuoPW8KR3Ou_zzl1-aCBfTV-KUwhyphenhyphenAYRWdofPDuYZeQtZQxkWJKNCwTZP4qA87n8cUCzAU/w528-h640/Gemini_Generated_Image_mbaiaimbaiaimbai.png&quot; width=&quot;528&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;Introduction to Machine Learning: Foundations &amp;amp;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;Paradigms&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;A&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;1. Introduction &amp;amp; General Learning Framework&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;Machine Learning (ML) focuses on constructing systems that automatically improve their performance through&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;experience. Formally, a learning problem can be modeled by optimizing a hypothesis function $h(x)$ selected from a&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;hypothesis space $\mathcal{H}$. The general objective function incorporating empirical risk minimization and structural&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;regularization is expressed as:&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;ĥ(x) = argmin_{h ∈ H} ( ∑_{i=1}^{n} L(y_i, h(x_i)) + λR(h) )&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;Where $L$ represents the loss function quantifying the discrepancy between the predicted value and true label $y_i$,&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;$R(h)$ denotes the regularization penalty ensuring model simplicity to reduce overfitting, and $\lambda$ is a tuning&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;hyperparameter.&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;2. Taxonomy of Learning Models&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;Learning paradigms are fundamentally categorized by how patterns are extracted, represented, and reasoned over:&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;● Geometric Models: Map instances into a multi-dimensional metric space. Decision boundaries are constructed&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;as hyperplanes or manifolds. For instance, Support Vector Machines (SVMs) maximize the geometric margin $d&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;= \frac{2}{\|w\|_2}$ between classes.&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;● Probabilistic Models: Formulate learning as inference over probability distributions. They calculate posterior&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;probabilities based on prior beliefs and empirical evidence using Bayes&#39; Theorem: $P(Y|X) =&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;\frac{P(X|Y)P(Y)}{P(X)}$.&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;● Logic Models: Employ symbolic rules and relational logic expressions. Rules are typically structured&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;hierarchically into decision trees where internal nodes represent feature tests (e.g., IF Feature1 &amp;gt; 5 AND&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;Feature2 = Yes THEN ClassA).&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;3. Grouping and Grading&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;Algorithms treat the instance space using two distinct spatial approaches:&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;Approach Core Mechanism Mathematical Analogue&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;Grouping Partitions the entire instance&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;space into local, discrete&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;Voronoi Tessellations,&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;K-Means Clustering&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;Approach Core Mechanism Mathematical Analogue&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;regions or clusters.&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;Boundaries are hard and&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;explicitly defined.&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;Grading Evaluates a continuous&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;global function across the&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;whole instance space,&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;capturing subtle, continuous&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;variations.&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;Graded Linear/Polynomial&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;Regression Surfaces&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;4. Designing a Learning System&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;The lifecycle of engineering a production-grade machine learning system involves a continuous, closed-loop pipeline&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;containing five key operational phases:&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;1. Data Collection &amp;amp; Preprocessing: Aggregating raw sensory streams (images, audio, unstructured text,&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;structured tables) and handling missing artifacts or noise.&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;2. Feature Engineering: Extracting informative representations, projecting dimensions via techniques like PCA, or&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;defining critical feature vectors.&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;3. Model Selection: Choosing an appropriate inductive bias (e.g., Deep Neural Networks, Linear Models, or&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;Ensemble Trees).&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;4. Evaluation: Testing generalization performance via Cross-Validation, evaluating Confusion Matrices, Precision,&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;Recall, and calculating the $F_1\text{-score} = 2 \cdot \frac{\text{Precision} \cdot \text{Recall}}{\text{Precision} +&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;\text{Recall}}$.&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;5. Deployment &amp;amp; Monitoring: Serving the model in production environments and auditing for data drift or&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;performance degradation.&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;5. Primary Types of Learning Paradigms&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;● Supervised Learning: The system learns from a labeled training dataset $D = \{(x_1, y_1), \dots, (x_n, y_n)\}$.&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;Example: Training a convolutional neural network with cat images to output the explicit label &quot;Cat&quot;.&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;● Unsupervised Learning: The system looks for hidden structures within unlabeled data. Example: Grouping&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;millions of uncurated web images into coherent visual clusters automatically without human annotation.&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;● Reinforcement Learning (RL): An autonomous agent interacts with a dynamic environment through sequential&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;actions. It transitions across states and learns an optimal policy by maximizing cumulative rewards (e.g., a robot&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;solving a complex maze).&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;6. Core Perspectives, Issues, and Challenges&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;Developing robust machine learning models requires managing foundational structural trade-offs:&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;● Bias vs. Variance: High bias leads to systematic underfitting (omitting key data patterns), while high variance&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;causes overfitting (capturing random statistical noise instead of the true underlying function).&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;● Computational Complexity: Balancing the memory footprints and execution speeds of models during training&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;and inferences.&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;● Fairness &amp;amp; Ethics: Preventing models from propagating or magnifying harmful biases present in the training&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;datasets.&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;7. Computability and Learning Theory&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;A. Version Spaces&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;A hypothesis $h \in \mathcal{H}$ is defined as consistent with a training dataset $D$ if and only if $h(x) = y$ for every&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;training sample $(x, y) \in D$. The Version Space ($VS_{\mathcal{H}, D}$) represents the specific subset of all&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;hypotheses in $\mathcal{H}$ that are perfectly consistent with the observed training evidence:&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;VS_{H, D} = { h ∈ H | ∀(x, y) ∈ D, h(x) = y }&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;B. Probably Approximately Correct (PAC) Learning&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;PAC learning theory mathematically characterizes the feasibility of data-driven learning. It defines under what&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;conditions a learning algorithm will, with high probability ($1 - \delta$), select a hypothesis that achieves a bounded true&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;error ($\leq \epsilon$). For a finite hypothesis space $\mathcal{H}$, the minimum sample complexity $m$ required to&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;guarantee learnability scales according to:&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;m ≥ (1 / ε) * ( ln|H| + ln(1 / δ) )&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;C. Vapnik-Chervonenkis (VC) Dimension&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;The VC Dimension measures the combinatorial capacity or flexibility of an infinite hypothesis space. It represents the&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;maximum number of points $d$ that a model class can completely shatter (assign all possible $2^d$ binary label&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;combinations).&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;Step-by-Step Example (Linear Classifiers in 2D Space):&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;● Case $d=3$: Consider 3 non-collinear points in a 2D plane. A simple linear classifier (a straight line) can&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;successfully isolate any configuration of positive and negative labels. Because it can shatter 3 points,&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;$VC(\mathcal{H}) \geq 3$.&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;● Case $d=4$: Consider 4 points configured in a two-dimensional plane. If the points form a quadrangle and&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;opposing corners share identical labels, a single straight line cannot isolate them simultaneously. Because no&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;arrangement of 4 points can be shattered, $VC(\mathcal{H}) &amp;lt; 4$. Hence, the VC dimension of a 2D linear&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;classifier is exactly 3.&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;When the hypothesis space is infinite, the sample complexity bound incorporates the VC Dimension&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;($VC(\mathcal{H})$):&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-family: Google Sans Text, sans-serif;&quot;&gt;m ≥ O( (1 / ε) * ( VC(H) * ln(1 / ε) + ln(1 / δ) ) )&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;p data-path-to-node=&quot;2&quot; style=&quot;font-family: &amp;quot;Google Sans Text&amp;quot;, sans-serif !important; line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;&lt;span class=&quot;&quot; data-path-to-node=&quot;2,0&quot; style=&quot;line-height: 1.15 !important; margin-top: 0px !important;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;br /&gt;USE TO MY IMAGE WITH ,Here is your educational poster: &quot;Introduction to Machine Learning: Components of Learning.&quot; I have transformed the previous serene scene into a detailed chart, framing the meditating MY IMAGE with the four fundamental components of learning. Each panel includes descriptive text, example equations for an AI framework, and illustrative visuals to guide your inner journey into technology.&lt;div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj68_nsIO-eFeIQnLUF7eEQaDzomIM1S-hchidemheoIVHqj8WQL-QIa5t6092n7Ua3BAetT6hw6V2ok676Ti8oQMAp8SE64RK47Zo-CBhlea8eUagXsVe8KejsNj2ASpw2cuFMZN3xL9tOKORXz4Ca3IrTiq3BZgKV8vhBnYku7j65zoTLSM9YOAsGEo0/s1536/UNIT%20I%20AI%20ChatGPT%20Image%20Jun%205,%202026,%2012_39_23%20PM.png&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; data-original-height=&quot;1536&quot; data-original-width=&quot;1024&quot; height=&quot;640&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj68_nsIO-eFeIQnLUF7eEQaDzomIM1S-hchidemheoIVHqj8WQL-QIa5t6092n7Ua3BAetT6hw6V2ok676Ti8oQMAp8SE64RK47Zo-CBhlea8eUagXsVe8KejsNj2ASpw2cuFMZN3xL9tOKORXz4Ca3IrTiq3BZgKV8vhBnYku7j65zoTLSM9YOAsGEo0/w518-h640/UNIT%20I%20AI%20ChatGPT%20Image%20Jun%205,%202026,%2012_39_23%20PM.png&quot; width=&quot;518&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&amp;nbsp;&amp;nbsp;&lt;p&gt;&lt;/p&gt;&lt;/div&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/1284372191372725107'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/207255288551257803/posts/default/1284372191372725107'/><link rel='alternate' type='text/html' href='http://rgkumaran.blogspot.com/2026/06/q1-computer-science-journals-ai-link.html' title='Q1 COMPUTER SCIENCE JOURNALS / AI LINK'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgPWEIYCdC6YiH5cyW1tuxuDVXTyuv03WHQOUeOuWWFAz_Pay-qcEANQLFq2t_SG80ZcpSSyCQE0cEh8gm3EPSPbkP2pVK3KlmFJcvs_QIySycdjspFWoS3inuoPW8KR3Ou_zzl1-aCBfTV-KUwhyphenhyphenAYRWdofPDuYZeQtZQxkWJKNCwTZP4qA87n8cUCzAU/s72-w528-h640-c/Gemini_Generated_Image_mbaiaimbaiaimbai.png" height="72" width="72"/></entry></feed>