<?xml version='1.0' encoding='UTF-8'?><?xml-stylesheet href="http://www.blogger.com/styles/atom.css" type="text/css"?><feed xmlns='http://www.w3.org/2005/Atom' xmlns:openSearch='http://a9.com/-/spec/opensearchrss/1.0/' xmlns:blogger='http://schemas.google.com/blogger/2008' xmlns:georss='http://www.georss.org/georss' xmlns:gd="http://schemas.google.com/g/2005" xmlns:thr='http://purl.org/syndication/thread/1.0'><id>tag:blogger.com,1999:blog-8766011798057583516</id><updated>2026-06-19T07:06:05.776-07:00</updated><category term="Class 11"/><category term="Ch-4"/><category term="Class 12"/><category term="Past Papers 12th Class Computer Science"/><category term="Past Papers 11th Class Computer Science"/><category term="Ch-3"/><category term="Ch-1"/><category term="Ch-7"/><category term="Ch-2"/><category term="Ch-5"/><category term="Mathematics"/><category term="Ch-6"/><category term="1st Year Biology Past Papers"/><category term="Ch-8"/><category term="Ch-9"/><category 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term="components of learning"/><category term="computer security"/><category term="conceptual level"/><category term="courses"/><category term="data"/><category term="data collection"/><category term="data preparation"/><category term="data storage"/><category term="digitizing in GIS."/><category term="examples"/><category term="form of data"/><category term="individual users"/><category term="inter part 1 2022"/><category term="key management"/><category term="keys"/><category term="label"/><category term="levels of security impact"/><category term="multi-user"/><category term="namaz translation"/><category term="namaz with tarjuma in urdu"/><category term="network challenges"/><category term="network model"/><category term="parameter tuning"/><category term="passive attacks"/><category term="past paper questions"/><category term="pervasive security mechanisms"/><category term="prayer"/><category term="privacy"/><category term="public key"/><category term="public key encryption to distribute secret key"/><category term="rolls in database environment"/><category term="security challenges"/><category term="security mechanisms"/><category term="security model"/><category term="single user"/><category term="train"/><category term="two key"/><category term="users of DB"/><title type='text'> Database system, Information security, Math Online Exercises, Past Papers - Class 11 and Class 12, </title><subtitle type='html'>11th class and 12th class mathematics solutions, Contains solved exercises, review questions, important board questions. First year and second year past papers. Class 11, class 12, Namaz Urdu translation,  Courses, Notes, database system course, information security course, lecture notes, Database system&#xa;</subtitle><link rel='http://schemas.google.com/g/2005#feed' type='application/atom+xml' href='https://salutionteach.blogspot.com/feeds/posts/default'/><link rel='self' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default?redirect=false'/><link rel='alternate' type='text/html' href='https://salutionteach.blogspot.com/'/><link rel='hub' href='http://pubsubhubbub.appspot.com/'/><link rel='next' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default?start-index=26&amp;max-results=25&amp;redirect=false'/><author><name>salutionteach</name><uri>http://www.blogger.com/profile/15753843071083819831</uri><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><generator version='7.00' uri='http://www.blogger.com'>Blogger</generator><openSearch:totalResults>97</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>25</openSearch:itemsPerPage><entry><id>tag:blogger.com,1999:blog-8766011798057583516.post-7299704451211586025</id><published>2025-04-18T22:20:00.000-07:00</published><updated>2025-04-18T22:20:47.450-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Decision tree"/><category scheme="http://www.blogger.com/atom/ns#" term="ID3"/><category scheme="http://www.blogger.com/atom/ns#" term="Machine Learning"/><title type='text'>Decision tree</title><content type='html'>&lt;p&gt;&amp;nbsp;&lt;b style=&quot;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: 16pt; line-height: 115%;&quot;&gt;Decision
tree&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;margin-left: .25in; mso-list: l0 level1 lfo1; text-align: justify;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;·&lt;span style=&quot;font: 7.0pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;A decision tree
is a tree-based supervised learning method used to predict the output of a
target variable.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;margin-left: .25in; mso-list: l0 level1 lfo1; text-align: justify;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;·&lt;span style=&quot;font: 7.0pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;Supervised
learning uses labeled data (data with known output variables) to make
predictions with the help of regression and classification algorithms.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;margin-left: .25in; mso-list: l0 level1 lfo1; text-align: justify;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;·&lt;span style=&quot;font: 7.0pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;Supervised
learning algorithms act as a supervisor for training a model with a defined
output variable.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;margin-left: .25in; mso-list: l0 level1 lfo1; text-align: justify;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;·&lt;span style=&quot;font: 7.0pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;It learns from
simple decision rules using the various data features.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;margin-left: .25in; mso-list: l0 level1 lfo1; text-align: justify;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;·&lt;span style=&quot;font: 7.0pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;Decision trees in
Python can be used to solve both classification and regression problems—they
are frequently used in determining odds.&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; text-indent: 0in;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 80.05pt; text-align: justify;&quot;&gt;&lt;b style=&quot;mso-bidi-font-weight: normal;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;Useful&lt;span style=&quot;letter-spacing: -.35pt;&quot;&gt; &lt;/span&gt;Concepts&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 3.85pt; margin-right: 66.9pt; margin-top: 9.6pt; text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;The decision tree algorithm breaks down a dataset into
smaller subsets; while during the same time, an associated decision tree is
incrementally developed. A decision tree consists of nodes (that test for the
value of a&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;certain&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;attribute),&lt;span style=&quot;letter-spacing: -.1pt;&quot;&gt; &lt;/span&gt;edges/branch&lt;span style=&quot;letter-spacing: -.1pt;&quot;&gt; &lt;/span&gt;(that
correspond to the&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;outcome of a&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;test and&lt;span style=&quot;letter-spacing: -.15pt;&quot;&gt;
&lt;/span&gt;connect to&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;next node or leaf) &amp;amp; leaf nodes (the
terminal nodes that predict the outcome) that makes it a complete structure.&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoBodyText&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 3.85pt; margin-right: 66.9pt; margin-top: 9.6pt; text-align: justify;&quot;&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/AVvXsEh-n3Xqytx5ipDTWLbPmryejJRxYzYsHRXGFxWn7znrokutJ-qQbkikwa1IIBUQi4N6PtMF3lgVcDXe5ybRPa42zgS6U4qnbYVE_hRD_RMw492QKUClKSJHvH3zyup91z44GlCYDJtsVhZ_6P737znVQRDJKiF6Sk17RPCq5sGk5MLO27u6MtbJxG6WERI/s925/21.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;620&quot; data-original-width=&quot;925&quot; height=&quot;214&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh-n3Xqytx5ipDTWLbPmryejJRxYzYsHRXGFxWn7znrokutJ-qQbkikwa1IIBUQi4N6PtMF3lgVcDXe5ybRPa42zgS6U4qnbYVE_hRD_RMw492QKUClKSJHvH3zyup91z44GlCYDJtsVhZ_6P737znVQRDJKiF6Sk17RPCq5sGk5MLO27u6MtbJxG6WERI/s320/21.png&quot; width=&quot;320&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 class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiQVAbi8HNhNXFs7X4lPhax9e89kgAK9tiwr_SOBJKwNs7L9paVcaGVuxJ-7xL7ealX4UclFLe_U9ypLoKCOQ0K2K4roCozitDNpPDZq2bf_qUUzzEoL4Zk7OcubbHy6wb8DFJ6I5HDfFmtoHnSu3LLeh9HAN3fvIB0SdO5pX9IXiQWIiEMLYvvkYCOAZQ/s240/22.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;187&quot; data-original-width=&quot;240&quot; height=&quot;187&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiQVAbi8HNhNXFs7X4lPhax9e89kgAK9tiwr_SOBJKwNs7L9paVcaGVuxJ-7xL7ealX4UclFLe_U9ypLoKCOQ0K2K4roCozitDNpPDZq2bf_qUUzzEoL4Zk7OcubbHy6wb8DFJ6I5HDfFmtoHnSu3LLeh9HAN3fvIB0SdO5pX9IXiQWIiEMLYvvkYCOAZQ/s1600/22.jpg&quot; width=&quot;240&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;p&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&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; line-height: 115%;&quot;&gt;An
example &lt;/span&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; line-height: 115%;&quot;&gt;of a decision tree can be explained using above
binary tree. Let’s say you want to predict whether&lt;span style=&quot;letter-spacing: 1.4pt;&quot;&gt; &lt;/span&gt;a&lt;span style=&quot;letter-spacing: 1.6pt;&quot;&gt; &lt;/span&gt;person&lt;span style=&quot;letter-spacing: 1.6pt;&quot;&gt; &lt;/span&gt;is&lt;span style=&quot;letter-spacing: 1.5pt;&quot;&gt; &lt;/span&gt;fit&lt;span style=&quot;letter-spacing: 1.5pt;&quot;&gt; &lt;/span&gt;given&lt;span style=&quot;letter-spacing: 1.6pt;&quot;&gt; &lt;/span&gt;their&lt;span style=&quot;letter-spacing: 1.6pt;&quot;&gt; &lt;/span&gt;information&lt;span style=&quot;letter-spacing: 1.5pt;&quot;&gt; &lt;/span&gt;like&lt;span style=&quot;letter-spacing: 1.55pt;&quot;&gt; &lt;/span&gt;age,&lt;span style=&quot;letter-spacing: 1.55pt;&quot;&gt; &lt;/span&gt;eating&lt;span style=&quot;letter-spacing: 1.55pt;&quot;&gt;
&lt;/span&gt;habit,&lt;span style=&quot;letter-spacing: 1.55pt;&quot;&gt; &lt;/span&gt;and&lt;span style=&quot;letter-spacing: 1.55pt;&quot;&gt; &lt;/span&gt;physical&lt;span style=&quot;letter-spacing: 1.65pt;&quot;&gt;
&lt;/span&gt;activity,&lt;span style=&quot;letter-spacing: 1.5pt;&quot;&gt; &lt;/span&gt;etc.&lt;span style=&quot;letter-spacing: 1.65pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -.25pt;&quot;&gt;The
decision nodes here are questions like ‘What’s the age?’, ‘Does he exercise?’,
and ‘Does he eat a lot of pizzas’? And the leaves, which are outcomes like
either ‘fit’, or ‘unfit’. In this case this was a binary classification problem
(a yes no type problem). There are two main types of Decision Trees:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: .25in; mso-list: l0 level1 lfo1; text-align: justify; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;1.&lt;span style=&quot;font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;!--[endif]--&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14.0pt; letter-spacing: -.25pt; line-height: 115%; mso-bidi-font-size: 12.0pt;&quot;&gt;Classification trees &lt;/span&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; letter-spacing: -.25pt; line-height: 115%;&quot;&gt;(Yes/No
types)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; line-height: 115%;&quot;&gt;A
classification tree is an algorithm where the target variable is fixed or
categorical. The algorithm is then used to identify the “class” within which a
target variable would most likely fall.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; line-height: 115%;&quot;&gt;An
example of a classification-type problem would be determining who will or will
not subscribe to a digital platform; or who will or will not graduate from high
school.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; line-height: 115%;&quot;&gt;These
are examples of simple binary classifications where the categorical dependent
variable can assume only one of two, mutually exclusive values. In other cases,
you might have to predict among a number of different variables. For instance,
you may have to predict which type of smartphone a consumer may decide to
purchase.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; line-height: 115%;&quot;&gt;In
such cases, there are multiple values for the categorical dependent variable.
Here’s what a classic classification tree looks like&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&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/AVvXsEgqsFM-vclmZwuIyYwObomjmMwyW9Ux5o8GSTmHoiV5GL9YO7I8qmO7pGbFssnnyPnPdz-2UvGYPCiGTJCeMVutjhnUq-BQtftjxyxdO1HtD8lR6TmENEsAca32ErgFqc8pOGctzCYzxEeYY2BKmA54inL6EmTEGReSloKojOxqYV53hsA6k43oMh-fCzk/s496/23.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;345&quot; data-original-width=&quot;496&quot; height=&quot;223&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgqsFM-vclmZwuIyYwObomjmMwyW9Ux5o8GSTmHoiV5GL9YO7I8qmO7pGbFssnnyPnPdz-2UvGYPCiGTJCeMVutjhnUq-BQtftjxyxdO1HtD8lR6TmENEsAca32ErgFqc8pOGctzCYzxEeYY2BKmA54inL6EmTEGReSloKojOxqYV53hsA6k43oMh-fCzk/s320/23.png&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: .25in; mso-list: l0 level1 lfo1; text-align: justify; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;1.&lt;span style=&quot;font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;!--[endif]--&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14.0pt; letter-spacing: -.25pt; line-height: 115%; mso-bidi-font-size: 12.0pt;&quot;&gt;Regression trees &lt;/span&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; letter-spacing: -.25pt; line-height: 115%;&quot;&gt;(Continuous
data types)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; line-height: 115%;&quot;&gt;A
regression tree refers to an algorithm where the target variable is and the
algorithm is used to predict it’s value. As an example of a regression type
problem, you may want to predict the selling prices of a residential house,
which is a continuous dependent variable.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; line-height: 115%;&quot;&gt;This will depend on
both continuous factors like square footage as well as categorical factors like
the style of home, area in which the property is located and so on.&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&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/AVvXsEj-wwMCDRPFlzE4gOXuFmum8S6NUKN-GfqLfLhJ_CqKcTMAGy7LSJ16o3NNDRsFcxzCd4ERHr7FWZ1xecJOcGXnI1hd91ChDHlIMTXcTFgqQIWNQ6bETFwvsSc5saJHRKVNZ8aTjwxbdQX00U1rile9pNdqu9zlu6YCx7pEpAV3VtUZoeD1Xzq9Js9XDlQ/s650/24.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;649&quot; data-original-width=&quot;650&quot; height=&quot;320&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-wwMCDRPFlzE4gOXuFmum8S6NUKN-GfqLfLhJ_CqKcTMAGy7LSJ16o3NNDRsFcxzCd4ERHr7FWZ1xecJOcGXnI1hd91ChDHlIMTXcTFgqQIWNQ6bETFwvsSc5saJHRKVNZ8aTjwxbdQX00U1rile9pNdqu9zlu6YCx7pEpAV3VtUZoeD1Xzq9Js9XDlQ/s320/24.jpg&quot; width=&quot;320&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;p&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&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: 16.0pt; line-height: 115%;&quot;&gt;Important
Terms Used in Decision Trees&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;1.&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;b&gt;Entropy&lt;/b&gt;:
Entropy is the measure of uncertainty or randomness in a data set. Entropy
handles how a decision tree splits the data.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;It is calculated using
the following formula:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&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/AVvXsEj6lsFzXmpNM1tsNwMVFZ1v5nX2rFkESZg3n5RzeANQl6TJPMZ4KhlxTHi-wHXcR8YCsQwIubEyAVGhDsfpC8CNxBMXcdjjqSpVKnOo7wb3KikNi9aL74i3CmB8SUIJOz_55T0ohbPRSJm87XiuaPnVh1TyDOOTB56jA6UnPgt9cHoUxFd5y1VP0UV1PWg&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;87&quot; data-original-width=&quot;301&quot; height=&quot;92&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEj6lsFzXmpNM1tsNwMVFZ1v5nX2rFkESZg3n5RzeANQl6TJPMZ4KhlxTHi-wHXcR8YCsQwIubEyAVGhDsfpC8CNxBMXcdjjqSpVKnOo7wb3KikNi9aL74i3CmB8SUIJOz_55T0ohbPRSJm87XiuaPnVh1TyDOOTB56jA6UnPgt9cHoUxFd5y1VP0UV1PWg&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;

&lt;p align=&quot;center&quot; class=&quot;MsoNormal&quot; style=&quot;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; line-height: 115%; mso-no-proof: yes;&quot;&gt;&lt;v:shapetype coordsize=&quot;21600,21600&quot; filled=&quot;f&quot; id=&quot;_x0000_t75&quot; o:preferrelative=&quot;t&quot; o:spt=&quot;75&quot; path=&quot;m@4@5l@4@11@9@11@9@5xe&quot; stroked=&quot;f&quot;&gt;
 &lt;v:stroke joinstyle=&quot;miter&quot;&gt;
 &lt;v:formulas&gt;
  &lt;v:f eqn=&quot;if lineDrawn pixelLineWidth 0&quot;&gt;
  &lt;v:f eqn=&quot;sum @0 1 0&quot;&gt;
  &lt;v:f eqn=&quot;sum 0 0 @1&quot;&gt;
  &lt;v:f eqn=&quot;prod @2 1 2&quot;&gt;
  &lt;v:f eqn=&quot;prod @3 21600 pixelWidth&quot;&gt;
  &lt;v:f eqn=&quot;prod @3 21600 pixelHeight&quot;&gt;
  &lt;v:f eqn=&quot;sum @0 0 1&quot;&gt;
  &lt;v:f eqn=&quot;prod @6 1 2&quot;&gt;
  &lt;v:f eqn=&quot;prod @7 21600 pixelWidth&quot;&gt;
  &lt;v:f eqn=&quot;sum @8 21600 0&quot;&gt;
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  &lt;v:f eqn=&quot;sum @10 21600 0&quot;&gt;
 &lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:formulas&gt;
 &lt;v:path gradientshapeok=&quot;t&quot; o:connecttype=&quot;rect&quot; o:extrusionok=&quot;f&quot;&gt;
 &lt;o:lock aspectratio=&quot;t&quot; v:ext=&quot;edit&quot;&gt;
&lt;/o:lock&gt;&lt;/v:path&gt;&lt;/v:stroke&gt;&lt;/v:shapetype&gt;&lt;v:shape id=&quot;Picture_x0020_2&quot; o:spid=&quot;_x0000_i1025&quot; style=&quot;height: 42pt; mso-wrap-style: square; visibility: visible; width: 144.5pt;&quot; type=&quot;#_x0000_t75&quot;&gt;
 &lt;v:imagedata o:title=&quot;&quot; src=&quot;file:///C:\Users\SRLAPT~1\AppData\Local\Temp\msohtmlclip1\01\clip_image001.png&quot;&gt;
&lt;/v:imagedata&gt;&lt;/v:shape&gt;&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&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: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;2.&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;b&gt;Information&lt;/b&gt;
&lt;b&gt;Gain&lt;/b&gt;: The information gain measures
the decrease in entropy after the data set is split.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;It is calculated as
follows:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p align=&quot;center&quot; class=&quot;MsoNormal&quot; style=&quot;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; line-height: 115%;&quot;&gt;IG(
Y, X) = Entropy (Y) - Entropy ( Y | X)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;3.&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;b&gt;Gini&lt;/b&gt;
&lt;b&gt;Index&lt;/b&gt;: The Gini Index is used to
determine the correct variable for splitting nodes. It measures how often a
randomly chosen variable would be incorrectly identified.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;4.&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;b&gt;Root&lt;/b&gt;
&lt;b&gt;Node&lt;/b&gt;: The root node is always the
top node of a decision tree. It represents the entire population or data
sample, and it can be further divided into different sets.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;5.&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;b&gt;Decision&lt;/b&gt;
&lt;b&gt;Node&lt;/b&gt;: Decision nodes are sub-nodes
that can be split into different sub-nodes; they contain at least two branches.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;6.&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;b&gt;Leaf&lt;/b&gt;
&lt;b&gt;Node&lt;/b&gt;: A leaf node in a decision tree
carries the final results. These nodes, which are also known as terminal nodes,
cannot be split any further.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&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: 14.0pt; line-height: 115%; mso-bidi-font-size: 12.0pt;&quot;&gt;How to avoid/counter Overfitting in
Decision Trees?&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;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;The common problem with
Decision trees, especially having a table full of columns, they fit a lot.
Sometimes it looks like the tree memorized the training data set. If there is
no limit set on a decision tree, it will give you 100% accuracy on the training
data set because in the worse case it will end up making 1 leaf for each
observation. Thus this affects the accuracy when predicting samples that are
not part of the training set.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;Here are two ways to
remove overfitting:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;1.&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Pruning Decision Trees.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;2.&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Random Forest&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&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; line-height: 115%;&quot;&gt;Pruning
Decision Trees:&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;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;The splitting process
results in fully grown trees until the stopping criteria are reached. But, the
fully grown tree is likely to overfit the data, leading to poor accuracy on
unseen data.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;In pruning, you trim
off the branches of the tree, i.e., remove the decision nodes starting from the
leaf node such that the overall accuracy is not disturbed. This is done by
segregating the actual training set into two sets: training data set, D and
validation data set, V. Prepare the decision tree using the segregated training
data set, D. Then continue trimming the tree accordingly to optimize the
accuracy of the validation data set, V.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;In the above diagram,
the ‘Age’ attribute in the left-hand side of the tree has been pruned as it has
more importance on the right-hand side of the tree, hence removing overfitting.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&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; line-height: 115%;&quot;&gt;Random
Forest:&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;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;Random Forest is an
example of ensemble learning, in which we combine multiple machine learning
algorithms to obtain better predictive performance.&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;While implementing the
decision tree we will go through the following two phases:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;1.&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Building Phase&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in; text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;•&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Preprocess the dataset.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in; text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;•&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Split the dataset from train and test
using Python sklearn package.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in; text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;•&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Train the classifier.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;2.&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Operational Phase&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in; text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;•&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Make predictions.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in; text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;•&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Calculate the accuracy.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;/div&gt;&lt;h2 style=&quot;text-align: left;&quot;&gt;&lt;u&gt;ID3:&lt;/u&gt;&lt;/h2&gt;&lt;div&gt;&lt;div class=&quot;WordSection1&quot;&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .2pt; margin-left: 0in; margin-right: 62.7pt; margin-top: 11.85pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: Calibri;&quot;&gt;There are many algorithms out there which
construct Decision Trees, but one of the best is called as &lt;b&gt;ID3 Algorithm&lt;/b&gt;. ID3 Stands for&lt;span style=&quot;letter-spacing: -.1pt;&quot;&gt; &lt;/span&gt;&lt;b&gt;Iterative Dichotomiser 3&lt;/b&gt;. Before
discussing the ID3 algorithm, we’ll go through few definitions.&lt;span style=&quot;letter-spacing: -.1pt;&quot;&gt; &lt;/span&gt;&lt;b&gt;Entropy&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;&lt;/b&gt;Entropy, also called as Shannon
Entropy is denoted by H(S) for a finite set S, is the measure of the amount of
uncertainty or randomness in data.&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .2pt; margin-left: 0in; margin-right: 62.7pt; margin-top: 11.85pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: Calibri;&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/AVvXsEghNhgHwMlT9VXQBTxJD51lLhLFhKfOUOd3N5BWc1DP1n1w2jgogqgBynkn6b0MLdbONvOqLajpWfdKGomkeqCDIAuTl7-ntpVJ1-xZzcQ1xBkGgdXSom2U1ga4KYsbESmOWVoxdt_N3MIwrsPqxMYYbz0myorErzGZoZQLQ5aDs5I63c5myB_5urkpj_E&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;102&quot; data-original-width=&quot;276&quot; height=&quot;118&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEghNhgHwMlT9VXQBTxJD51lLhLFhKfOUOd3N5BWc1DP1n1w2jgogqgBynkn6b0MLdbONvOqLajpWfdKGomkeqCDIAuTl7-ntpVJ1-xZzcQ1xBkGgdXSom2U1ga4KYsbESmOWVoxdt_N3MIwrsPqxMYYbz0myorErzGZoZQLQ5aDs5I63c5myB_5urkpj_E&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;

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&lt;/o:lock&gt;&lt;/v:imagedata&gt;&lt;/v:shape&gt;&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: Calibri;&quot;&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: .0001pt; margin-bottom: 0in; margin-left: 0in; margin-right: 62.65pt; margin-top: .05pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: Calibri;&quot;&gt;Intuitively,
it tells us about the predictability of a certain event. Example, consider a
coin toss whose probability of heads is 0.5 and probability of tails is 0.5.
Here the entropy is the highest possible, since there’s no way of determining
what the outcome might be. Alternatively, consider a coin which has heads on
both the sides, the entropy of such an event can be predicted perfectly since
we know beforehand that it’ll always be heads. In other words, this event has&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;&lt;b&gt;no
randomness&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;&lt;/b&gt;hence it’s entropy is&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;zero.&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;In&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;particular,&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;lower&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;values&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;imply&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;less&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;uncertainty&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;while&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;higher&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;values&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;imply&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;high uncertainty.&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt; &lt;/span&gt;&lt;b&gt;Information Gain&lt;span style=&quot;letter-spacing: -.1pt;&quot;&gt; &lt;/span&gt;&lt;/b&gt;Information gain is also called as
Kullback-Leibler divergence denoted by IG(S,A) for a set S is the effective
change in entropy after deciding on a particular attribute A. It measures the
relative change in entropy with respect to the independent variables&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p align=&quot;center&quot; class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 0in; margin-right: 15.65pt; margin-top: 9.6pt; mso-pagination: none; text-align: center; text-autospace: none;&quot;&gt;&lt;i&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.1pt; mso-bidi-font-family: Calibri; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: Calibri;&quot;&gt;IG&lt;/span&gt;&lt;/i&gt;&lt;span style=&quot;font-family: Symbol; font-size: 16.0pt; letter-spacing: -.1pt; mso-bidi-font-family: Calibri; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: Calibri;&quot;&gt;(&lt;/span&gt;&lt;i&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.1pt; mso-bidi-font-family: Calibri; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: Calibri;&quot;&gt;S&lt;/span&gt;&lt;/i&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; 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&lt;/div&gt;

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&lt;/span&gt;

&lt;div class=&quot;WordSection2&quot;&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 0in; margin-top: 1.4pt; mso-pagination: none; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.1pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri;&quot;&gt;Alternativel&lt;/span&gt;&lt;span style=&quot;letter-spacing: -.1pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri;&quot;&gt;y,&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;

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&lt;/span&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 1.25pt; margin-left: 0in; margin-right: 0in; margin-top: 3.2pt; mso-pagination: none; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-size: 10.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

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font-size: 15.5pt; letter-spacing: -.25pt; mso-bidi-font-family: Calibri; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: Calibri;&quot;&gt;(&lt;/span&gt;&lt;i&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; mso-bidi-font-family: Calibri; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: Calibri;&quot;&gt;x&lt;/span&gt;&lt;/i&gt;&lt;span style=&quot;font-family: Symbol; font-size: 15.5pt; letter-spacing: -.25pt; mso-bidi-font-family: Calibri; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: Calibri;&quot;&gt;)&lt;/span&gt;&lt;span style=&quot;font-family: Symbol; font-size: 15.5pt; mso-bidi-font-family: Calibri; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: Calibri;&quot;&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: 7.3pt; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 134.55pt; margin-right: 0in; margin-top: 0in; mso-line-height-rule: exactly; mso-pagination: none; text-autospace: none;&quot;&gt;&lt;i&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 7.0pt; letter-spacing: -.25pt; mso-bidi-font-family: Calibri; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: Calibri;&quot;&gt;i&lt;/span&gt;&lt;/i&gt;&lt;span style=&quot;font-family: Symbol; font-size: 7.0pt; letter-spacing: -.25pt; mso-bidi-font-family: Calibri; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: Calibri;&quot;&gt;=&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 7.0pt; letter-spacing: -.25pt; mso-bidi-font-family: Calibri; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: Calibri;&quot;&gt;0&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 7.0pt; mso-bidi-font-family: Calibri; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: Calibri;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;/div&gt;

&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US;&quot;&gt;&lt;br clear=&quot;all&quot; style=&quot;mso-break-type: section-break; page-break-before: always;&quot; /&gt;
&lt;/span&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 0in; margin-right: 62.8pt; margin-top: 9.6pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: Calibri;&quot;&gt;where
IG(S, A) is the information gain by applying feature A. H(S) is the Entropy of
the entire set, while the second term calculates the Entropy after applying the
feature A, where P(x) is the probability of event x. Let’s understand this with
the help of an example Consider a piece of data collected over the course of 14
days where the features are Outlook, Temperature, Humidity, Wind and the
outcome variable is whether Golf was played on the day. Now, our job is to
build a predictive model which takes in above 4 parameters and predicts whether
Golf will be played on the day. We’ll build a decision tree&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;to do that using &lt;b&gt;ID3 algorithm.&lt;o:p&gt;&lt;/o:p&gt;&lt;/b&gt;&lt;/span&gt;&lt;/p&gt;&lt;table border=&quot;1&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;MsoNormalTable&quot; style=&quot;border-collapse: collapse; border: none; margin-left: -.5pt; mso-border-alt: solid black .5pt; mso-border-insideh: .5pt solid black; mso-border-insidev: .5pt solid black; mso-padding-alt: 0in 0in 0in 0in; mso-table-layout-alt: fixed; mso-yfti-tbllook: 480; width: 606px;&quot;&gt;
 &lt;tbody&gt;&lt;tr style=&quot;height: 15.8pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;&quot;&gt;
  &lt;td style=&quot;border: solid black 1.0pt; height: 15.8pt; mso-border-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 25.1pt;&quot; valign=&quot;top&quot; width=&quot;50&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .7pt; margin-right: 0in; margin-top: 4.45pt; mso-pagination: none; text-autospace: none;&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; letter-spacing: -.25pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Day&lt;/span&gt;&lt;/b&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;;&quot;&gt;&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-left: none; border: solid black 1.0pt; height: 15.8pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.85pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .7pt; margin-right: 0in; margin-top: 4.45pt; mso-pagination: none; text-autospace: none;&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; letter-spacing: -.1pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Outlook&lt;/span&gt;&lt;/b&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;;&quot;&gt;&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-left: none; border: solid black 1.0pt; height: 15.8pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 77.7pt;&quot; valign=&quot;top&quot; width=&quot;155&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .7pt; margin-right: 0in; margin-top: 4.45pt; mso-pagination: none; text-autospace: none;&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; letter-spacing: -.1pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Temperature&lt;/span&gt;&lt;/b&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;;&quot;&gt;&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-left: none; border: solid black 1.0pt; height: 15.8pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 54.75pt;&quot; valign=&quot;top&quot; width=&quot;110&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: 4.45pt; mso-pagination: none; text-autospace: none;&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; letter-spacing: -.1pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Humidity&lt;/span&gt;&lt;/b&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;;&quot;&gt;&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-left: none; border: solid black 1.0pt; height: 15.8pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.85pt;&quot; valign=&quot;top&quot; width=&quot;80&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: 4.45pt; mso-pagination: none; text-autospace: none;&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; letter-spacing: -.2pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Wind&lt;/span&gt;&lt;/b&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;;&quot;&gt;&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-left: none; border: solid black 1.0pt; height: 15.8pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.95pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: 4.45pt; mso-pagination: none; text-autospace: none;&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;;&quot;&gt;Play&lt;span style=&quot;letter-spacing: -.15pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt;Golf&lt;/span&gt;&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;height: 10.0pt; mso-yfti-irow: 1;&quot;&gt;
  &lt;td style=&quot;border-top: none; border: solid black 1.0pt; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 25.1pt;&quot; valign=&quot;top&quot; width=&quot;50&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .7pt; margin-right: 0in; margin-top: .5pt; mso-pagination: none; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;D1&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.85pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .7pt; margin-right: 0in; margin-top: .5pt; mso-pagination: none; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.1pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Sunny&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
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  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 77.7pt;&quot; valign=&quot;top&quot; width=&quot;155&quot;&gt;
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  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.85pt;&quot; valign=&quot;top&quot; width=&quot;80&quot;&gt;
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  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.95pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .5pt; mso-pagination: none; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;No&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 9.9pt; mso-yfti-irow: 2;&quot;&gt;
  &lt;td style=&quot;border-top: none; border: solid black 1.0pt; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 25.1pt;&quot; valign=&quot;top&quot; width=&quot;50&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .7pt; margin-right: 0in; margin-top: .35pt; mso-pagination: none; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;D2&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.85pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .7pt; margin-right: 0in; margin-top: .35pt; mso-pagination: none; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.1pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Sunny&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 77.7pt;&quot; valign=&quot;top&quot; width=&quot;155&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .7pt; margin-right: 0in; margin-top: .35pt; mso-pagination: none; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Hot&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 54.75pt;&quot; valign=&quot;top&quot; width=&quot;110&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .35pt; mso-pagination: none; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.2pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;High&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.85pt;&quot; valign=&quot;top&quot; width=&quot;80&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .35pt; mso-pagination: none; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.1pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Strong&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.95pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .35pt; mso-pagination: none; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;No&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 10.0pt; mso-yfti-irow: 3;&quot;&gt;
  &lt;td style=&quot;border-top: none; border: solid black 1.0pt; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 25.1pt;&quot; valign=&quot;top&quot; width=&quot;50&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .7pt; margin-right: 0in; margin-top: .5pt; mso-pagination: none; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;D3&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.85pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .7pt; margin-right: 0in; margin-top: .5pt; mso-pagination: none; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.1pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Overcast&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 77.7pt;&quot; valign=&quot;top&quot; width=&quot;155&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .7pt; margin-right: 0in; margin-top: .5pt; mso-pagination: none; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Hot&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 54.75pt;&quot; valign=&quot;top&quot; width=&quot;110&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .5pt; mso-pagination: none; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.2pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;High&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.85pt;&quot; valign=&quot;top&quot; width=&quot;80&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .5pt; mso-pagination: none; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.2pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Weak&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.95pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .5pt; mso-pagination: none; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Yes&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 9.9pt; mso-yfti-irow: 4;&quot;&gt;
  &lt;td style=&quot;border-top: none; border: solid black 1.0pt; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 25.1pt;&quot; valign=&quot;top&quot; width=&quot;50&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.25pt;&quot;&gt;D4&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.85pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.2pt;&quot;&gt;Rain&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 77.7pt;&quot; valign=&quot;top&quot; width=&quot;155&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.2pt;&quot;&gt;Mild&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 54.75pt;&quot; valign=&quot;top&quot; width=&quot;110&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.2pt;&quot;&gt;High&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.85pt;&quot; valign=&quot;top&quot; width=&quot;80&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.2pt;&quot;&gt;Weak&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.95pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.25pt;&quot;&gt;Yes&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 10.0pt; mso-yfti-irow: 5;&quot;&gt;
  &lt;td style=&quot;border-top: none; border: solid black 1.0pt; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 25.1pt;&quot; valign=&quot;top&quot; width=&quot;50&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.25pt;&quot;&gt;D5&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.85pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.2pt;&quot;&gt;Rain&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 77.7pt;&quot; valign=&quot;top&quot; width=&quot;155&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.2pt;&quot;&gt;Cool&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 54.75pt;&quot; valign=&quot;top&quot; width=&quot;110&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.1pt;&quot;&gt;Normal&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.85pt;&quot; valign=&quot;top&quot; width=&quot;80&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.2pt;&quot;&gt;Weak&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.95pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.25pt;&quot;&gt;Yes&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 9.9pt; mso-yfti-irow: 6;&quot;&gt;
  &lt;td style=&quot;border-top: none; border: solid black 1.0pt; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 25.1pt;&quot; valign=&quot;top&quot; width=&quot;50&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.25pt;&quot;&gt;D6&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.85pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.2pt;&quot;&gt;Rain&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 77.7pt;&quot; valign=&quot;top&quot; width=&quot;155&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.2pt;&quot;&gt;Cool&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 54.75pt;&quot; valign=&quot;top&quot; width=&quot;110&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.1pt;&quot;&gt;Normal&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.85pt;&quot; valign=&quot;top&quot; width=&quot;80&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.1pt;&quot;&gt;Strong&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.95pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.25pt;&quot;&gt;No&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 10.0pt; mso-yfti-irow: 7;&quot;&gt;
  &lt;td style=&quot;border-top: none; border: solid black 1.0pt; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 25.1pt;&quot; valign=&quot;top&quot; width=&quot;50&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.25pt;&quot;&gt;D7&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.85pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.1pt;&quot;&gt;Overcast&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 77.7pt;&quot; valign=&quot;top&quot; width=&quot;155&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.2pt;&quot;&gt;Cool&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 54.75pt;&quot; valign=&quot;top&quot; width=&quot;110&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.1pt;&quot;&gt;Normal&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.85pt;&quot; valign=&quot;top&quot; width=&quot;80&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.1pt;&quot;&gt;Strong&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.95pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.25pt;&quot;&gt;Yes&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 9.9pt; mso-yfti-irow: 8;&quot;&gt;
  &lt;td style=&quot;border-top: none; border: solid black 1.0pt; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 25.1pt;&quot; valign=&quot;top&quot; width=&quot;50&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.25pt;&quot;&gt;D8&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.85pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.1pt;&quot;&gt;Sunny&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 77.7pt;&quot; valign=&quot;top&quot; width=&quot;155&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.2pt;&quot;&gt;Mild&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 54.75pt;&quot; valign=&quot;top&quot; width=&quot;110&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.2pt;&quot;&gt;High&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.85pt;&quot; valign=&quot;top&quot; width=&quot;80&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.2pt;&quot;&gt;Weak&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.95pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.25pt;&quot;&gt;No&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 10.0pt; mso-yfti-irow: 9;&quot;&gt;
  &lt;td style=&quot;border-top: none; border: solid black 1.0pt; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 25.1pt;&quot; valign=&quot;top&quot; width=&quot;50&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.25pt;&quot;&gt;D9&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.85pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.1pt;&quot;&gt;Sunny&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 77.7pt;&quot; valign=&quot;top&quot; width=&quot;155&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.2pt;&quot;&gt;Cool&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 54.75pt;&quot; valign=&quot;top&quot; width=&quot;110&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.1pt;&quot;&gt;Normal&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.85pt;&quot; valign=&quot;top&quot; width=&quot;80&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.2pt;&quot;&gt;Weak&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.95pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.25pt;&quot;&gt;Yes&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 9.9pt; mso-yfti-irow: 10;&quot;&gt;
  &lt;td style=&quot;border-top: none; border: solid black 1.0pt; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 25.1pt;&quot; valign=&quot;top&quot; width=&quot;50&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.25pt;&quot;&gt;D10&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.85pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.2pt;&quot;&gt;Rain&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 77.7pt;&quot; valign=&quot;top&quot; width=&quot;155&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.2pt;&quot;&gt;Mild&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 54.75pt;&quot; valign=&quot;top&quot; width=&quot;110&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.1pt;&quot;&gt;Normal&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.85pt;&quot; valign=&quot;top&quot; width=&quot;80&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.2pt;&quot;&gt;Weak&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.95pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.25pt;&quot;&gt;Yes&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 10.0pt; mso-yfti-irow: 11;&quot;&gt;
  &lt;td style=&quot;border-top: none; border: solid black 1.0pt; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 25.1pt;&quot; valign=&quot;top&quot; width=&quot;50&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.25pt;&quot;&gt;D11&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.85pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.1pt;&quot;&gt;Sunny&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 77.7pt;&quot; valign=&quot;top&quot; width=&quot;155&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.2pt;&quot;&gt;Mild&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 54.75pt;&quot; valign=&quot;top&quot; width=&quot;110&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.1pt;&quot;&gt;Normal&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.85pt;&quot; valign=&quot;top&quot; width=&quot;80&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.1pt;&quot;&gt;Strong&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.95pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.25pt;&quot;&gt;Yes&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 9.9pt; mso-yfti-irow: 12;&quot;&gt;
  &lt;td style=&quot;border-top: none; border: solid black 1.0pt; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 25.1pt;&quot; valign=&quot;top&quot; width=&quot;50&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.25pt;&quot;&gt;D12&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.85pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.1pt;&quot;&gt;Overcast&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 77.7pt;&quot; valign=&quot;top&quot; width=&quot;155&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.2pt;&quot;&gt;Mild&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 54.75pt;&quot; valign=&quot;top&quot; width=&quot;110&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.2pt;&quot;&gt;High&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.85pt;&quot; valign=&quot;top&quot; width=&quot;80&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.1pt;&quot;&gt;Strong&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.95pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.25pt;&quot;&gt;Yes&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 10.0pt; mso-yfti-irow: 13;&quot;&gt;
  &lt;td style=&quot;border-top: none; border: solid black 1.0pt; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 25.1pt;&quot; valign=&quot;top&quot; width=&quot;50&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.25pt;&quot;&gt;D13&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.85pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.1pt;&quot;&gt;Overcast&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 77.7pt;&quot; valign=&quot;top&quot; width=&quot;155&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.25pt;&quot;&gt;Hot&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 54.75pt;&quot; valign=&quot;top&quot; width=&quot;110&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.1pt;&quot;&gt;Normal&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.85pt;&quot; valign=&quot;top&quot; width=&quot;80&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.2pt;&quot;&gt;Weak&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 10.0pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.95pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .5pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.25pt;&quot;&gt;Yes&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 9.9pt; mso-yfti-irow: 14; mso-yfti-lastrow: yes;&quot;&gt;
  &lt;td style=&quot;border-top: none; border: solid black 1.0pt; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 25.1pt;&quot; valign=&quot;top&quot; width=&quot;50&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.25pt;&quot;&gt;D14&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.85pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.2pt;&quot;&gt;Rain&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 77.7pt;&quot; valign=&quot;top&quot; width=&quot;155&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.2pt;&quot;&gt;Mild&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 54.75pt;&quot; valign=&quot;top&quot; width=&quot;110&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.2pt;&quot;&gt;High&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.85pt;&quot; valign=&quot;top&quot; width=&quot;80&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.1pt;&quot;&gt;Strong&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 9.9pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 52.95pt;&quot; valign=&quot;top&quot; width=&quot;106&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .65pt; margin-right: 0in; margin-top: .35pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; letter-spacing: -.25pt;&quot;&gt;No&lt;/span&gt;&lt;span style=&quot;font-size: 12.0pt;&quot;&gt;&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; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 0in; margin-right: 62.8pt; margin-top: 9.6pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: Calibri;&quot;&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin: 9.6pt 0in 0.0001pt 62.8pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; mso-fareast-font-family: Calibri;&quot;&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/span&gt;&lt;/p&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='https://salutionteach.blogspot.com/feeds/7299704451211586025/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='https://salutionteach.blogspot.com/2025/04/decision-tree.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/7299704451211586025'/><link rel='self' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/7299704451211586025'/><link rel='alternate' type='text/html' href='https://salutionteach.blogspot.com/2025/04/decision-tree.html' title='Decision tree'/><author><name>salutionteach</name><uri>http://www.blogger.com/profile/15753843071083819831</uri><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/AVvXsEh-n3Xqytx5ipDTWLbPmryejJRxYzYsHRXGFxWn7znrokutJ-qQbkikwa1IIBUQi4N6PtMF3lgVcDXe5ybRPa42zgS6U4qnbYVE_hRD_RMw492QKUClKSJHvH3zyup91z44GlCYDJtsVhZ_6P737znVQRDJKiF6Sk17RPCq5sGk5MLO27u6MtbJxG6WERI/s72-c/21.png" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-8766011798057583516.post-4688586590817845592</id><published>2025-04-18T09:37:00.000-07:00</published><updated>2025-04-18T09:37:53.063-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Multiple Linear Regressions"/><category scheme="http://www.blogger.com/atom/ns#" term="Regression"/><title type='text'>Multiple Linear Regressions</title><content type='html'>&lt;p class=&quot;MsoNormal&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: 16.0pt; line-height: 115%;&quot;&gt;Multiple
Linear Regressions:-&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;Multiple linear regression (MLR), also known simply
as multiple regression, is a statistical technique that uses several
explanatory variables to predict the outcome of a response variable. The goal
of multiple linear regression is to model the linear relationship between the
explanatory (independent) variables and response (dependent) variables. In
essence, multiple regression is the extension of ordinary least-squares (OLS)
regression because it involves more than one explanatory variable. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;Multiple linear regression (MLR), also known simply
as multiple regression, is a statistical technique that uses several
explanatory variables to predict the outcome of a response variable. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;Multiple regression is an extension of linear (OLS)
regression that uses just one explanatory variable.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&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: 14.0pt; line-height: 115%;&quot;&gt;What Multiple Linear Regression Can Tell
You&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

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&lt;/v:shape&gt;&lt;![endif]--&gt;&lt;!--[if !vml]--&gt;&lt;span style=&quot;height: 1px; margin-left: 573px; margin-top: 281px; mso-ignore: vglayout; position: absolute; width: 23px; z-index: 251660285;&quot;&gt;&lt;img height=&quot;1&quot; src=&quot;file:///C:/Users/SRLAPT~1/AppData/Local/Temp/msohtmlclip1/01/clip_image001.png&quot; v:shapes=&quot;Graphic_x0020_133&quot; width=&quot;23&quot; /&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;Simple linear
regression is a function that allows an analyst or statistician to make
predictions about one variable based on the information that is known about
another variable. Linear regression can only be used when one has two
continuous variables&amp;nbsp;&amp;nbsp;  an independent
variable and a dependent variable. The independent variable is the parameter
that is used to calculate the dependent variable or outcome. A multiple
regression model extends to several explanatory variables.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;The multiple regression model is based on the
following assumptions:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 115%;&quot;&gt;There is a linear relationship between the dependent
variables and the independent variables The independent variables are not too
highly correlated with each other&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;yi
observations are selected independently and randomly from the population.&lt;/span&gt;&amp;nbsp;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEhsfPqZbYULqL1xM4Rj2GYhIcaeG6tZyXGJ-vZ2pL9GjnpbStJtLtX3msy4JHLUlLYAZypDbJt9uHr4uRgTWNUh39f9ex8KlXPq2NrvzAQtW8YIOdumnq5m4EPa0epXfkIPMOq_GAjUDbqXmZTcujt1vQXbRhYqa7ewqZoFatRC5JBBZZpZ1zf2TIAAnsE&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;28&quot; data-original-width=&quot;726&quot; height=&quot;12&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEhsfPqZbYULqL1xM4Rj2GYhIcaeG6tZyXGJ-vZ2pL9GjnpbStJtLtX3msy4JHLUlLYAZypDbJt9uHr4uRgTWNUh39f9ex8KlXPq2NrvzAQtW8YIOdumnq5m4EPa0epXfkIPMOq_GAjUDbqXmZTcujt1vQXbRhYqa7ewqZoFatRC5JBBZZpZ1zf2TIAAnsE=w320-h12&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;br /&gt;&lt;/p&gt;&lt;h3 style=&quot;text-align: left;&quot;&gt;&lt;u&gt;code:&lt;/u&gt;&lt;/h3&gt;&lt;p&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;import numpy as np&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;import matplotlib.pyplot as plt&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;import pandas as pd&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&quot;&quot;&quot;## Importing the dataset&quot;&quot;&quot;&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;##&amp;nbsp; dataset = pd.read_csv(r&#39;D:\Regression\50_Startups.csv&#39;)&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;dataset = pd.read_csv(&quot;C:/Users/SR Laptop/Desktop/multiple linear regression/50_Startups.csv&quot;)&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;X = dataset.iloc[:, :-1].values&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;y = dataset.iloc[:, -1].values&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;print(X)&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&quot;&quot;&quot;## Encoding categorical data&quot;&quot;&quot;&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;from sklearn.compose import ColumnTransformer&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;from sklearn.preprocessing import OneHotEncoder&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;ct = ColumnTransformer(transformers=[(&#39;encoder&#39;, OneHotEncoder(), [3])],&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;remainder=&#39;passthrough&#39;)&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;X = np.array(ct.fit_transform(X))&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;print(X)&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&quot;&quot;&quot;## Splitting the dataset into the Training set and Test set&quot;&quot;&quot;&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;from sklearn.model_selection import train_test_split&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;X_train, X_test, y_train, y_test = train_test_split(X, y, test_size = 0.2,&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;random_state = 0)&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&quot;&quot;&quot;## Training the Multiple Linear Regression model on the Training set&quot;&quot;&quot;&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;from sklearn.linear_model import LinearRegression&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;regressor = LinearRegression()&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;regressor.fit(X_train, y_train)&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&quot;&quot;&quot;## Predicting the Test set results&quot;&quot;&quot;&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;y_pred = regressor.predict(X_test)&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;np.set_printoptions(precision=2)&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;print(np.concatenate((y_pred.reshape(len(y_pred),1),&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;y_test.reshape(len(y_test),1)),1))&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;br /&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&quot;&quot;&quot;## Predicting the Test set results in other way&quot;&quot;&quot;&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;y_pred = regressor.predict(X_test)&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;np.set_printoptions(precision=2)&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;br /&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;# Print header&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;print(&quot;Predicted Profit\tActual Profit&quot;)&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;print(&quot;----------------------------------&quot;)&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;br /&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;# Loop to print each pair&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;for pred, actual in zip(y_pred, y_test):&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&amp;nbsp; &amp;nbsp; print(f&quot;{pred:,.2f}\t\t{actual:,.2f}&quot;)&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;br /&gt;&lt;/p&gt;&lt;h3 style=&quot;text-align: left;&quot;&gt;&lt;u&gt;Output:&lt;/u&gt;&lt;/h3&gt;&lt;pre style=&quot;background-color: white; border: none; color: rgba(0, 0, 0, 0.87); font-family: menlo, consolas, &amp;quot;DejaVu Sans Mono&amp;quot;, monospace; font-size: 13px; line-height: 1.3077; margin-bottom: 0px; margin-top: 0px; overflow-wrap: break-word; overflow: auto; padding: 0px; text-wrap-mode: wrap; word-break: break-all;&quot;&gt;[[165349.2 136897.8 471784.1 &#39;New York&#39;]
 [162597.7 151377.59 443898.53 &#39;California&#39;]
 [153441.51 101145.55 407934.54 &#39;Florida&#39;]
 [144372.41 118671.85 383199.62 &#39;New York&#39;]
 [142107.34 91391.77 366168.42 &#39;Florida&#39;]
 [131876.9 99814.71 362861.36 &#39;New York&#39;]
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 [130298.13 145530.06 323876.68 &#39;Florida&#39;]
 [120542.52 148718.95 311613.29 &#39;New York&#39;]
 [123334.88 108679.17 304981.62 &#39;California&#39;]
 [101913.08 110594.11 229160.95 &#39;Florida&#39;]
 [100671.96 91790.61 249744.55 &#39;California&#39;]
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 [86419.7 153514.11 0.0 &#39;New York&#39;]
 [76253.86 113867.3 298664.47 &#39;California&#39;]
 [78389.47 153773.43 299737.29 &#39;New York&#39;]
 [73994.56 122782.75 303319.26 &#39;Florida&#39;]
 [67532.53 105751.03 304768.73 &#39;Florida&#39;]
 [77044.01 99281.34 140574.81 &#39;New York&#39;]
 [64664.71 139553.16 137962.62 &#39;California&#39;]
 [75328.87 144135.98 134050.07 &#39;Florida&#39;]
 [72107.6 127864.55 353183.81 &#39;New York&#39;]
 [66051.52 182645.56 118148.2 &#39;Florida&#39;]
 [65605.48 153032.06 107138.38 &#39;New York&#39;]
 [61994.48 115641.28 91131.24 &#39;Florida&#39;]
 [61136.38 152701.92 88218.23 &#39;New York&#39;]
 [63408.86 129219.61 46085.25 &#39;California&#39;]
 [55493.95 103057.49 214634.81 &#39;Florida&#39;]
 [46426.07 157693.92 210797.67 &#39;California&#39;]
 [46014.02 85047.44 205517.64 &#39;New York&#39;]
 [28663.76 127056.21 201126.82 &#39;Florida&#39;]
 [44069.95 51283.14 197029.42 &#39;California&#39;]
 [20229.59 65947.93 185265.1 &#39;New York&#39;]
 [38558.51 82982.09 174999.3 &#39;California&#39;]
 [28754.33 118546.05 172795.67 &#39;California&#39;]
 [27892.92 84710.77 164470.71 &#39;Florida&#39;]
 [23640.93 96189.63 148001.11 &#39;California&#39;]
 [15505.73 127382.3 35534.17 &#39;New York&#39;]
 [22177.74 154806.14 28334.72 &#39;California&#39;]
 [1000.23 124153.04 1903.93 &#39;New York&#39;]
 [1315.46 115816.21 297114.46 &#39;Florida&#39;]
 [0.0 135426.92 0.0 &#39;California&#39;]
 [542.05 51743.15 0.0 &#39;New York&#39;]
 [0.0 116983.8 45173.06 &#39;California&#39;]]
[[0.0 0.0 1.0 165349.2 136897.8 471784.1]
 [1.0 0.0 0.0 162597.7 151377.59 443898.53]
 [0.0 1.0 0.0 153441.51 101145.55 407934.54]
 [0.0 0.0 1.0 144372.41 118671.85 383199.62]
 [0.0 1.0 0.0 142107.34 91391.77 366168.42]
 [0.0 0.0 1.0 131876.9 99814.71 362861.36]
 [1.0 0.0 0.0 134615.46 147198.87 127716.82]
 [0.0 1.0 0.0 130298.13 145530.06 323876.68]
 [0.0 0.0 1.0 120542.52 148718.95 311613.29]
 [1.0 0.0 0.0 123334.88 108679.17 304981.62]
 [0.0 1.0 0.0 101913.08 110594.11 229160.95]
 [1.0 0.0 0.0 100671.96 91790.61 249744.55]
 [0.0 1.0 0.0 93863.75 127320.38 249839.44]
 [1.0 0.0 0.0 91992.39 135495.07 252664.93]
 [0.0 1.0 0.0 119943.24 156547.42 256512.92]
 [0.0 0.0 1.0 114523.61 122616.84 261776.23]
 [1.0 0.0 0.0 78013.11 121597.55 264346.06]
 [0.0 0.0 1.0 94657.16 145077.58 282574.31]
 [0.0 1.0 0.0 91749.16 114175.79 294919.57]
 [0.0 0.0 1.0 86419.7 153514.11 0.0]
 [1.0 0.0 0.0 76253.86 113867.3 298664.47]
 [0.0 0.0 1.0 78389.47 153773.43 299737.29]
 [0.0 1.0 0.0 73994.56 122782.75 303319.26]
 [0.0 1.0 0.0 67532.53 105751.03 304768.73]
 [0.0 0.0 1.0 77044.01 99281.34 140574.81]
 [1.0 0.0 0.0 64664.71 139553.16 137962.62]
 [0.0 1.0 0.0 75328.87 144135.98 134050.07]
 [0.0 0.0 1.0 72107.6 127864.55 353183.81]
 [0.0 1.0 0.0 66051.52 182645.56 118148.2]
 [0.0 0.0 1.0 65605.48 153032.06 107138.38]
 [0.0 1.0 0.0 61994.48 115641.28 91131.24]
 [0.0 0.0 1.0 61136.38 152701.92 88218.23]
 [1.0 0.0 0.0 63408.86 129219.61 46085.25]
 [0.0 1.0 0.0 55493.95 103057.49 214634.81]
 [1.0 0.0 0.0 46426.07 157693.92 210797.67]
 [0.0 0.0 1.0 46014.02 85047.44 205517.64]
 [0.0 1.0 0.0 28663.76 127056.21 201126.82]
 [1.0 0.0 0.0 44069.95 51283.14 197029.42]
 [0.0 0.0 1.0 20229.59 65947.93 185265.1]
 [1.0 0.0 0.0 38558.51 82982.09 174999.3]
 [1.0 0.0 0.0 28754.33 118546.05 172795.67]
 [0.0 1.0 0.0 27892.92 84710.77 164470.71]
 [1.0 0.0 0.0 23640.93 96189.63 148001.11]
 [0.0 0.0 1.0 15505.73 127382.3 35534.17]
 [1.0 0.0 0.0 22177.74 154806.14 28334.72]
 [0.0 0.0 1.0 1000.23 124153.04 1903.93]
 [0.0 1.0 0.0 1315.46 115816.21 297114.46]
 [1.0 0.0 0.0 0.0 135426.92 0.0]
 [0.0 0.0 1.0 542.05 51743.15 0.0]
 [1.0 0.0 0.0 0.0 116983.8 45173.06]]
[[103015.2  103282.38]
 [132582.28 144259.4 ]
 [132447.74 146121.95]
 [ 71976.1   77798.83]
 [178537.48 191050.39]
 [116161.24 105008.31]
 [ 67851.69  81229.06]
 [ 98791.73  97483.56]
 [113969.44 110352.25]
 [167921.07 166187.94]]
Predicted Profit	Actual Profit
----------------------------------
103,015.20		103,282.38
132,582.28		144,259.40
132,447.74		146,121.95
71,976.10		77,798.83
178,537.48		191,050.39
116,161.24		105,008.31
67,851.69		81,229.06
98,791.73		97,483.56
113,969.44		110,352.25
167,921.07		166,187.94&lt;/pre&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;br /&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='https://salutionteach.blogspot.com/feeds/4688586590817845592/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='https://salutionteach.blogspot.com/2025/04/multiple-linear-regressions.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/4688586590817845592'/><link rel='self' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/4688586590817845592'/><link rel='alternate' type='text/html' href='https://salutionteach.blogspot.com/2025/04/multiple-linear-regressions.html' title='Multiple Linear Regressions'/><author><name>salutionteach</name><uri>http://www.blogger.com/profile/15753843071083819831</uri><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/AVvXsEhsfPqZbYULqL1xM4Rj2GYhIcaeG6tZyXGJ-vZ2pL9GjnpbStJtLtX3msy4JHLUlLYAZypDbJt9uHr4uRgTWNUh39f9ex8KlXPq2NrvzAQtW8YIOdumnq5m4EPa0epXfkIPMOq_GAjUDbqXmZTcujt1vQXbRhYqa7ewqZoFatRC5JBBZZpZ1zf2TIAAnsE=s72-w320-h12-c" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-8766011798057583516.post-7026658072065834776</id><published>2025-04-18T09:21:00.000-07:00</published><updated>2025-04-18T09:21:59.701-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Machine Learning"/><category scheme="http://www.blogger.com/atom/ns#" term="Simple linear regression"/><title type='text'>Simple linear regression</title><content type='html'>&lt;p&gt;&amp;nbsp;&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; line-height: 97%;&quot;&gt;Simple linear regression:-&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 97%; margin-bottom: 10.0pt; margin-left: 0in; margin-right: 57.0pt; margin-top: 8.0pt; tab-stops: 39.4pt 39.5pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 97%;&quot;&gt;There
is only one continuous independent variable x and the assumed relation between
the independent variable and the dependent variable y is&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p align=&quot;center&quot; class=&quot;MsoNormal&quot; style=&quot;line-height: 97%; margin-bottom: 10.0pt; margin-left: 0in; margin-right: 57.0pt; margin-top: 8.0pt; tab-stops: 39.4pt 39.5pt; 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; line-height: 97%;&quot;&gt;y = a + bx.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 97%; margin-bottom: 10.0pt; margin-left: 0in; margin-right: 57.0pt; margin-top: 8.0pt; tab-stops: 39.4pt 39.5pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 97%;&quot;&gt;Simple
linear regression is an approach for predicting a response using a single
feature. It is assumed that the two variables are linearly related. Hence, we
try to find a linear function that predicts the response value(y) as accurately
as possible as a function of the feature or independent variable(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: 97%; margin-bottom: 10.0pt; margin-left: 0in; margin-right: 57.0pt; margin-top: 8.0pt; tab-stops: 39.4pt 39.5pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 97%;&quot;&gt;Let
us start to experiment with Simple Linear Regression: &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 97%; margin-bottom: 10.0pt; margin-left: 0in; margin-right: 57.0pt; margin-top: 8.0pt; tab-stops: 39.4pt 39.5pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 97%;&quot;&gt;Download
the dataset:&lt;b style=&quot;mso-bidi-font-weight: normal;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/b&gt;&lt;/span&gt;&lt;/p&gt;&lt;h3 style=&quot;text-align: left;&quot;&gt;&lt;u&gt;Code:&lt;/u&gt;&lt;/h3&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 97%; margin-bottom: 10.0pt; margin-left: 0in; margin-right: 57.0pt; margin-top: 8.0pt; tab-stops: 39.4pt 39.5pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 97%;&quot;&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;import
numpy as np&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;import
pandas as pd&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;import
matplotlib.pyplot as plt&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;##
load the dataset&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;dataset
= pd.read_csv(&quot;C:\\Users\\SR Laptop\\Desktop\\Linear
regression\\Salary_dataset.csv&quot;)&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;X
=dataset.iloc[:, 0:1].values&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;y
= dataset.iloc[:, -1].values&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;##Spliting
the datasets into training and testing test&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;from
sklearn.model_selection import train_test_split&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;X_train,
X_test, y_train, y_test= train_test_split(X,y, test_size=0.7, random_state=0)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;print(&quot;features
YOE:&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;&quot;, X_train)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;print(&quot;&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;&quot;)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;print(&quot;Label
Salary:&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;&quot;, y_train)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;print(&quot;&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;&quot;)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;print(&quot;features
YOE:&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;&quot;, X_test)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;print(&quot;&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;&quot;)&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;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;print(&quot;Label
Salary:&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;&quot;, y_test)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;print(&quot;&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;&quot;)&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;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;#train
the simple linear regression model on the training sets&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;from
sklearn.linear_model import LinearRegression&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;regressor=
LinearRegression()&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;regressor.fit(X_train,
y_train)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;print(&quot;features
YOE:&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;&quot;, X_train)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;print(&quot;&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;&quot;) &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;print(&quot;Label
Salary:&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;&quot;, y_train)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;print(&quot;&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;&quot;) &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;print(&quot;features
YOE:&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;&quot;, X_test)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;print(&quot;&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;&quot;) &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;print(&quot;Label
Salary:&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;&quot;,&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;y_test)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;print(&quot;&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;&quot;) &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;##predict
the test sets results&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;y_pred
= regressor.predict(X_test)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;##visualizing
the training set results&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;plt.scatter(X_train,y_train,color=&#39;r&#39;)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;plt.plot(X_train,
regressor.predict (X_train), color=&#39;b&#39;)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;plt.title(&#39;salary
vs experince(training set)&#39;)&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;&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;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;plt.xlabel(&#39;years
of exprence&#39;)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;plt.ylabel(&#39;salary&#39;)&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&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;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;plt.show()&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;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;##Visualizing
the test set Results &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;plt.scatter(X_test,y_test,color=&#39;r&#39;)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;plt.plot(X_train,
regressor.predict (X_train), color=&#39;b&#39;)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;plt.title(&#39;salary
vs experince(testing set)&#39;)&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;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;plt.xlabel(&#39;years
of exprence&#39;)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;plt.ylabel(&#39;salary&#39;)&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&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;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;plt.show()&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&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;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;##visulization
with predicted values&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;plt.scatter(X_test,y_test,color=&#39;r&#39;)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;plt.plot(X_test,
y_pred, color=&#39;b&#39;)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;plt.title(&#39;salary
vs experince(predicted test values)&#39;)&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;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;plt.xlabel(&#39;years
of exprence&#39;)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;plt.ylabel(&#39;salary&#39;)&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&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;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;plt.show()&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&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;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;##make
a single prediction&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;single_prediction=
regressor.predict([[12]])&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;print(single_prediction)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;##print
the model parameters&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;coefficient=
regressor.coef_&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;print(&quot;coefficient
is:&quot;, coefficient)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;intercept=
regressor.intercept_&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;print(&quot;intercept
is:&quot;, intercept)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;##manual
calculation of salary prediction extra part&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;manual_prediction=
2835.78327444 + 33603.2285041225*15&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;print(&quot;manual
prediction by using coeficient and intercept: &quot;, manual_prediction)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;#auto
prediction&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;auto_prediction=
regressor.predict([[15]])&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;tab-stops: 155.25pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;print(&quot;Auto
regression is: &quot;, auto_prediction)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 97%; margin-bottom: 10.0pt; margin-left: 0in; margin-right: 57.0pt; margin-top: 8.0pt; tab-stops: 39.4pt 39.5pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 97%;&quot;&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;b style=&quot;mso-bidi-font-weight: normal;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 20.0pt; line-height: 115%;&quot;&gt;Output:&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;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;features YOE:&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp; &lt;/span&gt;[[19]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[ 9]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[ 7]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[25]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[ 3]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[ 0]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[21]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[15]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[12]]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&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;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Label Salary:&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp; &lt;/span&gt;[ 93941.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;
&lt;/span&gt;57190. &lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;54446. 105583.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;43526.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;
&lt;/span&gt;39344.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;98274.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;67939.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;
&lt;/span&gt;56958.]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&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;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;features YOE:&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp; &lt;/span&gt;[[ 2]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[28]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[13]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[10]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[26]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[24]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[27]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[11]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[17]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[22]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[ 5]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[16]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[ 8]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[14]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[23]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[20]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[ 1]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[29]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[ 6]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[ 4]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[18]]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&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;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Label Salary:&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp; &lt;/span&gt;[ 37732. 122392.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;57082.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;
&lt;/span&gt;63219. 116970. 109432. 112636.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;
&lt;/span&gt;55795.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;83089.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;101303.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;
&lt;/span&gt;56643.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;66030.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;64446.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;
&lt;/span&gt;61112. 113813.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;91739.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;46206. 121873.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;
&lt;/span&gt;60151.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;39892.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;81364.]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&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;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;features YOE:&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp; &lt;/span&gt;[[19]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[ 9]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[ 7]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[25]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[ 3]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[ 0]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[21]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[15]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[12]]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&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;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Label Salary:&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp; &lt;/span&gt;[ 93941.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;
&lt;/span&gt;57190.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;54446. 105583.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;43526.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;
&lt;/span&gt;39344.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;98274.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;67939.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;
&lt;/span&gt;56958.]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&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;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;features YOE:&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp; &lt;/span&gt;[[ 2]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[28]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[13]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[10]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[26]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[24]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[27]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[11]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[17]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[22]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[ 5]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[16]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[ 8]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[14]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[23]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[20]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[ 1]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[29]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[ 6]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[ 4]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;[18]]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&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;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Label Salary: &lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&amp;nbsp;&lt;/span&gt;[ 37732. 122392.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;57082.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;
&lt;/span&gt;63219. 116970. 109432. 112636.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;
&lt;/span&gt;55795.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;83089.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;101303.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;
&lt;/span&gt;56643.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;66030.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;64446.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;
&lt;/span&gt;61112. 113813.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;91739.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;46206. 121873.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;
&lt;/span&gt;60151.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;39892.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;81364.]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&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;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/AVvXsEgVa17ZVA61hga6XDi0_P-c-Tl65JUE9zru4FnOVq1TxWRZjzFzhBvWQrLDox1jhjTgVETTRt6YMdkSC6mb-Q_Yq8GERhw4c72Bk4_oJ6wNVu3I6F8gsMLUW5WyogMGEI9LAnzNKezVHMTd4v8GqzzhswAGAiCpZ1aVzvVxx6AXunqT3iiWl6zyvXlJBPM/s934/Screenshot%202025-04-18%20090825.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;687&quot; data-original-width=&quot;934&quot; height=&quot;294&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgVa17ZVA61hga6XDi0_P-c-Tl65JUE9zru4FnOVq1TxWRZjzFzhBvWQrLDox1jhjTgVETTRt6YMdkSC6mb-Q_Yq8GERhw4c72Bk4_oJ6wNVu3I6F8gsMLUW5WyogMGEI9LAnzNKezVHMTd4v8GqzzhswAGAiCpZ1aVzvVxx6AXunqT3iiWl6zyvXlJBPM/w400-h294/Screenshot%202025-04-18%20090825.png&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;&quot;&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/AVvXsEj4rmtA8Dlh2EGFAacompCnT1s0wU_WUPmLb-7J4K4GBTU9GqY3gv8PON7evtjC5IgRRhSRQAo39i27H9XE2I_2R59uoLDo160iABGYC6g_8Mt4dH6i8EoZJgLYMxNPgJuMnARrBhrEemavMWIasdXgMKIkIatnu2Dh6IF5r-JuD_NEwgDj-lv8thDtlWg/s927/Screenshot%202025-04-18%20090850.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;673&quot; data-original-width=&quot;927&quot; height=&quot;290&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj4rmtA8Dlh2EGFAacompCnT1s0wU_WUPmLb-7J4K4GBTU9GqY3gv8PON7evtjC5IgRRhSRQAo39i27H9XE2I_2R59uoLDo160iABGYC6g_8Mt4dH6i8EoZJgLYMxNPgJuMnARrBhrEemavMWIasdXgMKIkIatnu2Dh6IF5r-JuD_NEwgDj-lv8thDtlWg/w400-h290/Screenshot%202025-04-18%20090850.png&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;&quot;&gt;&lt;br /&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&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/AVvXsEgForherBrspHr2xAxT6IhBxxvZfVf3P5A0gOR5AvHVJ1HjojbcGD9OlDMSRERbt_iUXX1YcTKfMqpyBNJ5pwN4C0Q1rUconX-RJqToZxd1OFWB7yGu68Xj_Nqg_BZ_yLnCEtNRi7G2x9k2swA3fjImkvkeRa7ZEb_4t7DAtxMdyeclXP5NvjUQ-_5fJ4s/s919/Screenshot%202025-04-18%20090919.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;678&quot; data-original-width=&quot;919&quot; height=&quot;295&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgForherBrspHr2xAxT6IhBxxvZfVf3P5A0gOR5AvHVJ1HjojbcGD9OlDMSRERbt_iUXX1YcTKfMqpyBNJ5pwN4C0Q1rUconX-RJqToZxd1OFWB7yGu68Xj_Nqg_BZ_yLnCEtNRi7G2x9k2swA3fjImkvkeRa7ZEb_4t7DAtxMdyeclXP5NvjUQ-_5fJ4s/w400-h295/Screenshot%202025-04-18%20090919.png&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;[67632.62779741]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;coefficient is: [2835.78327444]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;intercept is: 33603.2285041225&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;manual prediction by using coeficient and
intercept:&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;506884.21083627746&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;background: white; line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; word-break: break-all;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;inherit&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10.0pt; mso-bidi-font-family: &amp;quot;Courier New&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Auto regression is:&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;[76139.97762073]&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='https://salutionteach.blogspot.com/feeds/7026658072065834776/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='https://salutionteach.blogspot.com/2025/04/simple-linear-regression.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/7026658072065834776'/><link rel='self' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/7026658072065834776'/><link rel='alternate' type='text/html' href='https://salutionteach.blogspot.com/2025/04/simple-linear-regression.html' title='Simple linear regression'/><author><name>salutionteach</name><uri>http://www.blogger.com/profile/15753843071083819831</uri><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/AVvXsEgVa17ZVA61hga6XDi0_P-c-Tl65JUE9zru4FnOVq1TxWRZjzFzhBvWQrLDox1jhjTgVETTRt6YMdkSC6mb-Q_Yq8GERhw4c72Bk4_oJ6wNVu3I6F8gsMLUW5WyogMGEI9LAnzNKezVHMTd4v8GqzzhswAGAiCpZ1aVzvVxx6AXunqT3iiWl6zyvXlJBPM/s72-w400-h294-c/Screenshot%202025-04-18%20090825.png" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-8766011798057583516.post-8509150054505742036</id><published>2025-04-17T09:29:00.000-07:00</published><updated>2025-04-17T09:32:17.388-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Association"/><category scheme="http://www.blogger.com/atom/ns#" term="Clustering"/><title type='text'>Clustering and Association</title><content type='html'>&lt;h2 style=&quot;text-align: left;&quot;&gt;&lt;u&gt; Clustering&lt;/u&gt;&lt;/h2&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Clustering is the process of grouping data points into
clusters based on their similarity. This technique is useful for identifying
patterns and relationships in data without the need for labeled examples.
Cluster analysis finds the commonalities between the data objects and
categorizes them as per the presence and absence of those commonalities.&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 115%;&quot;&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/AVvXsEjBwGxcXRbcSeQMq5oLbY67PLCeu0r_ikEEHD3fsiH42jgTDEVC0AAbV0MP3eMis8dYy0arDhao52pvkCyxwNcJYZHhi0OmBhS5a9sJRlajkTFe4A-IMCv_ZMAR2g8vIS3TCd8FRgL__9cJqVvVt8u4xpB7p5NckL9drxBXL3Q_Z6dNRYaBta0bJ86GQdk/s619/8.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;499&quot; data-original-width=&quot;619&quot; height=&quot;258&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjBwGxcXRbcSeQMq5oLbY67PLCeu0r_ikEEHD3fsiH42jgTDEVC0AAbV0MP3eMis8dYy0arDhao52pvkCyxwNcJYZHhi0OmBhS5a9sJRlajkTFe4A-IMCv_ZMAR2g8vIS3TCd8FRgL__9cJqVvVt8u4xpB7p5NckL9drxBXL3Q_Z6dNRYaBta0bJ86GQdk/s320/8.png&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;p&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;b style=&quot;mso-bidi-font-weight: normal;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Here are some
clustering algorithms:&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.5in; mso-list: l1 level1 lfo2; text-indent: -0.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;·&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;K-Means Clustering algorithm&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.5in; mso-list: l1 level1 lfo2; text-indent: -0.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;·&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Mean-shift algorithm&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.5in; mso-list: l1 level1 lfo2; text-indent: -0.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;·&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;DBSCAN Algorithm&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.5in; mso-list: l1 level1 lfo2; text-indent: -0.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;·&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Principal Component Analysis&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.5in; mso-list: l1 level1 lfo2; text-indent: -0.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;·&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Independent Component Analysis&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.5in; text-indent: 0.5in;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;h2 style=&quot;text-align: left;&quot;&gt;&lt;u&gt;Association:&lt;/u&gt;&lt;/h2&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Association learning is a machine learning method for
discovering interesting relations, called “association rules”, between
variables in large databases using some measures of “interestingness”. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;It determines the set of items that occurs together in the
dataset. Association rule makes marketing strategy more effective. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Such as people who buy X item (suppose a bread) are also tend
to purchase Y (Butter/Jam) item. A typical example of Association rule is
Market Basket 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: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;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: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Consider a supermarket chain. The management of the chain is
interested in knowing whether there are any patterns in the purchases of
products by customers like the following:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;“If a customer buys onions and potatoes together, then he/she
is likely to also buy hamburger.”&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;From the standpoint of customer behaviour, this defines an
association between the set of products {onion, potato} and the set {burger}.
This association is represented in the form of a rule as follows:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p align=&quot;center&quot; class=&quot;MsoNormal&quot; style=&quot;line-height: 115%; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;{ onion, potato} =&amp;gt; burger&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p align=&quot;center&quot; class=&quot;MsoNormal&quot; style=&quot;line-height: 115%; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;The measure of how likely a customer, who has bought onion
and potato, to buy burger also is given by the conditional probability&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p align=&quot;center&quot; class=&quot;MsoNormal&quot; style=&quot;line-height: 115%; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;P ((onion, potato}|(burger}).&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;If this conditional probability is 0.8, then the rule may be
stated more precisely as follows: “80% of customers who buy onion and potato
also buy burger.”&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;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: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;There are several algorithms for generating association
rules. Some of the well-known algorithms are listed below:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 115%; margin-left: 40.35pt; mso-list: l0 level2 lfo1; text-indent: -15.25pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 10pt; line-height: 115%; mso-font-width: 99%;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;a)&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Apriori algorithm&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 115%; margin-left: 40.35pt; mso-list: l0 level2 lfo1; text-indent: -15.25pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 10pt; line-height: 115%; mso-font-width: 99%;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;b)&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Eclat algorithm&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 115%; margin-left: 40.35pt; mso-list: l0 level2 lfo1; text-indent: -15.25pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 10pt; line-height: 115%; mso-font-width: 99%;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;c)&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;FP-Growth Algorithm (FP stands for
Frequency 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: 115%; margin-left: 40.35pt; mso-list: l0 level2 lfo1; text-indent: -15.25pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 115%; margin-left: 40.35pt; mso-list: l0 level2 lfo1; text-indent: -15.25pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='https://salutionteach.blogspot.com/feeds/8509150054505742036/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='https://salutionteach.blogspot.com/2025/04/clustering-and-association.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/8509150054505742036'/><link rel='self' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/8509150054505742036'/><link rel='alternate' type='text/html' href='https://salutionteach.blogspot.com/2025/04/clustering-and-association.html' title='Clustering and Association'/><author><name>salutionteach</name><uri>http://www.blogger.com/profile/15753843071083819831</uri><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/AVvXsEjBwGxcXRbcSeQMq5oLbY67PLCeu0r_ikEEHD3fsiH42jgTDEVC0AAbV0MP3eMis8dYy0arDhao52pvkCyxwNcJYZHhi0OmBhS5a9sJRlajkTFe4A-IMCv_ZMAR2g8vIS3TCd8FRgL__9cJqVvVt8u4xpB7p5NckL9drxBXL3Q_Z6dNRYaBta0bJ86GQdk/s72-c/8.png" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-8766011798057583516.post-3940122443074171048</id><published>2025-04-17T04:24:00.000-07:00</published><updated>2025-04-17T09:22:41.186-07:00</updated><title type='text'>Classification and Regression</title><content type='html'>&lt;h2 style=&quot;text-align: left;&quot;&gt;&lt;u&gt;Classification&lt;/u&gt;&lt;/h2&gt;&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 0in; margin-right: 57.0pt; margin-top: .1in; margin: 0.1in 0in 0in 57pt; text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;In machine learning, classification
is the problem of identifying to which of a set of categories a new&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;observation&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;belongs,&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;on&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;basis&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;a&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;training&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt;
&lt;/span&gt;set&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;data&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;containing&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;observations&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;(or&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;instances) whose
category membership is known.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;h4 style=&quot;line-height: 115%; margin-left: 0in; tab-stops: 25.1pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;Example&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/h4&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-top: 7.15pt; text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Consider&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;following&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;data:&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-top: 0.45pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;table border=&quot;1&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;MsoNormalTable&quot; style=&quot;border-collapse: collapse; border: none; margin-left: 63.6pt; mso-border-alt: solid black .5pt; mso-border-insideh: .5pt solid black; mso-border-insidev: .5pt solid black; mso-padding-alt: 0in 0in 0in 0in; mso-table-layout-alt: fixed; mso-yfti-tbllook: 480;&quot;&gt;
 &lt;tbody&gt;&lt;tr style=&quot;height: 11.85pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;&quot;&gt;
  &lt;td style=&quot;border-left: none; border: 1pt solid black; height: 11.85pt; mso-border-bottom-alt: solid black .5pt; mso-border-right-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in; width: 39.8pt;&quot; valign=&quot;top&quot; width=&quot;80&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 2.05pt; margin-right: 2.0pt; margin-top: 0in; margin: 0in 2pt 0in 2.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;Score1&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: 1pt solid black; border-left: none; border-right: none; border-top: 1pt solid black; height: 11.85pt; mso-border-bottom-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in; width: 29.15pt;&quot; valign=&quot;top&quot; width=&quot;58&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.55pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;29&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: 1pt solid black; border-left: none; border-right: none; border-top: 1pt solid black; height: 11.85pt; mso-border-bottom-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in; width: 27.85pt;&quot; valign=&quot;top&quot; width=&quot;56&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 1.0pt; margin-right: .4pt; margin-top: 0in; margin: 0in 0.4pt 0in 1pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;22&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: 1pt solid black; border-left: none; border-right: none; border-top: 1pt solid black; height: 11.85pt; mso-border-bottom-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in; width: 27.85pt;&quot; valign=&quot;top&quot; width=&quot;56&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: .6pt; margin-right: 1.0pt; margin-top: 0in; margin: 0in 0.6pt 0in 1pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;10&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: 1pt solid black; border-left: none; border-right: none; border-top: 1pt solid black; height: 11.85pt; mso-border-bottom-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in; width: 28.4pt;&quot; valign=&quot;top&quot; width=&quot;57&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: .15pt; margin-right: .05pt; margin-top: 0in; margin: 0in 0.05pt 0in 0.15pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;31&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: 1pt solid black; border-left: none; border-right: none; border-top: 1pt solid black; height: 11.85pt; mso-border-bottom-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in; width: 28.4pt;&quot; valign=&quot;top&quot; width=&quot;57&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.15pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;17&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: 1pt solid black; border-left: none; border-right: none; border-top: 1pt solid black; height: 11.85pt; mso-border-bottom-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in; width: 28.95pt;&quot; valign=&quot;top&quot; width=&quot;58&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-right: 0.25pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;33&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: 1pt solid black; border-left: none; border-right: none; border-top: 1pt solid black; height: 11.85pt; mso-border-bottom-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in; width: 29.5pt;&quot; valign=&quot;top&quot; width=&quot;59&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: .25pt; margin-right: .05pt; margin-top: 0in; margin: 0in 0.05pt 0in 0.25pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;32&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: 1pt solid black; border-left: none; border-right: none; border-top: 1pt solid black; height: 11.85pt; mso-border-bottom-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in; width: 29.5pt;&quot; valign=&quot;top&quot; width=&quot;59&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.25pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;20&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 11.85pt; mso-yfti-irow: 1;&quot;&gt;
  &lt;td style=&quot;border-bottom: 1pt solid black; border-left: none; border-right: 1pt solid black; border-top: none; height: 11.85pt; mso-border-bottom-alt: solid black .5pt; mso-border-right-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in; width: 39.8pt;&quot; valign=&quot;top&quot; width=&quot;80&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 2.05pt; margin-right: 2.0pt; margin-top: 0in; margin: 0in 2pt 0in 2.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;Score2&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border: none; height: 11.85pt; mso-border-bottom-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in; width: 29.15pt;&quot; valign=&quot;top&quot; width=&quot;58&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.55pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;43&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border: none; height: 11.85pt; mso-border-bottom-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in; width: 27.85pt;&quot; valign=&quot;top&quot; width=&quot;56&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 1.0pt; margin-right: .4pt; margin-top: 0in; margin: 0in 0.4pt 0in 1pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;29&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border: none; height: 11.85pt; mso-border-bottom-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in; width: 27.85pt;&quot; valign=&quot;top&quot; width=&quot;56&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: .6pt; margin-right: 1.0pt; margin-top: 0in; margin: 0in 0.6pt 0in 1pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;47&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border: none; height: 11.85pt; mso-border-bottom-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in; width: 28.4pt;&quot; valign=&quot;top&quot; width=&quot;57&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: .15pt; margin-right: .05pt; margin-top: 0in; margin: 0in 0.05pt 0in 0.15pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;55&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border: none; height: 11.85pt; mso-border-bottom-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in; width: 28.4pt;&quot; valign=&quot;top&quot; width=&quot;57&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.15pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;18&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border: none; height: 11.85pt; mso-border-bottom-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in; width: 28.95pt;&quot; valign=&quot;top&quot; width=&quot;58&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-right: 0.25pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;54&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border: none; height: 11.85pt; mso-border-bottom-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in; width: 29.5pt;&quot; valign=&quot;top&quot; width=&quot;59&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: .25pt; margin-right: .05pt; margin-top: 0in; margin: 0in 0.05pt 0in 0.25pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;40&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border: none; height: 11.85pt; mso-border-bottom-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in; width: 29.5pt;&quot; valign=&quot;top&quot; width=&quot;59&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.25pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;41&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 11.85pt; mso-yfti-irow: 2; mso-yfti-lastrow: yes;&quot;&gt;
  &lt;td style=&quot;border-bottom: 1pt solid black; border-left: none; border-right: 1pt solid black; border-top: none; height: 11.85pt; mso-border-bottom-alt: solid black .5pt; mso-border-right-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in; width: 39.8pt;&quot; valign=&quot;top&quot; width=&quot;80&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: .05pt; margin-right: 2.05pt; margin-top: 0in; margin: 0in 0.05pt 0in 2.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;Result&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td colspan=&quot;8&quot; style=&quot;border-bottom: solid black 1.0pt; border: none; height: 11.85pt; mso-border-bottom-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in; width: 229.6pt;&quot; valign=&quot;top&quot; width=&quot;459&quot;&gt;
  &lt;p align=&quot;left&quot; class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 5.9pt; tab-stops: 35.45pt 62.75pt 90.05pt 119.55pt 146.9pt 2.45in 205.9pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;Pass&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;span style=&quot;mso-tab-count: 1;&quot;&gt;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt;Fail&lt;/span&gt;&lt;span style=&quot;mso-tab-count: 1;&quot;&gt;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt;Fail&lt;/span&gt;&lt;span style=&quot;mso-tab-count: 1;&quot;&gt;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt;Pass&lt;/span&gt;&lt;span style=&quot;mso-tab-count: 1;&quot;&gt;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt;Fail&lt;/span&gt;&lt;span style=&quot;mso-tab-count: 1;&quot;&gt;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt;Pass&lt;/span&gt;&lt;span style=&quot;mso-tab-count: 1;&quot;&gt;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt;Pass&lt;/span&gt;&lt;span style=&quot;mso-tab-count: 1;&quot;&gt;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt;Pass&lt;/span&gt;&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;MsoBodyText&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 93.8pt; margin-right: 0in; margin-top: 8.9pt; margin: 8.9pt 0in 0in 93.8pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Table&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;1.1:&lt;span style=&quot;letter-spacing: 0.05pt;&quot;&gt; &lt;/span&gt;Example&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;data&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;for&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;a&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;classification&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;problem&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-top: 0.8pt; tab-stops: 1.0in;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;span style=&quot;mso-tab-count: 1;&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;&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;MsoBodyText&quot; style=&quot;line-height: 115%; margin-left: 57pt; text-align: justify; text-indent: 14.9pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Data&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;in&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;Table&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;1.1&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;is&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;training&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;set&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;data. There&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;are&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;two&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;attributes&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;“Score1”&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;and&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;“Score2”. The class label is called
“Result”.&lt;span style=&quot;letter-spacing: 1.65pt;&quot;&gt; &lt;/span&gt;The class label has two
possible values “Pass” and “Fail”.&lt;span style=&quot;letter-spacing: 1.65pt;&quot;&gt; &lt;/span&gt;The
data can&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;be&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;divided&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;into&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;two&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;categories&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;or&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;classes:
The&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;set&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;data&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;for&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;which&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;class&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;label&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;is&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;“Pass”&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;and
the set of data for which the class label is “Fail”.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-left: 57pt; text-align: justify; text-indent: 14.9pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Let us
assume that we have no knowledge about the data other than what is given in the
table. Now, the problem can be posed as follows:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-left: 57pt; text-align: justify; text-indent: 14.9pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: 2pt; line-height: 115%;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;If we have some new data, say “Score1
= 25” and “Score2 = 36”, what value should be assigned to “Result”
corresponding to the new data; in other words,&lt;span style=&quot;letter-spacing: -0.6pt;&quot;&gt;
&lt;/span&gt;to&lt;span style=&quot;letter-spacing: -0.6pt;&quot;&gt; &lt;/span&gt;which&lt;span style=&quot;letter-spacing: -0.6pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.6pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.6pt;&quot;&gt; &lt;/span&gt;two&lt;span style=&quot;letter-spacing: -0.6pt;&quot;&gt; &lt;/span&gt;categories&lt;span style=&quot;letter-spacing: -0.65pt;&quot;&gt; &lt;/span&gt;or&lt;span style=&quot;letter-spacing: -0.6pt;&quot;&gt; &lt;/span&gt;classes&lt;span style=&quot;letter-spacing: -0.6pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.6pt;&quot;&gt; &lt;/span&gt;new&lt;span style=&quot;letter-spacing: -0.6pt;&quot;&gt; &lt;/span&gt;observation&lt;span style=&quot;letter-spacing: -0.6pt;&quot;&gt; &lt;/span&gt;should&lt;span style=&quot;letter-spacing: -0.6pt;&quot;&gt; &lt;/span&gt;be&lt;span style=&quot;letter-spacing: -0.65pt;&quot;&gt; &lt;/span&gt;assigned?&lt;span style=&quot;letter-spacing: 0.1pt;&quot;&gt; &lt;/span&gt;See&lt;span style=&quot;letter-spacing: -0.6pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;Figure&lt;/span&gt; 1.1: &lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;for&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;a&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;graphical&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;representation&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;problem.&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-top: 1.15pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&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/AVvXsEhujddW6vifqVkRk3C5zl3cvLy6Kw-Aa6jQ7kRbdB9mGnRSwWPpHNZUhBiSXoolCdm39VhjQrmOIWKTL4WYW2oXBfq-1-P5dnjqvzqqRhL1cMvKmPl4tECvrCe6_YINW48wI3JXSszJ7eLzfPZoaNgwHgP_whYVC-g1Y2CfaRuQZgrbfUTia0q_4RJ8wCI/s333/Screenshot%202025-04-17%20042308.png&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; data-original-height=&quot;274&quot; data-original-width=&quot;333&quot; height=&quot;263&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhujddW6vifqVkRk3C5zl3cvLy6Kw-Aa6jQ7kRbdB9mGnRSwWPpHNZUhBiSXoolCdm39VhjQrmOIWKTL4WYW2oXBfq-1-P5dnjqvzqqRhL1cMvKmPl4tECvrCe6_YINW48wI3JXSszJ7eLzfPZoaNgwHgP_whYVC-g1Y2CfaRuQZgrbfUTia0q_4RJ8wCI/s320/Screenshot%202025-04-17%20042308.png&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;

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&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 0in; margin-right: 57.0pt; margin-top: 10.25pt; margin: 10.25pt 0in 0in 57pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Figure 1.1: Graphical representation
of data in Table 1.1.&lt;span style=&quot;letter-spacing: 1.35pt;&quot;&gt; &lt;/span&gt;Solid dots
represent data in “Pass” class and hollow dots data in “Fail” class. The class
label of the square dot is to be determined.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-top: 0.3pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 0in; margin-right: 57.0pt; margin-top: .05pt; margin: 0.05pt 0in 0in 57pt; text-align: justify; text-indent: 14.9pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;To answer
this question, using the given data alone we need to find the rule, or the
formula, or the method that has been used in assigning the values to the class
label “Result”.&lt;span style=&quot;letter-spacing: 1.95pt;&quot;&gt; &lt;/span&gt;The problem of
finding&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;this&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;rule&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;or&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;formula&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt;
&lt;/span&gt;or&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;method&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;is&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;classification&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;problem. In&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;general,&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;even&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;general
form&lt;span style=&quot;letter-spacing: -0.05pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.05pt;&quot;&gt; &lt;/span&gt;rule&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;or&lt;span style=&quot;letter-spacing: -0.05pt;&quot;&gt; &lt;/span&gt;function&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;or&lt;span style=&quot;letter-spacing: -0.05pt;&quot;&gt; &lt;/span&gt;method&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;will&lt;span style=&quot;letter-spacing: -0.05pt;&quot;&gt; &lt;/span&gt;not&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;be&lt;span style=&quot;letter-spacing: -0.05pt;&quot;&gt; &lt;/span&gt;known.&lt;span style=&quot;letter-spacing: 0.8pt;&quot;&gt; &lt;/span&gt;So&lt;span style=&quot;letter-spacing: -0.05pt;&quot;&gt; &lt;/span&gt;several&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;different&lt;span style=&quot;letter-spacing: -0.05pt;&quot;&gt;
&lt;/span&gt;rules,&lt;span style=&quot;letter-spacing: -0.05pt;&quot;&gt; &lt;/span&gt;etc.&lt;span style=&quot;letter-spacing: 0.8pt;&quot;&gt; &lt;/span&gt;may&lt;span style=&quot;letter-spacing: -0.05pt;&quot;&gt; &lt;/span&gt;have
to be tested to obtain the correct rule or function or method.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-top: 4.3pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;h4 style=&quot;line-height: 115%; margin-left: 0in;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;Examples&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/h4&gt;

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&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Consider the
data given in Table 1.1 and the associated classification problem.&lt;span style=&quot;letter-spacing: 2pt;&quot;&gt; &lt;/span&gt;We may consider the following rules for
the classification of the new data:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;p&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-top: 0.2pt; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt;&quot;&gt;IF&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.55pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt;&quot;&gt;Score1&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;&lt;span face=&quot;SimSun-ExtB&quot; style=&quot;font-size: 12pt; letter-spacing: -0.1pt;&quot;&gt;+&lt;/span&gt;&lt;span face=&quot;SimSun-ExtB&quot; style=&quot;font-size: 12pt; letter-spacing: -2.55pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt;&quot;&gt;Score2&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;&lt;span face=&quot;SimSun-ExtB&quot; style=&quot;font-size: 12pt; letter-spacing: -0.1pt;&quot;&gt;≥&lt;/span&gt;&lt;span face=&quot;SimSun-ExtB&quot; style=&quot;font-size: 12pt; letter-spacing: -2.6pt;&quot;&gt; &lt;/span&gt;&lt;span face=&quot;Calibri, &amp;quot;sans-serif&amp;quot;&quot; style=&quot;font-size: 12pt; letter-spacing: -0.1pt;&quot;&gt;60&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt;&quot;&gt;,&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt;&quot;&gt;THEN&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt;&quot;&gt;“Pass”&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt;&quot;&gt;ELSE&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt;&quot;&gt;“Fail”.&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoBodyText&quot; style=&quot;margin-top: 5.25pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 0in; margin-right: 11.1pt; margin-top: .05pt; margin: 0.05pt 0in 0in 11.1pt; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.3pt; line-height: 115%;&quot;&gt;IF&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.15pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.3pt; line-height: 115%;&quot;&gt;Score1&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.3pt; line-height: 115%;&quot;&gt;≥&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -2.6pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.3pt; line-height: 115%;&quot;&gt;20&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: 0.2pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.3pt; line-height: 115%;&quot;&gt;AND&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.3pt; line-height: 115%;&quot;&gt;Score2&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.05pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.3pt; line-height: 115%;&quot;&gt;≥&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -2.6pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.3pt; line-height: 115%;&quot;&gt;40&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: 0.15pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.3pt; line-height: 115%;&quot;&gt;THEN&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.05pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.3pt; line-height: 115%;&quot;&gt;“Pass”&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.3pt; line-height: 115%;&quot;&gt;ELSE&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.05pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.3pt; line-height: 115%;&quot;&gt;“Fail”.&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-top: 0.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 31.3pt; margin-right: 57.0pt; margin-top: 0in; margin: 0in 57pt 0in 31.3pt; text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Or,&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;we&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;may&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;consider&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;
&lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;following&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;rules&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;with&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;unspecified&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;values&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;for&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;M,&lt;span style=&quot;letter-spacing: -0.6pt;&quot;&gt; &lt;/span&gt;m&lt;sub&gt;1&lt;/sub&gt;,&lt;span style=&quot;letter-spacing: -0.55pt;&quot;&gt; &lt;/span&gt;m&lt;sub&gt;2&lt;/sub&gt; and&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;then&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;by some method
estimate their values.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

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&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-top: 0.65pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p align=&quot;center&quot; class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-left: 11.1pt; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: medium; letter-spacing: normal; position: absolute; text-align: start; z-index: 251664379;&quot;&gt;&lt;/span&gt;&lt;span style=&quot;font-size: medium; letter-spacing: normal; text-align: start;&quot;&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;table cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; style=&quot;text-align: center; width: 100%;&quot;&gt;&lt;tbody&gt;&lt;tr&gt;&lt;td&gt;&lt;div class=&quot;shape&quot; style=&quot;padding: 0pt;&quot; v:shape=&quot;Textbox_x0020_75&quot;&gt;&lt;p class=&quot;MsoBodyText&quot; style=&quot;margin-top: 5.25pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt;&quot;&gt;IF&lt;span style=&quot;letter-spacing: -0.65pt;&quot;&gt;&lt;span&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;Score1&lt;span style=&quot;letter-spacing: -0.6pt;&quot;&gt;&lt;span&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span face=&quot;SimSun-ExtB&quot; style=&quot;font-size: 12pt;&quot;&gt;+&lt;span style=&quot;letter-spacing: -2.55pt;&quot;&gt;&lt;span&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: 12pt;&quot;&gt;Score2&lt;span style=&quot;letter-spacing: -0.65pt;&quot;&gt;&lt;span&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span face=&quot;SimSun-ExtB&quot; style=&quot;font-size: 12pt;&quot;&gt;≥&lt;span style=&quot;letter-spacing: -2.35pt;&quot;&gt;&lt;span&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;i&gt;&lt;span face=&quot;Calibri, &amp;quot;sans-serif&amp;quot;&quot; style=&quot;font-size: 12pt;&quot;&gt;M&lt;span style=&quot;letter-spacing: -1.2pt;&quot;&gt;,&lt;/span&gt;&lt;/span&gt;&lt;/i&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.6pt;&quot;&gt;&lt;span&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: 12pt;&quot;&gt;THEN&lt;span style=&quot;letter-spacing: -0.6pt;&quot;&gt;&lt;span&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;“Pass”&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt;&lt;span&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;ELSE&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt;&lt;span&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;“Fail”.&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt;&lt;p align=&quot;center&quot; class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-left: 11.1pt; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/p&gt;&lt;p align=&quot;center&quot; class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-left: 11.1pt; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;IF&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.55pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;Score1&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.5pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;≥&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -2.6pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;m&lt;sub&gt;1&lt;/sub&gt;&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.55pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;AND&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.5pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;Score2&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.55pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;≥&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -2.6pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;m&lt;sub&gt;2&lt;/sub&gt;&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.35pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;THEN&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.5pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;“Pass”&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.5pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;ELSE&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.5pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;“Fail”.&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-top: 0.7pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;h4 style=&quot;line-height: 115%; margin-left: 0in; tab-stops: 25.1pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;Algorithms&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/h4&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 0in; margin-right: 57.0pt; margin-top: .1in; margin: 0.1in 0in 0in 57pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;There are several machine learning
algorithms for classification.&lt;span style=&quot;letter-spacing: 2pt;&quot;&gt; &lt;/span&gt;The
following are some of the&lt;span style=&quot;letter-spacing: 4pt;&quot;&gt; &lt;/span&gt;well-known
algorithms.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 25.7pt; margin-right: 0in; margin-top: 7.95pt; margin: 7.95pt 0in 0in 25.7pt; mso-list: l0 level1 lfo2; tab-stops: 40.3pt; text-indent: -15.15pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 10pt; line-height: 115%; mso-font-width: 99%;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;a)&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Logistic&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;regression&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 25.65pt; margin-right: 0in; margin-top: 8.4pt; margin: 8.4pt 0in 0in 25.65pt; mso-list: l0 level1 lfo2; tab-stops: 40.25pt; text-indent: -15.7pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 10pt; line-height: 115%; mso-font-width: 99%;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;b)&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Naive&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;Bayes&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;algorithm&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 25.7pt; margin-right: 0in; margin-top: 8.25pt; margin: 8.25pt 0in 0in 25.7pt; mso-list: l0 level1 lfo2; tab-stops: 40.3pt; text-indent: -15.15pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 10pt; line-height: 115%; mso-font-width: 99%;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;c)&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;k-NN&lt;span style=&quot;letter-spacing: 0.65pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;algorithm&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 25.65pt; margin-right: 0in; margin-top: 7.9pt; margin: 7.9pt 0in 0in 25.65pt; mso-list: l0 level1 lfo2; tab-stops: 40.25pt; text-indent: -15.7pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 10pt; line-height: 115%; mso-font-width: 99%;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;d)&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Decision&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;tree&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;algorithm&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 25.7pt; margin-right: 0in; margin-top: 8.45pt; margin: 8.45pt 0in 0in 25.7pt; mso-list: l0 level1 lfo2; tab-stops: 40.3pt; text-indent: -15.15pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 10pt; line-height: 115%; mso-font-width: 99%;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;e)&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Support&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;vector&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt;
&lt;/span&gt;machine&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;algorithm&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 25.7pt; margin-right: 0in; margin-top: 8.4pt; margin: 8.4pt 0in 0in 25.7pt; mso-list: l0 level1 lfo2; tab-stops: 40.3pt; text-indent: -14.05pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 10pt; line-height: 115%; mso-font-width: 99%;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;f)&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Random&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;forest&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt;
&lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;algorithm&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-top: 4.3pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;h4 style=&quot;line-height: 115%; margin-left: 0in;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;Remarks&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/h4&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 24.85pt; margin-right: 0in; margin-top: .1in; margin: 0.1in 0in 0in 24.85pt; mso-list: l0 level2 lfo2; tab-stops: 39.45pt; text-indent: -8.4pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 10pt; line-height: 115%; mso-font-width: 99%;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;A&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;classification&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;problem&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;requires&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;that&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;examples&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;be&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;classified&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;into&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;one&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;two&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;or&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;more&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;classes.&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 24.85pt; margin-right: 0in; margin-top: 8.05pt; margin: 8.05pt 0in 0in 24.85pt; mso-list: l0 level2 lfo2; tab-stops: 39.45pt; text-indent: -8.4pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 10pt; line-height: 115%; mso-font-width: 99%;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;A&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;classification&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;can&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;have&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;real-valued&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;or&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;discrete&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;input&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt;
&lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;variables.&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 24.85pt; margin-right: 0in; margin-top: 8.1pt; margin: 8.1pt 0in 0in 24.85pt; mso-list: l0 level2 lfo2; tab-stops: 39.45pt; text-indent: -8.4pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 10pt; line-height: 115%; mso-font-width: 99%;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;A&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;problem&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt;
&lt;/span&gt;with&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;two&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;classes&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt;
&lt;/span&gt;is&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;often&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;called&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt;
&lt;/span&gt;a&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;two-class&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;or&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;binary&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;classification&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;problem.&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 24.85pt; margin-right: 0in; margin-top: 8.05pt; margin: 8.05pt 0in 0in 24.85pt; mso-list: l0 level2 lfo2; tab-stops: 39.45pt; text-indent: -8.4pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 10pt; line-height: 115%; mso-font-width: 99%;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;A&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;problem&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt;
&lt;/span&gt;with&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;more&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;than&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;two&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;classes&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt;
&lt;/span&gt;is&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;often&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;called&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt;
&lt;/span&gt;a&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;multi-class&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;classification&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;problem.&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 24.9pt; margin-right: 57.0pt; margin-top: 8.1pt; margin: 8.1pt 57pt 0in 24.9pt; mso-list: l0 level2 lfo2; tab-stops: 39.4pt 39.5pt; text-indent: -8.5pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 10pt; line-height: 115%; mso-font-width: 99%;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;A&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;problem&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt;
&lt;/span&gt;where&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;an&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;example&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt;
&lt;/span&gt;is&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;assigned&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;multiple&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt;
&lt;/span&gt;classes&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;is&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;called&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;a&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;multi-label&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt; &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: 115%; margin-bottom: 0in; margin-left: 16.4pt; margin-right: 57.0pt; margin-top: 8.1pt; margin: 8.1pt 57pt 0in 16.4pt; tab-stops: 39.4pt 39.5pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;classification &lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;problem.&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-top: 3pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;h2 style=&quot;text-align: left;&quot;&gt;&lt;u&gt;Regression&lt;/u&gt;&lt;/h2&gt;&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 0in; margin-right: 57.0pt; margin-top: .1in; margin: 0.1in 0in 0in 57pt; text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;In&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt;
&lt;/span&gt;machine&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;learning,&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;a&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;regression&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;problem&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt;
&lt;/span&gt;is&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;problem&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;predicting&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;value&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;a&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;numeric&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt;
&lt;/span&gt;variable based on observed values of the variable.&lt;span style=&quot;letter-spacing: 1.75pt;&quot;&gt; &lt;/span&gt;The value of the output variable may be a
number, such as an integer or a floating point value.&lt;span style=&quot;letter-spacing: 1.5pt;&quot;&gt; &lt;/span&gt;These are often quantities, such as amounts and sizes. The input
variables may be discrete or real-valued.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-top: 2.9pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;h4 style=&quot;line-height: 115%; margin-left: 0in; tab-stops: 25.1pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;Example&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/h4&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-top: 7.15pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Consider&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;data&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;on&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;car&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;prices&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt;
&lt;/span&gt;given&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;in&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;Table&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt;
&lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt;1.2.&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-top: 0.3pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;table border=&quot;0&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;MsoNormalTable&quot; style=&quot;border-collapse: collapse; margin-left: 113.05pt; mso-padding-alt: 0in 0in 0in 0in; mso-yfti-tbllook: 480;&quot;&gt;
 &lt;tbody&gt;&lt;tr style=&quot;height: 11.05pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;&quot;&gt;
  &lt;td style=&quot;border-top: solid black 1.0pt; border: none; height: 11.05pt; mso-border-top-alt: solid black .5pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 4.85pt; margin-right: 4.85pt; margin-top: 0in; margin: 0in 4.85pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;Price&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-top: solid black 1.0pt; border: none; height: 11.05pt; mso-border-top-alt: solid black .5pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;Age&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-top: solid black 1.0pt; border: none; height: 11.05pt; mso-border-top-alt: solid black .5pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;Distance&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-top: solid black 1.0pt; border: none; height: 11.05pt; mso-border-top-alt: solid black .5pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;Weight&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 12.05pt; mso-yfti-irow: 1;&quot;&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border: none; height: 12.05pt; mso-border-bottom-alt: solid black .5pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 4.85pt; margin-right: 4.85pt; margin-top: 0in; margin: 0in 4.85pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;(US$)&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border: none; height: 12.05pt; mso-border-bottom-alt: solid black .5pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;(years)&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border: none; height: 12.05pt; mso-border-bottom-alt: solid black .5pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;(KM)&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border: none; height: 12.05pt; mso-border-bottom-alt: solid black .5pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;(pounds)&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 11.7pt; mso-yfti-irow: 2;&quot;&gt;
  &lt;td style=&quot;border: none; height: 11.7pt; mso-border-top-alt: solid black .5pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 4.85pt; margin-right: 4.85pt; margin-top: 0in; margin: 0in 4.85pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;13500&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: none; height: 11.7pt; mso-border-top-alt: solid black .5pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;23&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: none; height: 11.7pt; mso-border-top-alt: solid black .5pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;46986&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: none; height: 11.7pt; mso-border-top-alt: solid black .5pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;1165&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 11.95pt; mso-yfti-irow: 3;&quot;&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 4.85pt; margin-right: 4.85pt; margin-top: 0in; margin: 0in 4.85pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;13750&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;23&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;72937&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;1165&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 11.95pt; mso-yfti-irow: 4;&quot;&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 4.85pt; margin-right: 4.85pt; margin-top: 0in; margin: 0in 4.85pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;13950&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;24&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;41711&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;1165&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 11.95pt; mso-yfti-irow: 5;&quot;&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 4.85pt; margin-right: 4.85pt; margin-top: 0in; margin: 0in 4.85pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;14950&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;26&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;48000&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;1165&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 11.95pt; mso-yfti-irow: 6;&quot;&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 4.85pt; margin-right: 4.85pt; margin-top: 0in; margin: 0in 4.85pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;13750&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;30&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;38500&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;1170&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 11.95pt; mso-yfti-irow: 7;&quot;&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 4.85pt; margin-right: 4.85pt; margin-top: 0in; margin: 0in 4.85pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;12950&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;32&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;61000&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;1170&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 11.95pt; mso-yfti-irow: 8;&quot;&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 4.85pt; margin-right: 4.85pt; margin-top: 0in; margin: 0in 4.85pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;16900&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;27&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;94612&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;1245&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 11.95pt; mso-yfti-irow: 9;&quot;&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 4.85pt; margin-right: 4.85pt; margin-top: 0in; margin: 0in 4.85pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;18600&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;30&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;75889&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;1245&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 11.95pt; mso-yfti-irow: 10;&quot;&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 4.85pt; margin-right: 4.85pt; margin-top: 0in; margin: 0in 4.85pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;21500&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;27&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;19700&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;height: 11.95pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;1185&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 12.7pt; mso-yfti-irow: 11; mso-yfti-lastrow: yes;&quot;&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border: none; height: 12.7pt; mso-border-bottom-alt: solid black .5pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 4.85pt; margin-right: 4.85pt; margin-top: 0in; margin: 0in 4.85pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;12950&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border: none; height: 12.7pt; mso-border-bottom-alt: solid black .5pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.25pt; line-height: 115%;&quot;&gt;23&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border: none; height: 12.7pt; mso-border-bottom-alt: solid black .5pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;71138&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border: none; height: 12.7pt; mso-border-bottom-alt: solid black .5pt; padding: 0in;&quot; valign=&quot;top&quot;&gt;
  &lt;p class=&quot;TableParagraph&quot; style=&quot;line-height: 115%; margin-left: 0.05pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;1105&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&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;MsoBodyText&quot; style=&quot;line-height: 115%; margin-top: 7.3pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p align=&quot;center&quot; class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-left: 42.35pt; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Table&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;1.2:&lt;span style=&quot;letter-spacing: 0.2pt;&quot;&gt; &lt;/span&gt;Prices&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;used&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;cars:&lt;span style=&quot;letter-spacing: 0.2pt;&quot;&gt; &lt;/span&gt;example&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;data&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;for&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;regression&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-top: 2pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-left: 57pt; text-align: justify; text-indent: 14.9pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Suppose
we are required to estimate the price of a car aged 25 years with distance
53240 KM and&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;weight&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;1200&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;pounds.
This&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;is&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;an&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;example&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;a&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;regression&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;problem&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;because&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;we&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;have&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;to&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;predict&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;the value of the numeric variable
“Price”.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-top: 2.9pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;h4 style=&quot;line-height: 115%; margin-left: 0in; tab-stops: 25.1pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;General&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;approach&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/h4&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 0in; margin-right: 57.0pt; margin-top: .1in; margin: 0.1in 0in 0in 57pt; text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Let x denote the set of input
variables and y the output variable.&lt;span style=&quot;letter-spacing: 1.95pt;&quot;&gt; &lt;/span&gt;In
machine learning, the general approach to regression is to assume a model, that
is, some mathematical relation between x and y, involving some parameters say,
θ, in the following form:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p align=&quot;center&quot; class=&quot;MsoNormal&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 0in; margin-right: 42.35pt; margin-top: 8.35pt; margin: 8.35pt 0in 0in 42.35pt; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%; mso-font-width: 105%;&quot;&gt;y&lt;span style=&quot;letter-spacing: 0.95pt;&quot;&gt; &lt;/span&gt;=&lt;span style=&quot;letter-spacing: -2.35pt;&quot;&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%; mso-font-width: 130%;&quot;&gt;f&lt;span style=&quot;letter-spacing: -1.65pt;&quot;&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%; mso-font-width: 105%;&quot;&gt;(x,&lt;span style=&quot;letter-spacing: -0.65pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt;θ)&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 0in; margin-right: 57.0pt; margin-top: 8.9pt; margin: 8.9pt 0in 0in 57pt; text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;The function &lt;span style=&quot;mso-font-width: 105%;&quot;&gt;y&lt;span style=&quot;letter-spacing: 0.95pt;&quot;&gt; &lt;/span&gt;=&lt;span style=&quot;letter-spacing: -2.35pt;&quot;&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;mso-font-width: 130%;&quot;&gt;f&lt;span style=&quot;letter-spacing: -1.65pt;&quot;&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;mso-font-width: 105%;&quot;&gt;(x,&lt;span style=&quot;letter-spacing: -0.65pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt;θ) &lt;/span&gt;&lt;/span&gt;is
called the regression function.&lt;span style=&quot;letter-spacing: 2pt;&quot;&gt; &lt;/span&gt;The
machine learning algorithm optimizes the&lt;span style=&quot;letter-spacing: 0.7pt;&quot;&gt; &lt;/span&gt;parameters&lt;span style=&quot;letter-spacing: 0.7pt;&quot;&gt; &lt;/span&gt;in&lt;span style=&quot;letter-spacing: 0.7pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: 0.7pt;&quot;&gt; &lt;/span&gt;set&lt;span style=&quot;letter-spacing: 0.7pt;&quot;&gt; &lt;/span&gt;θ&lt;span style=&quot;letter-spacing: 1.2pt;&quot;&gt; &lt;/span&gt;such&lt;span style=&quot;letter-spacing: 0.7pt;&quot;&gt; &lt;/span&gt;that&lt;span style=&quot;letter-spacing: 0.7pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: 0.7pt;&quot;&gt; &lt;/span&gt;approximation&lt;span style=&quot;letter-spacing: 0.7pt;&quot;&gt; &lt;/span&gt;error&lt;span style=&quot;letter-spacing: 0.7pt;&quot;&gt; &lt;/span&gt;is&lt;span style=&quot;letter-spacing: 0.7pt;&quot;&gt; &lt;/span&gt;minimized;&lt;span style=&quot;letter-spacing: 1.15pt;&quot;&gt;
&lt;/span&gt;that&lt;span style=&quot;letter-spacing: 0.7pt;&quot;&gt; &lt;/span&gt;is,&lt;span style=&quot;letter-spacing: 0.9pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: 0.7pt;&quot;&gt; &lt;/span&gt;estimates of the
values of the dependent variable y are as close as possible to the correct
values given in the training set.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-top: 4.3pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;h4 style=&quot;line-height: 115%; margin-left: 0in;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;Example&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/h4&gt;

&lt;h4 style=&quot;line-height: 115%; margin-left: 0in;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/h4&gt;

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&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;For&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.3pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;example,&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;if&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.35pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;the&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.3pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;input&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.3pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;variables&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.3pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;are&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.3pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;“Age”,&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;“Distance”&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.35pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;and&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.3pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;“Weight”&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.3pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;and&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.3pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;the&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.3pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;output&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.3pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;variable &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;is “Price”, the model may be&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;p&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 0in; margin-right: 17.45pt; margin-top: 2.25pt; margin: 2.25pt 0in 0in 17.45pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;span style=&quot;left: 0pt; position: absolute; z-index: 251668475;&quot;&gt;&lt;table cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; style=&quot;text-align: center; width: 100%;&quot;&gt;&lt;tbody&gt;&lt;tr&gt;&lt;td&gt;&lt;div class=&quot;shape&quot; style=&quot;padding: 0pt;&quot; v:shape=&quot;Textbox_x0020_79&quot;&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-top: 5.25pt; text-align: center;&quot;&gt;&lt;span face=&quot;Calibri, &amp;quot;sans-serif&amp;quot;&quot; style=&quot;font-size: 12pt;&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; &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; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;y&lt;span style=&quot;letter-spacing: 0.95pt;&quot;&gt;&amp;nbsp;&lt;/span&gt;=&lt;span style=&quot;letter-spacing: -2.35pt;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span face=&quot;Calibri, &amp;quot;sans-serif&amp;quot;&quot; style=&quot;font-size: 12pt;&quot;&gt;f&lt;span style=&quot;letter-spacing: -1.65pt;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span face=&quot;Calibri, &amp;quot;sans-serif&amp;quot;&quot; style=&quot;font-size: 12pt;&quot;&gt;(x,&lt;span style=&quot;letter-spacing: -0.65pt;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt;θ)&lt;/span&gt;&lt;/span&gt;&lt;span face=&quot;SimSun-ExtB&quot; style=&quot;font-size: 10pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt;&lt;/span&gt;&lt;div style=&quot;text-align: center;&quot;&gt;&amp;nbsp;&lt;/div&gt;&lt;p align=&quot;center&quot; class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 0in; margin-right: 17.45pt; margin-top: 2.25pt; margin: 2.25pt 0in 0in 17.45pt; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p align=&quot;center&quot; class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 0in; margin-right: 17.45pt; margin-top: 2.25pt; margin: 2.25pt 0in 0in 17.45pt; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;Price&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: 1.8pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;=&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -2.6pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;a&lt;sub&gt;0&lt;/sub&gt;&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;+&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -3.1pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;a&lt;sub&gt;1&lt;/sub&gt;&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;×&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -3.1pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;(Age)&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.55pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;+&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -3.1pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;a&lt;sub&gt;2&lt;/sub&gt;&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.15pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;×&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -3.1pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;(Distance)&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.55pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;+&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -3.1pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;a&lt;sub&gt;3&lt;/sub&gt;&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;×&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -3.1pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.2pt; line-height: 115%;&quot;&gt;(Weight)&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p align=&quot;center&quot; class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 0in; margin-right: 17.45pt; margin-top: 2.25pt; margin: 2.25pt 0in 0in 17.45pt; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 24.9pt; margin-right: 0in; margin-top: 9.6pt; margin: 9.6pt 0in 0in 24.9pt; tab-stops: 86.2pt 362.1pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;Where &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.4pt; line-height: 115%;&quot;&gt;x =&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;span style=&quot;mso-tab-count: 1;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;(&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;Age,&lt;/span&gt;&lt;span style=&quot;letter-spacing: 0.1pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;Distance,&lt;/span&gt;&lt;span style=&quot;letter-spacing: 0.15pt;&quot;&gt;
&lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;Weight)&lt;/span&gt;&lt;span style=&quot;letter-spacing: 3.05pt; mso-font-width: 150%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;denotes&lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;the&lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;set&lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;of&lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;input&lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.55pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;variables&lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;and&lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; θ&lt;/span&gt;&lt;span style=&quot;mso-tab-count: 1;&quot;&gt;&amp;nbsp;&amp;nbsp;&lt;/span&gt;=
(a&lt;sub&gt;0&lt;/sub&gt;,&lt;span style=&quot;letter-spacing: 0.3pt;&quot;&gt; &lt;/span&gt;a&lt;sub&gt;1&lt;/sub&gt;,&lt;span style=&quot;letter-spacing: 0.35pt;&quot;&gt; &lt;/span&gt;a&lt;sub&gt;2&lt;/sub&gt;,&lt;span style=&quot;letter-spacing: 0.35pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt;a&lt;sub&gt;3&lt;/sub&gt;&lt;/span&gt;) denotes&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;set&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;parameters&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;model.&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 115%; margin-top: 3.5pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;h4 style=&quot;line-height: 115%; margin-top: 0.05pt; tab-stops: 25.1pt;&quot;&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: 0.15pt; line-height: 115%;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;regression&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: 0.2pt; line-height: 115%;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-size: 12pt; letter-spacing: -0.1pt; line-height: 115%;&quot;&gt;Algorithms&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/h4&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 24.9pt; margin-right: 57.0pt; margin-top: 8.0pt; margin: 8pt 57pt 0in 24.9pt; mso-list: l1 level2 lfo1; tab-stops: 39.4pt 39.5pt; text-indent: -8.5pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 10pt; line-height: 115%; mso-font-width: 99%;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Simple
linear regression&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 24.9pt; margin-right: 57.0pt; margin-top: 0in; margin: 0in 57pt 0in 24.9pt; mso-list: l1 level2 lfo1; tab-stops: 39.4pt 39.5pt; text-indent: -8.5pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 10pt; line-height: 115%; mso-font-width: 99%;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Multivariate&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;linear&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;regression&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 24.9pt; margin-right: 57.0pt; margin-top: 0in; margin: 0in 57pt 0in 24.9pt; mso-list: l1 level2 lfo1; tab-stops: 39.4pt 39.5pt; text-indent: -8.5pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 10pt; line-height: 115%; mso-font-width: 99%;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Polynomial&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;regression&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 24.9pt; margin-right: 57.0pt; margin-top: 0in; margin: 0in 57pt 0in 24.9pt; mso-list: l1 level2 lfo1; tab-stops: 39.4pt 39.5pt; text-indent: -8.5pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 10pt; line-height: 115%; mso-font-width: 99%;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Logistic
regression&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 24.9pt; margin-right: 57.0pt; margin-top: 0in; margin: 0in 57pt 0in 24.9pt; mso-list: l1 level2 lfo1; tab-stops: 39.4pt 39.5pt; text-indent: -8.5pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 10pt; line-height: 115%; mso-font-width: 99%;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Decision
tree&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 115%; margin-bottom: 0in; margin-left: 24.9pt; margin-right: 57.0pt; margin-top: 0in; margin: 0in 57pt 0in 24.9pt; mso-list: l1 level2 lfo1; tab-stops: 39.4pt 39.5pt; text-indent: -8.5pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 10pt; line-height: 115%; mso-font-width: 99%;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Random
forest &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Different regression models: &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: 115%;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&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: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;There are various types of regression techniques available to
make predictions. These techniques mostly differ in three aspects, namely, the
number and type of independent variables, the type of dependent variables and
the shape of regression line. Some of these are listed below.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 115%; margin-left: 39.5pt; mso-list: l1 level2 lfo1; text-indent: -8.5pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 10pt; line-height: 115%; mso-font-width: 99%;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;b style=&quot;mso-bidi-font-weight: normal;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Simple linear regression:&lt;/span&gt;&lt;/b&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt; There is only one continuous independent variable x and the
assumed relation between the independent variable and the dependent variable y
is&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p align=&quot;center&quot; class=&quot;MsoNormal&quot; style=&quot;line-height: 115%; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;y = a + bx.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 115%;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 115%; margin-left: 39.5pt; mso-list: l1 level2 lfo1; text-indent: -8.5pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 10pt; line-height: 115%; mso-font-width: 99%;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;b style=&quot;mso-bidi-font-weight: normal;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Multivariate linear regression:&lt;/span&gt;&lt;/b&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt; There are more than one independent variable, say x&lt;sub&gt;1&lt;/sub&gt;,
. . . , x&lt;sub&gt;n&lt;/sub&gt;, and the assumed relation between the independent
variables and the dependent variable is&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p align=&quot;center&quot; class=&quot;MsoNormal&quot; style=&quot;line-height: 115%; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;y = a&lt;sub&gt;0&lt;/sub&gt; + a&lt;sub&gt;1&lt;/sub&gt;x&lt;sub&gt;1&lt;/sub&gt;
+ &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Cambria Math&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 115%; mso-bidi-font-family: &amp;quot;Cambria Math&amp;quot;;&quot;&gt;⋯&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt; + a&lt;sub&gt;n&lt;/sub&gt;x&lt;sub&gt;n&lt;/sub&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: 115%; margin-left: 39.5pt; mso-list: l1 level2 lfo1; text-indent: -8.5pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 10pt; line-height: 115%; mso-font-width: 99%;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;b style=&quot;mso-bidi-font-weight: normal;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Polynomial regression:&lt;/span&gt;&lt;/b&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt; There is only one continuous independent variable x and the
assumed model is&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p align=&quot;center&quot; class=&quot;MsoNormal&quot; style=&quot;line-height: 115%; text-align: center;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;y = a&lt;sub&gt;0&lt;/sub&gt; + a&lt;sub&gt;1&lt;/sub&gt;x + &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Cambria Math&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 115%; mso-bidi-font-family: &amp;quot;Cambria Math&amp;quot;;&quot;&gt;⋯&lt;/span&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt; + a&lt;sub&gt;n&lt;/sub&gt;x&lt;sup&gt;n&lt;/sup&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: 115%; margin-left: 39.5pt; mso-list: l1 level2 lfo1; text-indent: -8.5pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-size: 10pt; line-height: 115%; mso-font-width: 99%;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;b style=&quot;mso-bidi-font-weight: normal;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Logistic regression:&lt;/span&gt;&lt;/b&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt; The dependent variable is binary, that is, a variable which takes only
the values 0 and 1. The assumed model involves certain probability
distributions.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='https://salutionteach.blogspot.com/feeds/3940122443074171048/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='https://salutionteach.blogspot.com/2025/04/classification-in-machine-learning.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/3940122443074171048'/><link rel='self' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/3940122443074171048'/><link rel='alternate' type='text/html' href='https://salutionteach.blogspot.com/2025/04/classification-in-machine-learning.html' title='Classification and Regression'/><author><name>salutionteach</name><uri>http://www.blogger.com/profile/15753843071083819831</uri><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/AVvXsEhujddW6vifqVkRk3C5zl3cvLy6Kw-Aa6jQ7kRbdB9mGnRSwWPpHNZUhBiSXoolCdm39VhjQrmOIWKTL4WYW2oXBfq-1-P5dnjqvzqqRhL1cMvKmPl4tECvrCe6_YINW48wI3JXSszJ7eLzfPZoaNgwHgP_whYVC-g1Y2CfaRuQZgrbfUTia0q_4RJ8wCI/s72-c/Screenshot%202025-04-17%20042308.png" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-8766011798057583516.post-3466468826343799677</id><published>2025-04-17T02:24:00.000-07:00</published><updated>2025-04-17T09:17:35.493-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Naive Bayes"/><category scheme="http://www.blogger.com/atom/ns#" term="Naive Bayes algorithm"/><title type='text'>Naive Bayes classifier</title><content type='html'>&lt;p&gt;&amp;nbsp;&lt;span style=&quot;font-size: 12pt; text-align: justify;&quot;&gt;&lt;b&gt;Naive Bayes&lt;/b&gt; is a statistical
classification technique based on Bayes Theorem. It is one of the simplest
supervised learning algorithms. Naive Bayes classifier is the fast, accurate
and reliable algorithm. Naive Bayes classifiers have high accuracy and speed on
large datasets.&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-size: 12pt; text-align: justify;&quot;&gt;Naive Bayes classifier assumes that
the effect of a particular feature in a class is independent of other features.
For example, a loan applicant is desirable or not depending on his/her income,
previous loan and transaction history, age, and location. Even if these
features are interdependent, these features are still considered independently.
This assumption simplifies computation, and that&#39;s why it is considered as
naive. This assumption is called class conditional independence.&lt;/span&gt;&lt;/p&gt;&lt;div class=&quot;WordSection1&quot;&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: 0.5in; text-align: justify;&quot;&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/AVvXsEg7ogI1mDOQe6nFKtRBG15fVgPzf7zM9lfGx0fcNVNDe4CmnM-GmD0lUs_61PCx_Mn5xJXa13IoHVkazHk_rul15pl_q68yZskUnJk0afGhnhKQeI5eJcxqe-MQqnEe5u5wDjY63Rg8OrnfhgEU5gEZSdZcff9AoTtGElyQZuKFoNrT0cmDcc9r1WbcLAc&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;106&quot; data-original-width=&quot;393&quot; height=&quot;86&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEg7ogI1mDOQe6nFKtRBG15fVgPzf7zM9lfGx0fcNVNDe4CmnM-GmD0lUs_61PCx_Mn5xJXa13IoHVkazHk_rul15pl_q68yZskUnJk0afGhnhKQeI5eJcxqe-MQqnEe5u5wDjY63Rg8OrnfhgEU5gEZSdZcff9AoTtGElyQZuKFoNrT0cmDcc9r1WbcLAc&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpFirst&quot; style=&quot;line-height: 200%; margin-left: 0.75in; mso-add-space: auto; mso-list: l0 level1 lfo1; text-align: justify; text-indent: -0.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12pt; line-height: 200%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;·&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 200%;&quot;&gt;P(h): the probability of hypothesis h
being true (regardless of the data). This is known as the prior probability of
h.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;line-height: 200%; margin-left: 0.75in; mso-add-space: auto; mso-list: l0 level1 lfo1; text-align: justify; text-indent: -0.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12pt; line-height: 200%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;·&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 200%;&quot;&gt;P(D): the probability of the data
(regardless of the hypothesis). This is known as the prior probability.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;line-height: 200%; margin-left: 0.75in; mso-add-space: auto; mso-list: l0 level1 lfo1; text-align: justify; text-indent: -0.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12pt; line-height: 200%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;·&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 200%;&quot;&gt;P(h|D): the probability of hypothesis
h given the data D. This is known as posterior probability.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;line-height: 200%; margin-left: 0.75in; mso-add-space: auto; mso-list: l0 level1 lfo1; text-align: justify; text-indent: -0.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12pt; line-height: 200%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;·&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12pt; line-height: 200%;&quot;&gt;P(D|h): the probability of data d
given that the hypothesis h was true. This is known as posterior probability.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Let’s understand the concept of the
Naive Bayes Theorem through an example. We are taking a dataset of employees in
a company, our aim is to create a model to find whether a person is going to
the office by driving or walking using salary and age of the person.&lt;o:p&gt;&lt;/o:p&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/AVvXsEgNwerDIL79uGfoTlyLAcUm6CivqfP77qn3ZBlpYV6XK9_RIVprY9zjkKhfjCKVNM948NoSdKrxQH9j-FqNQN90JHN5PY-csSH0GlWIwe0MBIdEPck3_gTXvDaRSAaQ7bX0FPylQaZWte2Rx5f75ovk9-f98_f-YU59TSqqzYT2t9gK5n3-dsO7kRpv-Es/s707/12.png&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; data-original-height=&quot;406&quot; data-original-width=&quot;707&quot; height=&quot;184&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgNwerDIL79uGfoTlyLAcUm6CivqfP77qn3ZBlpYV6XK9_RIVprY9zjkKhfjCKVNM948NoSdKrxQH9j-FqNQN90JHN5PY-csSH0GlWIwe0MBIdEPck3_gTXvDaRSAaQ7bX0FPylQaZWte2Rx5f75ovk9-f98_f-YU59TSqqzYT2t9gK5n3-dsO7kRpv-Es/s320/12.png&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;In the above, we can see 30 data
points in which red points belong to those who are walking and green belongs to
those who are driving. Now let’s add a new data point into it. Our aim is to
find the category that the new point belongs to.&lt;o:p&gt;&lt;/o:p&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/AVvXsEjdsqAwJcqXkRq43ektb9WD5qs-Nr2C_NQM4CGIhrzyIMZZ4miFH3qbvDQ8dMnkCgvN1g4Fxj8T0rCaDm01uYfNUR0nL8NzXThzudV-73-Kqg8ndFhRvyZ0jB_QzPegzAyWYsS1aJfSPySo4l3UDvfBXUfMtdoQ2O-gZ_pqBOCYoSIflSLzAlxUqqRPF_o/s876/13.png&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; data-original-height=&quot;322&quot; data-original-width=&quot;876&quot; height=&quot;118&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdsqAwJcqXkRq43ektb9WD5qs-Nr2C_NQM4CGIhrzyIMZZ4miFH3qbvDQ8dMnkCgvN1g4Fxj8T0rCaDm01uYfNUR0nL8NzXThzudV-73-Kqg8ndFhRvyZ0jB_QzPegzAyWYsS1aJfSPySo4l3UDvfBXUfMtdoQ2O-gZ_pqBOCYoSIflSLzAlxUqqRPF_o/s320/13.png&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;Note that we are taken age on the
X-axis and Salary on the Y-axis. We are using the Naive Bayes algorithm to find
the category of the new data point. For this, we have to find the posterior
probability of walking and driving for this data point. After comparing, the
point belongs to the category having a higher probability.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;The posterior probability of walking
for the new data point is :&lt;o:p&gt;&lt;/o:p&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/AVvXsEiFiq_BLFa0Z_GcSjwVolY_YqSXzegApyiD5OX7Hr0wCFkoQAxb9neHqoy7cxnvow3FKI8ZUp6i-WHhrXq0oDPRtgBBd_SpFFYfcVxRQVbwzLEqVoFgzrj2GbYa39EZAWdq1S0BWf_jcfJBr1N1L6bU_p3NdRmBRynID0E67tInCASETwWm2Vr4zweq7y8/s878/14.png&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; data-original-height=&quot;337&quot; data-original-width=&quot;878&quot; height=&quot;123&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiFiq_BLFa0Z_GcSjwVolY_YqSXzegApyiD5OX7Hr0wCFkoQAxb9neHqoy7cxnvow3FKI8ZUp6i-WHhrXq0oDPRtgBBd_SpFFYfcVxRQVbwzLEqVoFgzrj2GbYa39EZAWdq1S0BWf_jcfJBr1N1L6bU_p3NdRmBRynID0E67tInCASETwWm2Vr4zweq7y8/s320/14.png&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0in; margin-left: 102.0pt; margin-right: 0in; margin-top: 8.6pt; margin: 8.6pt 0in 0in 102pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;also&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;for&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;driving&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;
&lt;/span&gt;is&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt;:&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

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&lt;p class=&quot;MsoListParagraphCxSpLast&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-size: 12pt; line-height: 115%;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0in; margin-left: .5in; margin-right: 0in; margin-top: .05pt; margin: 0.05pt 0in 0in 0.5in; mso-outline-level: 1; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;b&gt;&lt;u&gt;&lt;span face=&quot;&amp;quot;Arial&amp;quot;,&amp;quot;sans-serif&amp;quot;&quot; style=&quot;font-size: 18pt; mso-bidi-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-hansi-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Naive&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;Bayes&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;algorithm&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/u&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0in; margin-left: 66.0pt; margin-right: 75.1pt; margin-top: 13.85pt; margin: 13.85pt 75.1pt 0in 66pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;!--[if gte vml 1]&gt;&lt;o:wrapblock&gt;&lt;v:shape
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&lt;b style=&quot;mso-bidi-font-weight: normal;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Step&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;1:&lt;/span&gt;&lt;/b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.05pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;We&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;
&lt;/span&gt;have&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;to&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;find&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;all&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;probabilities&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;required&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt;
&lt;/span&gt;for&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;Bayes&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;theorem&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;for&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;calculation&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;posterior &lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;probability&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;p&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0in; margin-left: 66.0pt; margin-right: 75.1pt; margin-top: 13.85pt; margin: 13.85pt 75.1pt 0in 66pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&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/AVvXsEgUPs4x5Ha3kjdYjiQWQJxf92FOHHyaGJo_H3ubguLW9CYCMp0aPaQZ3bbxW_FQKpWiuzrcygt5RIQ-xV5zc2uhLBkLkx7-GvkJir3kvWJy5WOjA8-j4za7XVSdr95oHNhZ0mIH3wGlbsoQN5fnqaxaxbMtPt-eol0ChmrNSD-aYEndDX0x4UL1d47TsP4/s614/16.jpg&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; data-original-height=&quot;256&quot; data-original-width=&quot;614&quot; height=&quot;133&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgUPs4x5Ha3kjdYjiQWQJxf92FOHHyaGJo_H3ubguLW9CYCMp0aPaQZ3bbxW_FQKpWiuzrcygt5RIQ-xV5zc2uhLBkLkx7-GvkJir3kvWJy5WOjA8-j4za7XVSdr95oHNhZ0mIH3wGlbsoQN5fnqaxaxbMtPt-eol0ChmrNSD-aYEndDX0x4UL1d47TsP4/s320/16.jpg&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0in; margin-left: 66.0pt; margin-right: 0in; margin-top: 10.1pt; margin: 10.1pt 0in 0in 66pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;P(Walks)&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;is&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;simply&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;probability&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;those&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;who&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;walk&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;among&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt;
all&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: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0in; margin-left: 0in; margin-right: 0in; margin-top: 3.95pt; margin: 3.95pt 0in 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 200%; margin-bottom: 0in; margin-left: 66.0pt; margin-right: 65.95pt; margin-top: 0in; margin: 0in 65.95pt 0in 66pt; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: 3.7pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 200%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;In&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;
&lt;/span&gt;order&lt;span style=&quot;letter-spacing: -0.05pt;&quot;&gt; &lt;/span&gt;to&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;find&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;marginal&lt;span style=&quot;letter-spacing: -0.05pt;&quot;&gt;
&lt;/span&gt;likelihood,&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;P(X),&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;we&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;have&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;to&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;consider&lt;span style=&quot;letter-spacing: -0.05pt;&quot;&gt; &lt;/span&gt;a&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;circle&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;around&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;new&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;data&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;point&lt;span style=&quot;letter-spacing: -0.05pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;any radii including some red and green
points.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

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&lt;/span&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .05pt; margin-left: 0in; margin-right: 0in; margin-top: 8.9pt; margin: 8.9pt 0in 0.05pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0in; margin-left: 66.0pt; margin-right: 0in; margin-top: 0in; margin: 0in 0in 0in 66pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0in; margin-left: 0in; margin-right: 0in; margin-top: 1.45pt; margin: 1.45pt 0in 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0in; margin-left: 66.0pt; margin-right: 0in; margin-top: 0in; margin: 0in 0in 0in 66pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;P(X|Walks)&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;can&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;be&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;found&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;by&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt;:&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

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&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0in; margin-left: 66.0pt; margin-right: 0in; margin-top: .05pt; margin: 0.05pt 0in 0in 66pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Now&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;we&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;can&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;find&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;posterior&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt;
&lt;/span&gt;probability&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;using&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;Bayes&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; theorem,&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;

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&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0in; margin-left: 66.0pt; margin-right: 0in; margin-top: 0in; margin: 0in 0in 0in 66pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: 0in; margin-left: 66.0pt; margin-right: 0in; margin-top: 0in; margin: 0in 0in 0in 66pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;/p&gt;&lt;div style=&quot;text-align: left;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;b&gt;Step&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;2:&lt;/b&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;Similarly&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;we&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;can&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;find&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;posterior&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt;
&lt;/span&gt;probability&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;Driving,&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt;
&lt;/span&gt;and&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;it&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;is&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; 0.25&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;p&gt;&lt;/p&gt;

&lt;b&gt;Step 3:&lt;/b&gt; Compare both posterior probabilities. When comparing the posterior probability, we can find that P(walks|X) has greater values and the new point belongs to the walking category.&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 101%; margin-bottom: 0in; margin-left: 66.0pt; margin-right: 75.1pt; margin-top: 9.8pt; margin: 9.8pt 75.1pt 0in 66pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;br /&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='https://salutionteach.blogspot.com/feeds/3466468826343799677/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='https://salutionteach.blogspot.com/2025/04/naive-bayes-classifier.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/3466468826343799677'/><link rel='self' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/3466468826343799677'/><link rel='alternate' type='text/html' href='https://salutionteach.blogspot.com/2025/04/naive-bayes-classifier.html' title='Naive Bayes classifier'/><author><name>salutionteach</name><uri>http://www.blogger.com/profile/15753843071083819831</uri><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/AVvXsEg7ogI1mDOQe6nFKtRBG15fVgPzf7zM9lfGx0fcNVNDe4CmnM-GmD0lUs_61PCx_Mn5xJXa13IoHVkazHk_rul15pl_q68yZskUnJk0afGhnhKQeI5eJcxqe-MQqnEe5u5wDjY63Rg8OrnfhgEU5gEZSdZcff9AoTtGElyQZuKFoNrT0cmDcc9r1WbcLAc=s72-c" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-8766011798057583516.post-7902017171588752314</id><published>2025-04-15T01:47:00.000-07:00</published><updated>2025-04-15T01:49:59.089-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Association"/><category scheme="http://www.blogger.com/atom/ns#" term="Classification"/><category scheme="http://www.blogger.com/atom/ns#" term="Clustering"/><category scheme="http://www.blogger.com/atom/ns#" term="Regression"/><category scheme="http://www.blogger.com/atom/ns#" term="Reinforcement learning"/><category scheme="http://www.blogger.com/atom/ns#" term="Supervised learning"/><category scheme="http://www.blogger.com/atom/ns#" term="Unsupervised learning"/><title type='text'>Types of Machine Learning</title><content type='html'>&lt;div&gt;&lt;br /&gt;&lt;/div&gt;In general, machine learning algorithms can be classified into three types.

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 14.6pt; margin-right: 0in; margin-top: 9.9pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;(1)&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;Supervised&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;learning&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 14.6pt; margin-right: 0in; margin-top: 9.9pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;(2)&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;Unsupervised&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;learning&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 14.6pt; margin-right: 0in; margin-top: 9.9pt; mso-pagination: none; tab-stops: 171.15pt; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;(3)&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;Reinforcement&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;learning&lt;span style=&quot;mso-tab-count: 1;&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: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 14.6pt; margin-right: 0in; margin-top: 9.9pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Additionally, there is a more specific category called
semi-supervised learning, which &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 14.6pt; margin-right: 0in; margin-top: 9.9pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;combines elements of both supervised and unsupervised
learning.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 14.6pt; margin-right: 0in; margin-top: 9.9pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&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/AVvXsEiz6_i_BsIpudASzjMMiNXBKVtrmQYlKhSJ2eZo6LADxjQRmK3-MX48JauMVoLUIiUESPKkJgt6YHxrAB151EEFXuzbXEk6Enq_PZ3DZzPAgNQL4rR0AAMqp1I19hyphenhyphent7WRUaoeGRHP99JmM7I7n8zMoMb5ucQwLYyHFYv5kQ3qQ4gZq3bgL-AIWPsKL_GQ/s646/4.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;387&quot; data-original-width=&quot;646&quot; height=&quot;240&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiz6_i_BsIpudASzjMMiNXBKVtrmQYlKhSJ2eZo6LADxjQRmK3-MX48JauMVoLUIiUESPKkJgt6YHxrAB151EEFXuzbXEk6Enq_PZ3DZzPAgNQL4rR0AAMqp1I19hyphenhyphent7WRUaoeGRHP99JmM7I7n8zMoMb5ucQwLYyHFYv5kQ3qQ4gZq3bgL-AIWPsKL_GQ/w400-h240/4.png&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin: 9.9pt 0in 0.0001pt 14.6pt; 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; line-height: 150%; mso-font-width: 110%;&quot;&gt;Figure 1:&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;&lt;/span&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; line-height: 150%; mso-font-width: 110%;&quot;&gt;Categories of machine learning &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .25in; margin-right: 0in; margin-top: .05pt; mso-add-space: auto; mso-list: l0 level1 lfo1; mso-outline-level: 3; mso-pagination: none; tab-stops: 35.0pt; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14.0pt; letter-spacing: -.1pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-font-width: 120%;&quot;&gt;1.&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; font-weight: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;!--[endif]--&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14.0pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 120%;&quot;&gt;Supervised&lt;span style=&quot;letter-spacing: .95pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -.1pt;&quot;&gt;Learning:- &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 0in; margin-right: 57.0pt; margin-top: 6.75pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Supervised learning is the machine learning task of learning
a function that maps an input to an&lt;span style=&quot;letter-spacing: 4.0pt;&quot;&gt; &lt;/span&gt;output
based on example input-output pairs.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 0in; margin-right: 57.0pt; margin-top: 5.95pt; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: 14.9pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;In supervised learning, each example
in the training set is a pair consisting of an input object (typically a
vector) and an output value.&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;A
supervised learning algorithm analyzes the training&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;data and produces a function, which can be used for mapping new
examples.&lt;span style=&quot;letter-spacing: 1.85pt;&quot;&gt; &lt;/span&gt;In the optimal case, the
function will correctly determine the class labels for unseen instances.&lt;span style=&quot;letter-spacing: 1.75pt;&quot;&gt; &lt;/span&gt;Both classification and regression
problems are supervised learning problems.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 0in; margin-right: 57.0pt; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: 14.9pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;A&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt;
&lt;/span&gt;wide&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt; &lt;/span&gt;range&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt; &lt;/span&gt;supervised&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt; &lt;/span&gt;learning&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt;
&lt;/span&gt;algorithms&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt; &lt;/span&gt;are&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt; &lt;/span&gt;available,&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt; &lt;/span&gt;each&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt; &lt;/span&gt;with&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt; &lt;/span&gt;its&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt; &lt;/span&gt;strengths&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt; &lt;/span&gt;and&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt; &lt;/span&gt;weak-
nesses. There is no single learning algorithm that works best on all supervised
learning problem.&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/AVvXsEicMlcxz2oUrRc-FsNTvKwo6QCdPoh801PskVylGTKGhAi7UNTtR70l4P-lsuXYPmJYPw2mKyvJHg4mkIRsaVDk2bXgZWhygKTVQVsvyWQhRNeUFj4EU9aDvObR17t3PjRuumUMjtUqhCBn7Bv4P8vYfPjfPIh6aY-lE_2WLUkpeBIO8AXSydVlJX3g_S4/s907/5.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;328&quot; data-original-width=&quot;907&quot; height=&quot;145&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEicMlcxz2oUrRc-FsNTvKwo6QCdPoh801PskVylGTKGhAi7UNTtR70l4P-lsuXYPmJYPw2mKyvJHg4mkIRsaVDk2bXgZWhygKTVQVsvyWQhRNeUFj4EU9aDvObR17t3PjRuumUMjtUqhCBn7Bv4P8vYfPjfPIh6aY-lE_2WLUkpeBIO8AXSydVlJX3g_S4/w400-h145/5.jpg&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 149.5pt; margin-right: 0in; margin-top: 8.15pt; text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%;&quot;&gt;Figure&lt;span style=&quot;letter-spacing: -.35pt;&quot;&gt; &lt;/span&gt;1.4:&lt;span style=&quot;letter-spacing: .25pt;&quot;&gt; &lt;/span&gt;Supervised&lt;span style=&quot;letter-spacing: -.35pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -.1pt;&quot;&gt;learning&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 150%; margin-top: 8.15pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%;&quot;&gt;There
are two main categories of supervised learning that are:&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 0in; margin-top: 8.15pt; mso-list: l0 level1 lfo1; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%;&quot;&gt;Classification&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 0in; margin-top: 8.15pt; mso-list: l0 level1 lfo1; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%;&quot;&gt;Regression&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 0in; margin-right: 56.6pt; margin-top: .05pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 105%;&quot;&gt;Supervised learning is the subcategory of machine
learning that focuses on learning a classification (Figure &lt;/span&gt;&lt;a href=&quot;file:///D:/machine%20learning/lec%204%20Types%20of%20Machine%20Learning.docx#_bookmark12&quot;&gt;&lt;span style=&quot;color: blue; font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; text-decoration-line: none;&quot;&gt;2&lt;/span&gt;&lt;/a&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 105%;&quot;&gt;), or regression model
(Figure &lt;/span&gt;&lt;a href=&quot;file:///D:/machine%20learning/lec%204%20Types%20of%20Machine%20Learning.docx#_bookmark13&quot;&gt;&lt;span style=&quot;color: blue; font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; text-decoration-line: none;&quot;&gt;3&lt;/span&gt;&lt;/a&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 105%;&quot;&gt;), that is, learning from
labeled training data (i.e., inputs that also contain the desired outputs or
targets; basically, “examples” of what we want to predict).&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&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: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 0in; margin-right: 56.6pt; margin-top: .05pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&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/AVvXsEjkxqBrWeroD3ncN8RRE-Ti4j2XeX6y8-pHyHomrOExQevUeXzJM9NCpJ2g-Wl_DW9HoCrb4ePAgLtRbuGq2z283siTyf1B6NH43CZHFZnvMs5VHBxGFesNpa-41-EVl7eKVKXNCIXV9pRbY3W_YmeOivD3kpQbgCGc_MKa2Zn1fiRWxDi8j9Bk-3pDZy0/s444/6.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;367&quot; data-original-width=&quot;444&quot; height=&quot;265&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjkxqBrWeroD3ncN8RRE-Ti4j2XeX6y8-pHyHomrOExQevUeXzJM9NCpJ2g-Wl_DW9HoCrb4ePAgLtRbuGq2z283siTyf1B6NH43CZHFZnvMs5VHBxGFesNpa-41-EVl7eKVKXNCIXV9pRbY3W_YmeOivD3kpQbgCGc_MKa2Zn1fiRWxDi8j9Bk-3pDZy0/s320/6.png&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 0in; margin-right: 56.6pt; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Figure 2:&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;&lt;/span&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Illustration of a binary classification problem
(plus and minus signs denote class labels) &lt;span style=&quot;mso-text-raise: 1.0pt; position: relative; top: -1.0pt;&quot;&gt;and&lt;span style=&quot;letter-spacing: 1.2pt;&quot;&gt; &lt;/span&gt;two&lt;span style=&quot;letter-spacing: 1.2pt;&quot;&gt; &lt;/span&gt;feature&lt;span style=&quot;letter-spacing: 1.2pt;&quot;&gt;
&lt;/span&gt;variables,&lt;span style=&quot;letter-spacing: 1.3pt;&quot;&gt; &lt;/span&gt;(x&lt;/span&gt;1 &lt;span style=&quot;mso-text-raise: 1.0pt; position: relative; top: -1.0pt;&quot;&gt;and&lt;span style=&quot;letter-spacing: 1.2pt;&quot;&gt; &lt;/span&gt;x&lt;/span&gt;2&lt;span style=&quot;mso-text-raise: 1.0pt; position: relative; top: -1.0pt;&quot;&gt;).&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;(Source:&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;Raschka&lt;span style=&quot;letter-spacing: 1.2pt;&quot;&gt;
&lt;/span&gt;&amp;amp;&lt;span style=&quot;letter-spacing: 1.2pt;&quot;&gt; &lt;/span&gt;Mirjalili:&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;Python&lt;span style=&quot;letter-spacing: 1.2pt;&quot;&gt; &lt;/span&gt;Machine&lt;span style=&quot;letter-spacing: 1.2pt;&quot;&gt; &lt;/span&gt;Learning, &lt;/span&gt;3rd Ed.).&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 0in; margin-right: 56.6pt; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&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/AVvXsEjBSlY3vOoLwd_Ygv-BVtDq6gTFwTOQSmUvKfscLf2PDCmWGYWUQKmYnmfpClmD3G0gq35mwM1zfvGYa0LK5bM4yhYKVZQ6vJ7W92pBW5QnZq96nBAebRcmBQox1_SOvGX19Zz-4urafrbfdTtDgb_GaeGo8NKP-_xoK4HpifkZIR5ew_rZZ5wl30MY_u4/s376/7.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;322&quot; data-original-width=&quot;376&quot; height=&quot;274&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjBSlY3vOoLwd_Ygv-BVtDq6gTFwTOQSmUvKfscLf2PDCmWGYWUQKmYnmfpClmD3G0gq35mwM1zfvGYa0LK5bM4yhYKVZQ6vJ7W92pBW5QnZq96nBAebRcmBQox1_SOvGX19Zz-4urafrbfdTtDgb_GaeGo8NKP-_xoK4HpifkZIR5ew_rZZ5wl30MY_u4/s320/7.png&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;&lt;br /&gt;&lt;/div&gt;&lt;p&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 0in; margin-right: 56.6pt; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%; mso-text-raise: 1.0pt; position: relative; top: -1.0pt;&quot;&gt;Figure 3:&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;&lt;/span&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%; mso-text-raise: 1.0pt; position: relative; top: -1.0pt;&quot;&gt;Illustration of a linear regression model with one
feature variable (x&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;1&lt;span style=&quot;mso-text-raise: 1.0pt; position: relative; top: -1.0pt;&quot;&gt;) and the target &lt;/span&gt;variable y.&lt;span style=&quot;letter-spacing: 1.75pt;&quot;&gt; &lt;/span&gt;The
dashed-line indicates the functional form of the linear regression model.&lt;span style=&quot;letter-spacing: 1.75pt;&quot;&gt; &lt;/span&gt;(Source: Raschka&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;&amp;amp;&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;Mirjalili:&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;Python&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;Machine&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;Learning,&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt;
&lt;/span&gt;3rd&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;Ed.).&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 14.6pt; margin-right: 0in; margin-top: 0in; mso-outline-level: 4; mso-pagination: none; text-align: justify; text-autospace: none;&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; letter-spacing: -.1pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Example&lt;/span&gt;&lt;/b&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; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&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: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 39.5pt; margin-right: 57.0pt; margin-top: .1in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Consider&lt;span style=&quot;letter-spacing: 1.05pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: 1.05pt;&quot;&gt; &lt;/span&gt;following&lt;span style=&quot;letter-spacing: 1.05pt;&quot;&gt; &lt;/span&gt;data&lt;span style=&quot;letter-spacing: 1.05pt;&quot;&gt; &lt;/span&gt;regarding&lt;span style=&quot;letter-spacing: 1.05pt;&quot;&gt; &lt;/span&gt;patients&lt;span style=&quot;letter-spacing: 1.05pt;&quot;&gt;
&lt;/span&gt;entering&lt;span style=&quot;letter-spacing: 1.05pt;&quot;&gt; &lt;/span&gt;a&lt;span style=&quot;letter-spacing: 1.05pt;&quot;&gt; &lt;/span&gt;clinic.&lt;span style=&quot;letter-spacing: 4.0pt;&quot;&gt;
&lt;/span&gt;The&lt;span style=&quot;letter-spacing: 1.05pt;&quot;&gt; &lt;/span&gt;data&lt;span style=&quot;letter-spacing: 1.05pt;&quot;&gt; &lt;/span&gt;consists&lt;span style=&quot;letter-spacing: 1.05pt;&quot;&gt;
&lt;/span&gt;of&lt;span style=&quot;letter-spacing: 1.05pt;&quot;&gt; &lt;/span&gt;the gender and age of the
patients and each patient is labeled as “healthy” or “sick”.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 0in; margin-right: 56.6pt; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;







&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;&lt;/span&gt;&lt;/p&gt;&lt;table border=&quot;0&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;MsoNormalTable&quot; style=&quot;border-collapse: collapse; margin-left: 172.0pt; mso-padding-alt: 0in 0in 0in 0in; mso-table-layout-alt: fixed; mso-yfti-tbllook: 480;&quot;&gt;
 &lt;tbody&gt;&lt;tr style=&quot;height: 11.85pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;&quot;&gt;
  &lt;td style=&quot;border-left: none; border: solid black 1.0pt; height: 11.85pt; mso-border-bottom-alt: solid black .5pt; mso-border-right-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.25pt;&quot; valign=&quot;top&quot; width=&quot;79&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.1pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;gender&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-left: none; border: solid black 1.0pt; height: 11.85pt; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 26.15pt;&quot; valign=&quot;top&quot; width=&quot;52&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;age&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: none; border-top: solid black 1.0pt; height: 11.85pt; mso-border-bottom-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 41.4pt;&quot; valign=&quot;top&quot; width=&quot;83&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.1pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;label&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
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 &lt;/tr&gt;
 &lt;tr style=&quot;height: 11.05pt; mso-yfti-irow: 1;&quot;&gt;
  &lt;td style=&quot;border-right: solid black 1.0pt; border: none; height: 11.05pt; mso-border-right-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.25pt;&quot; valign=&quot;top&quot; width=&quot;79&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.5pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;M&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-right: solid black 1.0pt; border: none; height: 11.05pt; mso-border-left-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-right-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 26.15pt;&quot; valign=&quot;top&quot; width=&quot;52&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;48&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: none; height: 11.05pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 41.4pt;&quot; valign=&quot;top&quot; width=&quot;83&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.2pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;sick&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 11.95pt; mso-yfti-irow: 2;&quot;&gt;
  &lt;td style=&quot;border-right: solid black 1.0pt; border: none; height: 11.95pt; mso-border-right-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.25pt;&quot; valign=&quot;top&quot; width=&quot;79&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.5pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;M&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-right: solid black 1.0pt; border: none; height: 11.95pt; mso-border-left-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-right-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 26.15pt;&quot; valign=&quot;top&quot; width=&quot;52&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;67&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: none; height: 11.95pt; mso-border-left-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 41.4pt;&quot; valign=&quot;top&quot; width=&quot;83&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.2pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;sick&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 11.95pt; mso-yfti-irow: 3;&quot;&gt;
  &lt;td style=&quot;border-right: solid black 1.0pt; border: none; height: 11.95pt; mso-border-right-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.25pt;&quot; valign=&quot;top&quot; width=&quot;79&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.5pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;F&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-right: solid black 1.0pt; border: none; height: 11.95pt; mso-border-left-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-right-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 26.15pt;&quot; valign=&quot;top&quot; width=&quot;52&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;53&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: none; height: 11.95pt; mso-border-left-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 41.4pt;&quot; valign=&quot;top&quot; width=&quot;83&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.1pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;healthy&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 11.95pt; mso-yfti-irow: 4;&quot;&gt;
  &lt;td style=&quot;border-right: solid black 1.0pt; border: none; height: 11.95pt; mso-border-right-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.25pt;&quot; valign=&quot;top&quot; width=&quot;79&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.5pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;M&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-right: solid black 1.0pt; border: none; height: 11.95pt; mso-border-left-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-right-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 26.15pt;&quot; valign=&quot;top&quot; width=&quot;52&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;49&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: none; height: 11.95pt; mso-border-left-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 41.4pt;&quot; valign=&quot;top&quot; width=&quot;83&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.1pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;healthy&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 11.95pt; mso-yfti-irow: 5;&quot;&gt;
  &lt;td style=&quot;border-right: solid black 1.0pt; border: none; height: 11.95pt; mso-border-right-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.25pt;&quot; valign=&quot;top&quot; width=&quot;79&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.5pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;F&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-right: solid black 1.0pt; border: none; height: 11.95pt; mso-border-left-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-right-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 26.15pt;&quot; valign=&quot;top&quot; width=&quot;52&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;34&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: none; height: 11.95pt; mso-border-left-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 41.4pt;&quot; valign=&quot;top&quot; width=&quot;83&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.2pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;sick&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 12.7pt; mso-yfti-irow: 6; mso-yfti-lastrow: yes;&quot;&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 12.7pt; mso-border-bottom-alt: solid black .5pt; mso-border-right-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.25pt;&quot; valign=&quot;top&quot; width=&quot;79&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.5pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;M&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 12.7pt; mso-border-bottom-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-right-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 26.15pt;&quot; valign=&quot;top&quot; width=&quot;52&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;21&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border: none; height: 12.7pt; mso-border-bottom-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 41.4pt;&quot; valign=&quot;top&quot; width=&quot;83&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.1pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;healthy&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&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: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 39.5pt; margin-right: 57.0pt; margin-top: 10.35pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Based&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;on&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;this&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;data,
when&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;a&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;new&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;patient&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;enters&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt;
&lt;/span&gt;the&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;clinic, how&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;can&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;one&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;predict&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt;
&lt;/span&gt;whether&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;he/she is healthy or
sick?&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .25in; margin-right: 57.0pt; margin-top: 10.35pt; mso-pagination: none; text-align: justify; text-autospace: none;&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; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Advantages of Supervised Machine
Learning:-&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpFirst&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .75in; margin-right: 57.0pt; margin-top: 10.35pt; mso-add-space: auto; mso-list: l2 level1 lfo1; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp; &amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Supervised Learning models can have
high accuracy as they are trained on labelled data.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .75in; margin-right: 57.0pt; margin-top: 10.35pt; mso-add-space: auto; mso-list: l2 level1 lfo1; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;The process of decision-making in
supervised learning models is often interpretable.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpLast&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .75in; margin-right: 57.0pt; margin-top: 10.35pt; mso-add-space: auto; mso-list: l2 level1 lfo1; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;It can often be used in pre-trained
models which saves time and resources when developing new models from scratch.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .25in; margin-right: 57.0pt; margin-top: 10.35pt; mso-pagination: none; text-align: justify; text-autospace: none;&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; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Disadvantages of Supervised Machine
Learning:-&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpFirst&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .75in; margin-right: 57.0pt; margin-top: 10.35pt; mso-add-space: auto; mso-list: l0 level1 lfo2; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp; &amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;It has limitations in knowing
patterns and may struggle with unseen or unexpected patterns that are not present
in the training data.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .75in; margin-right: 57.0pt; margin-top: 10.35pt; mso-add-space: auto; mso-list: l0 level1 lfo2; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;It can be time-consuming and costly
as it relies on labeled data only.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpLast&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .75in; margin-right: 57.0pt; margin-top: 10.35pt; mso-add-space: auto; mso-list: l0 level1 lfo2; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;It may lead to poor generalizations
based on new 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: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .25in; margin-right: 57.0pt; margin-top: 10.35pt; mso-pagination: none; text-align: justify; text-autospace: none;&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; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Applications of Supervised Learning:-&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: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .25in; margin-right: 57.0pt; margin-top: 10.35pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Supervised learning is used in a wide variety of
applications, including:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpFirst&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 57.0pt; margin-top: 10.35pt; mso-add-space: auto; mso-list: l1 level1 lfo3; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Image classification: Identify
objects, faces, and other features in images.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 57.0pt; margin-top: 10.35pt; mso-add-space: auto; mso-list: l1 level1 lfo3; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Natural language processing: Extract
information from text, such as sentiment, entities, and relationships.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 57.0pt; margin-top: 10.35pt; mso-add-space: auto; mso-list: l1 level1 lfo3; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Speech recognition: Convert spoken
language into text.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 57.0pt; margin-top: 10.35pt; mso-add-space: auto; mso-list: l1 level1 lfo3; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Recommendation systems: Make
personalized recommendations to users.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 57.0pt; margin-top: 10.35pt; mso-add-space: auto; mso-list: l1 level1 lfo3; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Predictive analytics: Predict
outcomes, such as sales, customer churn, and stock prices.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 57.0pt; margin-top: 10.35pt; mso-add-space: auto; mso-list: l1 level1 lfo3; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Medical diagnosis: Detect diseases
and other medical conditions.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 57.0pt; margin-top: 10.35pt; mso-add-space: auto; mso-list: l1 level1 lfo3; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Fraud detection: Identify fraudulent
transactions.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 57.0pt; margin-top: 10.35pt; mso-add-space: auto; mso-list: l1 level1 lfo3; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Autonomous vehicles: Recognize and
respond to objects in the environment.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 57.0pt; margin-top: 10.35pt; mso-add-space: auto; mso-list: l1 level1 lfo3; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Email spam detection: Classify
emails as spam or not spam.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 57.0pt; margin-top: 10.35pt; mso-add-space: auto; mso-list: l1 level1 lfo3; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Quality control in manufacturing:
Inspect products for defects.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 57.0pt; margin-top: 10.35pt; mso-add-space: auto; mso-list: l1 level1 lfo3; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Credit scoring: Assess the risk of a
borrower defaulting on a loan.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 57.0pt; margin-top: 10.35pt; mso-add-space: auto; mso-list: l1 level1 lfo3; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Gaming: Recognize characters,
analyze player behavior, and create NPCs.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 57.0pt; margin-top: 10.35pt; mso-add-space: auto; mso-list: l1 level1 lfo3; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Customer support: Automate customer
support tasks.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 57.0pt; margin-top: 10.35pt; mso-add-space: auto; mso-list: l1 level1 lfo3; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Weather forecasting: Make
predictions for temperature, precipitation, and other meteorological
parameters.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpLast&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 57.0pt; margin-top: 10.35pt; mso-add-space: auto; mso-list: l1 level1 lfo3; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Sports analytics: Analyze player
performance, make game predictions, and optimize strategies.&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .25in; margin-right: 56.6pt; margin-top: 0in; mso-add-space: auto; mso-list: l0 level1 lfo1; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&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: 14.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;2.&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; font-weight: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14.0pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Unsupervised
learning:-&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: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 14.6pt; margin-right: 57.0pt; margin-top: 6.7pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Unsupervised&lt;span style=&quot;letter-spacing: -.65pt;&quot;&gt; &lt;/span&gt;learning&lt;span style=&quot;letter-spacing: -.6pt;&quot;&gt; &lt;/span&gt;is&lt;span style=&quot;letter-spacing: -.65pt;&quot;&gt; &lt;/span&gt;a&lt;span style=&quot;letter-spacing: -.6pt;&quot;&gt; &lt;/span&gt;type&lt;span style=&quot;letter-spacing: -.65pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -.6pt;&quot;&gt; &lt;/span&gt;machine&lt;span style=&quot;letter-spacing: -.65pt;&quot;&gt;
&lt;/span&gt;learning&lt;span style=&quot;letter-spacing: -.6pt;&quot;&gt; &lt;/span&gt;algorithm&lt;span style=&quot;letter-spacing: -.65pt;&quot;&gt; &lt;/span&gt;used&lt;span style=&quot;letter-spacing: -.6pt;&quot;&gt; &lt;/span&gt;to&lt;span style=&quot;letter-spacing: -.65pt;&quot;&gt; &lt;/span&gt;draw&lt;span style=&quot;letter-spacing: -.6pt;&quot;&gt; &lt;/span&gt;inferences&lt;span style=&quot;letter-spacing: -.65pt;&quot;&gt; &lt;/span&gt;from&lt;span style=&quot;letter-spacing: -.6pt;&quot;&gt; &lt;/span&gt;datasets
consisting of input data without labeled 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: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 14.6pt; margin-right: 57.0pt; margin-top: 6.0pt; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: 14.9pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;In unsupervised learning algorithms,
a classification or categorization is not included in the observations.&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;There are no output values and so there is
no estimation of functions.&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;Since the
examples given to the learner are unlabeled, the accuracy of the structure that
is output by the algorithm cannot be evaluated.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 14.6pt; margin-right: 57.0pt; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: 14.9pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;The most common unsupervised
learning method is cluster analysis, which is used for ex- ploratory data
analysis to find hidden patterns or grouping in data.&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 14.6pt; margin-right: 0in; margin-top: 0in; mso-outline-level: 4; mso-pagination: none; text-align: justify; text-autospace: none;&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; letter-spacing: -.1pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Example&lt;/span&gt;&lt;/b&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; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&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: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 39.5pt; margin-right: 57.0pt; margin-top: 7.15pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Consider&lt;span style=&quot;letter-spacing: 1.05pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: 1.05pt;&quot;&gt; &lt;/span&gt;following&lt;span style=&quot;letter-spacing: 1.05pt;&quot;&gt; &lt;/span&gt;data&lt;span style=&quot;letter-spacing: 1.05pt;&quot;&gt; &lt;/span&gt;regarding&lt;span style=&quot;letter-spacing: 1.05pt;&quot;&gt; &lt;/span&gt;patients&lt;span style=&quot;letter-spacing: 1.05pt;&quot;&gt;
&lt;/span&gt;entering&lt;span style=&quot;letter-spacing: 1.05pt;&quot;&gt; &lt;/span&gt;a&lt;span style=&quot;letter-spacing: 1.05pt;&quot;&gt; &lt;/span&gt;clinic.&lt;span style=&quot;letter-spacing: 4.0pt;&quot;&gt;
&lt;/span&gt;The&lt;span style=&quot;letter-spacing: 1.05pt;&quot;&gt; &lt;/span&gt;data&lt;span style=&quot;letter-spacing: 1.05pt;&quot;&gt; &lt;/span&gt;consists&lt;span style=&quot;letter-spacing: 1.05pt;&quot;&gt;
&lt;/span&gt;of&lt;span style=&quot;letter-spacing: 1.05pt;&quot;&gt; &lt;/span&gt;the gender and age of the
patients.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 0in; margin-right: 0in; margin-top: 3.7pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;&lt;table border=&quot;0&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;MsoNormalTable&quot; style=&quot;border-collapse: collapse; margin-left: 192.8pt; mso-padding-alt: 0in 0in 0in 0in; mso-table-layout-alt: fixed; mso-yfti-tbllook: 480;&quot;&gt;
 &lt;tbody&gt;&lt;tr style=&quot;height: 11.85pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;&quot;&gt;
  &lt;td style=&quot;border-left: none; border: solid black 1.0pt; height: 11.85pt; mso-border-bottom-alt: solid black .5pt; mso-border-right-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.25pt;&quot; valign=&quot;top&quot; width=&quot;79&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.1pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;gender&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: none; border-top: solid black 1.0pt; height: 11.85pt; mso-border-bottom-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 25.95pt;&quot; valign=&quot;top&quot; width=&quot;52&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;age&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
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 &lt;/tr&gt;
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  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.5pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;M&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
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  &lt;td style=&quot;border: none; height: 11.05pt; mso-border-left-alt: solid black .5pt; mso-border-top-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 25.95pt;&quot; valign=&quot;top&quot; width=&quot;52&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;48&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
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  &lt;td style=&quot;border-right: solid black 1.0pt; border: none; height: 11.95pt; mso-border-right-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.25pt;&quot; valign=&quot;top&quot; width=&quot;79&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.5pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;M&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: none; height: 11.95pt; mso-border-left-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 25.95pt;&quot; valign=&quot;top&quot; width=&quot;52&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;67&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr style=&quot;height: 11.95pt; mso-yfti-irow: 3;&quot;&gt;
  &lt;td style=&quot;border-right: solid black 1.0pt; border: none; height: 11.95pt; mso-border-right-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.25pt;&quot; valign=&quot;top&quot; width=&quot;79&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.5pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;F&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: none; height: 11.95pt; mso-border-left-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 25.95pt;&quot; valign=&quot;top&quot; width=&quot;52&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;53&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
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  &lt;td style=&quot;border-right: solid black 1.0pt; border: none; height: 11.95pt; mso-border-right-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.25pt;&quot; valign=&quot;top&quot; width=&quot;79&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.5pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;M&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border: none; height: 11.95pt; mso-border-left-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 25.95pt;&quot; valign=&quot;top&quot; width=&quot;52&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;49&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
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  &lt;td style=&quot;border-right: solid black 1.0pt; border: none; height: 11.95pt; mso-border-right-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.25pt;&quot; valign=&quot;top&quot; width=&quot;79&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.5pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;F&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
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  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;34&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
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  &lt;td style=&quot;border-bottom: solid black 1.0pt; border-left: none; border-right: solid black 1.0pt; border-top: none; height: 12.7pt; mso-border-bottom-alt: solid black .5pt; mso-border-right-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 39.25pt;&quot; valign=&quot;top&quot; width=&quot;79&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .05pt; margin-right: 0in; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.5pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;M&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid black 1.0pt; border: none; height: 12.7pt; mso-border-bottom-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; padding: 0in 0in 0in 0in; width: 25.95pt;&quot; valign=&quot;top&quot; width=&quot;52&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.25pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;21&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;
  &lt;/td&gt;
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&lt;/tbody&gt;&lt;/table&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 39.5pt; margin-right: 0in; margin-top: 6.9pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;Based&lt;span style=&quot;letter-spacing: -.3pt;&quot;&gt; &lt;/span&gt;on&lt;span style=&quot;letter-spacing: -.3pt;&quot;&gt; &lt;/span&gt;this&lt;span style=&quot;letter-spacing: -.3pt;&quot;&gt; &lt;/span&gt;data,&lt;span style=&quot;letter-spacing: -.3pt;&quot;&gt; &lt;/span&gt;can&lt;span style=&quot;letter-spacing: -.25pt;&quot;&gt; &lt;/span&gt;we&lt;span style=&quot;letter-spacing: -.3pt;&quot;&gt; &lt;/span&gt;infer&lt;span style=&quot;letter-spacing: -.3pt;&quot;&gt; &lt;/span&gt;anything&lt;span style=&quot;letter-spacing: -.3pt;&quot;&gt; &lt;/span&gt;regarding&lt;span style=&quot;letter-spacing: -.25pt;&quot;&gt;
&lt;/span&gt;the&lt;span style=&quot;letter-spacing: -.3pt;&quot;&gt; &lt;/span&gt;patients&lt;span style=&quot;letter-spacing: -.3pt;&quot;&gt; &lt;/span&gt;entering&lt;span style=&quot;letter-spacing: -.3pt;&quot;&gt;
&lt;/span&gt;the&lt;span style=&quot;letter-spacing: -.25pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -.1pt;&quot;&gt;clinic?&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: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 0in; margin-right: 56.6pt; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;There are two main categories of unsupervised learning that are:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 0in; margin-right: 56.6pt; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoListParagraphCxSpFirst&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 56.6pt; margin-top: 0in; mso-add-space: auto; mso-list: l1 level1 lfo2; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Clustering&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoListParagraphCxSpLast&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 56.6pt; margin-top: 0in; mso-add-space: auto; mso-list: l1 level1 lfo2; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Association&lt;/span&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; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;&lt;p class=&quot;MsoListParagraphCxSpLast&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 57.0pt; margin-top: 10.35pt; mso-add-space: auto; mso-list: l1 level1 lfo3; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;































&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 0in; margin-right: 56.65pt; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 105%;&quot;&gt;In contrast to supervised learning, unsupervised
learning is a branch of machine learning&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;that&lt;span style=&quot;letter-spacing: -.3pt;&quot;&gt; &lt;/span&gt;is&lt;span style=&quot;letter-spacing: -.3pt;&quot;&gt; &lt;/span&gt;concerned&lt;span style=&quot;letter-spacing: -.3pt;&quot;&gt; &lt;/span&gt;with&lt;span style=&quot;letter-spacing: -.35pt;&quot;&gt; &lt;/span&gt;unlabeled
data.&lt;span style=&quot;letter-spacing: 1.2pt;&quot;&gt; &lt;/span&gt;Common&lt;span style=&quot;letter-spacing: -.3pt;&quot;&gt; &lt;/span&gt;tasks&lt;span style=&quot;letter-spacing: -.3pt;&quot;&gt; &lt;/span&gt;in&lt;span style=&quot;letter-spacing: -.3pt;&quot;&gt; &lt;/span&gt;unsupervised&lt;span style=&quot;letter-spacing: -.3pt;&quot;&gt; &lt;/span&gt;learning&lt;span style=&quot;letter-spacing: -.3pt;&quot;&gt; &lt;/span&gt;are&lt;span style=&quot;letter-spacing: -.3pt;&quot;&gt; &lt;/span&gt;clustering analysis&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;(assigning&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;group&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;memberships; Figure&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;&lt;/span&gt;&lt;a href=&quot;file:///D:/machine%20learning/lec%204%20Types%20of%20Machine%20Learning.docx#_bookmark15&quot;&gt;&lt;span style=&quot;color: blue; font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; text-decoration-line: none;&quot;&gt;4&lt;/span&gt;&lt;/a&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 105%;&quot;&gt;)&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;and&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;dimensionality&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;reduction&lt;span style=&quot;letter-spacing: -.05pt;&quot;&gt; &lt;/span&gt;(compressing
data onto a lower-dimensional subspace or manifold).&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&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: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 0in; margin-right: 56.65pt; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&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/AVvXsEisDVEE-gPAJJis8o2xheSGZ77cFstnLRZilgu5-jOHCl0RiElAzR31qjCwwkpNiSdS0DtpZtqOX7KN7tmYvN46jpCP79M8xFZcdDu9SQZ7FRgjufWEOTbA-C2X1fgM5jKirljh3mKiWU2deNi0OEJPeGWoylvZx5PQTKmr60Yw79CZ-9-ABuu-MOFfMmc/s619/8.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;499&quot; data-original-width=&quot;619&quot; height=&quot;258&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEisDVEE-gPAJJis8o2xheSGZ77cFstnLRZilgu5-jOHCl0RiElAzR31qjCwwkpNiSdS0DtpZtqOX7KN7tmYvN46jpCP79M8xFZcdDu9SQZ7FRgjufWEOTbA-C2X1fgM5jKirljh3mKiWU2deNi0OEJPeGWoylvZx5PQTKmr60Yw79CZ-9-ABuu-MOFfMmc/s320/8.png&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 0in; margin-right: 56.55pt; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Figure 4:&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;&lt;/span&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Illustration of clustering, where the dashed lines
indicate potential group membership assignments of unlabeled data points.&lt;span style=&quot;letter-spacing: 1.3pt;&quot;&gt; &lt;/span&gt;(Source: Raschka &amp;amp; Mirjalili: Python
Machine Learning, 3rd &lt;span style=&quot;letter-spacing: -.1pt;&quot;&gt;Ed.).&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 0in; margin-right: 56.55pt; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.1pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 0in; margin-right: 56.55pt; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&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; letter-spacing: -.1pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Advantages
of Unsupervised Machine Learning:-&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpFirst&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 56.55pt; margin-top: 0in; mso-add-space: auto; mso-list: l3 level1 lfo2; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; letter-spacing: -.1pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; mso-font-width: 110%;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.1pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;It helps to discover hidden patterns
and various relationships between the data.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 56.55pt; margin-top: 0in; mso-add-space: auto; mso-list: l3 level1 lfo2; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; letter-spacing: -.1pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; mso-font-width: 110%;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.1pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Used for tasks such as customer
segmentation, anomaly detection, and data exploration.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpLast&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 56.55pt; margin-top: 0in; mso-add-space: auto; mso-list: l3 level1 lfo2; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; letter-spacing: -.1pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; mso-font-width: 110%;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.1pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;It does not require labeled data and
reduces the effort of data labeling.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 0in; margin-right: 56.55pt; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&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; letter-spacing: -.1pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Disadvantages
of Unsupervised Machine Learning:-&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpFirst&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 56.55pt; margin-top: 0in; mso-add-space: auto; mso-list: l0 level1 lfo3; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; letter-spacing: -.1pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; mso-font-width: 110%;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.1pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Without using labels, it may be
difficult to predict the quality of the model’s output.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 56.55pt; margin-top: 0in; mso-add-space: auto; mso-list: l0 level1 lfo3; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; letter-spacing: -.1pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; mso-font-width: 110%;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.1pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Cluster Interpretability may not be
clear and may not have meaningful interpretations.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpLast&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: 56.55pt; margin-top: 0in; mso-add-space: auto; mso-list: l0 level1 lfo3; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; letter-spacing: -.1pt; line-height: 150%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol; mso-font-width: 110%;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.1pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;It has techniques such as
autoencoders and dimensionality reduction that can be used to extract
meaningful features from 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: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 0in; margin-right: 56.55pt; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&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; letter-spacing: -.1pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Applications
of Unsupervised Learning:-&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: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 0in; margin-right: 56.55pt; margin-top: 0in; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; letter-spacing: -.1pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Here are some common
applications of unsupervised learning:&lt;/span&gt;&lt;/p&gt;

&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li&gt;Clustering: Group similar data points into clusters.&lt;/li&gt;&lt;li&gt;&amp;nbsp;Anomaly detection: Identify outliers or anomalies in data.&lt;/li&gt;&lt;li&gt;Dimensionality reduction: Reduce the dimensionality of data while preserving its essential information.&lt;/li&gt;&lt;li&gt;Recommendation systems: Suggest products, movies, or content to users based on their historical behavior or preferences.&lt;/li&gt;&lt;li&gt;Topic modeling: Discover latent topics within a collection of documents.&lt;/li&gt;&lt;li&gt;Density estimation: Estimate the probability density function of data.Image and video compression: Reduce the amount of storage required for multimedia content.&lt;/li&gt;&lt;li&gt;Data preprocessing: Help with data preprocessing tasks such as data cleaning, imputation of missing values, and data scaling.&lt;/li&gt;&lt;li&gt;Market basket analysis: Discover associations between products.&lt;/li&gt;&lt;li&gt;Genomic data analysis: Identify patterns or group genes with similar expression profiles.&lt;/li&gt;&lt;li&gt;Image segmentation: Segment images into meaningful regions.&lt;/li&gt;&lt;li&gt;Community detection in social networks: Identify communities or groups of individuals with similar interests or connections.&lt;/li&gt;&lt;li&gt;Customer behavior analysis: Uncover patterns and insights for better marketing and product recommendations.&lt;/li&gt;&lt;li&gt;Content recommendation: Classify and tag content to make it easier to recommend similar items to users.&lt;/li&gt;&lt;li&gt;Exploratory data analysis (EDA): Explore data and gain insights before defining specific tasks.&amp;nbsp;&lt;/li&gt;&lt;/ul&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .25in; margin-right: 0in; margin-top: 4.0pt; mso-add-space: auto; mso-list: l2 level1 lfo1; mso-outline-level: 3; mso-pagination: none; tab-stops: 35.0pt; text-align: justify; text-autospace: none; text-indent: -.25in;&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: 14.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;3.&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; font-weight: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;!--[endif]--&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14.0pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 115%;&quot;&gt;Reinforcement&lt;/span&gt;&lt;/b&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14.0pt; letter-spacing: 2.3pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 120%;&quot;&gt; &lt;/span&gt;&lt;/b&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14.0pt; letter-spacing: -.1pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 120%;&quot;&gt;learning:-&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .25in; margin-right: 0in; margin-top: 4.0pt; mso-add-space: auto; mso-list: l2 level1 lfo1; mso-outline-level: 3; mso-pagination: none; tab-stops: 35.0pt; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;Reinforcement&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 1.85pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;is&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 1.85pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;the&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 1.85pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;process&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 1.85pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;of&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 1.85pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;learning&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 1.85pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;from&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 1.85pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;rewards&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 1.85pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;while&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 1.85pt;&quot;&gt;
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&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;really&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 2pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;is its&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 1.7pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;own&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 1.7pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;category&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 1.7pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;of&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 1.7pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;machine&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 1.7pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;learning.&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 2pt;&quot;&gt;
&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;Reinforcement&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 1.7pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;learning&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 1.7pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;will&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 1.7pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;not&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 1.7pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;be&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 1.7pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;covered&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 1.7pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;further&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 1.7pt;&quot;&gt;
&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;in this&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;class. However,&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;for&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;those&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;who&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;are&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;interested,&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;Dr. Mirjalili&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;and&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;I&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;wrote&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;an&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;introduction to reinforcement learning for
the 3rd edition of “Python Machine Learning.”&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .25in; margin-right: 0in; margin-top: 4.0pt; mso-add-space: auto; mso-list: l2 level1 lfo1; mso-outline-level: 3; mso-pagination: none; tab-stops: 35.0pt; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;Typical applications of reinforcement learning involve playing games
(chess, Go, Atari video games)&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 2pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;and&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 2pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;some&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 2pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;form&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 2pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;of&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 2pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;robots,&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 2pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;e.g.,&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 2pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;drones,&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 2pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;warehouse&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 2pt;&quot;&gt;
&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;robots,&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 2pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;and&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 2pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;more&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 2pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;recently&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 2pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;self- driving cars.&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .25in; margin-right: 0in; margin-top: 4.0pt; mso-add-space: auto; mso-list: l2 level1 lfo1; mso-outline-level: 3; mso-pagination: none; tab-stops: 35.0pt; text-align: justify; text-autospace: none; text-indent: -.25in;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;Example:&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin: 6.35pt 0in 0.0001pt 56.5pt; text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Consider teaching a dog a new trick: we cannot tell it what to do, but
we can reward/punish it if it does the right/wrong thing. It has to find out
what it did that made it get the reward/punishment. We can use a similar method
to train computers to do many tasks, such as playing backgammon or chess,
scheduling jobs, and controlling robot limbs. Reinforcement learning is
different from supervised learning. Supervised learning is learning from
examples provided by a knowledgeable expert.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&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/b/R29vZ2xl/AVvXsEizcjD7FW-KhIVr6kmGgdDhyphenhyphenuN8SxkBWjdeiJ63E7N5c9pmtM5FsPcbCpoI-0ZmgDz8QMhsIfGkTaLTWRyrZOFtZCoODKgVYacXqK_i3fLj-uNVbL17kmO7CJf8tAXOt0Xh9D9zhW1QFA2zH2vswLmGW6D6-WitUuNnlfee2myNxoBYkHix_dKBkaZ1t_M/s430/9.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;225&quot; data-original-width=&quot;430&quot; height=&quot;167&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEizcjD7FW-KhIVr6kmGgdDhyphenhyphenuN8SxkBWjdeiJ63E7N5c9pmtM5FsPcbCpoI-0ZmgDz8QMhsIfGkTaLTWRyrZOFtZCoODKgVYacXqK_i3fLj-uNVbL17kmO7CJf8tAXOt0Xh9D9zhW1QFA2zH2vswLmGW6D6-WitUuNnlfee2myNxoBYkHix_dKBkaZ1t_M/s320/9.png&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;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin: 9.5pt 0in 0.0001pt 56.5pt; text-align: justify;&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Figure 5:&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;&lt;/span&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Illustration of reinforcement learning (Source:
Raschka &amp;amp; Mirjalili: Python Machine Learning, 3rd Ed.).&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin: 9.5pt 0in 0.0001pt 56.5pt; text-align: justify;&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Advantages of Reinforcement Machine Learning&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;ul style=&quot;margin-top: 0in;&quot; type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0.0001pt; margin-left: 56.5pt; margin-top: 9.5pt; text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;It has autonomous
     decision-making that is well-suited for tasks and that can learn to make a
     sequence of decisions, like robotics and game-playing.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;ul style=&quot;margin-top: 0in;&quot; type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0.0001pt; margin-left: 56.5pt; margin-top: 9.5pt; text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;This technique is
     preferred to achieve long-term results that are very difficult to achieve.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;ul style=&quot;margin-top: 0in;&quot; type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0.0001pt; margin-left: 56.5pt; margin-top: 9.5pt; text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;It is used to solve a
     complex problems that cannot be solved by conventional techniques.&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: 150%; margin: 9.5pt 0in 0.0001pt 56.5pt; text-align: justify;&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Disadvantages of Reinforcement Machine Learning&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;ul style=&quot;margin-top: 0in;&quot; type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0.0001pt; margin-left: 56.5pt; margin-top: 9.5pt; text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Training
     Reinforcement Learning agents can be computationally expensive and
     time-consuming.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;ul style=&quot;margin-top: 0in;&quot; type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0.0001pt; margin-left: 56.5pt; margin-top: 9.5pt; text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Reinforcement
     learning is not preferable to solving simple problems.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;ul style=&quot;margin-top: 0in;&quot; type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0.0001pt; margin-left: 56.5pt; margin-top: 9.5pt; text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;It needs a lot of
     data and a lot of computation, which makes it impractical and costly.&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: 150%; margin: 9.5pt 0in 0.0001pt 56.5pt; text-align: justify;&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Applications of Reinforcement Machine Learning&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: 150%; margin: 9.5pt 0in 0.0001pt 56.5pt; text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Here are some applications of reinforcement
learning:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;ul style=&quot;margin-top: 0in;&quot; type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0.0001pt; margin-left: 56.5pt; margin-top: 9.5pt; text-align: justify;&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Game Playing&lt;/span&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;: RL can teach agents
     to play games, even complex ones.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;ul style=&quot;margin-top: 0in;&quot; type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0.0001pt; margin-left: 56.5pt; margin-top: 9.5pt; text-align: justify;&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Robotics&lt;/span&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;: RL can teach robots
     to perform tasks autonomously.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;ul style=&quot;margin-top: 0in;&quot; type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0.0001pt; margin-left: 56.5pt; margin-top: 9.5pt; text-align: justify;&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Autonomous Vehicles&lt;/span&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;: RL can help
     self-driving cars navigate and make decisions.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;ul style=&quot;margin-top: 0in;&quot; type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0.0001pt; margin-left: 56.5pt; margin-top: 9.5pt; text-align: justify;&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Recommendation
     Systems&lt;/span&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;: RL can enhance recommendation algorithms by
     learning user preferences.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;ul style=&quot;margin-top: 0in;&quot; type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0.0001pt; margin-left: 56.5pt; margin-top: 9.5pt; text-align: justify;&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Healthcare&lt;/span&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;: RL can be used to
     optimize treatment plans and drug discovery.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;ul style=&quot;margin-top: 0in;&quot; type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0.0001pt; margin-left: 56.5pt; margin-top: 9.5pt; text-align: justify;&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Natural Language
     Processing (NLP)&lt;/span&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;: RL can be used in dialogue systems and chatbots.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;ul style=&quot;margin-top: 0in;&quot; type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0.0001pt; margin-left: 56.5pt; margin-top: 9.5pt; text-align: justify;&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Finance and Trading&lt;/span&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;: RL can be used for
     algorithmic trading.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;ul style=&quot;margin-top: 0in;&quot; type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0.0001pt; margin-left: 56.5pt; margin-top: 9.5pt; text-align: justify;&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Supply Chain and
     Inventory Management&lt;/span&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;: RL can be used to optimize supply chain operations.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;ul style=&quot;margin-top: 0in;&quot; type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0.0001pt; margin-left: 56.5pt; margin-top: 9.5pt; text-align: justify;&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Energy Management&lt;/span&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;: RL can be used to
     optimize energy consumption.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;ul style=&quot;margin-top: 0in;&quot; type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0.0001pt; margin-left: 56.5pt; margin-top: 9.5pt; text-align: justify;&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Game AI&lt;/span&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;: RL can be used to
     create more intelligent and adaptive NPCs in video games.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;ul style=&quot;margin-top: 0in;&quot; type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0.0001pt; margin-left: 56.5pt; margin-top: 9.5pt; text-align: justify;&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Adaptive Personal
     Assistants&lt;/span&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;: RL can be used to improve personal assistants.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;ul style=&quot;margin-top: 0in;&quot; type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0.0001pt; margin-left: 56.5pt; margin-top: 9.5pt; text-align: justify;&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Virtual Reality (VR)
     and Augmented Reality (AR):&lt;/span&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;&amp;nbsp;RL can be used to create immersive and
     interactive experiences.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;ul style=&quot;margin-top: 0in;&quot; type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0.0001pt; margin-left: 56.5pt; margin-top: 9.5pt; text-align: justify;&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Industrial Control&lt;/span&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;: RL can be used to
     optimize industrial processes.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;ul style=&quot;margin-top: 0in;&quot; type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0.0001pt; margin-left: 56.5pt; margin-top: 9.5pt; text-align: justify;&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Education&lt;/span&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;: RL can be used to
     create adaptive learning systems.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;

&lt;ul style=&quot;margin-top: 0in;&quot; type=&quot;disc&quot;&gt;
 &lt;li class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0.0001pt; margin-left: 56.5pt; margin-top: 9.5pt; text-align: justify;&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;Agriculture&lt;/span&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; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 110%;&quot;&gt;: RL can be used to
     optimize agricultural operations.&lt;/span&gt;&amp;nbsp;&lt;/li&gt;&lt;/ul&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .25in; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l2 level1 lfo1; mso-outline-level: 3; mso-pagination: none; tab-stops: 35.0pt; text-align: justify; text-autospace: none; text-indent: -.25in;&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: 14.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;4.&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; font-weight: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;!--[endif]--&gt;&lt;b&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14.0pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 115%;&quot;&gt;Semi-supervised&lt;span style=&quot;letter-spacing: 3.25pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -.1pt;&quot;&gt;learning:-&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin: 0in 0in 0.0001pt 56.55pt; text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri; mso-font-width: 105%;&quot;&gt;Loosely&lt;span style=&quot;letter-spacing: -.55pt;&quot;&gt; &lt;/span&gt;speaking,&lt;span style=&quot;letter-spacing: -.4pt;&quot;&gt; &lt;/span&gt;semi-supervised&lt;span style=&quot;letter-spacing: -.55pt;&quot;&gt; &lt;/span&gt;learning&lt;span style=&quot;letter-spacing: -.55pt;&quot;&gt; &lt;/span&gt;can&lt;span style=&quot;letter-spacing: -.55pt;&quot;&gt; &lt;/span&gt;be&lt;span style=&quot;letter-spacing: -.55pt;&quot;&gt; &lt;/span&gt;described&lt;span style=&quot;letter-spacing: -.55pt;&quot;&gt; &lt;/span&gt;as&lt;span style=&quot;letter-spacing: -.55pt;&quot;&gt; &lt;/span&gt;a&lt;span style=&quot;letter-spacing: -.55pt;&quot;&gt; &lt;/span&gt;mix&lt;span style=&quot;letter-spacing: -.55pt;&quot;&gt; &lt;/span&gt;between&lt;span style=&quot;letter-spacing: -.55pt;&quot;&gt; &lt;/span&gt;supervised&lt;span style=&quot;letter-spacing: -.55pt;&quot;&gt; &lt;/span&gt;and unsupervised learning.&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;In
semi-supervised learning tasks, some training examples contain outputs, but
some do not.&lt;span style=&quot;letter-spacing: 2.0pt;&quot;&gt; &lt;/span&gt;We then use the labeled
training subset to label the unlabeled portion of the training set, which we
then also utilize for model training.&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&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;/div&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 14.6pt; margin-right: 0in; margin-top: 9.9pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='https://salutionteach.blogspot.com/feeds/7902017171588752314/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='https://salutionteach.blogspot.com/2025/04/types-of-machine-learning.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/7902017171588752314'/><link rel='self' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/7902017171588752314'/><link rel='alternate' type='text/html' href='https://salutionteach.blogspot.com/2025/04/types-of-machine-learning.html' title='Types of Machine Learning'/><author><name>salutionteach</name><uri>http://www.blogger.com/profile/15753843071083819831</uri><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/AVvXsEiz6_i_BsIpudASzjMMiNXBKVtrmQYlKhSJ2eZo6LADxjQRmK3-MX48JauMVoLUIiUESPKkJgt6YHxrAB151EEFXuzbXEk6Enq_PZ3DZzPAgNQL4rR0AAMqp1I19hyphenhyphent7WRUaoeGRHP99JmM7I7n8zMoMb5ucQwLYyHFYv5kQ3qQ4gZq3bgL-AIWPsKL_GQ/s72-w400-h240-c/4.png" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-8766011798057583516.post-4865028729548435080</id><published>2025-04-15T00:49:00.000-07:00</published><updated>2025-04-15T00:49:54.386-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="choosing model"/><category scheme="http://www.blogger.com/atom/ns#" term="data collection"/><category scheme="http://www.blogger.com/atom/ns#" term="data preparation"/><category scheme="http://www.blogger.com/atom/ns#" term="Evaluation"/><category scheme="http://www.blogger.com/atom/ns#" term="features"/><category scheme="http://www.blogger.com/atom/ns#" term="label"/><category scheme="http://www.blogger.com/atom/ns#" term="ML model"/><category scheme="http://www.blogger.com/atom/ns#" term="parameter tuning"/><category scheme="http://www.blogger.com/atom/ns#" term="train"/><title type='text'>Machine Learning Model</title><content type='html'>&lt;p&gt;&amp;nbsp;&lt;b&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;Machine Learning key terms that you
must know!&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;b style=&quot;mso-bidi-font-weight: normal;&quot;&gt;Features:&lt;o:p&gt;&lt;/o:p&gt;&lt;/b&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;• Features are the
fields used as input.&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&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;margin-left: .5in;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;• A feature is one column of the data in your input set. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;• For instance, if you&#39;re trying to predict the type of pet
someone will choose, your input features might include age, home region, family
income, etc. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;• Feature means property of your training data. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;• A feature is the input you have fed to the model or system.
&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;• The value of x variable in simple linear regression are the
features.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;b style=&quot;mso-bidi-font-weight: normal;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;Label:&lt;/span&gt;&lt;/b&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;• The output you get from your model after training is called
a label. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;• A label is the thing we&#39;re predicting. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;• For example the value of y variable in simple linear
regression model is the label. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;• Suppose you give your model data like a person’s age,
height, hair length and then your model predicts whether the person is male or
female. Then male or female is called the label.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&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/AVvXsEigdCbVBXm-uBDV6ZSwOPL-cwQGvG5Fv9QhE4M-0xgKYqkLEfc0yvQnSzIJVul98M7XZmLIdQdkSQU_kDNklt4DWaRrEkbpQRjZdoCmyDtDm4NnivikYiQDjrRFLFI4PB05hcj8HeRWVFITCA-C3fc2kNlYG5K-b22UdeqQfn37T-JgrWxCE4qJRnfpdow/s754/3.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;426&quot; data-original-width=&quot;754&quot; height=&quot;226&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEigdCbVBXm-uBDV6ZSwOPL-cwQGvG5Fv9QhE4M-0xgKYqkLEfc0yvQnSzIJVul98M7XZmLIdQdkSQU_kDNklt4DWaRrEkbpQRjZdoCmyDtDm4NnivikYiQDjrRFLFI4PB05hcj8HeRWVFITCA-C3fc2kNlYG5K-b22UdeqQfn37T-JgrWxCE4qJRnfpdow/w400-h226/3.png&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;&lt;/p&gt;&lt;h3 style=&quot;text-align: left;&quot;&gt;Machine Learning Model:&lt;/h3&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;• A model is
the relationship between features and the label. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;• An ML
model is a mathematical model that generates predictions by finding patterns in
your data.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;• ML Models
generate predictions using the patterns extracted from the input data. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;• A model
represents what was learned by a machine learning algorithm. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;• The model
is the “thing” that is saved after running a machine learning algorithm on
training data and represents the rules, numbers, and any other
algorithm-specific data structures required to make predictions.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&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/AVvXsEiUOmMesHkBd5uyLcuMjZZ0gJKi6ZLXt1rH7jwlOk_OhbS6NRgqevq1jUprCYep67FJMj0cms1QBpezVyLDxsJfOs2y8PzdFCUlL7MGzaD6xeCTAX8KNsEe3lNkAgRbUxwQ_rYZGVnbSG0le17EE7ouRG1MIUqsE6RQBPfb4VQzrSOqzjH65F-eBw-VreI/s1531/Screenshot%202025-03-06%20235326.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;433&quot; data-original-width=&quot;1531&quot; height=&quot;114&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiUOmMesHkBd5uyLcuMjZZ0gJKi6ZLXt1rH7jwlOk_OhbS6NRgqevq1jUprCYep67FJMj0cms1QBpezVyLDxsJfOs2y8PzdFCUlL7MGzaD6xeCTAX8KNsEe3lNkAgRbUxwQ_rYZGVnbSG0le17EE7ouRG1MIUqsE6RQBPfb4VQzrSOqzjH65F-eBw-VreI/w400-h114/Screenshot%202025-03-06%20235326.png&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;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj__D7411WEnX5wA8_OFcqX-VKAygyuZ5SkAHxUMF-5KQWxpmy9RpF9aeyM42hkufLzdcUB_W_TnG1TsR_AKiOM1qsKpPqgWKCO5axZvw6LM-bXE-fe-2K7DE8Ns9mOfuZLuUz8zlpmrSxQf6h5yoydyq00Ls5zllq3Byqr9EbkvPrdBvyI1q_UEFB2GSo/s1555/Screenshot%202025-03-06%20235607.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;625&quot; data-original-width=&quot;1555&quot; height=&quot;258&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj__D7411WEnX5wA8_OFcqX-VKAygyuZ5SkAHxUMF-5KQWxpmy9RpF9aeyM42hkufLzdcUB_W_TnG1TsR_AKiOM1qsKpPqgWKCO5axZvw6LM-bXE-fe-2K7DE8Ns9mOfuZLuUz8zlpmrSxQf6h5yoydyq00Ls5zllq3Byqr9EbkvPrdBvyI1q_UEFB2GSo/w640-h258/Screenshot%202025-03-06%20235607.png&quot; width=&quot;640&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;&lt;/p&gt;&lt;p class=&quot;MsoListParagraph&quot; style=&quot;margin-left: .25in; mso-add-space: auto; mso-list: l1 level1 lfo1; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;b&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;1.&lt;span style=&quot;font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; font-weight: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;!--[endif]--&gt;&lt;b&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;Data collection:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;&amp;nbsp;Data collection is the process of gathering
and measuring information from countless different sources. This is a critical
first step that involves gathering data from various sources such as databases,
files, and external repositories. Before starting the data collection process,
it’s important to articulate the problem you want to solve with an ML model.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;margin-left: .25in; mso-add-space: auto; mso-list: l1 level1 lfo1; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;b&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;2.&lt;span style=&quot;font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; font-weight: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;!--[endif]--&gt;&lt;b&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;Data Preparation:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;&amp;nbsp;Data preparation/pre-processing techniques
generally refer to the addition, deletion, or transformation of training set
data. Since the collected data may be in an undesired format, unorganized, or
extremely large, further steps are needed to enhance its quality. The three
common steps for preprocessing data are &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpFirst&quot; style=&quot;mso-list: l2 level1 lfo2; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;formatting, &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;mso-list: l2 level1 lfo2; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;cleaning, &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpLast&quot; style=&quot;mso-list: l2 level1 lfo2; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;and sampling. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;Data
preparation (also referred to as “data preprocessing”) is the process of
transforming raw data so that data scientists and analysts can run it through
machine learning algorithms to uncover insights or make predictions.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;margin-left: .25in; mso-add-space: auto; mso-list: l1 level1 lfo1; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;b&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;3.&lt;span style=&quot;font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; font-weight: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;!--[endif]--&gt;&lt;b&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;Choose a ML model:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;&amp;nbsp;For different purpose, different ML models are
available. So it depends on the need that which ML model must be selected. The
choice of ML model to be selected depends on many factors like the problem
statement and the kind of output you want, type and size of the data, the
available computational time, number of features, and observations in the data,
etc.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;margin-left: .25in; mso-add-space: auto; mso-list: l1 level1 lfo1; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;b&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;4.&lt;span style=&quot;font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; font-weight: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;!--[endif]--&gt;&lt;b&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;Train the model:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;&amp;nbsp;The process of training an ML model involves
providing an ML algorithm (that is, the learning algorithm) with training data
to learn from. Let&#39;s say that you want to train an ML model to predict if an
email is spam or not spam. You would provide ML model with training data that
contains emails for which you know the target (that is, a label that tells
whether an email is spam or not spam). Then the model should be trained by
using this data, resulting in a model that attempts to predict whether new
email will be spam or not spam.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;margin-left: .25in; mso-add-space: auto; mso-list: l1 level1 lfo1; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;b&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;5.&lt;span style=&quot;font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; font-weight: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;!--[endif]--&gt;&lt;b&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;Evaluate the model: &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;Model
evaluation is a method of assessing the correctness of models on test data. The
test data consists of data points that have not been seen by the model before.
There are two methods of evaluating models in data science, Hold-Out and
Cross-Validation. To avoid overfitting, both methods use a test set (not seen
by the model) to evaluate model performance.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;margin-left: .25in; mso-add-space: auto; mso-list: l1 level1 lfo1; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;b&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;6.&lt;span style=&quot;font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; font-weight: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;!--[endif]--&gt;&lt;b&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;Parameter Tuning:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;Each model has
its own sets of parameters that need to be tuned to get optimal output. For
every model, our goal is to minimize the error or say to have predictions as
close as possible to actual values. This is one of the cores or say the major
objective of hyperparameter tuning. There are following three approaches to
Hyperparameter tuning:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;•Manual
Search &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;•Random
Search &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;•Grid Search&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;margin-left: .25in; mso-add-space: auto; mso-list: l1 level1 lfo1; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;b&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;7.&lt;span style=&quot;font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; font-weight: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;!--[endif]--&gt;&lt;b&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;Make predictions: &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;&amp;nbsp;“Prediction” refers to the output of an
algorithm after it has been trained on a historical dataset. Machine learning
has two main goals:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;margin-left: 38.45pt; mso-add-space: auto; mso-list: l0 level1 lfo3; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;·&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;prediction and inference. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%;&quot;&gt;After you
have a model, you can use that model to generate predictions which means to
give your model the inputs it has never seen before and obtain the answer the
model has predicted. In addition to making predictions on new data, you can use
machine-learning models to better understand the relationships between the
input features and the output target which is known as inference.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&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;</content><link rel='replies' type='application/atom+xml' href='https://salutionteach.blogspot.com/feeds/4865028729548435080/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='https://salutionteach.blogspot.com/2025/04/machine-learning-model.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/4865028729548435080'/><link rel='self' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/4865028729548435080'/><link rel='alternate' type='text/html' href='https://salutionteach.blogspot.com/2025/04/machine-learning-model.html' title='Machine Learning Model'/><author><name>salutionteach</name><uri>http://www.blogger.com/profile/15753843071083819831</uri><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/AVvXsEigdCbVBXm-uBDV6ZSwOPL-cwQGvG5Fv9QhE4M-0xgKYqkLEfc0yvQnSzIJVul98M7XZmLIdQdkSQU_kDNklt4DWaRrEkbpQRjZdoCmyDtDm4NnivikYiQDjrRFLFI4PB05hcj8HeRWVFITCA-C3fc2kNlYG5K-b22UdeqQfn37T-JgrWxCE4qJRnfpdow/s72-w400-h226-c/3.png" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-8766011798057583516.post-6606236314564785158</id><published>2025-04-15T00:31:00.000-07:00</published><updated>2025-04-15T00:40:04.017-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="data"/><category scheme="http://www.blogger.com/atom/ns#" term="examples"/><category scheme="http://www.blogger.com/atom/ns#" term="features"/><category scheme="http://www.blogger.com/atom/ns#" term="form of data"/><category scheme="http://www.blogger.com/atom/ns#" term="Understanding data"/><title type='text'>Understanding data</title><content type='html'>&lt;p&gt;&amp;nbsp;&lt;b&gt;&lt;span style=&quot;font-size: 22.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;Understanding data&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;Since an important component of the machine
learning process is data storage, we briefly consider in this section the
different types and forms of data that are encountered in the machine learning
process.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;mso-list: l0 level1 lfo1; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;b style=&quot;mso-bidi-font-weight: normal;&quot;&gt;&lt;span style=&quot;font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;1.&lt;span style=&quot;font: 7.0pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;!--[endif]--&gt;&lt;b style=&quot;mso-bidi-font-weight: normal;&quot;&gt;&lt;span style=&quot;font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;Unit of observation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;By a unit of observation we mean the smallest
entity with measured properties of interest for a study.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;b style=&quot;mso-bidi-font-weight: normal;&quot;&gt;Examples&lt;o:p&gt;&lt;/o:p&gt;&lt;/b&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpFirst&quot; style=&quot;line-height: 200%; margin-left: 24.0pt; mso-add-space: auto; mso-list: l2 level1 lfo2; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 200%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7.0pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 200%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;A person, an object or a thing&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;line-height: 200%; margin-left: 24.0pt; mso-add-space: auto; mso-list: l2 level1 lfo2; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 200%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7.0pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 200%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;A time point&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpMiddle&quot; style=&quot;line-height: 200%; margin-left: 24.0pt; mso-add-space: auto; mso-list: l2 level1 lfo2; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 200%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7.0pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 200%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;A geographic region&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraphCxSpLast&quot; style=&quot;line-height: 200%; margin-left: 24.0pt; mso-add-space: auto; mso-list: l2 level1 lfo2; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 200%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7.0pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 200%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;A measurement&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;Sometimes, units of observation are combined
to form units such as person-years.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;mso-list: l0 level1 lfo1; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;b style=&quot;mso-bidi-font-weight: normal;&quot;&gt;&lt;span style=&quot;font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;2.&lt;span style=&quot;font: 7.0pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;!--[endif]--&gt;&lt;b style=&quot;mso-bidi-font-weight: normal;&quot;&gt;&lt;span style=&quot;font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;Examples and features&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;Datasets that store the units of observation
and their properties can be imagined as collections of data consisting of the
following:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;margin-left: 39.0pt; mso-add-space: auto; mso-list: l1 level1 lfo3; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;·&lt;span style=&quot;font: 7.0pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;b style=&quot;mso-bidi-font-weight: normal;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;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;margin-left: .5in;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;An
“example” is an instance of the unit of observation for which properties have
been recorded.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: 3.0pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;An
“example” is also referred to as an “instance”, or “case” or “record.” (It may
be noted that&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: 3.0pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;the
word “example” has been used here in a technical sense.)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoListParagraph&quot; style=&quot;margin-left: 39.0pt; mso-add-space: auto; mso-list: l1 level1 lfo3; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Symbol; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;·&lt;span style=&quot;font: 7.0pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;b style=&quot;mso-bidi-font-weight: normal;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;Features&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;margin-left: .5in;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;A
“feature” is a recorded property or a characteristic of examples. It is also
referred to as&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: 3.0pt;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;“attribute”,
or “variable” or “feature.”&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: 3.0pt;&quot;&gt;&lt;b style=&quot;mso-bidi-font-weight: normal;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;Examples for “examples” and “features”&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;b style=&quot;mso-bidi-font-weight: normal;&quot;&gt;1.
Cancer detection&lt;o:p&gt;&lt;/o:p&gt;&lt;/b&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;Consider the problem of developing an
algorithm for detecting cancer. In this study we note&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;the following.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;(a) The units of observation are the patients.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;(b) The examples are members of a sample of
cancer patients.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;(c) The following attributes of the patients
may be chosen as the features:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;• gender&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;• age&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;• blood pressure&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;• the findings of the pathology report after a
biopsy&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;b style=&quot;mso-bidi-font-weight: normal;&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;2. Pet
selection&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;Suppose we want to predict the type of pet a
person will choose.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;(a) The units are the persons.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;(b) The examples are members of a sample of
persons who own pets.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;(c) The features might include age,
home region, family income, etc. of persons who own&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp;&lt;/span&gt;pets.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;span style=&quot;color: black;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjEmnDzJI3PAYLUsXTwhX2i3-5xPwaECiCbzG4JHv2Cn6C7kFdeITDZ8opCWYKKF2TGejMXny2Jyomis6cU5iTGGCKZhR3eDCEsWD1c-wwOYvb-CeM_wPul5x3q5__LAkPA3_96kAmLgBQBJhYHOe0Qo93i2yYP9fK51aUjtYaRUHLxNCUNM4zZkgVm5WI/s796/2.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;333&quot; data-original-width=&quot;796&quot; height=&quot;267&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjEmnDzJI3PAYLUsXTwhX2i3-5xPwaECiCbzG4JHv2Cn6C7kFdeITDZ8opCWYKKF2TGejMXny2Jyomis6cU5iTGGCKZhR3eDCEsWD1c-wwOYvb-CeM_wPul5x3q5__LAkPA3_96kAmLgBQBJhYHOe0Qo93i2yYP9fK51aUjtYaRUHLxNCUNM4zZkgVm5WI/w640-h267/2.png&quot; width=&quot;640&quot; /&gt;&lt;/a&gt;&lt;span style=&quot;text-align: left;&quot;&gt;Figure 1: &amp;nbsp;&lt;/span&gt;&lt;span style=&quot;text-align: left;&quot;&gt;Example for
“examples” and “features” collected in a matrix format (data relates to
automobiles and their features)&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;p&gt;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&amp;nbsp;3. Spam
e-mail&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&amp;nbsp;Let it be required to build a learning
algorithm to identify spam e-mail.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&amp;nbsp;(a) The unit of observation could be an e-mail
message.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&amp;nbsp;(b) The examples would be specific messages.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&amp;nbsp;(c) The features might consist of the words
used in the messages.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&amp;nbsp;Examples and features are generally collected
in a “matrix format”. Fig. 1: shows such a dataset.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;h2 style=&quot;margin-left: .5in; mso-list: l0 level1 lfo1; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: Calibri, &amp;quot;sans-serif&amp;quot;; font-size: 14pt; line-height: 115%;&quot;&gt;1.&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; font-weight: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: Calibri, &amp;quot;sans-serif&amp;quot;; font-size: 14pt; line-height: 115%;&quot;&gt;Different forms
of data&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/h2&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&amp;nbsp;&lt;b&gt;1.
Numeric data&lt;o:p&gt;&lt;/o:p&gt;&lt;/b&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&amp;nbsp;If a feature represents a characteristic
measured in numbers, it is called a numeric feature.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&amp;nbsp;2.
Categorical or nominal&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&amp;nbsp;A categorical feature is an attribute that can
take on one of a limited, and usually fixed, number of possible values on the
basis of some qualitative property. A categorical feature is also called a
nominal feature.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&amp;nbsp;&lt;b&gt;3.
Ordinal data&lt;o:p&gt;&lt;/o:p&gt;&lt;/b&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&amp;nbsp;This denotes a nominal variable with
categories falling in an ordered list. Examples include clothing sizes such as
small, medium, and large, or a measurement of customer satisfaction on a scale
from “not at all happy” to “very happy.”&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&amp;nbsp;Examples&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&amp;nbsp;In the data given in Fig.1, the features
“year”, “price” and “mileage” are numeric and the features “model”, “color” and
“transmission” are categorical.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;&lt;/div&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;br /&gt;&lt;span style=&quot;font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='https://salutionteach.blogspot.com/feeds/6606236314564785158/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='https://salutionteach.blogspot.com/2025/04/understanding-data.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/6606236314564785158'/><link rel='self' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/6606236314564785158'/><link rel='alternate' type='text/html' href='https://salutionteach.blogspot.com/2025/04/understanding-data.html' title='Understanding data'/><author><name>salutionteach</name><uri>http://www.blogger.com/profile/15753843071083819831</uri><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/AVvXsEjEmnDzJI3PAYLUsXTwhX2i3-5xPwaECiCbzG4JHv2Cn6C7kFdeITDZ8opCWYKKF2TGejMXny2Jyomis6cU5iTGGCKZhR3eDCEsWD1c-wwOYvb-CeM_wPul5x3q5__LAkPA3_96kAmLgBQBJhYHOe0Qo93i2yYP9fK51aUjtYaRUHLxNCUNM4zZkgVm5WI/s72-w640-h267-c/2.png" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-8766011798057583516.post-434784635268846</id><published>2025-04-15T00:24:00.000-07:00</published><updated>2025-04-15T00:24:28.195-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Abstraction"/><category scheme="http://www.blogger.com/atom/ns#" term="components of learning"/><category scheme="http://www.blogger.com/atom/ns#" term="data storage"/><category scheme="http://www.blogger.com/atom/ns#" term="Evaluation"/><category scheme="http://www.blogger.com/atom/ns#" term="Generalization"/><category scheme="http://www.blogger.com/atom/ns#" term="Learning"/><title type='text'>Learning</title><content type='html'>&lt;h3 style=&quot;text-align: left;&quot;&gt;Definition of learning:&lt;/h3&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin: 0in 0in 0.0001pt 46pt; text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.1pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;&lt;b&gt;Definition:&lt;/b&gt;&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&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: 150%; margin: 0in 62.85pt 0.0001pt 46pt; text-align: justify; text-indent: 0.5in;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;A&lt;span style=&quot;letter-spacing: -0.05pt;&quot;&gt; &lt;/span&gt;computer&lt;span style=&quot;letter-spacing: -0.05pt;&quot;&gt; &lt;/span&gt;program is&lt;span style=&quot;letter-spacing: -0.05pt;&quot;&gt; &lt;/span&gt;said&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;to learn&lt;span style=&quot;letter-spacing: -0.05pt;&quot;&gt; &lt;/span&gt;from experience&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;E&lt;span style=&quot;letter-spacing: -0.05pt;&quot;&gt; &lt;/span&gt;with&lt;span style=&quot;letter-spacing: -0.05pt;&quot;&gt; &lt;/span&gt;respect&lt;span style=&quot;letter-spacing: -0.05pt;&quot;&gt;
&lt;/span&gt;to some&lt;span style=&quot;letter-spacing: -0.05pt;&quot;&gt; &lt;/span&gt;class&lt;span style=&quot;letter-spacing: -0.05pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.05pt;&quot;&gt; &lt;/span&gt;tasks&lt;span style=&quot;letter-spacing: -0.05pt;&quot;&gt; &lt;/span&gt;T&lt;span style=&quot;letter-spacing: -0.05pt;&quot;&gt; &lt;/span&gt;and
performance measure P, if its performance at tasks T, as measured by P,
improves with experience E.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin: 0.05pt 0in 0.0001pt; text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin: 0in 0in 0.0001pt 46pt; text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.1pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;&lt;b&gt;Examples:&lt;/b&gt;&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&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: 150%; margin: 0in 0in 0.0001pt 90.3pt; text-align: justify; text-indent: -8.3pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;letter-spacing: -0.05pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;i)&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Handwriting&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt;
&lt;/span&gt;recognition&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;learning&lt;span style=&quot;letter-spacing: -0.5pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;problem&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: 150%; margin: 0in 0in 0.0001pt 125.95pt; text-align: justify; text-indent: -7.95pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Task&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;T:&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;Recognising&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;and&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;classifying&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;handwritten&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;words&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;within&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;images&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: 150%; margin: 0.05pt 0in 0.0001pt 125.95pt; text-align: justify; text-indent: -7.95pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Performance&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;P:&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;Percent&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;words&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;correctly&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;classified&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: 150%; margin: 0in 0in 0.0001pt 125.95pt; text-align: justify; text-indent: -7.95pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Training&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;experience&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;E:&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;A&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;dataset&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt;
&lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;handwritten&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;words&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;with&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;given&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt;
&lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;classifications&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: 150%; margin: 0in 0in 0.0001pt 92.85pt; text-align: justify; text-indent: -10.85pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;letter-spacing: -0.05pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;ii)&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;A&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;robot&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;driving&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt;
&lt;/span&gt;learning&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;problem&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: 150%; margin: 0.05pt 0in 0.0001pt 125.95pt; text-align: justify; text-indent: -7.95pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Task&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;T:&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;Driving&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;on&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;highways&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;using&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;vision&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;sensors&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: 150%; margin: 0in 0in 0.0001pt 125.95pt; text-align: justify; text-indent: -7.95pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Performance&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;measure&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt;
&lt;/span&gt;P:&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;Average&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;distance&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt;
&lt;/span&gt;traveled&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;before&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;an&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;error&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: 150%; margin: 0in 80.55pt 0.0001pt 123.05pt; text-align: justify; text-indent: -5.05pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;training&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;experience:&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;A&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;sequence&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;images&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;and&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;steering&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;commands&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt;
&lt;/span&gt;recorded&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;while observing a
human driver&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin: 0.05pt 0in 0.0001pt 95.3pt; text-align: justify; text-indent: -13.3pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;letter-spacing: -0.05pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;iii)&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;A&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;chess&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;learning&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt;
&lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;problem&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: 150%; margin: 0in 0in 0.0001pt 125.95pt; text-align: justify; text-indent: -7.95pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Task&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;T:&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;Playing&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt;chess&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: 150%; margin: 0in 0in 0.0001pt 125.95pt; text-align: justify; text-indent: -7.95pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Performance&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;measure&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt;
&lt;/span&gt;P:&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;Percent&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;games&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;won&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;against&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; opponents&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: 150%; margin: 0in 0in 0.0001pt 125.95pt; text-align: justify; text-indent: -7.95pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Training&lt;span style=&quot;letter-spacing: -0.45pt;&quot;&gt; &lt;/span&gt;experience&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;E:&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;Playing&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;practice&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt;
&lt;/span&gt;games&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;against&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;itself&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: 150%; margin: 0in 0in 0.0001pt 46pt; text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.1pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Definition&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&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: 150%; margin: 0.05pt 62.85pt 0.0001pt 46pt; text-align: justify; text-indent: 0.5in;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;A&lt;span style=&quot;letter-spacing: 1.65pt;&quot;&gt; &lt;/span&gt;computer&lt;span style=&quot;letter-spacing: 1.55pt;&quot;&gt; &lt;/span&gt;program&lt;span style=&quot;letter-spacing: 1.6pt;&quot;&gt;
&lt;/span&gt;which&lt;span style=&quot;letter-spacing: 1.6pt;&quot;&gt; &lt;/span&gt;learns&lt;span style=&quot;letter-spacing: 1.65pt;&quot;&gt; &lt;/span&gt;from&lt;span style=&quot;letter-spacing: 1.7pt;&quot;&gt; &lt;/span&gt;experience&lt;span style=&quot;letter-spacing: 1.55pt;&quot;&gt; &lt;/span&gt;is&lt;span style=&quot;letter-spacing: 1.65pt;&quot;&gt; &lt;/span&gt;called&lt;span style=&quot;letter-spacing: 1.65pt;&quot;&gt; &lt;/span&gt;a&lt;span style=&quot;letter-spacing: 1.4pt;&quot;&gt; &lt;/span&gt;machine&lt;span style=&quot;letter-spacing: 1.7pt;&quot;&gt; &lt;/span&gt;learning&lt;span style=&quot;letter-spacing: 1.6pt;&quot;&gt;
&lt;/span&gt;program&lt;span style=&quot;letter-spacing: 1.6pt;&quot;&gt; &lt;/span&gt;or simply a learning
program. Such a program is sometimes also referred to as a learner.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin: 0.05pt 0in 0.0001pt; text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;br /&gt;&lt;br /&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;b style=&quot;text-indent: -14pt;&quot;&gt;&lt;u&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Components&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;Learning&lt;/span&gt;&lt;/span&gt;&lt;/u&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0in; margin-left: 48.5pt; margin-right: 0in; margin-top: 12.0pt; margin: 12pt 0in 0in 48.5pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Basic&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;components&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;learning&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;process&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: 150%; margin-bottom: 0in; margin-left: 46.0pt; margin-right: 63.0pt; margin-top: 0in; margin: 0in 63pt 0in 46pt; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: 0.5in;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;The learning process, whether by a human or a
machine, can be divided into four components, namely, data storage,
abstraction, generalization and evaluation.&amp;nbsp;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0in; margin-left: 46.0pt; margin-right: 63.0pt; margin-top: 0in; margin: 0in 63pt 0in 46pt; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: 0.5in;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; text-indent: 0.5in;&quot;&gt;Figure 1.1 &lt;span style=&quot;font-size: x-small;&quot;&gt;illustrates the
various components and the steps involved in the learning process.&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgrZ1Ij53SvxfPpHazRpA4Od1wgzRn_8XfW9a3VtGQiKoy4FLVbE8zZku3zNuOY5-PHnwenoWsZWbSwq5Lmu8OmNeOP66I3zv8hei56EuWTKll-j_pNoxjqW0yLL5jU_PGsS__ohrzT5V6r75MhLhqkd2f3wy256ZVYNXgL7rnh2SmgCREL2qVPUrHO6ak/s635/1.jpg&quot; style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; margin-left: 1em; margin-right: 1em; text-align: center;&quot;&gt;&lt;/a&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgrZ1Ij53SvxfPpHazRpA4Od1wgzRn_8XfW9a3VtGQiKoy4FLVbE8zZku3zNuOY5-PHnwenoWsZWbSwq5Lmu8OmNeOP66I3zv8hei56EuWTKll-j_pNoxjqW0yLL5jU_PGsS__ohrzT5V6r75MhLhqkd2f3wy256ZVYNXgL7rnh2SmgCREL2qVPUrHO6ak/s635/1.jpg&quot; style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 16px; margin-left: 1em; margin-right: 1em; text-align: center;&quot;&gt;&lt;img border=&quot;0&quot; data-original-height=&quot;184&quot; data-original-width=&quot;635&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgrZ1Ij53SvxfPpHazRpA4Od1wgzRn_8XfW9a3VtGQiKoy4FLVbE8zZku3zNuOY5-PHnwenoWsZWbSwq5Lmu8OmNeOP66I3zv8hei56EuWTKll-j_pNoxjqW0yLL5jU_PGsS__ohrzT5V6r75MhLhqkd2f3wy256ZVYNXgL7rnh2SmgCREL2qVPUrHO6ak/s16000/1.jpg&quot; /&gt;&lt;/a&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0in; margin-left: 56.95pt; margin-right: 0in; margin-top: .05pt; margin: 0.05pt 0in 0in 56.95pt; mso-list: l1 level1 lfo3; mso-outline-level: 3; mso-pagination: none; tab-stops: 56.95pt; text-align: justify; text-autospace: none; text-indent: -10.95pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;b&gt;&lt;i&gt;&lt;span style=&quot;mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;1.&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/i&gt;&lt;/b&gt;&lt;!--[endif]--&gt;&lt;b&gt;&lt;i&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Data&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;
storage&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/i&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0in; margin-left: 46.0pt; margin-right: 63.1pt; margin-top: 0in; margin: 0in 63.1pt 0in 46pt; mso-pagination: none; text-align: justify; text-autospace: none; text-indent: 0.5in;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Facilities for storing and retrieving huge
amounts of data are an important component of the learning process. Humans and
computers alike utilize data storage as a foundation for advanced &lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;reasoning.&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: 150%; margin-bottom: 0in; margin-left: 53.95pt; margin-right: 0in; margin-top: 0in; margin: 0in 0in 0in 53.95pt; mso-list: l1 level2 lfo3; mso-pagination: none; tab-stops: 53.95pt; text-align: justify; text-autospace: none; text-indent: -7.95pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;In&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;a&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;human&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;being,&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;data&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;is&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;stored&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;in&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;brain&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;and&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;data&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;is&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;retrieved&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt;
&lt;/span&gt;using&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;electrochemical&lt;span style=&quot;letter-spacing: 2.2pt;&quot;&gt;&lt;span style=&quot;mso-spacerun: yes;&quot;&gt;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;signals.&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: 150%; margin-bottom: 0in; margin-left: 46.0pt; margin-right: 63.2pt; margin-top: .05pt; margin: 0.05pt 63.2pt 0in 46pt; mso-list: l1 level2 lfo3; mso-pagination: none; tab-stops: 54.35pt; text-align: justify; text-autospace: none; text-indent: -8.05pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;•&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Computers use hard disk drives, flash memory,
random access memory and similar devices&lt;span style=&quot;letter-spacing: 4pt;&quot;&gt; &lt;/span&gt;to
store data and use cables and other technology to retrieve 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: 150%; margin-bottom: 0.0001pt; text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0in; margin-left: 56.95pt; margin-right: 0in; margin-top: 0in; margin: 0in 0in 0in 56.95pt; mso-list: l1 level1 lfo3; mso-outline-level: 3; mso-pagination: none; tab-stops: 56.95pt; text-align: justify; text-autospace: none; text-indent: -10.95pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;b&gt;&lt;i&gt;&lt;span style=&quot;mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;2.&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/i&gt;&lt;/b&gt;&lt;!--[endif]--&gt;&lt;b&gt;&lt;i&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.1pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Abstraction&lt;/span&gt;&lt;/i&gt;&lt;/b&gt;&lt;b&gt;&lt;i&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/i&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0in; margin-left: 82.0pt; margin-right: 0in; margin-top: .05pt; margin: 0.05pt 0in 0in 82pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;The&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;second&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;component&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt;
&lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;learning&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;process&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;is&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;known&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;as&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;abstraction.&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: 150%; margin-bottom: 0in; margin-left: 46.0pt; margin-right: 62.85pt; margin-top: 0in; margin: 0in 62.85pt 0in 46pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Abstraction is the process of extracting knowledge about stored data.
This involves creating general concepts about the data as a whole. The creation
of knowledge involves application of known models and creation of new models.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0in; margin-left: 46.0pt; margin-right: 63.3pt; margin-top: 0in; margin: 0in 63.3pt 0in 46pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;The process of fitting a model to a dataset is known as training. When
the model has been trained, the data is transformed into an abstract form that
summarizes the original 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: 150%; margin-bottom: 0in; margin-left: 56.95pt; margin-right: 0in; margin-top: 13.4pt; margin: 13.4pt 0in 0in 56.95pt; mso-list: l1 level1 lfo3; mso-outline-level: 3; mso-pagination: none; tab-stops: 56.95pt; text-align: justify; text-autospace: none; text-indent: -10.95pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;b&gt;&lt;i&gt;&lt;span style=&quot;mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;3.&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/i&gt;&lt;/b&gt;&lt;!--[endif]--&gt;&lt;b&gt;&lt;i&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.1pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Generalization&lt;/span&gt;&lt;/i&gt;&lt;/b&gt;&lt;b&gt;&lt;i&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/i&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0in; margin-left: 82.0pt; margin-right: 0in; margin-top: 0in; margin: 0in 0in 0in 82pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;The&lt;span style=&quot;letter-spacing: -0.3pt;&quot;&gt; &lt;/span&gt;third&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;component&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;learning&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt;
&lt;/span&gt;process&lt;span style=&quot;letter-spacing: -0.35pt;&quot;&gt; &lt;/span&gt;is&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;known&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;as&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;generalisation.&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: 150%; margin-bottom: 0in; margin-left: 46.0pt; margin-right: 62.8pt; margin-top: 0in; margin: 0in 62.8pt 0in 46pt; mso-pagination: none; text-align: justify; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;The term generalization describes the process of turning the knowledge
about stored data into a form that can be utilized for future action. These
actions are to be carried out on tasks that are similar, but not identical, to
those what have been seen before. In generalization, the goal is to discover
those properties of the data that will be most relevant to future tasks.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin: 13.4pt 0in 0.0001pt 56.95pt; text-align: justify; text-indent: -10.95pt;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;b&gt;&lt;i&gt;&lt;span style=&quot;mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri;&quot;&gt;&lt;span style=&quot;mso-list: Ignore;&quot;&gt;4.&lt;span style=&quot;font: 7pt &amp;quot;Times New Roman&amp;quot;;&quot;&gt;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/i&gt;&lt;/b&gt;&lt;!--[endif]--&gt;&lt;b&gt;&lt;i&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.1pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Evaluation&lt;/span&gt;&lt;/i&gt;&lt;/b&gt;&lt;b&gt;&lt;i&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/i&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin: 0in 0in 0.0001pt 82pt; text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Evaluation&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;is&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;last&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;component&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;learning&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt;
&lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;process.&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: 150%; margin: 0in 62.85pt 0.0001pt 46pt; text-align: justify;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;It&lt;span style=&quot;letter-spacing: 1.1pt;&quot;&gt; &lt;/span&gt;is&lt;span style=&quot;letter-spacing: 1.1pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: 1.1pt;&quot;&gt; &lt;/span&gt;process&lt;span style=&quot;letter-spacing: 1pt;&quot;&gt;
&lt;/span&gt;of&lt;span style=&quot;letter-spacing: 1.1pt;&quot;&gt; &lt;/span&gt;giving&lt;span style=&quot;letter-spacing: 1.05pt;&quot;&gt; &lt;/span&gt;feedback&lt;span style=&quot;letter-spacing: 1.1pt;&quot;&gt;
&lt;/span&gt;to&lt;span style=&quot;letter-spacing: 1.1pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: 1.1pt;&quot;&gt; &lt;/span&gt;user&lt;span style=&quot;letter-spacing: 1.1pt;&quot;&gt; &lt;/span&gt;to&lt;span style=&quot;letter-spacing: 1.05pt;&quot;&gt; &lt;/span&gt;measure&lt;span style=&quot;letter-spacing: 1.1pt;&quot;&gt;
&lt;/span&gt;the&lt;span style=&quot;letter-spacing: 1.1pt;&quot;&gt; &lt;/span&gt;utility&lt;span style=&quot;letter-spacing: 1pt;&quot;&gt; &lt;/span&gt;of&lt;span style=&quot;letter-spacing: 1.1pt;&quot;&gt; &lt;/span&gt;the&lt;span style=&quot;letter-spacing: 1.1pt;&quot;&gt; &lt;/span&gt;learned&lt;span style=&quot;letter-spacing: 1.1pt;&quot;&gt;
&lt;/span&gt;knowledge.&lt;span style=&quot;letter-spacing: 1.1pt;&quot;&gt; &lt;/span&gt;This feedback is
then utilised to effect improvements in the whole learning process&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='https://salutionteach.blogspot.com/feeds/434784635268846/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='https://salutionteach.blogspot.com/2025/04/learning.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/434784635268846'/><link rel='self' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/434784635268846'/><link rel='alternate' type='text/html' href='https://salutionteach.blogspot.com/2025/04/learning.html' title='Learning'/><author><name>salutionteach</name><uri>http://www.blogger.com/profile/15753843071083819831</uri><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/AVvXsEgrZ1Ij53SvxfPpHazRpA4Od1wgzRn_8XfW9a3VtGQiKoy4FLVbE8zZku3zNuOY5-PHnwenoWsZWbSwq5Lmu8OmNeOP66I3zv8hei56EuWTKll-j_pNoxjqW0yLL5jU_PGsS__ohrzT5V6r75MhLhqkd2f3wy256ZVYNXgL7rnh2SmgCREL2qVPUrHO6ak/s72-c/1.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-8766011798057583516.post-9043238076171137269</id><published>2025-04-14T23:36:00.000-07:00</published><updated>2025-04-14T23:46:31.582-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Application"/><category scheme="http://www.blogger.com/atom/ns#" term="Application of Machine Learning"/><category scheme="http://www.blogger.com/atom/ns#" term="Machine Learning"/><title type='text'>Introduction to machine Learning</title><content type='html'>&lt;p&gt;&lt;b style=&quot;text-align: justify; text-indent: -16.5pt;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;What&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;Is&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;Machine&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;Learning?&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; text-indent: 0.5in;&quot;&gt;Machine&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.1pt; text-indent: 0.5in;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; text-indent: 0.5in;&quot;&gt;learning&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.15pt; text-indent: 0.5in;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; text-indent: 0.5in;&quot;&gt;is&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.1pt; text-indent: 0.5in;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; text-indent: 0.5in;&quot;&gt;programming&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.15pt; text-indent: 0.5in;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; text-indent: 0.5in;&quot;&gt;computers&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.25pt; text-indent: 0.5in;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; text-indent: 0.5in;&quot;&gt;to&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.2pt; text-indent: 0.5in;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; text-indent: 0.5in;&quot;&gt;optimize&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.1pt; text-indent: 0.5in;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; text-indent: 0.5in;&quot;&gt;a&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.1pt; text-indent: 0.5in;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; text-indent: 0.5in;&quot;&gt;performance&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.1pt; text-indent: 0.5in;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; text-indent: 0.5in;&quot;&gt;criterion&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.3pt; text-indent: 0.5in;&quot;&gt;
&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; text-indent: 0.5in;&quot;&gt;using&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.15pt; text-indent: 0.5in;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; text-indent: 0.5in;&quot;&gt;example data or past
experience. We have a model defined up to some parameters, and learning is the&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: 4pt; text-indent: 0.5in;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; text-indent: 0.5in;&quot;&gt;execution of a computer program to
optimize the parameters of the model using the training data or past
experience. The model may be &lt;/span&gt;&lt;i style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; text-indent: 0.5in;&quot;&gt;predictive &lt;/i&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; text-indent: 0.5in;&quot;&gt;to
make predictions in the future, or &lt;/span&gt;&lt;i style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; text-indent: 0.5in;&quot;&gt;descriptive
&lt;/i&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; text-indent: 0.5in;&quot;&gt;to gain knowledge from data, or both.&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;Arthur Samuel, an early American leader in the field of computer
gaming and artificial intelligence, coined the term “Machine Learning” in 1959
while at IBM. He defined machine learning as “the field of study that gives
computers the ability to learn&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.05pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;without
being explicitly programmed.” However, there is no universally accepted
definition for machine learning. Different authors define the term differently.&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;b style=&quot;text-align: justify;&quot;&gt;&lt;i&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Applications&lt;span style=&quot;letter-spacing: -0.25pt;&quot;&gt;
&lt;/span&gt;of&lt;span style=&quot;letter-spacing: -0.4pt;&quot;&gt; &lt;/span&gt;machine&lt;span style=&quot;letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -0.1pt;&quot;&gt;learning&lt;/span&gt;&lt;/span&gt;&lt;/i&gt;&lt;/b&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; text-align: justify; text-indent: 0.5in;&quot;&gt;Application of machine learning methods to
large databases is called data mining. In data mining, a large volume of data
is processed to construct a simple&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.1pt; text-align: justify; text-indent: 0.5in;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; text-align: justify; text-indent: 0.5in;&quot;&gt;model
with valuable use, for example, &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.1pt; text-align: justify; text-indent: 0.5in;&quot;&gt;having&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; text-align: justify;&quot;&gt;high&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.25pt; text-align: justify;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; text-align: justify;&quot;&gt;predictive&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.25pt; text-align: justify;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.1pt; text-align: justify;&quot;&gt;accuracy.&lt;/span&gt;&lt;/p&gt;&lt;p&gt;

&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: 0in; mso-pagination: none; text-autospace: none;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;The&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;following&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;is&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;a&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;list&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;of&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;some&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;of&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;the&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.15pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;typical&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;applications&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.1pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;of&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.25pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;machine&lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.2pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt; letter-spacing: -0.1pt;&quot;&gt;learning.&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 0in; margin-right: 0in; margin-top: .05pt; mso-pagination: none; tab-stops: 81.9pt; text-autospace: none;&quot;&gt;&lt;/p&gt;&lt;ol style=&quot;text-align: left;&quot;&gt;&lt;li&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;In&lt;span style=&quot;letter-spacing: -.4pt;&quot;&gt; &lt;/span&gt;retail&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt; &lt;/span&gt;business,&lt;span style=&quot;letter-spacing: -.3pt;&quot;&gt; &lt;/span&gt;machine&lt;span style=&quot;letter-spacing: -.3pt;&quot;&gt;
&lt;/span&gt;learning&lt;span style=&quot;letter-spacing: -.25pt;&quot;&gt; &lt;/span&gt;is&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt; &lt;/span&gt;used&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt; &lt;/span&gt;to&lt;span style=&quot;letter-spacing: -.15pt;&quot;&gt; &lt;/span&gt;study&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt; &lt;/span&gt;consumer&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -.1pt;&quot;&gt;behaviour.&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;In&lt;span style=&quot;letter-spacing: 1.4pt;&quot;&gt; &lt;/span&gt;finance,&lt;span style=&quot;letter-spacing: 1.5pt;&quot;&gt;
&lt;/span&gt;banks&lt;span style=&quot;letter-spacing: 1.5pt;&quot;&gt; &lt;/span&gt;analyze&lt;span style=&quot;letter-spacing: 1.35pt;&quot;&gt; &lt;/span&gt;their&lt;span style=&quot;letter-spacing: 1.45pt;&quot;&gt;
&lt;/span&gt;past&lt;span style=&quot;letter-spacing: 1.5pt;&quot;&gt; &lt;/span&gt;data&lt;span style=&quot;letter-spacing: 1.5pt;&quot;&gt; &lt;/span&gt;to&lt;span style=&quot;letter-spacing: 1.55pt;&quot;&gt; &lt;/span&gt;build&lt;span style=&quot;letter-spacing: 1.45pt;&quot;&gt; &lt;/span&gt;models&lt;span style=&quot;letter-spacing: 1.45pt;&quot;&gt;
&lt;/span&gt;to&lt;span style=&quot;letter-spacing: 1.55pt;&quot;&gt; &lt;/span&gt;use&lt;span style=&quot;letter-spacing: 1.5pt;&quot;&gt; &lt;/span&gt;in&lt;span style=&quot;letter-spacing: 1.4pt;&quot;&gt; &lt;/span&gt;credit&lt;span style=&quot;letter-spacing: 1.5pt;&quot;&gt; &lt;/span&gt;applications,&lt;span style=&quot;letter-spacing: 1.5pt;&quot;&gt; &lt;/span&gt;fraud detection, and the stock market.&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;In&lt;span style=&quot;letter-spacing: -.45pt;&quot;&gt; &lt;/span&gt;manufacturing,&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt; &lt;/span&gt;learning&lt;span style=&quot;letter-spacing: -.25pt;&quot;&gt;
&lt;/span&gt;models&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt; &lt;/span&gt;are&lt;span style=&quot;letter-spacing: -.25pt;&quot;&gt; &lt;/span&gt;used&lt;span style=&quot;letter-spacing: -.25pt;&quot;&gt; &lt;/span&gt;for&lt;span style=&quot;letter-spacing: -.3pt;&quot;&gt; &lt;/span&gt;optimization,&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt; &lt;/span&gt;control,&lt;span style=&quot;letter-spacing: -.25pt;&quot;&gt; &lt;/span&gt;and&lt;span style=&quot;letter-spacing: -.25pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -.1pt;&quot;&gt;troubleshooting.&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;In&lt;span style=&quot;letter-spacing: -.25pt;&quot;&gt; &lt;/span&gt;medicine,&lt;span style=&quot;letter-spacing: -.1pt;&quot;&gt; &lt;/span&gt;learning&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt;
&lt;/span&gt;programs&lt;span style=&quot;letter-spacing: -.1pt;&quot;&gt; &lt;/span&gt;are&lt;span style=&quot;letter-spacing: -.1pt;&quot;&gt; &lt;/span&gt;used&lt;span style=&quot;letter-spacing: -.3pt;&quot;&gt; &lt;/span&gt;for&lt;span style=&quot;letter-spacing: -.25pt;&quot;&gt; &lt;/span&gt;medical&lt;span style=&quot;letter-spacing: -.1pt;&quot;&gt;
diagnosis.&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;In telecommunications, call patterns are
analyzed for network optimization and maximizing the quality of service.&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;In science, large amounts of data in physics,
astronomy, and biology can only be analyzed fast enough by computers. The World
Wide Web is huge; it is constantly growing and searching for relevant
information cannot be done manually.&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;In artificial intelligence, it is used to
teach a system to learn and adapt to changes so that the system designer need
not foresee and provide solutions for all possible situations.&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;It&lt;span style=&quot;letter-spacing: -.3pt;&quot;&gt; &lt;/span&gt;is&lt;span style=&quot;letter-spacing: -.15pt;&quot;&gt; &lt;/span&gt;used&lt;span style=&quot;letter-spacing: -.3pt;&quot;&gt; &lt;/span&gt;to&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt; &lt;/span&gt;find&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt; &lt;/span&gt;solutions&lt;span style=&quot;letter-spacing: -.25pt;&quot;&gt; &lt;/span&gt;to&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt; &lt;/span&gt;many&lt;span style=&quot;letter-spacing: -.2pt;&quot;&gt; &lt;/span&gt;problems&lt;span style=&quot;letter-spacing: -.15pt;&quot;&gt;
&lt;/span&gt;in&lt;span style=&quot;letter-spacing: -.3pt;&quot;&gt; &lt;/span&gt;vision,&lt;span style=&quot;letter-spacing: -.25pt;&quot;&gt; &lt;/span&gt;speech&lt;span style=&quot;letter-spacing: -.15pt;&quot;&gt;
&lt;/span&gt;recognition,&lt;span style=&quot;letter-spacing: -.15pt;&quot;&gt; &lt;/span&gt;and&lt;span style=&quot;letter-spacing: -.25pt;&quot;&gt; &lt;/span&gt;&lt;span style=&quot;letter-spacing: -.1pt;&quot;&gt;robotics.&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Machine learning methods are applied in the
design of computer-controlled vehicles to steer correctly when driving on a
variety of roads.&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: Calibri;&quot;&gt;Machine learning methods have been used to
develop programmes for playing games such as chess, backgammon and Go.&lt;/span&gt;&lt;/li&gt;&lt;/ol&gt;&lt;p&gt;&lt;/p&gt;&lt;p&gt;

















&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;, &amp;quot;serif&amp;quot;; font-size: 12pt;&quot;&gt;&lt;/span&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='https://salutionteach.blogspot.com/feeds/9043238076171137269/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='https://salutionteach.blogspot.com/2025/04/introduction-to-machine-learning.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/9043238076171137269'/><link rel='self' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/9043238076171137269'/><link rel='alternate' type='text/html' href='https://salutionteach.blogspot.com/2025/04/introduction-to-machine-learning.html' title='Introduction to machine Learning'/><author><name>salutionteach</name><uri>http://www.blogger.com/profile/15753843071083819831</uri><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><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-8766011798057583516.post-3799744690014314586</id><published>2025-04-14T23:24:00.000-07:00</published><updated>2025-04-18T22:24:08.753-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Machine Learning"/><category scheme="http://www.blogger.com/atom/ns#" term="ML course"/><title type='text'>Machine Learning</title><content type='html'>&lt;p&gt;&amp;nbsp;&lt;span face=&quot;Roboto, sans-serif&quot; style=&quot;background-color: white; color: #656565; font-size: 14px; text-align: justify;&quot;&gt;This is an introductory Machine Learning course for beginners.&lt;/span&gt;&lt;/p&gt;&lt;a href=&quot;https://salutionteach.blogspot.com/2025/04/introduction-to-machine-learning.html&quot;&gt;&lt;/a&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;&lt;p style=&quot;text-align: left;&quot;&gt;&lt;/p&gt;&lt;/h4&gt;&lt;h3 style=&quot;text-align: left;&quot;&gt;&lt;p style=&quot;text-align: left;&quot;&gt;&lt;/p&gt;&lt;/h3&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;&lt;/h4&gt;&lt;h3 style=&quot;text-align: left;&quot;&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li style=&quot;text-align: justify;&quot;&gt;&lt;a href=&quot;https://salutionteach.blogspot.com/2025/04/introduction-to-machine-learning.html&quot; style=&quot;font-weight: normal;&quot;&gt;Introduction to Machine Learning&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li style=&quot;text-align: justify;&quot;&gt;&lt;a href=&quot;https://salutionteach.blogspot.com/2025/04/learning.html&quot; style=&quot;font-weight: normal;&quot;&gt;Learning&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li style=&quot;text-align: justify;&quot;&gt;&lt;a href=&quot;https://salutionteach.blogspot.com/2025/04/understanding-data.html&quot; style=&quot;font-weight: normal;&quot;&gt;Understanding data&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li style=&quot;text-align: justify;&quot;&gt;&lt;a href=&quot;https://salutionteach.blogspot.com/2025/04/machine-learning-model.html&quot; style=&quot;font-weight: normal;&quot;&gt;Machine Learning Model&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li style=&quot;text-align: justify;&quot;&gt;&lt;a href=&quot;https://salutionteach.blogspot.com/2025/04/types-of-machine-learning.html&quot; style=&quot;font-weight: normal;&quot;&gt;Types of Machine Learning&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li style=&quot;text-align: justify;&quot;&gt;&lt;a href=&quot;https://salutionteach.blogspot.com/2025/04/classification-in-machine-learning.html&quot; style=&quot;font-weight: normal;&quot;&gt;Classification and Regression&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li style=&quot;text-align: justify;&quot;&gt;&lt;a href=&quot;https://salutionteach.blogspot.com/2025/04/clustering-and-association.html&quot; style=&quot;font-weight: normal;&quot;&gt;Clustering and Association&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li&gt;&lt;a href=&quot;https://salutionteach.blogspot.com/2025/04/simple-linear-regression.html&quot; style=&quot;font-weight: normal; text-align: justify;&quot;&gt;Simple linear regression&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li&gt;&lt;a href=&quot;https://salutionteach.blogspot.com/2025/04/multiple-linear-regressions.html&quot; style=&quot;font-weight: normal; text-align: justify;&quot;&gt;Multiple Linear Regression&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;&lt;a href=&quot;https://salutionteach.blogspot.com/2025/04/naive-bayes-classifier.html&quot;&gt;Naive Bayes classifier&lt;/a&gt;&amp;nbsp;&lt;/span&gt;&lt;/li&gt;&lt;/ul&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li style=&quot;text-align: justify;&quot;&gt;&lt;a href=&quot;https://salutionteach.blogspot.com/2025/04/decision-tree.html&quot; style=&quot;font-weight: normal;&quot;&gt;Decision Tree&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/h3&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li style=&quot;text-align: justify;&quot;&gt;&lt;br /&gt;&lt;/li&gt;&lt;/ul&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;/ul&gt;&lt;p&gt;&lt;/p&gt;&lt;p&gt;&lt;/p&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;a href=&quot;https://salutionteach.blogspot.com/2025/04/introduction-to-machine-learning.html&quot;&gt;&lt;/a&gt;&lt;/ul&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;&lt;span face=&quot;Roboto, sans-serif&quot; style=&quot;background-color: white; color: #656565; font-size: 14px; text-align: justify;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;p&gt;&lt;span face=&quot;Roboto, sans-serif&quot; style=&quot;background-color: white; color: #656565; font-size: 14px; text-align: justify;&quot;&gt;&lt;/span&gt;&lt;/p&gt;&lt;h4 style=&quot;background: 0px 0px rgb(255, 255, 255); border: 0px; color: #111111; font-family: Roboto, sans-serif; font-size: 27px; line-height: 1.5em; margin: 15px 0px; outline: 0px; padding: 0px; position: relative; text-align: left; vertical-align: baseline;&quot;&gt;&lt;br /&gt;&lt;/h4&gt;</content><link rel='replies' type='application/atom+xml' href='https://salutionteach.blogspot.com/feeds/3799744690014314586/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='https://salutionteach.blogspot.com/2025/04/machine-learning.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/3799744690014314586'/><link rel='self' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/3799744690014314586'/><link rel='alternate' type='text/html' href='https://salutionteach.blogspot.com/2025/04/machine-learning.html' title='Machine Learning'/><author><name>salutionteach</name><uri>http://www.blogger.com/profile/15753843071083819831</uri><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><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-8766011798057583516.post-6638575661629156084</id><published>2025-03-18T21:25:00.000-07:00</published><updated>2025-03-19T00:35:05.072-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="computer"/><category scheme="http://www.blogger.com/atom/ns#" term="Desktop"/><category scheme="http://www.blogger.com/atom/ns#" term="Handheld computers"/><category scheme="http://www.blogger.com/atom/ns#" term="individual users"/><category scheme="http://www.blogger.com/atom/ns#" term="Mainframe computers"/><category scheme="http://www.blogger.com/atom/ns#" term="Minicomputers"/><category scheme="http://www.blogger.com/atom/ns#" term="Network servers"/><category scheme="http://www.blogger.com/atom/ns#" term="Notebook computers"/><category scheme="http://www.blogger.com/atom/ns#" term="Smartphones"/><category scheme="http://www.blogger.com/atom/ns#" term="Supercomputers"/><category scheme="http://www.blogger.com/atom/ns#" term="Workstations"/><title type='text'>EXPLORING COMPUTER AND THEIR USES</title><content type='html'>&lt;h2 style=&quot;text-align: left;&quot;&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;OVERVIEW:&lt;/span&gt;&lt;/h2&gt;&lt;p&gt;&amp;nbsp;“Computers are everywhere”.  In the past two decades, computers have reshaped our lives at 
home, work and school. As your knowledge of computer grows, you will understand that all 
computers regardless of their sizes and purpose are similar.&lt;/p&gt;&lt;h2 style=&quot;text-align: left;&quot;&gt;&lt;b&gt;THE COMPUTER DEFINED:&lt;/b&gt;&amp;nbsp;&lt;/h2&gt;&lt;p&gt;&amp;nbsp;In basic terms, a computer is an electronic device that process data, converting it into 
information that is useful to people. Any computer regardless of its types is controlled by 
programming instructions, which gives the machine instructions and tell it what to do. A less 
known type of computer is ANALOG COMPUTER, which works in very different way as 
compared to digital computer. Analog and digital computer are different in many respects, but 
the most important thing they both represent is DATA. DIGITAL computer represent data as 
values with no other possibilities but the ANALOG computer represents data as variable and 
continuous values with other possibilities also. This makes analog computers more reliable 
and easy then digital computers. The common type of analog computer is old fashioned slide 
rule.&lt;/p&gt;&lt;h3 style=&quot;text-align: left;&quot;&gt;&lt;b&gt;COMPUTER FOR INDIVIDUAL USERS:&lt;/b&gt;&amp;nbsp;&lt;/h3&gt;&lt;p&gt;&amp;nbsp;Most computers are used by only person at a time. The six primary types of computers in this 
category are:&amp;nbsp;&lt;/p&gt;&lt;p&gt;&lt;/p&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li&gt;Desktop computer&lt;/li&gt;&lt;li&gt;Workstations&lt;/li&gt;&lt;li&gt;Tablet computers&lt;/li&gt;&lt;li&gt;Notebook computers&lt;/li&gt;&lt;li&gt;Handheld 
computers&lt;/li&gt;&lt;li&gt;Smartphones&lt;/li&gt;&lt;/ul&gt;&lt;div&gt;&lt;p&gt;&lt;/p&gt;&lt;p&gt;&amp;nbsp;These systems are all examples of personal computers(PCs). Personal computers are also 
called “Microcomputers”. The term personal computer PC is also used to describe desktop 
computers.&amp;nbsp;&lt;/p&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;&lt;b&gt;DESKTOP COMPUTERS:&amp;nbsp;&lt;/b&gt;&lt;/h4&gt;&lt;p&gt;&amp;nbsp;The most common type of personal computers are “desktop computers”, that are designed to 
sit on a desk or a table. These are the systems that you see all around in your schools, offices, 
universities, working labs, homes and they are the main topic of this book. They can be used 
to communicate, produce music, edit photographs and videos, play games and much more. 
The main computer of the desktop PC is the system unit. 
There are two common designs for the desktop computers i.e, a horizontally oriented systems 
and a vertically oriented tower model.&amp;nbsp;&lt;/p&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;&amp;nbsp;WORKSTATIONS:&amp;nbsp;&lt;/h4&gt;&lt;p&gt;&amp;nbsp;A Workstation is a specialized, single user computer that typically has more power and 
features then a standard desktop PC. Workstations have large, high resolutionized monitors, 
accelerated graphics and handling capabilities.&amp;nbsp;&lt;/p&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;&amp;nbsp;NOTEBOOK COMPUTERS:&amp;nbsp;&lt;/h4&gt;&lt;p&gt;&amp;nbsp;Notebook computers having shape of an 8.5 by 11 inch notebook and easily put inside a 
briefcase. They are also called LAPTOP computers. Notebook computers are fully functional 
microcomputers. Because of their portability, notebook computer are fall into a device called 
MOBILE computers systems small enough to carried by their users.&amp;nbsp;&lt;/p&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;&amp;nbsp;TABLET PCs:&lt;/h4&gt;&lt;p&gt;&amp;nbsp;The tablet pcs are the newest development, full-featured computers. The tablet pcs are same 
as notebook pcs, but they are lighter and accept inputs from a pen called a STYLUS or a digital 
pen that is used to tap and write directly on the screen.&amp;nbsp;&lt;/p&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;&amp;nbsp;HANDHELD COMPUTERS:&amp;nbsp;&lt;/h4&gt;&lt;p&gt;&amp;nbsp;Handheld computers are small enough to be fit in your hands. A popular type of Handheld 
computers is PERSONAL DIGITAL ASSISTANT PDA. A PDA can be connected to large computers 
for exchanging data.&lt;/p&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;&amp;nbsp;SMARTPHONES:&amp;nbsp;&lt;/h4&gt;&lt;p&gt;&amp;nbsp;A smartphone is a phone that performs many functions of the computers. They have 
functions include web and email access, special software such as personal organizers or 
special hardware such as digital cameras or music players.&amp;nbsp;&lt;/p&gt;&lt;h3 style=&quot;text-align: left;&quot;&gt;COMPUTERS FOR ORGANIZATION:&amp;nbsp;&lt;/h3&gt;&lt;div&gt;Some computers handle the need of many users at a time, each user interact with the 
computer through his or her own device.&lt;/div&gt;&lt;div&gt;The largest organizational computers support thousands of the individual users at the same 
time. Powerful systems are often used by organizations.&amp;nbsp;&lt;/div&gt;&lt;div&gt;&lt;p style=&quot;text-align: left;&quot;&gt;&lt;/p&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;Network servers&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;Mainframe computers&amp;nbsp;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;Minicomputers&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;Supercomputers&lt;/span&gt;&lt;/li&gt;&lt;/ul&gt;&lt;p&gt;&lt;/p&gt;&lt;/div&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;NETWORK SERVERS:&amp;nbsp;&lt;/h4&gt;&lt;div&gt;&amp;nbsp;A network server is usually a powerful personal computer with special software and 
functions. PC based networks and servers offer companies a great deal of flexibility. Different 
servers have different purposes. A PC based server give user flexibility to do different kind of 
tasks. The servers can support many processes and many other while storing information and 
programs for many peoples to use.&lt;/div&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;MAINFRAME COMPUTERS:&amp;nbsp;&lt;/h4&gt;&lt;p style=&quot;text-align: left;&quot;&gt;Mainframe computers are use in large organizations such as banks and insurance companies 
where many people need to use the same data. Each user accesses the mainframe resources 
through a device called a TERMINAL. A dumb terminal (not storing or processing data) and an 
intelligent terminal (performing operations but not having storage usually). Mainframes are 
large powerful systems. Website to reserve a seat on a flight, you probably transaction with a 
mainframe computer.&lt;/p&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;MINICOMPUTERS:&amp;nbsp;&lt;/h4&gt;&lt;p style=&quot;text-align: left;&quot;&gt;&amp;nbsp;Minicomputers got their names because of their small sized compared to the other computers 
of the day. The capabilities of a minicomputer are those between personal computers and 
mainframes. They are also called MIDRANGED computers.&amp;nbsp;&lt;/p&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;SUPERCOMPUTERS:&amp;nbsp;&lt;/h4&gt;&lt;p style=&quot;text-align: left;&quot;&gt;Supercomputers are the most powerful computers and physically they are some of the 
largest. Supercomputers are ideal for handling large and highly complex problems that 
require extreme calculating power.&amp;nbsp; &amp;nbsp;&lt;/p&gt;&lt;h3 style=&quot;text-align: left;&quot;&gt;COMPUTERS IN SOCIETY:&amp;nbsp;&lt;/h3&gt;&lt;p&gt;&amp;nbsp;Why computers are important in our society? People often talked about computer terms and 
their Impact on our lives. 
Computers are important in our society because information is so essential in our lives. All the 
information is stored and processed by computers. If you work in a place and need to perform 
various tasks, a desktop computer is the best choice. 
Choose a desktop computer if you want to work with graphics, designs or use multimedia 
products, setup complex hardware.&amp;nbsp;&amp;nbsp;&lt;/p&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;HOME:&amp;nbsp;&lt;/h4&gt;&lt;p&gt;&amp;nbsp;People cannot imagine lives without computers. In fact, a growing families have multiple pcs 
in their homes. They use computers at home for communications, business work done, 
schoolwork, entertainment and finances.&amp;nbsp;&lt;/p&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;&amp;nbsp;EDUCATION:&amp;nbsp;&lt;/h4&gt;&lt;p&gt;&amp;nbsp;More and more schools are adding computers technology in educational circle. Educators see 
computer technology as an essential learning requirement for all students. 
SMALL BUSSINESS: 
Many of todays successful companies are nothing without computers. Hundred of thousand 
of individuals launch business based from their home or in small office locations. Small 
business become more self-sufficient and reduce their operating expenses.&amp;nbsp;&lt;/p&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;&amp;nbsp;INDUSTRY:&amp;nbsp;&lt;/h4&gt;&lt;p&gt;&amp;nbsp;Enterprises use different kinds of computers in many combinations. Computers are applied in 
industry for design, shipping and process control.&amp;nbsp;&lt;/p&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;&amp;nbsp;GOVERNMENT:&amp;nbsp;&lt;/h4&gt;&lt;p&gt;&amp;nbsp;Computers plays important role in nearly every government agency. Such as in taxes, 
population, military, and police.&lt;br /&gt;&lt;br /&gt;&lt;/p&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='https://salutionteach.blogspot.com/feeds/6638575661629156084/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='https://salutionteach.blogspot.com/2025/03/exploring-computer-and-their-uses.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/6638575661629156084'/><link rel='self' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/6638575661629156084'/><link rel='alternate' type='text/html' href='https://salutionteach.blogspot.com/2025/03/exploring-computer-and-their-uses.html' title='EXPLORING COMPUTER AND THEIR USES'/><author><name>salutionteach</name><uri>http://www.blogger.com/profile/15753843071083819831</uri><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><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-8766011798057583516.post-711749009468298528</id><published>2025-03-18T21:19:00.000-07:00</published><updated>2025-03-18T23:53:39.532-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="App. of info &amp; communication technology"/><category scheme="http://www.blogger.com/atom/ns#" term="computer"/><category scheme="http://www.blogger.com/atom/ns#" term="ICT"/><title type='text'>Application of Information &amp; Communication Technology</title><content type='html'>&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 18.4px; margin-bottom: 0in; margin-left: 15.0pt; margin-right: 14.7pt; margin-top: 1.35pt; margin: 1.35pt 14.7pt 0in 15pt; text-align: justify;&quot;&gt;This is an introductory course in Computer Science designed for beginners. Apart from leading the participants through a whirlwind history of computing, the course also develops a feel for web programming through a series of lectures that help the students develop their own web page. Main objective of the course is to build an appreciation for the fundamental concepts in computing and to become familiar with popular PC productivity software.&lt;/p&gt;&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 18.4px; margin-bottom: 0in; margin-left: 15.0pt; margin-right: 14.7pt; margin-top: 1.35pt; margin: 1.35pt 14.7pt 0in 15pt; text-align: justify;&quot;&gt;&lt;span style=&quot;line-height: 107%;&quot;&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;This course, using both lecture and laboratory
practice, introduces students to basic computer concepts in hardware, software,
networking, computer security, database, e-commerce and other emerging
technologies such as wiki and Google applications. Students learn techniques to
search information found online. Widely used applications including word
processing, spreadsheets, databases, presentation, and web development software
are studied.&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 18.4px; margin-bottom: 0in; margin-left: 15.0pt; margin-right: 14.7pt; margin-top: 1.35pt; margin: 1.35pt 14.7pt 0in 15pt; text-align: justify;&quot;&gt;&lt;span face=&quot;Calibri, &amp;quot;sans-serif&amp;quot;&quot; style=&quot;line-height: 107%;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoBodyText&quot; style=&quot;line-height: 18.4px; margin-bottom: 0in; margin-left: 15.0pt; margin-right: 14.7pt; margin-top: 1.35pt; margin: 1.35pt 14.7pt 0in 15pt; text-align: justify;&quot;&gt;&lt;span face=&quot;Calibri, &amp;quot;sans-serif&amp;quot;&quot; style=&quot;line-height: 107%;&quot;&gt;&lt;b&gt;&lt;span face=&quot;&amp;quot;Arial&amp;quot;,&amp;quot;sans-serif&amp;quot;&quot; style=&quot;font-size: 12pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-font-kerning: 0pt; mso-ligatures: none;&quot;&gt;Course Objective:&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/p&gt;&lt;p style=&quot;tab-stops: -.2in .7in .95in 1.2in 1.45in 1.7in 1.95in 2.2in 2.45in 2.7in 2.95in 3.2in 3.45in 261.0pt 3.95in 4.2in 4.45in 4.7in 4.95in 5.2in 405.0pt 419.4pt 6.0in; text-align: justify;&quot;&gt;&lt;/p&gt;&lt;p&gt;&lt;/p&gt;&lt;ul&gt;&lt;li&gt;&lt;span style=&quot;line-height: 107%;&quot;&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;After successful completion of the course, the
students will be able to:-&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;&lt;/ul&gt;&lt;ul&gt;&lt;li&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;Understand basic functions of computer hardware and software components
including operating system functions&lt;/span&gt;&lt;/li&gt;&lt;/ul&gt;&lt;ul&gt;&lt;li&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;Identify various networks (LAN, WAN, intranet), topologies (ring, bus,
star), protocols (TCP/IP, HTTP &amp;amp;DNS), media types and network hardware.&lt;/span&gt;&lt;/li&gt;&lt;/ul&gt;&lt;ul&gt;&lt;li&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;The importance of this course should motivate you all to take keen
interest in the class proceedings and try to work hands on.&lt;/span&gt;&lt;/li&gt;&lt;/ul&gt;&lt;ul&gt;&lt;li&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;Design and create web pages using HTML&lt;/span&gt;&lt;/li&gt;&lt;/ul&gt;&lt;ul&gt;&lt;li&gt;&lt;span style=&quot;font-family: inherit; text-align: left; text-indent: -37.25pt;&quot;&gt;Understand the fundamentals
of system analysis, life cycle of a program development.&lt;/span&gt;&lt;/li&gt;&lt;/ul&gt;&lt;p&gt;&lt;/p&gt;&lt;p&gt;&lt;/p&gt;&lt;p class=&quot;MsoListParagraph&quot; style=&quot;margin-bottom: .1pt; margin-left: 53.0pt; margin-right: 0in; margin-top: 3.75pt; margin: 3.75pt 0in 0.1pt 53pt; mso-list: l0 level1 lfo1; tab-stops: 53.0pt 53.05pt; text-indent: -37.25pt;&quot;&gt;&lt;b&gt;&lt;span style=&quot;font-size: 14pt; mso-bidi-font-size: 11.0pt;&quot;&gt;Text&lt;span style=&quot;letter-spacing: -0.15pt;&quot;&gt;&amp;nbsp;&lt;/span&gt;books:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;&lt;blockquote style=&quot;border: none; margin: 0px 0px 0px 40px; padding: 0px; text-align: left;&quot;&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;1.&lt;span style=&quot;font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;!--[endif]--&gt;Introduction to computers, Peter Norton, 7&lt;sup&gt;th&lt;/sup&gt;Edition&lt;/div&gt;&lt;div style=&quot;text-align: justify;&quot;&gt;2.&lt;span style=&quot;font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size-adjust: none; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-emoji: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;Computer Science An Overview, J. Glenn Brookshear 13&lt;sup&gt;th&lt;/sup&gt;&amp;nbsp;Edition&lt;span style=&quot;font-size: x-small;&quot;&gt;.&lt;/span&gt;&lt;/div&gt;&lt;/blockquote&gt;&lt;p&gt;&lt;span style=&quot;background-color: white; color: #111111; font-family: Roboto, sans-serif; font-size: small; text-align: justify;&quot;&gt;&lt;a href=&quot;https://salutionteach.blogspot.com/2025/03/exploring-computer-and-their-uses.html&quot;&gt;EXPLORING COMPUTER AND THEIR USES&lt;/a&gt;&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p style=&quot;margin: 6.4pt 0in 0.0001pt 0.5in; text-align: left;&quot;&gt;&lt;br /&gt;&lt;/p&gt;&lt;div&gt;&lt;span style=&quot;font-size: x-small;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='https://salutionteach.blogspot.com/feeds/711749009468298528/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='https://salutionteach.blogspot.com/2025/03/App. of Info  Communication Tech.html.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/711749009468298528'/><link rel='self' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/711749009468298528'/><link rel='alternate' type='text/html' href='https://salutionteach.blogspot.com/2025/03/App. of Info  Communication Tech.html.html' title='Application of Information &amp; Communication Technology'/><author><name>salutionteach</name><uri>http://www.blogger.com/profile/15753843071083819831</uri><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><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-8766011798057583516.post-4212554173269993179</id><published>2023-11-15T13:10:00.000-08:00</published><updated>2023-11-17T19:51:27.319-08:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="AES"/><category scheme="http://www.blogger.com/atom/ns#" term="DES"/><category scheme="http://www.blogger.com/atom/ns#" term="DES working"/><category scheme="http://www.blogger.com/atom/ns#" term="Encryption Algorithm"/><title type='text'>Encryption Algorithms</title><content type='html'>&lt;h1&gt;&lt;/h1&gt;&lt;h1 style=&quot;text-align: left;&quot;&gt;Encryption Algorithms:-&lt;/h1&gt;&lt;span style=&quot;font-size: large;&quot;&gt;Their are Symmetric Block Cipher Algorithms&lt;/span&gt;&lt;div&gt;&lt;div&gt;&lt;ol style=&quot;text-align: left;&quot;&gt;&lt;li&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;DES (Data Encryption Standard)&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;3DES (Triple DES)&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;AES (Advanced Encryption Standard)&lt;/span&gt;&lt;/li&gt;&lt;/ol&gt;&lt;h2 style=&quot;text-align: left;&quot;&gt;Data Encryption Standard (DES):-&lt;/h2&gt;&lt;/div&gt;&lt;div&gt;&lt;div&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;The main standard for encrypting data was a symmetric algorithm known as the Data Encryption Standard (DES). However, this has now been replaced by a new standard known as the Advanced Encryption Standard (AES) which we will look at later.&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;&amp;nbsp;DES is a 64 bit block cipher which means that it encrypts data 64 bits at a time. This is contrasted to a stream cipher in which only one bit at a time (or sometimes small groups of bits such as a byte) is encrypted.&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;h3 style=&quot;text-align: left;&quot;&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;History:-&lt;/span&gt;&lt;/h3&gt;&lt;div&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;DES was the result of a research project set up by International Business Machines (IBM) Corporation in the late 1960’s which resulted in a cipher known as LUCIFER. In the early 1970’s it was decided to commercialize LUCIFER and a number of significant changes were introduced. IBM was not the only one involved in these changes as they sought technical advice from the National Security Agency (NSA) (other outside consultants were involved but it is likely that the NSA were the major contributors from a technical point of view). The altered version of LUCIFER was put forward as a proposal for the new national encryption standard requested by the National Bureau of Standards (NBS)3 . It was finally adopted in 1977 as the Data Encryption Standard- DES . Some of the changes made to LUCIFER have been the subject of much controversy even to the present day. The most notable of these was the key size.&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;LUCIFER used a key size of 128 bits however this was reduced to 56 bits for DES. Even though DES actually accepts a 64 bit key as input, the remaining eight bits are used for parity checking and have no effect on DES’s security. Outsiders were convinced that the 56 bit key was an easy target for a brute force attack4 due to its extremely small size. The need for the parity checking scheme was also questioned without satisfying answers.&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;h3 style=&quot;text-align: left;&quot;&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;working:-&lt;/span&gt;&lt;/h3&gt;&lt;div&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;&lt;div&gt;DES (and most of the other major symmetric ciphers) is based on a cipher known as the&amp;nbsp;&lt;/div&gt;&lt;div&gt;Feistel block cipher. It consists of a number of rounds where each round contains bit-shuffling, non- linear substitutions (S-boxes) and exclusive OR operations.&amp;nbsp;&lt;/div&gt;&lt;div&gt;As with most encryption schemes, DES expects two inputs - the plaintext to be encrypted and the secret key. The manner in which the plaintext is accepted, and the key arrangement used for encryption and decryption, both determine the type of cipher it is.&amp;nbsp;&lt;/div&gt;&lt;div&gt;DES is therefore a symmetric, 64 bit block cipher as it uses the same key for both encryption and decryption and only operates on 64 bit blocks of data at a time5 (be they plaintext or ciphertext).&amp;nbsp;&lt;/div&gt;&lt;div&gt;The key size used is 56 bits, however a 64 bit (or eight-byte) key is actually input. The least significant bit of each byte is either used for parity (odd for DES) or set arbitrarily and does not increase the security in any way. All blocks are numbered from left to right which makes the eight bit of each byte the parity bit.&lt;/div&gt;&lt;div&gt;Once a plain-text message is received to be encrypted, it is arranged into 64 bit blocks&amp;nbsp;&lt;/div&gt;&lt;div&gt;required for input. If the number of bits in the message is not evenly divisible by 64, then the last block will be padded. Multiple permutations and substitutions are incorporated&amp;nbsp;&lt;/div&gt;&lt;div&gt;throughout in order to increase the difficulty of performing a cryptanalysis on the cipher.&lt;/div&gt;&lt;div&gt;&lt;br /&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/b/R29vZ2xl/AVvXsEiEgE87yhj069sNQjM2r_P-jkDbl_Df6Cj0dJ2ju7FiWFOeEFEA6zuMivR7jXvxtBOMkUZoebZ80OmPP0JnKsVMn6sdq2wocEKqWq-ki46gsARMHtdC05cOtkmMLz1YdoB5MZYHPVmrzFf3G7gJRtUx0ep2-zRlzSkiVTX7fmS7g8qeMRD13mFz8qb4XQQ/s1176/DES.png&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; data-original-height=&quot;925&quot; data-original-width=&quot;1176&quot; height=&quot;315&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiEgE87yhj069sNQjM2r_P-jkDbl_Df6Cj0dJ2ju7FiWFOeEFEA6zuMivR7jXvxtBOMkUZoebZ80OmPP0JnKsVMn6sdq2wocEKqWq-ki46gsARMHtdC05cOtkmMLz1YdoB5MZYHPVmrzFf3G7gJRtUx0ep2-zRlzSkiVTX7fmS7g8qeMRD13mFz8qb4XQQ/w400-h315/DES.png&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;/span&gt;&lt;h2 style=&quot;clear: both;&quot;&gt;&lt;br /&gt;AES (ADVANCED ENCRYPTION ALGORITHM):-&lt;/h2&gt;&lt;p style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: Cambria, serif; font-size: medium; font-weight: normal;&quot;&gt;AES is a block cipher with a block length of 128 bits.&amp;nbsp;&lt;br /&gt;&lt;/span&gt;AES allows for three different key lengths: 128, 192, or 256 bits.&amp;nbsp;&lt;br /&gt;Most of our discussion will assume that the key length is 128 bits.&amp;nbsp;&amp;nbsp;&lt;br /&gt;Encryption consists of&amp;nbsp;&lt;/p&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li&gt;&lt;span style=&quot;font-family: Cambria, serif;&quot;&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;10 rounds of processing for 128-bit keys,&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;&lt;/ul&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li&gt;&lt;span style=&quot;font-family: Cambria, serif;&quot;&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;12 rounds for 192-bit keys,&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;&lt;/ul&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;14 rounds for 256-bit keys.&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/li&gt;&lt;/ul&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;Except for the last round in each case, all other rounds are identical.&amp;nbsp; Each round of processing includes one single-byte base substitution step,&amp;nbsp; a row- wise permutation step, a column-wise mixing step, and the addition of&amp;nbsp; the&amp;nbsp; round&amp;nbsp; key.&amp;nbsp; The order in which&amp;nbsp; these four steps are executed is different for encryption&amp;nbsp; and decryption.&amp;nbsp;&lt;br /&gt;&lt;/span&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;• To appreciate the processing steps used in a single round, it is best to think of a 128-bit block as consisting of a 4 × 4 matrix of bytes, arranged as follows:&amp;nbsp;&lt;/span&gt;&lt;p&gt;&lt;/p&gt;&lt;/div&gt;&lt;div&gt;&lt;span style=&quot;line-height: 112%;&quot;&gt;&lt;span style=&quot;font-family: Cambria, serif;&quot;&gt;&lt;div&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-bottom: .25pt; margin-left: 58.1pt; margin-right: .7pt; margin-top: 0in; margin: 0in 0.7pt 0.25pt 58.1pt; text-align: left; text-indent: -47.05pt;&quot;&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;Therefore, the first four bytes of a
128-bit input block occupy the first column in the 4 × 4 matrix of bytes. The
next four bytes occupy the second column, and so on. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-bottom: .25pt; margin-left: 11.55pt; margin-right: .7pt; margin-top: 0in; margin: 0in 0.7pt 0.25pt 11.55pt; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;The 4×4 matrix of bytes shown above is referred to as the
state array in AES.&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-bottom: .25pt; margin-left: 11.55pt; margin-right: .7pt; margin-top: 0in; margin: 0in 0.7pt 0.25pt 11.55pt;&quot;&gt;&lt;br /&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-bottom: .25pt; margin-left: 11.55pt; margin-right: .7pt; margin-top: 0in; margin: 0in 0.7pt 0.25pt 11.55pt;&quot;&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/AVvXsEj_bKMW211uB5qQpWoMilio-sUY-6D_dC1IokfKvwVvhW4CW413ExW2jTnvplLnglRO4obyiku5K54ORGuTHyvxK834mosZRYuYUGOiO7h9Wb8-HbY1eZPmjsM9crYPQPp_cSQ2B_K1wP84eHyrCTWIplGnkwwtMm9jur6vwT_k4Cq2PPuo5LH1qFR1fCQ/s565/AES.jpg&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; data-original-height=&quot;530&quot; data-original-width=&quot;565&quot; height=&quot;375&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj_bKMW211uB5qQpWoMilio-sUY-6D_dC1IokfKvwVvhW4CW413ExW2jTnvplLnglRO4obyiku5K54ORGuTHyvxK834mosZRYuYUGOiO7h9Wb8-HbY1eZPmjsM9crYPQPp_cSQ2B_K1wP84eHyrCTWIplGnkwwtMm9jur6vwT_k4Cq2PPuo5LH1qFR1fCQ/w400-h375/AES.jpg&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;p&gt;&lt;/p&gt;&lt;p style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;The algorithm begins with an Add round key stage followed by 9 rounds of four stages and a tenth round of three stages.&amp;nbsp;&lt;br /&gt;&lt;/span&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;This applies for both encryption and decryption with the exception that each stage of a round the decryption algorithm is the inverse of its counterpart in the encryption algorithm.&amp;nbsp;&lt;br /&gt;&lt;/span&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;The four stages are as follows: 1. Substitute bytes 2. Shift rows 3. Mix Columns 4. Add&amp;nbsp;&lt;br /&gt;&lt;/span&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;Round Key.&lt;/span&gt;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;h3 style=&quot;clear: both; text-align: left;&quot;&gt;Substitute Bytes:-&lt;/h3&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;p style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;•This stage (known as Sub Bytes) is simply a table lookup using a 16 × 16 matrix of byte values called an s-box.&amp;nbsp;&lt;br /&gt;&lt;/span&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;•This matrix consists of all the possible combinations of an 8 bit sequence (28 = 16 × 16 = 256).&amp;nbsp;&lt;br /&gt;&lt;/span&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;•However, the s-box is not just a random permutation of these values and there is a well defined method for creating the s-box tables.&amp;nbsp;&lt;br /&gt;&lt;/span&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;•The designers of Rijndael showed how this was done unlike the s-boxes in DES for which no rationale was given. Our concern will be how state is effected in each round.&amp;nbsp;&lt;br /&gt;&lt;/span&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;•For this particular round each byte is mapped into a new byte in the following way: the leftmost nibble of the byte is used to specify a particular row of the s-box and the rightmost nibble specifies a column.&amp;nbsp;&lt;br /&gt;&lt;/span&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;•For example, the byte {95} (curly brackets represent hex values in FIPS PUB 197) selects row 9 column 5 which turns out to contain the value {2A}.&amp;nbsp;&lt;br /&gt;&lt;/span&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;•&lt;span style=&quot;white-space: pre;&quot;&gt;	&lt;/span&gt;This is then used to update the state matrix.&amp;nbsp;&lt;/span&gt;&lt;/p&gt;&lt;div&gt;&lt;br /&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/b/R29vZ2xl/AVvXsEgeKmEg6RSNT2oZcgpSgXgfkYFilfPRYou6YdjJ4h1purQOOc9bYqReLpesBmWJYBoVeR0PFZ_j8Nj1BTk3xmDBozw4CRKn4Hh7Z91tFMd76Yp9EK5-WnOIl3r1DT0pknBs8TB3I1ERZJ5G705JcP8w5ZcNfqm4kKlihtKYDOvARf9yoTNZ0qqywNESYL0/s484/subsitition%20byte.jpg&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; data-original-height=&quot;289&quot; data-original-width=&quot;484&quot; height=&quot;239&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgeKmEg6RSNT2oZcgpSgXgfkYFilfPRYou6YdjJ4h1purQOOc9bYqReLpesBmWJYBoVeR0PFZ_j8Nj1BTk3xmDBozw4CRKn4Hh7Z91tFMd76Yp9EK5-WnOIl3r1DT0pknBs8TB3I1ERZJ5G705JcP8w5ZcNfqm4kKlihtKYDOvARf9yoTNZ0qqywNESYL0/w400-h239/subsitition%20byte.jpg&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div&gt;&lt;h3 style=&quot;text-align: left;&quot;&gt;Shift Row Transformation:-&lt;/h3&gt;&lt;p style=&quot;text-align: left;&quot;&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;•&lt;span style=&quot;white-space: pre;&quot;&gt;	&lt;/span&gt;This stage (known as Shift Rows) is shown in figure below.&amp;nbsp;&lt;br /&gt;&lt;/span&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;•&lt;span style=&quot;white-space: pre;&quot;&gt;	&lt;/span&gt;Simple permutation an nothing more.&amp;nbsp;&lt;br /&gt;&lt;/span&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;•&lt;span style=&quot;white-space: pre;&quot;&gt;	&lt;/span&gt;It works as follow: – The first row of state is not altered. – The second row is shifted 1 bytes to the left in a circular manner. – The third row is shifted 2 bytes to the left in a circular manner. – The fourth row is shifted 3 bytes to the left in a circular manner.&amp;nbsp;&lt;/span&gt;&lt;/p&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&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/b/R29vZ2xl/AVvXsEjhD3nyNHLU4VOqOSBwpHaS0qwOej18zNGsE-0-ZnZULJ4E7qFJlOXoXrpgeZs55Kad2utW4W-ef6IxsYaYurDK2-7937VbukT5M1GsF9cHP_OisMsbkfezWMqdAroZwoaxocLoF1X2eMJO-c8PSdVAvT9rFvIg5w9ErP5xH7d1Eeg40_P5rICM-KDfcd4/s704/shift%20row.jpg&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; data-original-height=&quot;268&quot; data-original-width=&quot;704&quot; height=&quot;153&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjhD3nyNHLU4VOqOSBwpHaS0qwOej18zNGsE-0-ZnZULJ4E7qFJlOXoXrpgeZs55Kad2utW4W-ef6IxsYaYurDK2-7937VbukT5M1GsF9cHP_OisMsbkfezWMqdAroZwoaxocLoF1X2eMJO-c8PSdVAvT9rFvIg5w9ErP5xH7d1Eeg40_P5rICM-KDfcd4/w400-h153/shift%20row.jpg&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: left;&quot;&gt;&lt;h3 style=&quot;clear: both; text-align: left;&quot;&gt;MIX COLUMN TRANSFORMATION:-&lt;/h3&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;•&lt;span style=&quot;white-space: pre;&quot;&gt;	&lt;/span&gt;This stage (known as Mix Column) is basically a substitution&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;•&lt;span style=&quot;white-space: pre;&quot;&gt;	&lt;/span&gt;Each column is operated on individually. Each byte of a column is mapped into a new value that is a function of all four bytes in the column.&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;•&lt;span style=&quot;white-space: pre;&quot;&gt;	&lt;/span&gt;The transformation can be determined by the following matrix multiplication on state&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;•&lt;span style=&quot;white-space: pre;&quot;&gt;	&lt;/span&gt;Each element of the product matrix is the sum of products of elements of one row and one column.&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;br /&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/b/R29vZ2xl/AVvXsEjTs1ANFyz9Qc0T06HqVaDJiTsyNzcrY3Ocr2oosy36NqRiPFleXWxC2EIXs8HQTGgllHZfLfAeuE4Pmv3liGQ1uWP6jkqfM-s_Asv1X1srbjIkoyZuaiNR7v3GxtoMznanHfypypkKbBTcGIqqwzgt9FIOke6ppDbfJJZ3vNZWMAPzOY4uQRZ0irRBTwE/s555/mix%20column.jpg&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img border=&quot;0&quot; data-original-height=&quot;254&quot; data-original-width=&quot;555&quot; height=&quot;183&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTs1ANFyz9Qc0T06HqVaDJiTsyNzcrY3Ocr2oosy36NqRiPFleXWxC2EIXs8HQTGgllHZfLfAeuE4Pmv3liGQ1uWP6jkqfM-s_Asv1X1srbjIkoyZuaiNR7v3GxtoMznanHfypypkKbBTcGIqqwzgt9FIOke6ppDbfJJZ3vNZWMAPzOY4uQRZ0irRBTwE/w400-h183/mix%20column.jpg&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;h3 style=&quot;clear: both; text-align: left;&quot;&gt;ADD ROUND KEY TRANSFORMATION:-&amp;nbsp;&lt;/h3&gt;&lt;p style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;•&lt;span style=&quot;white-space: pre;&quot;&gt;	&lt;/span&gt;In this stage (known as Add Round Key) the 128 bits of state are bitwise XORed with the 128 bits of the round key.&amp;nbsp;&lt;br /&gt;&lt;/span&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;•&lt;span style=&quot;white-space: pre;&quot;&gt;	&lt;/span&gt;The operation is viewed as a column wise operation between the 4 bytes of a state column and one word of the round key.&amp;nbsp;&lt;br /&gt;&lt;/span&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;•&lt;span style=&quot;white-space: pre;&quot;&gt;	&lt;/span&gt;This transformation is as simple as possible which helps in efficiency but it also effects every bit of state.&amp;nbsp;&lt;br /&gt;&lt;/span&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;•&lt;span style=&quot;white-space: pre;&quot;&gt;	&lt;/span&gt;The AES key expansion algorithm takes as input a 4-word key and produces a linear array of 44 words. Each round uses 4 of these words as shown in figure.&amp;nbsp;&lt;br /&gt;&lt;/span&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;•&lt;span style=&quot;white-space: pre;&quot;&gt;	&lt;/span&gt;Each word contains 32 bytes which means each subkey is 128 bits long. Figure 7 show pseudocode for generating the expanded key from the actual key.&amp;nbsp;&lt;/span&gt;&lt;/p&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;/div&gt;&lt;br /&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-bottom: .25pt; margin-left: 11.55pt; margin-right: .7pt; margin-top: 0in; margin: 0in 0.7pt 0.25pt 11.55pt;&quot;&gt;&lt;br /&gt;&lt;/p&gt;&lt;/div&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='https://salutionteach.blogspot.com/feeds/4212554173269993179/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='https://salutionteach.blogspot.com/2023/11/encryption-algorithms.html#comment-form' title='1 Comments'/><link rel='edit' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/4212554173269993179'/><link rel='self' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/4212554173269993179'/><link rel='alternate' type='text/html' href='https://salutionteach.blogspot.com/2023/11/encryption-algorithms.html' title='Encryption Algorithms'/><author><name>salutionteach</name><uri>http://www.blogger.com/profile/15753843071083819831</uri><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/AVvXsEiEgE87yhj069sNQjM2r_P-jkDbl_Df6Cj0dJ2ju7FiWFOeEFEA6zuMivR7jXvxtBOMkUZoebZ80OmPP0JnKsVMn6sdq2wocEKqWq-ki46gsARMHtdC05cOtkmMLz1YdoB5MZYHPVmrzFf3G7gJRtUx0ep2-zRlzSkiVTX7fmS7g8qeMRD13mFz8qb4XQQ/s72-w400-h315-c/DES.png" height="72" width="72"/><thr:total>1</thr:total></entry><entry><id>tag:blogger.com,1999:blog-8766011798057583516.post-5373180345750092248</id><published>2023-11-11T05:48:00.001-08:00</published><updated>2023-11-11T05:48:32.649-08:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Digital signature"/><category scheme="http://www.blogger.com/atom/ns#" term="Information Security"/><title type='text'>Digital Signature</title><content type='html'>&lt;h2&gt;Digital signature:-&lt;/h2&gt;&lt;p style=&quot;text-align: left;&quot;&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;&lt;span style=&quot;font-family: inherit; font-size: medium;&quot;&gt;The most important development from the work on public-key cryptography is the digital signature. Message authentication protects two parties who exchange messages from any third party. However, it does not protect the two parties against each other. A digital signature is analogous to the handwritten signature, and provides a set of security capabilities that would be difficult to implement in any other way. It must have the following properties:&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;p style=&quot;text-align: left;&quot;&gt;&lt;/p&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li&gt;&lt;span style=&quot;font-family: inherit; font-size: medium;&quot;&gt;It must verify the author and the date and time of the signature&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style=&quot;font-family: inherit; font-size: medium;&quot;&gt;It must to authenticate the contents at the time of the signature&amp;nbsp;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style=&quot;font-family: inherit; font-size: medium;&quot;&gt;It must be verifiable by third parties, to resolve disputes&lt;/span&gt;&lt;/li&gt;&lt;/ul&gt;&lt;div&gt;&lt;span style=&quot;font-family: inherit; font-size: medium;&quot;&gt;Thus, the digital signature function includes the authentication function. A variety of approaches has been 
proposed for the digital signature function.&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;span style=&quot;font-family: inherit; font-size: medium;&quot;&gt;These approaches fall into two categories: direct and arbitrated.&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;div&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li&gt;&lt;span style=&quot;font-family: inherit; font-size: medium;&quot;&gt;Operation is similar to that of the MAC.&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style=&quot;font-family: inherit; font-size: medium;&quot;&gt;The hash value of a message is encrypted&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: inherit; font-size: large;&quot;&gt;with a user’s private key.&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style=&quot;font-family: inherit; font-size: medium;&quot;&gt;Anyone who knows the user’s public key can&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: inherit; font-size: large;&quot;&gt;verify the integrity of the message.&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style=&quot;font-family: inherit; font-size: medium;&quot;&gt;An attacker who wishes to alter the message&amp;nbsp;&lt;/span&gt;&lt;span style=&quot;font-family: inherit; font-size: large;&quot;&gt;would need to know the user’s private key.&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style=&quot;font-family: inherit; font-size: medium;&quot;&gt;Implications of digital signatures go beyond&amp;nbsp; just message authentication.&lt;/span&gt;&lt;/li&gt;&lt;/ul&gt;&lt;div&gt;&lt;span style=&quot;font-size: medium;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&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;a href=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEi9ybcyf3Ix8S-_vh1jDqL4IJ6O7IKLLkwQdf6zqzw1qOqlPX6ajox3FzOAwc4JFiyvAsl3TaRsej3FK1QoZBZfB593hwQTGUQIWIo4TpjqoQaRQZ2X0ahM1xW8V2jJORel8euj99zmbUE3NY89795azjBc3r-9eHgyrD-scsWGEoD1DFkUyCb0vg39IxE&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;889&quot; 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data-original-height=&quot;1125&quot; data-original-width=&quot;1248&quot; height=&quot;361&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEi9LNWKsZRUUhYcgXl4dSkcED-zvm6yB9LUSKOkGjYFKrnCvOT5gMUTwsuSYXL1RrWW2JTZGQkDHURWJtoZ9MTDXYyVbSYpszNq1_Ob_b9aBofvwzTX6NmoavrFs3IfZ7iOXPDvN-XCSp4jTH4zorVvCW3mjvSBWWOfjrBqBY9E--ulTS_YL71AT4DlfS4=w400-h361&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 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;a href=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEjHVCFMFkq5epNjd_hBgcQGxWaL1RdeUe3xDJ4hfuYtag5bZNm8LfdtblbaUU8u15xOWfO9sqGKuQqTNg5aYLFxudRh6zK6RlCjOEN2LwTzE1jvrBe9qR1v-Xrrg6OXxdx3pe-hycoBvtJyzLiDcQEgMJ4XY4kHPaLx7T7limMooebHYf-2chQEcN57b-E&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;1125&quot; data-original-width=&quot;1152&quot; height=&quot;390&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEjHVCFMFkq5epNjd_hBgcQGxWaL1RdeUe3xDJ4hfuYtag5bZNm8LfdtblbaUU8u15xOWfO9sqGKuQqTNg5aYLFxudRh6zK6RlCjOEN2LwTzE1jvrBe9qR1v-Xrrg6OXxdx3pe-hycoBvtJyzLiDcQEgMJ4XY4kHPaLx7T7limMooebHYf-2chQEcN57b-E=w400-h390&quot; width=&quot;400&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;br /&gt;&lt;/div&gt;&lt;br /&gt;&lt;br /&gt;&lt;/div&gt;&lt;p&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='https://salutionteach.blogspot.com/feeds/5373180345750092248/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='https://salutionteach.blogspot.com/2023/11/digital-signature.html#comment-form' title='1 Comments'/><link rel='edit' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/5373180345750092248'/><link rel='self' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/5373180345750092248'/><link rel='alternate' type='text/html' href='https://salutionteach.blogspot.com/2023/11/digital-signature.html' title='Digital Signature'/><author><name>salutionteach</name><uri>http://www.blogger.com/profile/15753843071083819831</uri><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/AVvXsEi9ybcyf3Ix8S-_vh1jDqL4IJ6O7IKLLkwQdf6zqzw1qOqlPX6ajox3FzOAwc4JFiyvAsl3TaRsej3FK1QoZBZfB593hwQTGUQIWIo4TpjqoQaRQZ2X0ahM1xW8V2jJORel8euj99zmbUE3NY89795azjBc3r-9eHgyrD-scsWGEoD1DFkUyCb0vg39IxE=s72-w400-h307-c" height="72" width="72"/><thr:total>1</thr:total></entry><entry><id>tag:blogger.com,1999:blog-8766011798057583516.post-1519795491276054620</id><published>2023-11-09T05:56:00.003-08:00</published><updated>2023-11-09T05:57:20.422-08:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Distribution of public keys"/><category scheme="http://www.blogger.com/atom/ns#" term="key management"/><category scheme="http://www.blogger.com/atom/ns#" term="keys"/><category scheme="http://www.blogger.com/atom/ns#" term="public key encryption to distribute secret key"/><title type='text'>Key Management</title><content type='html'>&lt;h2 style=&quot;text-align: left;&quot;&gt;Key Management:-&lt;/h2&gt;&lt;div style=&quot;text-align: left;&quot;&gt;&lt;p&gt;One of the major roles of public-key encryption has been to address the problem of key distribution. Two distinct aspects to use of public key encryption are present.&amp;nbsp;&lt;/p&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li&gt;The distribution of public keys.&amp;nbsp;&lt;/li&gt;&lt;/ul&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li&gt;Use of public-key encryption to distribute secret key&lt;/li&gt;&lt;/ul&gt;&lt;h3 style=&quot;text-align: left;&quot;&gt;&lt;b&gt;Distribution of Public Keys:&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;/b&gt;&lt;/h3&gt;&lt;p style=&quot;text-align: left;&quot;&gt; The most general schemes for distribution of public keys are given below&amp;nbsp;&lt;/p&gt;&lt;p&gt;&lt;/p&gt;&lt;div&gt;&lt;div&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li&gt;Public announcement of public keys&lt;/li&gt;&lt;li&gt;Publicly available directory&lt;/li&gt;&lt;li&gt;Public key authority&lt;/li&gt;&lt;li&gt;Public key certificates&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;&lt;b&gt;PUBLIC ANNOUNCEMENT OF PUBLIC KEYS:-&lt;/b&gt;&lt;/h4&gt;&lt;div&gt;Here any participant can send his or her public key to any other participant or broadcast the key to the community at large. For example, many PGP users have adopted the practice of appending their public key to messages that they send to public forums.&amp;nbsp;&lt;/div&gt;&lt;div&gt;&lt;div&gt;Though this approach seems convenient, it has a major drawback. Anyone can forge such a public announcement.&amp;nbsp;&lt;/div&gt;&lt;div&gt;Some user could pretend to be user A and send a public key to another participant or broadcast such a public key. Until the time when A discovers about the forgery and alerts other participants, the forger is able to read all encrypted messages intended for A and can use the forged keys for authentication.&amp;nbsp;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div style=&quot;text-align: left;&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/AVvXsEgzt6R0OceB2UzDgSmBbsrmYFJ6KV86b_0rVc4pIxN2_x10jWwhHQkmF2oeO_qk5txOkJolALUKGRJEj6AQN2SzbDRLJeRpqlLvJxDrKZt9DKjwTCJdTDp_8z3DoQV7kw2oPx3CtWvfW4eeeeAhxW6K1bJdjdP0iDuIto6FFLq2pWjbV-OCAQNp-ek1cWY&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;363&quot; data-original-width=&quot;778&quot; height=&quot;149&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEgzt6R0OceB2UzDgSmBbsrmYFJ6KV86b_0rVc4pIxN2_x10jWwhHQkmF2oeO_qk5txOkJolALUKGRJEj6AQN2SzbDRLJeRpqlLvJxDrKZt9DKjwTCJdTDp_8z3DoQV7kw2oPx3CtWvfW4eeeeAhxW6K1bJdjdP0iDuIto6FFLq2pWjbV-OCAQNp-ek1cWY=w320-h149&quot; width=&quot;320&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;h4 style=&quot;text-align: left;&quot;&gt;PUBLICLY AVAILABLE DIRECTORY:-&lt;/h4&gt;&lt;/div&gt;&lt;div&gt;&lt;div style=&quot;text-align: left;&quot;&gt;A greater degree of security can be achieved by maintaining a publicly available dynamic directory of public keys. Maintenance and distribution of the public directory would have to be the responsibility of some trusted entity or organization. It includes the following elements:&amp;nbsp;&lt;/div&gt;&lt;div style=&quot;text-align: left;&quot;&gt;&lt;ol style=&quot;text-align: left;&quot;&gt;&lt;li&gt;The authority maintains a directory with a {name, public key} entry for each participant.&amp;nbsp;&lt;/li&gt;&lt;li&gt;Each participant registers a public key with the directory authority. Registration would have to be in person or by some form of secure authenticated communication.&amp;nbsp;&lt;/li&gt;&lt;li&gt;&amp;nbsp; A participant may replace the existing key with a new one at any time, either because of the desire to replace a public key that has already been used for a large amount of data, or because the corresponding private key has been compromised in some way.&amp;nbsp;&lt;/li&gt;&lt;li&gt;&amp;nbsp; Participants could also access the directory electronically. For this purpose, secure, authenticated communication from the authority to the participant is mandatory. This scheme has still got some vulnerabilities. If an adversary succeeds in obtaining or computing the private key of the directory authority, the adversary could authoritatively pass out counterfeit public keys and subsequently impersonate any participant and eavesdrop on messages sent to any participant. Or else, the adversary may tamper with the records kept by the authority.&lt;/li&gt;&lt;/ol&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/AVvXsEj4Fe9RDHKCp0Bpoi2hn_OsXjezzZMRKLvT-u-hUroLcEu8MBjXJH8NeEJnBYr9XG2ncBFzj7YlSDklyubFwApJZdL6DphkO19U11fN0YF_MVoMGl52aYjWeMoCZqF-NW2jLpdh14J3xVafZ6dTrKz0wQ-CBjgEVIYTPGyQv7082LVgkga_dlP0M43ONis&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;649&quot; data-original-width=&quot;1073&quot; height=&quot;194&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEj4Fe9RDHKCp0Bpoi2hn_OsXjezzZMRKLvT-u-hUroLcEu8MBjXJH8NeEJnBYr9XG2ncBFzj7YlSDklyubFwApJZdL6DphkO19U11fN0YF_MVoMGl52aYjWeMoCZqF-NW2jLpdh14J3xVafZ6dTrKz0wQ-CBjgEVIYTPGyQv7082LVgkga_dlP0M43ONis&quot; width=&quot;320&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;h4 style=&quot;clear: both; text-align: left;&quot;&gt;PUBLIC-KEY AUTHORITY:-&lt;/h4&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;Stronger security for public-key distribution can be achieved by providing tighter control over the distribution of public keys from the directory. This scenario assumes the existence of a public authority (whoever that may be) that maintains a dynamic directory of public keys of all users.&amp;nbsp;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;The public authority has its own (private key, public key) that it is using to communicate to users. Each participant reliably knows a public key for the authority, with only the authority knowing the corresponding private key. For example, consider that Alice and Bob wish to communicate with each other and the following steps take place and are also shown in the figure below:&amp;nbsp;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&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/AVvXsEgm5WyoS6vSI-Yjpx3rGe56EqmjFp3bGVEJyp1Haw2ieWrHi8KRt689kUhZ2iOLnq53TqnrEwBHAufSGAPuJcUkpuAyEmX5GeqltYNlAnl9D1bx74dc-tnaEEdseA05V-GJTOIFNnAQsBCqN8lHxfmG2dx6RPPOQopTYlZEYTKa3uD7AZWdFSFOpk_Ag54&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;682&quot; data-original-width=&quot;1299&quot; height=&quot;210&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEgm5WyoS6vSI-Yjpx3rGe56EqmjFp3bGVEJyp1Haw2ieWrHi8KRt689kUhZ2iOLnq53TqnrEwBHAufSGAPuJcUkpuAyEmX5GeqltYNlAnl9D1bx74dc-tnaEEdseA05V-GJTOIFNnAQsBCqN8lHxfmG2dx6RPPOQopTYlZEYTKa3uD7AZWdFSFOpk_Ag54=w400-h210&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;br /&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;1.) Alice sends a timestamped message to the central authority with a request for Bob’s public key (the time stamp is to mark the moment of the request)&amp;nbsp;&lt;/div&gt;&lt;div&gt;2.) The authority sends back a message encrypted with its private key (for authentication) –message contains Bob’s public key and the original message of Alice – this way Alice knows this is not a reply to an old request;&amp;nbsp;&lt;/div&gt;&lt;div&gt;3.)&lt;span style=&quot;white-space: pre;&quot;&gt;	&lt;/span&gt;Alice starts the communication to Bob by sending him an encrypted message containing her identity IDA and a nonce N1 (to identify uniquely this transaction)&amp;nbsp;&lt;/div&gt;&lt;div&gt;4.)&lt;span style=&quot;white-space: pre;&quot;&gt;	&lt;/span&gt;Bob requests Alice’s public key in the same way (step 1)&amp;nbsp;&lt;/div&gt;&lt;div&gt;5.)&lt;span style=&quot;white-space: pre;&quot;&gt;	&lt;/span&gt;Bob acquires Alice’s public key in the same way as Alice did. (Step-2)&amp;nbsp;&lt;/div&gt;&lt;div&gt;6.) Bob replies to Alice by sending an encrypted message with N1 plus a new generated nonce N2 (to identify uniquely the transaction)&amp;nbsp;&lt;/div&gt;&lt;div&gt;7.) Alice replies once more encrypting Bob’s nonce N2 to assure bob that its correspondent is Alice&amp;nbsp;&lt;/div&gt;&lt;div&gt;Thus, a total of seven messages are required. However, the initial four messages need be used only infrequently because both A and B can save the other&#39;s public key for future use, a technique known as caching. Periodically, a user should request fresh copies of the public keys of its correspondents to ensure currency.&amp;nbsp;&lt;/div&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;PUBLIC-KEY CERTIFICATES:-&lt;/h4&gt;&lt;div&gt;The above technique looks attractive, but still has some drawbacks. For any communication between any two users, the central authority must be consulted by both users to get the newest public keys i.e. the central authority must be online 24 hours/day.&amp;nbsp;&lt;/div&gt;&lt;div&gt;If the central authority goes offline, all secure communications get to a halt. This clearly leads to an undesirable bottleneck.&amp;nbsp;&lt;/div&gt;&lt;div&gt;A further improvement is to use certificates, which can be used to exchange keys without contacting a public-key authority, in a way that is as reliable as if the keys were obtained directly from a public-key authority. A certificate binds an identity to public key, with all contents signed by a trusted Public-Key or Certificate Authority (CA).&amp;nbsp;&lt;/div&gt;&lt;div&gt;A user can present his or her public key to the authority in a secure manner, and obtain a certificate. The user can then publish the certificate. Anyone needed this user&#39;s public key can obtain the certificate and verify that it is valid by way of the attached trusted signature. A participant can also convey its key information to another by transmitting its certificate.&amp;nbsp;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;div&gt;Other participants can verify that the certificate was created by the authority. This certificate issuing scheme does have the following requirements:&amp;nbsp;&lt;/div&gt;&lt;div&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li&gt;Any participant can read a certificate to determine the name and public key of the certificate&#39;s owner.&amp;nbsp;&lt;/li&gt;&lt;li&gt;Any participant can verify that the certificate originated from the certificate authority and is not counterfeit.&amp;nbsp;&lt;/li&gt;&lt;li&gt;Only the certificate authority can create and update certificates.&amp;nbsp;&lt;/li&gt;&lt;li&gt;Any participant can verify the currency of the certificate.&amp;nbsp;&lt;/li&gt;&lt;/ul&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;a href=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEia07ODm22poTsA1zgwz1pV-QYJNILyrPqQOb8MOtMMgP5gjLBicxgE6NQD1yJiXuSHUsjt7ks9JzEtY4x0djJtaPHm3y8cy4v3lvyAQui-GdsRH_KUWHwYxUGIvbGnXj8DSOZ4VJ9B7V8-E3D-1qcyPzPqSyj6sSS7jR55118HgKYNinGbdh1_M0MfDxM&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;755&quot; data-original-width=&quot;1402&quot; height=&quot;215&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEia07ODm22poTsA1zgwz1pV-QYJNILyrPqQOb8MOtMMgP5gjLBicxgE6NQD1yJiXuSHUsjt7ks9JzEtY4x0djJtaPHm3y8cy4v3lvyAQui-GdsRH_KUWHwYxUGIvbGnXj8DSOZ4VJ9B7V8-E3D-1qcyPzPqSyj6sSS7jR55118HgKYNinGbdh1_M0MfDxM=w400-h215&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: left;&quot;&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li&gt;Application must be in person or by some form of secure authenticated communication. For participant A, the authority provides a certificate of the form CA = E(PRauth, [T||IDA||PUa]) where PRauth is the private key used by the authority&amp;nbsp; and&amp;nbsp; T is a timestamp.&lt;/li&gt;&lt;li&gt;&amp;nbsp;A may then pass this certificate on to any other participant,&amp;nbsp; who reads and verifies the certificate as follows: D(PUauth, CA) = D(PUauth, E(PRauth, [T||IDA||PUa])) = (T||IDA||PUa)&amp;nbsp;&lt;/li&gt;&lt;li&gt;The recipient uses the authority&#39;s public key, PUauth to decrypt the certificate. Because the certificate is readable only using the authority&#39;s public key, this verifies that the certificate came from the certificate authority.&amp;nbsp;&lt;/li&gt;&lt;li&gt;The elements IDA and PUa provide the recipient with the name and public key of the certificate&#39;s holder. The timestamp T validates the currency of the certificate.&amp;nbsp;&lt;/li&gt;&lt;li&gt;The timestamp counters the following scenario. A&#39;s private key is learned by an adversary. A generates a new private/public key pair and applies to the certificate authority for a new certificate. Meanwhile, the adversary replays the old certificate to B. If B then encrypts messages using the compromised old public key, the adversary can read those messages.&amp;nbsp;&lt;/li&gt;&lt;li&gt;In this context, the compromise of a private key is comparable to the loss of a credit&amp;nbsp; card. The owner cancels the credit card number but is at risk until all possible communicants are aware that the old credit card is obsolete. Thus, the timestamp serves as something like an expiration date. If a certificate is sufficiently old, it is assumed to be expired.&amp;nbsp;&lt;/li&gt;&lt;li&gt;One scheme has become universally accepted for formatting public-key certificates: the&amp;nbsp;&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;X.509 standard. X.509 certificates are used in most network security applications, including IP security, secure sockets layer (SSL), and secure electronic transactions (SET).&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;h3 style=&quot;clear: both; text-align: left;&quot;&gt;SECRET KEY DISTRIBUTION WITH CONFIDENTIALITY AND AUTHENTICATION:-&lt;/h3&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;It is assumed that A and B have exchanged public keys by one of the schemes described earlier. Then the following steps occur:&amp;nbsp;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;1.&lt;span style=&quot;white-space: pre;&quot;&gt;	&lt;/span&gt;A uses B&#39;s public key to encrypt a message to B containing an identifier of A (IDA) and a nonce (N1), which is used to identify this transaction uniquely.&amp;nbsp;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;2.&lt;span style=&quot;white-space: pre;&quot;&gt;	&lt;/span&gt;B sends a message to A encrypted with PUa and containing A&#39;s nonce (N1) as well as a new nonce generated by B (N2) Because only B could have decrypted message (1), the presence of N1 in message (2) assures A that the correspondent is B.&amp;nbsp;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;3.&lt;span style=&quot;white-space: pre;&quot;&gt;	&lt;/span&gt;A returns N2 encrypted using B&#39;s public key, to assure B that its correspondent is A.&amp;nbsp;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;4.&lt;span style=&quot;white-space: pre;&quot;&gt;	&lt;/span&gt;A selects a secret key Ks and sends M = E(PUb, E(PRa, Ks)) to B. Encryption of this message with B&#39;s public key ensures that only B can read it; encryption with A&#39;s private key ensures that only A could have sent it.&amp;nbsp;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;5.&lt;span style=&quot;white-space: pre;&quot;&gt;	&lt;/span&gt;B computes D(PUa, D(PRb, M)) to recover the secret key.&amp;nbsp;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;The result is that this scheme ensures both confidentiality and authentication in the exchange of a secret key.&amp;nbsp;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&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/AVvXsEiUno4g01oFuh24sD0rPaNTswnsOwSY1r9V0KpqsovN-OKNNzmNVDBfvwtrBgmFsDbxI1-BNt4jOm-UiFhdyuAZBMdZxcJsC4Ci0DLSVRbJqtNw7AdWyg5hjpnuUdH-apG5cY5E2k4_iI_Nvk4Vg0S19wP9xanbOdzqWs9jdBLa237leiT4SZMrjee-of0&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;329&quot; data-original-width=&quot;938&quot; height=&quot;140&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEiUno4g01oFuh24sD0rPaNTswnsOwSY1r9V0KpqsovN-OKNNzmNVDBfvwtrBgmFsDbxI1-BNt4jOm-UiFhdyuAZBMdZxcJsC4Ci0DLSVRbJqtNw7AdWyg5hjpnuUdH-apG5cY5E2k4_iI_Nvk4Vg0S19wP9xanbOdzqWs9jdBLa237leiT4SZMrjee-of0=w400-h140&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;br /&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;br /&gt;&lt;br /&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='https://salutionteach.blogspot.com/feeds/1519795491276054620/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='https://salutionteach.blogspot.com/2023/11/key-management.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/1519795491276054620'/><link rel='self' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/1519795491276054620'/><link rel='alternate' type='text/html' href='https://salutionteach.blogspot.com/2023/11/key-management.html' title='Key Management'/><author><name>salutionteach</name><uri>http://www.blogger.com/profile/15753843071083819831</uri><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/AVvXsEgzt6R0OceB2UzDgSmBbsrmYFJ6KV86b_0rVc4pIxN2_x10jWwhHQkmF2oeO_qk5txOkJolALUKGRJEj6AQN2SzbDRLJeRpqlLvJxDrKZt9DKjwTCJdTDp_8z3DoQV7kw2oPx3CtWvfW4eeeeAhxW6K1bJdjdP0iDuIto6FFLq2pWjbV-OCAQNp-ek1cWY=s72-w320-h149-c" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-8766011798057583516.post-1373963838710472810</id><published>2023-11-01T10:35:00.002-07:00</published><updated>2023-11-01T10:38:55.098-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Asymmetric cryptography"/><category scheme="http://www.blogger.com/atom/ns#" term="Cryptography"/><category scheme="http://www.blogger.com/atom/ns#" term="public key"/><category scheme="http://www.blogger.com/atom/ns#" term="two key"/><title type='text'>Asymmetric Cryptography</title><content type='html'>&lt;h2 style=&quot;text-align: left;&quot;&gt;&lt;span style=&quot;font-family: inherit; font-size: large;&quot;&gt;Asymmetric key cryptography:- &lt;/span&gt;&lt;/h2&gt;&lt;p&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;&lt;span&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;In asymmetric cryptography,&amp;nbsp;&lt;/span&gt;there are two keys: a private key and a public key.&amp;nbsp;&lt;span&gt;The private key is kept by the receiver.&amp;nbsp;&lt;/span&gt;The public key is announced to the public.&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;&amp;nbsp;&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/AVvXsEjZuzlObLJJLazBjtKFJ17R4DDv_jYsGIryQ1ReA4S0wsbNrF8E6JA6hzQVJ3LnAJc-h7hu-nSABUKuYzapGTIbrVMOQO02_bwZQr0N8tzajWT4BmuwobCtDj9ITRa6PWhyVbAu3nRcugIYJuPwpOlueBiS_tb_O7Nc9zi2tFnxvewPC1w9fmRNMEiuuEY&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;520&quot; data-original-width=&quot;939&quot; height=&quot;221&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEjZuzlObLJJLazBjtKFJ17R4DDv_jYsGIryQ1ReA4S0wsbNrF8E6JA6hzQVJ3LnAJc-h7hu-nSABUKuYzapGTIbrVMOQO02_bwZQr0N8tzajWT4BmuwobCtDj9ITRa6PWhyVbAu3nRcugIYJuPwpOlueBiS_tb_O7Nc9zi2tFnxvewPC1w9fmRNMEiuuEY=w400-h221&quot; width=&quot;400&quot; /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;&lt;p&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: inherit;&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;a href=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEhfYAskjzyWFxoeH7VZI2wSCA63YVxdZpyQTLMso53YQ3xueL1Pj5tF-XVFrn_P6OLyn2nlnKr_8gm5X5n-r44LebCe8J6jl44K9jLGvnyGvuOafhsEn67QzvX8M1IzgkwmCbnZA7krmR3eOg8EJoohOY0QaEWH2tG4QD10bLUBi2kYYNH6mFfBAaPQcrY&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;479&quot; data-original-width=&quot;762&quot; height=&quot;251&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEhfYAskjzyWFxoeH7VZI2wSCA63YVxdZpyQTLMso53YQ3xueL1Pj5tF-XVFrn_P6OLyn2nlnKr_8gm5X5n-r44LebCe8J6jl44K9jLGvnyGvuOafhsEn67QzvX8M1IzgkwmCbnZA7krmR3eOg8EJoohOY0QaEWH2tG4QD10bLUBi2kYYNH6mFfBAaPQcrY=w400-h251&quot; width=&quot;400&quot; /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;&lt;h3 style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: inherit; font-size: large;&quot;&gt;public key:-&lt;/span&gt;&lt;/h3&gt;&lt;p&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; The development of public-key cryptography is the greatest and perhaps the only true revolution in the entire history of cryptography. It is asymmetric, involving the use of two separate keys, in contrast to&amp;nbsp;symmetric encryption, which uses only one key. Public key schemes are neither more nor less secure&amp;nbsp;than private key (security depends on the key size for both). Public-key cryptography complements&amp;nbsp;rather than replaces symmetric cryptography. Both also have issues with key distribution, requiring the&amp;nbsp;use of some suitable protocol.&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;The concept of public-key cryptography evolved from an attempt to attack two of the most difficult&amp;nbsp;problems associated with symmetric encryption:&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;&lt;b&gt;1.) key distribution &lt;/b&gt;– how to have secure communications in general without having to trust a KDC with 
your key&lt;/span&gt;&lt;/p&gt;&lt;p style=&quot;text-align: left;&quot;&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;&lt;b&gt;2.) Digital signatures&lt;/b&gt; – how to verify a message comes intact from the claimed sender&lt;/span&gt;&lt;/p&gt;&lt;p style=&quot;text-align: left;&quot;&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;Public-key/two-key/asymmetric cryptography involves the use of two keys:&amp;nbsp;&lt;/span&gt;&lt;/p&gt;&lt;p style=&quot;text-align: left;&quot;&gt;&lt;/p&gt;&lt;p&gt;&lt;/p&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;a public-key, which may be known by anybody, and can be used to encrypt messages, and verify 
signatures&amp;nbsp;&lt;/span&gt;&lt;/li&gt;&lt;/ul&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;a private-key, known only to the recipient, used to decrypt messages, and sign
(create) signatures.&amp;nbsp;&lt;/span&gt;&lt;/li&gt;&lt;/ul&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;is asymmetric because those who encrypt messages or verify signatures cannot decrypt messages or 
create signatures&lt;/span&gt;&lt;/li&gt;&lt;/ul&gt;&lt;div&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;Public-Key algorithms rely on one key for encryption and a different but related key for decryption. These algorithms have the following important characteristics:&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;It is computationally infeasible to find decryption key knowing only algorithm &amp;amp; encryption key&amp;nbsp;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;It is computationally easy to en/decrypt messages when the relevant (en/decrypt) key is known&amp;nbsp;&lt;/span&gt;&lt;/li&gt;&lt;/ul&gt;&lt;div&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;&lt;div&gt;The following figure illustrates public-key encryption process and shows that a public-key encryption scheme has six ingredients: plaintext, encryption algorithm, public &amp;amp; private keys, ciphertext&amp;amp; decryption algorithm.&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&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;https://blogger.googleusercontent.com/img/a/AVvXsEjZuzlObLJJLazBjtKFJ17R4DDv_jYsGIryQ1ReA4S0wsbNrF8E6JA6hzQVJ3LnAJc-h7hu-nSABUKuYzapGTIbrVMOQO02_bwZQr0N8tzajWT4BmuwobCtDj9ITRa6PWhyVbAu3nRcugIYJuPwpOlueBiS_tb_O7Nc9zi2tFnxvewPC1w9fmRNMEiuuEY&quot; style=&quot;margin-left: 1em; margin-right: 1em; text-align: center;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;520&quot; data-original-width=&quot;939&quot; height=&quot;221&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEjZuzlObLJJLazBjtKFJ17R4DDv_jYsGIryQ1ReA4S0wsbNrF8E6JA6hzQVJ3LnAJc-h7hu-nSABUKuYzapGTIbrVMOQO02_bwZQr0N8tzajWT4BmuwobCtDj9ITRa6PWhyVbAu3nRcugIYJuPwpOlueBiS_tb_O7Nc9zi2tFnxvewPC1w9fmRNMEiuuEY=w400-h221&quot; width=&quot;400&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;&lt;div&gt;The essential steps involved in a public-key encryption scheme are given below:&amp;nbsp;&lt;/div&gt;&lt;div&gt;1) Each user generates a pair of keys to be used for encryption and decryption.&lt;/div&gt;&lt;div&gt;2) Each user places one of the two keys in a public register and the other key is kept private.&lt;/div&gt;&lt;div&gt;3) If B wants to send a confidential message to A, B encrypts the message using A‟s public key.&lt;/div&gt;&lt;div&gt;4) When A receives the message, she decrypts it using her private key. Nobody else can decrypt the&amp;nbsp;&lt;/div&gt;&lt;div&gt;message because that can only be done using A‟s private key (Deducing a private key should be infeasible).&lt;/div&gt;&lt;div&gt;5) If a user wishes to change his keys –generate another pair of keys and publish the public one: no interaction with other users is needed.&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;The first attack on Public-key Cryptography is the attack on Authenticity. An attacker 
may impersonate user B: he sends a message and claims in the message to be B
–A has no guarantee this is so. To overcome this, B will encrypt the message using his 
private key. Receiver decrypts using B’s public key. This shows the 
authenticity of the sender because (supposedly) he is the only one who knows the private 
key. The entire encrypted message serves as a digital signature. This scheme is depicted 
in the following figure:&lt;/div&gt;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;p&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;span style=&quot;font-family: inherit;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&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/AVvXsEjvmKeofXFUViGVAZ4krlhhAcjqHAQRjuDIwb8_jm8PbEEYok3lX4-wVdnKvp8mXcXXGUhSfnn7qQWQX4jxvz-Q-gD7eKgMfvv-ODkeGCc_O5MI9aKCi5k8aBjbYuATYPevrGUMIoRtFXY6ae5KIE28ET9MZoXWhgCEXqzPJ4s166WOL_vrM6MVkd9VTUg&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;561&quot; data-original-width=&quot;914&quot; height=&quot;245&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEjvmKeofXFUViGVAZ4krlhhAcjqHAQRjuDIwb8_jm8PbEEYok3lX4-wVdnKvp8mXcXXGUhSfnn7qQWQX4jxvz-Q-gD7eKgMfvv-ODkeGCc_O5MI9aKCi5k8aBjbYuATYPevrGUMIoRtFXY6ae5KIE28ET9MZoXWhgCEXqzPJ4s166WOL_vrM6MVkd9VTUg=w400-h245&quot; width=&quot;400&quot; /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;span style=&quot;font-family: inherit;&quot;&gt;&lt;br /&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='https://salutionteach.blogspot.com/feeds/1373963838710472810/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='https://salutionteach.blogspot.com/2023/11/asymmetric-cryptography.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/1373963838710472810'/><link rel='self' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/1373963838710472810'/><link rel='alternate' type='text/html' href='https://salutionteach.blogspot.com/2023/11/asymmetric-cryptography.html' title='Asymmetric Cryptography'/><author><name>salutionteach</name><uri>http://www.blogger.com/profile/15753843071083819831</uri><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/AVvXsEjZuzlObLJJLazBjtKFJ17R4DDv_jYsGIryQ1ReA4S0wsbNrF8E6JA6hzQVJ3LnAJc-h7hu-nSABUKuYzapGTIbrVMOQO02_bwZQr0N8tzajWT4BmuwobCtDj9ITRa6PWhyVbAu3nRcugIYJuPwpOlueBiS_tb_O7Nc9zi2tFnxvewPC1w9fmRNMEiuuEY=s72-w400-h221-c" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-8766011798057583516.post-2670543376598934039</id><published>2023-10-28T10:12:00.003-07:00</published><updated>2023-10-28T10:13:02.287-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Private key"/><category scheme="http://www.blogger.com/atom/ns#" term="Secret key encryption"/><category scheme="http://www.blogger.com/atom/ns#" term="Symmetric cryptography"/><title type='text'>Symmetric cryptography</title><content type='html'>&lt;h2 style=&quot;text-align: left;&quot;&gt;Cryptography:-&amp;nbsp;&lt;/h2&gt;&lt;p&gt;We can divided all the cryptography algorithms(ciphers) into three groups:&lt;/p&gt;&lt;p&gt;&lt;/p&gt;&lt;ol style=&quot;text-align: left;&quot;&gt;&lt;li&gt;Symmetric cryptography&lt;/li&gt;&lt;li&gt;Asymmetric cryptography&lt;/li&gt;&lt;li&gt;Hash Function&lt;/li&gt;&lt;/ol&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/AVvXsEjt-qDfsDm-351N6Sgf6hDlBx0Byr5UeYuLMY4pX3exFmMyC63l1HEJ_hqDvtKFeHn1gcjJncj3HkOFFrbW6LszK0DemK9MS3R8zQkdz7ipyocqnwZe90QXQePJCEksn23p5lbGwcOv_kYvl20GsPI1JGmcSOH8ktOyNfa3t7DzKS0havRt6f3Ew5mCBvs/s735/Types-of-Cryptography-Various-Cryptographic-Algorithms-a-Data-Encryption-Standard.ppm&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;444&quot; data-original-width=&quot;735&quot; height=&quot;241&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjt-qDfsDm-351N6Sgf6hDlBx0Byr5UeYuLMY4pX3exFmMyC63l1HEJ_hqDvtKFeHn1gcjJncj3HkOFFrbW6LszK0DemK9MS3R8zQkdz7ipyocqnwZe90QXQePJCEksn23p5lbGwcOv_kYvl20GsPI1JGmcSOH8ktOyNfa3t7DzKS0havRt6f3Ew5mCBvs/w400-h241/Types-of-Cryptography-Various-Cryptographic-Algorithms-a-Data-Encryption-Standard.ppm&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;h3 style=&quot;clear: both; text-align: left;&quot;&gt;Symmetric cryptography:-&lt;/h3&gt;&lt;div&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;In symmetric-key cryptography, the same key is used by both parties. The sender uses this 
key and an encryption algorithm to encrypt data; the receiver uses the same key and the 
corresponding decryption algorithm to decrypt the data.&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&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/b/R29vZ2xl/AVvXsEj0UdD5tf3EGIZ929KVLM6ja1sMraCst9LFl6E65gp7-9170zko-rnbpRF9bBKHNiIse4AGIm9eFODhyavQlHtbFKtnrZq_0mHBiLwsEVBAKvDA4RlWj4BP0B0Pai5u6xqfkxH-Q3UWQqLlfra_FmVCbzOsvYTLLT0p2PcTr1h0fgGUn24nVSko-nPMhL8/s591/Picture1.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;226&quot; data-original-width=&quot;591&quot; height=&quot;153&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj0UdD5tf3EGIZ929KVLM6ja1sMraCst9LFl6E65gp7-9170zko-rnbpRF9bBKHNiIse4AGIm9eFODhyavQlHtbFKtnrZq_0mHBiLwsEVBAKvDA4RlWj4BP0B0Pai5u6xqfkxH-Q3UWQqLlfra_FmVCbzOsvYTLLT0p2PcTr1h0fgGUn24nVSko-nPMhL8/w400-h153/Picture1.png&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 class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhEar6_T2GP_gaguCSMYrTQoTKBXwOV-inF99JNrw8CxuDBdhwvJNqOboCH9W1IpZ_rL-pU6uLMiWWYCmuks4p8cePH5CmwneWKptZ8IW5N-taKLDpvD65HvvYq8YQmZCO1CBPl2wPPSihF-aZYUNXL3HTMywGSwfo_w6nnJba1cmmyzHzqJ9CRuIsxa0s/s461/Symmetric%20key%20crtptography.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;333&quot; data-original-width=&quot;461&quot; height=&quot;256&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhEar6_T2GP_gaguCSMYrTQoTKBXwOV-inF99JNrw8CxuDBdhwvJNqOboCH9W1IpZ_rL-pU6uLMiWWYCmuks4p8cePH5CmwneWKptZ8IW5N-taKLDpvD65HvvYq8YQmZCO1CBPl2wPPSihF-aZYUNXL3HTMywGSwfo_w6nnJba1cmmyzHzqJ9CRuIsxa0s/w468-h256/Symmetric%20key%20crtptography.jpg&quot; width=&quot;468&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: left;&quot;&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&amp;nbsp;A symmetric encryption scheme has five ingredients:&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;• &lt;b&gt;Plaintext:&amp;nbsp; &lt;/b&gt;This is the original intelligible message or data that is fed into the algorithm as input.&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;• &lt;b&gt;Encryption algorithm: &lt;/b&gt;The encryption algorithm performs various substitutions and transformations on the plaintext.&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;• &lt;b&gt;Secret key: &lt;/b&gt;The secret key is also input to the encryption algorithm. The key is a value independent of the plaintext and of the algorithm.&amp;nbsp;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;• &lt;b&gt;Ciphertext: &lt;/b&gt;This is the scrambled message produced as output. It depends on the plaintext and the secret key. For a given message, two different keys will produce two different ciphertexts. The ciphertext is an apparently random stream of data and, as it stands, is unintelligible.&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;• &lt;b&gt;Decryption algorithm: &lt;/b&gt;This is essentially the encryption algorithm run in reverse. It takes the ciphertext and the secret key and produces the original plaintext.&lt;/div&gt;&lt;h4 style=&quot;clear: both; text-align: left;&quot;&gt;Private key Cryptography:-&amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;/h4&gt;&lt;/div&gt;&lt;p style=&quot;text-align: left;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; Symmetric encryption also called private-key encryption or secret-key encryption involves 
using the same key for encryption and decryption.&amp;nbsp;&lt;/p&gt;&lt;/div&gt;&lt;div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;br /&gt;&lt;/div&gt;&lt;br /&gt;</content><link rel='replies' type='application/atom+xml' href='https://salutionteach.blogspot.com/feeds/2670543376598934039/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='https://salutionteach.blogspot.com/2023/10/symmetric-cryptography.html#comment-form' title='1 Comments'/><link rel='edit' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/2670543376598934039'/><link rel='self' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/2670543376598934039'/><link rel='alternate' type='text/html' href='https://salutionteach.blogspot.com/2023/10/symmetric-cryptography.html' title='Symmetric cryptography'/><author><name>salutionteach</name><uri>http://www.blogger.com/profile/15753843071083819831</uri><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/AVvXsEjt-qDfsDm-351N6Sgf6hDlBx0Byr5UeYuLMY4pX3exFmMyC63l1HEJ_hqDvtKFeHn1gcjJncj3HkOFFrbW6LszK0DemK9MS3R8zQkdz7ipyocqnwZe90QXQePJCEksn23p5lbGwcOv_kYvl20GsPI1JGmcSOH8ktOyNfa3t7DzKS0havRt6f3Ew5mCBvs/s72-w400-h241-c/Types-of-Cryptography-Various-Cryptographic-Algorithms-a-Data-Encryption-Standard.ppm" height="72" width="72"/><thr:total>1</thr:total></entry><entry><id>tag:blogger.com,1999:blog-8766011798057583516.post-8035493901986058344</id><published>2023-10-28T07:02:00.005-07:00</published><updated>2023-10-28T07:02:52.753-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="network model"/><category scheme="http://www.blogger.com/atom/ns#" term="Network security model"/><category scheme="http://www.blogger.com/atom/ns#" term="security model"/><title type='text'>Model for Network Security</title><content type='html'>&lt;h2 style=&quot;text-align: left;&quot;&gt;Network Security Model:-&amp;nbsp;&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/AVvXsEiB1b5FDfqOTeV4P0Pr9DKSLyOZ82h3pz_ZGxl3UoWGvipVDDMl8a-oIYYE2wgRT1DcGXoIifBKox4wnhheow_aL_IW78p6lfWUpwXkDWJ6o028GMyhYPluko2wtf01Vq8TnVyR16F6c8B_S2PQ3ehiyAga0aMgc9-Jpp0L2D0bViGPM7l-1g5Lc0SwMyo&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;/a&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/AVvXsEiB1b5FDfqOTeV4P0Pr9DKSLyOZ82h3pz_ZGxl3UoWGvipVDDMl8a-oIYYE2wgRT1DcGXoIifBKox4wnhheow_aL_IW78p6lfWUpwXkDWJ6o028GMyhYPluko2wtf01Vq8TnVyR16F6c8B_S2PQ3ehiyAga0aMgc9-Jpp0L2D0bViGPM7l-1g5Lc0SwMyo&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;/a&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEh13YSeUxBkjJGIJajygtXBmWTcfXz2-sRU55vATywQXJ92JbXQ5xxWw77ZyHW_fDGTwxduuGZ0uNLiLga6ZM74e4dX-aBlTQ2iACxFuIaji9HvL3m4EMmW-Mz1NBgIzEKfM69A86dJnk4KRXd684032QkZ8EPLb5NP2VpEG_9dEcvEuq7_HEUitEpWBWo&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;1500&quot; height=&quot;171&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEh13YSeUxBkjJGIJajygtXBmWTcfXz2-sRU55vATywQXJ92JbXQ5xxWw77ZyHW_fDGTwxduuGZ0uNLiLga6ZM74e4dX-aBlTQ2iACxFuIaji9HvL3m4EMmW-Mz1NBgIzEKfM69A86dJnk4KRXd684032QkZ8EPLb5NP2VpEG_9dEcvEuq7_HEUitEpWBWo&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;/div&gt;&lt;p&gt;&lt;/p&gt;&lt;p&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;A message is to be transferred from one party to another across some sort of Internet service. The two parties, who are the principals in this transaction, must cooperate for the exchange to take place. A logical information channel is established by defining a route through the Internet from source to destination and by the cooperative use of communication protocols (e.g., TCP/IP) by the two principals.&lt;/p&gt;&lt;p&gt;Security aspects come into play when it is necessary or desirable to protect the information transmission from an opponent who may present a threat to confidentiality, authenticity, and so on. All the techniques for providing security have two components:&lt;/p&gt;&lt;p&gt;•&amp;nbsp; A security-related transformation on the information to be sent. Examples include the encryption of the message, which scrambles the message so that it is unreadable by the opponent, and the addition of a code based on the contents of the message, which can be used to verify the identity of the sender.&lt;/p&gt;&lt;p&gt;•&amp;nbsp; Some secret information shared by the two principals and, it is hoped, unknown to the opponent. An example is an encryption key used in conjunction with the transformation to scramble the message before transmission and unscramble it on reception.&lt;/p&gt;&lt;p&gt;&amp;nbsp;A trusted third party may be needed to achieve secure transmission. For example, a third party may be responsible for distributing the secret information to the two principals while keeping it from any opponent. Or a third party may be needed to arbitrate disputes between the two principals concerning the authenticity of a message transmission.&lt;/p&gt;&lt;p&gt;This general model shows that there are four basic tasks in designing a particular security service:&lt;/p&gt;&lt;p&gt;1.&amp;nbsp; Design an &lt;b&gt;algorithm &lt;/b&gt;for performing the security-related transformation. The algorithm should be such that an opponent cannot defeat its purpose.&lt;/p&gt;&lt;p&gt;2.&amp;nbsp; Generate the &lt;b&gt;secret information&lt;/b&gt;(&lt;b&gt;keys&lt;/b&gt;) to be used with the algorithm.&lt;/p&gt;&lt;p&gt;3.&amp;nbsp; Develop &lt;b&gt;methods &lt;/b&gt;for the distribution and sharing of the secret information.&lt;/p&gt;&lt;p&gt;4.&amp;nbsp; Specify a &lt;b&gt;protocol &lt;/b&gt;to be used by the two principals that makes use of the security algorithm and the secret information to achieve a particular security service.&lt;/p&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/AVvXsEhbDc0pwjNJJCXfQ6qIvQnLlTxa6Mcv0SekS2y3HMG_t7AsHFwiizPwjPu_XAUfrS55XIWAtLZH__-xF0wOKqah0CeqIfgqxgJbkfDfYYFwgvjhz_1_kGQmF_VXteHgINreZevKDlXP5hVMnAaJfw5kN0zvcmXH_OGU4W_FjIJ2p4aGHnbJH5xbhwqSaYI&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;490&quot; data-original-width=&quot;1438&quot; height=&quot;109&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEhbDc0pwjNJJCXfQ6qIvQnLlTxa6Mcv0SekS2y3HMG_t7AsHFwiizPwjPu_XAUfrS55XIWAtLZH__-xF0wOKqah0CeqIfgqxgJbkfDfYYFwgvjhz_1_kGQmF_VXteHgINreZevKDlXP5hVMnAaJfw5kN0zvcmXH_OGU4W_FjIJ2p4aGHnbJH5xbhwqSaYI&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;div&gt;using this model requires us to:&amp;nbsp;&lt;/div&gt;&lt;div&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li&gt;select appropriate &lt;b&gt;gatekeeper functions &lt;/b&gt;to identify users&amp;nbsp;&lt;/li&gt;&lt;li&gt;implement &lt;b&gt;security controls &lt;/b&gt;to ensure only authorized users access designated information or resources&amp;nbsp;&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='https://salutionteach.blogspot.com/feeds/8035493901986058344/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='https://salutionteach.blogspot.com/2023/10/model-for-network-security.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/8035493901986058344'/><link rel='self' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/8035493901986058344'/><link rel='alternate' type='text/html' href='https://salutionteach.blogspot.com/2023/10/model-for-network-security.html' title='Model for Network Security'/><author><name>salutionteach</name><uri>http://www.blogger.com/profile/15753843071083819831</uri><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/AVvXsEh13YSeUxBkjJGIJajygtXBmWTcfXz2-sRU55vATywQXJ92JbXQ5xxWw77ZyHW_fDGTwxduuGZ0uNLiLga6ZM74e4dX-aBlTQ2iACxFuIaji9HvL3m4EMmW-Mz1NBgIzEKfM69A86dJnk4KRXd684032QkZ8EPLb5NP2VpEG_9dEcvEuq7_HEUitEpWBWo=s72-c" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-8766011798057583516.post-8546658463345804318</id><published>2023-10-28T01:56:00.002-07:00</published><updated>2023-10-28T07:05:32.638-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="active attacks"/><category scheme="http://www.blogger.com/atom/ns#" term="attacks"/><category scheme="http://www.blogger.com/atom/ns#" term="passive attacks"/><category scheme="http://www.blogger.com/atom/ns#" term="Security attacks"/><title type='text'>Security Attacks</title><content type='html'>&lt;h2 style=&quot;text-align: left;&quot;&gt;X.800 Security Attacks:-&lt;/h2&gt;&lt;p class=&quot;MsoNormal&quot;&gt;There are two types of Software attacks:&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;/p&gt;&lt;ol style=&quot;text-align: left;&quot;&gt;&lt;li&gt;Active Attacks&lt;/li&gt;&lt;li&gt;Passive Attacks&lt;/li&gt;&lt;/ol&gt;&lt;h3 style=&quot;text-align: left;&quot;&gt;Active Attacks:-&lt;/h3&gt;&lt;p&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;An &lt;i&gt;active attack &lt;/i&gt;attempts to alter system resources
or affect their operation. Active attacks Involve some modification of the data stream
or the creation of a false stream.&lt;/p&gt;&lt;div&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;Active attacks are difficult to prevent because of the wide
variety of potential physical, software, and network vulnerabilities.&amp;nbsp;&lt;span style=&quot;text-indent: -0.25in;&quot;&gt;Goal is to detect attacks and to recover from
any disruption or delays caused by them&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in; mso-list: l0 level1 lfo1; tab-stops: list .5in; text-indent: -.25in;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: 0.5in; text-align: left; text-indent: -0.25in;&quot;&gt;&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;,serif; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;&quot;&gt;•&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;Active attacks can be subdivided into four
categories:&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: 0.5in; text-align: left; text-indent: -0.25in;&quot;&gt;a) Masquerade.&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: 0.5in; text-align: left; text-indent: -0.25in;&quot;&gt;b) Replay.&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: 0.5in; text-align: left; text-indent: -0.25in;&quot;&gt;c) Modification of messages.&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: 0.5in; text-align: left; text-indent: -0.25in;&quot;&gt;d) Denial of service.&lt;/p&gt;&lt;/div&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;Masquerade:-&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;/h4&gt;&lt;p style=&quot;text-align: left;&quot;&gt;&amp;nbsp; &amp;nbsp;&amp;nbsp;&lt;span style=&quot;font-weight: normal;&quot;&gt;A masquerade takes place when one entity pretends to be a
different entity. A masquerade attack usually includes one of the other forms
of active attack. For example, authentication sequences can be captured and
replayed after a valid authentication sequence has taken place, thus enabling
an authorized entity with few privileges to obtain extra privileges by
impersonating an entity that has those privileges.&lt;/span&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/AVvXsEidWboeXpFR_0Cb78NXNp5w_vuPMXYqzh2rem5MRDKeHFu4OKl_YhcKUPML-w6mpRfbsaxeQLQn2x0JhETMMW0IzqJN3LFoOu6h7ipcKrYa_VyAX4DgdYHkaH-dtfMiKPASgAxSpsL0hFG1zR2-YdPRR0P6uioMrdEUrszLUH2c8DwhzcUk6tDD-tMwBkI&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;354&quot; data-original-width=&quot;676&quot; height=&quot;168&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEidWboeXpFR_0Cb78NXNp5w_vuPMXYqzh2rem5MRDKeHFu4OKl_YhcKUPML-w6mpRfbsaxeQLQn2x0JhETMMW0IzqJN3LFoOu6h7ipcKrYa_VyAX4DgdYHkaH-dtfMiKPASgAxSpsL0hFG1zR2-YdPRR0P6uioMrdEUrszLUH2c8DwhzcUk6tDD-tMwBkI&quot; width=&quot;320&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;p&gt;&lt;/p&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;&amp;nbsp;Replay:-&amp;nbsp;&lt;/h4&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&amp;nbsp; Replay involves the
passive capture of a data unit and its subsequent retransmission to produce an
unauthorized effect.&amp;nbsp;&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&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;a href=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEhvUM8S11dS38biWZxdJh1UnO6OlFysMlmfOGsXwXK5b7uPtP4Fnu9fs7Es_sUORGEf91SEBSIddsvjBNJ7n_XFuoZdZCzOmw9qiXHcIVTYFM1E6fJrytq4cSHZ0deQQYE_t20bRCFXODWGkoj69h5BMog_sdh5XtJ_XDfG7l26_T-hmFnQOYu5OdAOwJQ&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;417&quot; data-original-width=&quot;810&quot; height=&quot;165&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEhvUM8S11dS38biWZxdJh1UnO6OlFysMlmfOGsXwXK5b7uPtP4Fnu9fs7Es_sUORGEf91SEBSIddsvjBNJ7n_XFuoZdZCzOmw9qiXHcIVTYFM1E6fJrytq4cSHZ0deQQYE_t20bRCFXODWGkoj69h5BMog_sdh5XtJ_XDfG7l26_T-hmFnQOYu5OdAOwJQ&quot; width=&quot;320&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;p&gt;&lt;/p&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;Modification of messages:-&lt;/h4&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;Modification of messages simply means that some portion of a
legitimate message is altered, or that messages are delayed or reordered, to
produce an unauthorized effect. For example, a message meaning “Allow John
Smith to read confidential file accounts” is modified to mean “Allow Fred Brown
to read confidential file accounts.”&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&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/AVvXsEiRvyLCbwazMtPwcAa6ZgsefouhdvV9zwrGJOacDtzzwTYCjF8-Ahkqvr3ewp4R01-OxLMP8WN9xFMlQ90D4oKrKHwxzfHEPfnCG4rZ6QgwmThnQeX0d_PF1Ed2tSNv463ZR8LINmddw7BaIyDbKEnOy0unoOMkc4K4sb7M9WIQLhmgUJo5VgwN8A562l4&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;410&quot; data-original-width=&quot;800&quot; height=&quot;164&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEiRvyLCbwazMtPwcAa6ZgsefouhdvV9zwrGJOacDtzzwTYCjF8-Ahkqvr3ewp4R01-OxLMP8WN9xFMlQ90D4oKrKHwxzfHEPfnCG4rZ6QgwmThnQeX0d_PF1Ed2tSNv463ZR8LINmddw7BaIyDbKEnOy0unoOMkc4K4sb7M9WIQLhmgUJo5VgwN8A562l4&quot; width=&quot;320&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;p&gt;&lt;/p&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;Denial of service:-&amp;nbsp;&lt;/h4&gt;&lt;p style=&quot;text-align: left;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &lt;span style=&quot;font-weight: normal;&quot;&gt;&amp;nbsp;The denial of service prevents or inhibits the normal use or
management of communications facilities. This attack may have a specific
target; for example, an entity may suppress all messages directed to a
particular destination (e.g., the security audit service).Another form of
service denial is the disruption of an entire network, either by disabling the
network or by overloading it with messages so as to degrade performance.&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&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/AVvXsEhSkZgLD8t0fI6ZqWBYduDDmr4nS2EJ4VuLMopsul5bE1wWWYrBDz_UQeANZqtuDwh7yY4A_M0SBTDwXz7rrfbrQK-NNlIq_R8fNL5PD2wmDtqoy65wED9FdpNUEc3Saglx3i_m9YdoSJIBb9KjBh94YNKVnNKxLPIepQFvQRpjNtpJQv97GwigpLv8OY4&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;331&quot; data-original-width=&quot;560&quot; height=&quot;189&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEhSkZgLD8t0fI6ZqWBYduDDmr4nS2EJ4VuLMopsul5bE1wWWYrBDz_UQeANZqtuDwh7yY4A_M0SBTDwXz7rrfbrQK-NNlIq_R8fNL5PD2wmDtqoy65wED9FdpNUEc3Saglx3i_m9YdoSJIBb9KjBh94YNKVnNKxLPIepQFvQRpjNtpJQv97GwigpLv8OY4&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;h3 style=&quot;clear: both; text-align: left;&quot;&gt;Passive Attacks:-&lt;/h3&gt;&lt;p&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;A passive attack attempts to learn or make use of
information from the system but does not affect system resources.&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both;&quot;&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;Passive attacks are in the nature of eavesdropping on, or
monitoring of, transmissions. The goal of the opponent is to obtain information that is
being transmitted.&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;Two types of passive attacks are: &lt;b&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in; mso-list: l0 level1 lfo1; tab-stops: list .5in; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: &amp;quot;Arial&amp;quot;,sans-serif; mso-fareast-font-family: Arial;&quot;&gt;•&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;a) Release of message contents. &lt;b&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/b&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in; mso-list: l0 level1 lfo1; tab-stops: list .5in; text-indent: -.25in;&quot;&gt;&lt;!--[if !supportLists]--&gt;&lt;span style=&quot;font-family: &amp;quot;Arial&amp;quot;,sans-serif; mso-fareast-font-family: Arial;&quot;&gt;•&lt;span style=&quot;font-family: &amp;quot;Times New Roman&amp;quot;; font-feature-settings: normal; font-kerning: auto; font-optical-sizing: auto; font-size: 7pt; font-stretch: normal; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-variant-position: normal; font-variation-settings: normal; line-height: normal;&quot;&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;
&lt;/span&gt;&lt;/span&gt;&lt;!--[endif]--&gt;b) Traffic analysis.&lt;b&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/b&gt;&lt;/p&gt;

&lt;h4 style=&quot;text-align: left;&quot;&gt;&lt;b&gt;&amp;nbsp;&lt;/b&gt;Release of message contents:-&amp;nbsp;&lt;/h4&gt;&lt;p style=&quot;text-align: left;&quot;&gt;&lt;span style=&quot;font-weight: normal;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;The release of message contents is easily understood. A
telephone conversation, an electronic mail message, and a transferred file may
contain sensitive or confidential information. We would like to prevent an
opponent from learning the contents of these transmissions.&amp;nbsp;&lt;/span&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&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/AVvXsEj476Wyh3_k9jfZTpR0OlKQiCCjUtbRnW5nF7LhOuuLH47HuoItgqjOUqETwnOYfwOoXQPUyl5vShD3CUGXgRUrEthKTYu6NzEVRqzXsHJl_hyhnbfhXorq_EaeCx4ecgsLTyZB8Hf3Ff2iibTCXtklfRCR8kzWR3D9q-bIfYNw-qDNbDT46fz3dShWWng&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;428&quot; data-original-width=&quot;811&quot; height=&quot;169&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEj476Wyh3_k9jfZTpR0OlKQiCCjUtbRnW5nF7LhOuuLH47HuoItgqjOUqETwnOYfwOoXQPUyl5vShD3CUGXgRUrEthKTYu6NzEVRqzXsHJl_hyhnbfhXorq_EaeCx4ecgsLTyZB8Hf3Ff2iibTCXtklfRCR8kzWR3D9q-bIfYNw-qDNbDT46fz3dShWWng&quot; width=&quot;320&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;p&gt;&lt;/p&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;Traffic analysis:-&lt;/h4&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;A second type of passive attack, traffic analysis, is
subtler. Suppose that we had a way of masking the contents of messages or other
information traffic so that opponents, even if they captured the message, could
not extract the information from the message. The common technique for masking
contents is encryption. If we had encryption protection in place, an opponent
might still be able to observe the pattern of these messages. The opponent
could determine the location and identity of communicating hosts and could
observe the frequency and length of messages being exchanged. This information
might be useful in guessing the nature of the communication that was taking
place.&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&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/AVvXsEiq_KGEGUS-GmvGg3GhzAZpblHAJgA-4hm-lwOyBmnhqZ_QrtXN8rBGaH7g-gXc063s6jQ77IPC3Ha5_Y33BcBsoJ1HCc4VSHhKKqyfqmU_hBJpAESy4-zrZB7HbUxo4VlafDvzIpFQwv3_apGlMMELesim7JNXuoUk7uVKi_5xJ1H2j9BgkVJ6p3RLq74&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;368&quot; data-original-width=&quot;704&quot; height=&quot;167&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEiq_KGEGUS-GmvGg3GhzAZpblHAJgA-4hm-lwOyBmnhqZ_QrtXN8rBGaH7g-gXc063s6jQ77IPC3Ha5_Y33BcBsoJ1HCc4VSHhKKqyfqmU_hBJpAESy4-zrZB7HbUxo4VlafDvzIpFQwv3_apGlMMELesim7JNXuoUk7uVKi_5xJ1H2j9BgkVJ6p3RLq74&quot; width=&quot;320&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;p&gt;&lt;/p&gt;&lt;table border=&quot;1&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;MsoTableGrid&quot; style=&quot;border-collapse: collapse; border: none; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0in 5.4pt 0in 5.4pt; mso-yfti-tbllook: 1184;&quot;&gt;
 &lt;tbody&gt;&lt;tr&gt;
  &lt;td style=&quot;border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 233.75pt;&quot; valign=&quot;top&quot; width=&quot;149&quot;&gt;
  &lt;h3 style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;&quot;&gt;&lt;b&gt;Active
  Attacks&lt;/b&gt;&lt;/h3&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 233.75pt;&quot; valign=&quot;top&quot; width=&quot;134&quot;&gt;
  &lt;h3 style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; text-align: center;&quot;&gt;&lt;b&gt;Passive
  Attacks&lt;/b&gt;&lt;/h3&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr&gt;
  &lt;td style=&quot;border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 233.75pt;&quot; valign=&quot;top&quot; width=&quot;149&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;&quot;&gt;Data modification&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 233.75pt;&quot; valign=&quot;top&quot; width=&quot;134&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;&quot;&gt;Data monitoring&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr&gt;
  &lt;td style=&quot;border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 233.75pt;&quot; valign=&quot;top&quot; width=&quot;149&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;&quot;&gt;Affect&lt;b&gt; &lt;/b&gt;the&lt;b&gt; &lt;/b&gt;System&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 233.75pt;&quot; valign=&quot;top&quot; width=&quot;134&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;&quot;&gt;Does not affect the system&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr&gt;
  &lt;td style=&quot;border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 233.75pt;&quot; valign=&quot;top&quot; width=&quot;149&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;&quot;&gt;Easy to detect&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 233.75pt;&quot; valign=&quot;top&quot; width=&quot;134&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;&quot;&gt;Difficult to detect &lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr&gt;
  &lt;td style=&quot;border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 233.75pt;&quot; valign=&quot;top&quot; width=&quot;149&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;&quot;&gt;Attacks on availability and integrity&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 233.75pt;&quot; valign=&quot;top&quot; width=&quot;134&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;&quot;&gt;Attacks on confidentiality &lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr&gt;
  &lt;td style=&quot;border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 233.75pt;&quot; valign=&quot;top&quot; width=&quot;149&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;&quot;&gt;Examples:&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;&quot;&gt;&lt;/p&gt;&lt;ol&gt;&lt;li&gt;Masquerade&lt;/li&gt;&lt;li&gt;Replay&lt;/li&gt;&lt;li&gt;Denial of services&lt;/li&gt;&lt;li&gt;Modification of messages&lt;/li&gt;&lt;/ol&gt;&lt;p&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 233.75pt;&quot; valign=&quot;top&quot; width=&quot;134&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;&quot;&gt;Examples:&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;&quot;&gt;&lt;/p&gt;&lt;ol&gt;&lt;li&gt;Release of message content&lt;/li&gt;&lt;li&gt;Traffic Analysis&lt;/li&gt;&lt;/ol&gt;&lt;p&gt;&lt;/p&gt;
  
  &lt;/td&gt;
 &lt;/tr&gt;
 &lt;tr&gt;
  &lt;td style=&quot;border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 233.75pt;&quot; valign=&quot;top&quot; width=&quot;149&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;&quot;&gt;Techniques to avoid:&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;&quot;&gt;&lt;/p&gt;&lt;ul&gt;&lt;li&gt;&lt;span style=&quot;text-indent: -0.25in;&quot;&gt;Firewalls&amp;nbsp;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style=&quot;text-indent: -0.25in;&quot;&gt;IPS(Intrusion Prevention System)&lt;/span&gt;&lt;/li&gt;&lt;/ul&gt;&lt;p&gt;&lt;/p&gt;&lt;p class=&quot;MsoListParagraphCxSpLast&quot; style=&quot;mso-list: l3 level1 lfo3; text-indent: -.25in;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;
  &lt;/td&gt;
  &lt;td style=&quot;border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 233.75pt;&quot; valign=&quot;top&quot; width=&quot;134&quot;&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;&quot;&gt;Techniques to avoid:&lt;/p&gt;
  &lt;ul&gt;&lt;li&gt;Encryption&lt;/li&gt;&lt;/ul&gt;
  &lt;p class=&quot;MsoNormal&quot; style=&quot;line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in;&quot;&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/p&gt;
  &lt;/td&gt;
 &lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: left;&quot;&gt;&lt;/div&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;br /&gt;&lt;/p&gt;&lt;/div&gt;&lt;p&gt;&lt;br /&gt;&amp;nbsp;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='https://salutionteach.blogspot.com/feeds/8546658463345804318/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='https://salutionteach.blogspot.com/2023/10/security-attacks.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/8546658463345804318'/><link rel='self' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/8546658463345804318'/><link rel='alternate' type='text/html' href='https://salutionteach.blogspot.com/2023/10/security-attacks.html' title='Security Attacks'/><author><name>salutionteach</name><uri>http://www.blogger.com/profile/15753843071083819831</uri><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/AVvXsEidWboeXpFR_0Cb78NXNp5w_vuPMXYqzh2rem5MRDKeHFu4OKl_YhcKUPML-w6mpRfbsaxeQLQn2x0JhETMMW0IzqJN3LFoOu6h7ipcKrYa_VyAX4DgdYHkaH-dtfMiKPASgAxSpsL0hFG1zR2-YdPRR0P6uioMrdEUrszLUH2c8DwhzcUk6tDD-tMwBkI=s72-c" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-8766011798057583516.post-1654468583602436831</id><published>2023-10-22T07:25:00.001-07:00</published><updated>2023-10-22T07:37:35.091-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="pervasive security mechanisms"/><category scheme="http://www.blogger.com/atom/ns#" term="security mechanisms"/><category scheme="http://www.blogger.com/atom/ns#" term="Specific security mechanisms"/><category scheme="http://www.blogger.com/atom/ns#" term="X.800 security mechanisms"/><title type='text'>Security Mechanisms:-</title><content type='html'>&lt;h2 style=&quot;text-align: left;&quot;&gt;&amp;nbsp;Security Mechanisms (X.800):-&lt;/h2&gt;&lt;div&gt;&lt;p class=&quot;MsoNormal&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; Security mechanisms are used to implement security
services. Lists of security mechanisms defined in X.800. The mechanisms are divided into those that are implemented in a specific protocol layer, such as TCP or an application-layer protocol, and those that are not specific to any particular protocol layer or security service.&amp;nbsp;&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;/p&gt;&lt;ol style=&quot;text-align: left;&quot;&gt;&lt;li&gt;Specific security mechanisms&lt;/li&gt;&lt;ol&gt;&lt;li&gt;Encipherment&lt;/li&gt;&lt;li&gt;Digital signatures&lt;/li&gt;&lt;li&gt;Access controls&lt;/li&gt;&lt;li&gt;Data integrity&lt;/li&gt;&lt;li&gt;Authentication exchange&lt;/li&gt;&lt;li&gt;traffic padding&lt;/li&gt;&lt;li&gt;routing control&lt;/li&gt;&lt;li&gt;notarization&amp;nbsp;&amp;nbsp;&lt;/li&gt;&lt;/ol&gt;&lt;li&gt;Pervasive security mechanisms&lt;/li&gt;&lt;ol&gt;&lt;li&gt;Trusted functionality&lt;/li&gt;&lt;li&gt;Security labels&lt;/li&gt;&lt;li&gt;Event detection&lt;/li&gt;&lt;li&gt;Security audit trails&lt;/li&gt;&lt;li&gt;Security recovery&amp;nbsp;&lt;/li&gt;&lt;/ol&gt;&lt;/ol&gt;&lt;br /&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/b/R29vZ2xl/AVvXsEj6pJwPC9Dq1YMOZiuwlCE1aCoq0IujmG9pq1j_f8OQ3ycobpRNhLj2IlG-lQYHT5J6aUKFMJYIkCrVSaNzXphHOIXzloJulph7n4WXWKWDmSz0bL-vPuA46ipgRR1Yk0USEFFp89gPNfkKF02lTevMe6Nu4JkdP8w65wa8mnKZCDPID5acurc6O83Lv4g/s1459/security%20mechanisms.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;871&quot; data-original-width=&quot;1459&quot; height=&quot;212&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj6pJwPC9Dq1YMOZiuwlCE1aCoq0IujmG9pq1j_f8OQ3ycobpRNhLj2IlG-lQYHT5J6aUKFMJYIkCrVSaNzXphHOIXzloJulph7n4WXWKWDmSz0bL-vPuA46ipgRR1Yk0USEFFp89gPNfkKF02lTevMe6Nu4JkdP8w65wa8mnKZCDPID5acurc6O83Lv4g/w355-h212/security%20mechanisms.png&quot; width=&quot;355&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;• Encipherment:-&lt;/h4&gt;&lt;div&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;The use of mathematical algorithms to transform data into a form that is not readily intelligible. The transformation and subsequent recovery of the data depend on an algorithm and zero or more encryption keys.&lt;/div&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;• Digital signature:-&lt;/h4&gt;&lt;div&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; Data appended to, or a cryptographic transformation of, a data unit that allows a recipient of the data unit to prove the source and integrity of the data unit and protect against forgery (e.g., by the recipient).&lt;/div&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;• Access Control:-&lt;/h4&gt;&lt;div&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; A variety of mechanisms that enforce access rights to Resources.&lt;/div&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;• Data Integrity:-&lt;/h4&gt;&lt;div&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;A variety of mechanisms used to assure the integrity of a data unit or stream of data units.&lt;/div&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;• Authentication Exchange:-&lt;/h4&gt;&lt;div&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;A mechanism intended to ensure the identity of an entity by means of information exchange.&lt;/div&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;• Traffic Padding:-&lt;/h4&gt;&lt;div&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;The insertion of bits into gaps in a data stream to frustrate eavesdropper’s traffic analysis attempts.&lt;/div&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;• Routing Control:-&lt;/h4&gt;&lt;div&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;Enables selection of particular physically secure Routes for certain data and allows routing changes, especially when a breach of security is suspected.&lt;/div&gt;&lt;h4 style=&quot;text-align: left;&quot;&gt;• Notarization:-&lt;/h4&gt;&lt;div&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; The use of a trusted third party to assure certain properties of a data exchange.&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;h4&gt;• Trusted Functionality:-&lt;/h4&gt;&lt;/div&gt;&lt;div&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;That which is perceived to be correct with respect to some criteria(e.g., as establish by a security policy).&lt;/div&gt;&lt;div&gt;&lt;h4&gt;• Security labels:-&lt;/h4&gt;&lt;/div&gt;&lt;div&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; The marking bound to a resource (which may be a data unit) that name or designates the security attributes of that resources.&lt;/div&gt;&lt;div&gt;&lt;h4&gt;• Event Detection:-&lt;/h4&gt;&lt;/div&gt;&lt;div&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; Detection of security-relevant events.&lt;/div&gt;&lt;div&gt;&lt;h4&gt;• Security Audit Trails:-&lt;/h4&gt;&lt;/div&gt;&lt;div&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;Data collected and potentially used to facilitate a security audit, which is an independent review and examination of system records and activities.&lt;/div&gt;&lt;div&gt;&lt;h4&gt;• Security recovery:-&lt;/h4&gt;&lt;/div&gt;&lt;div&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; Deal with requests from mechanisms, such as event handling and management functions and takes recovery functions.&amp;nbsp;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='https://salutionteach.blogspot.com/feeds/1654468583602436831/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='https://salutionteach.blogspot.com/2023/10/security-mechanisms.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/1654468583602436831'/><link rel='self' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/1654468583602436831'/><link rel='alternate' type='text/html' href='https://salutionteach.blogspot.com/2023/10/security-mechanisms.html' title='Security Mechanisms:-'/><author><name>salutionteach</name><uri>http://www.blogger.com/profile/15753843071083819831</uri><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/AVvXsEj6pJwPC9Dq1YMOZiuwlCE1aCoq0IujmG9pq1j_f8OQ3ycobpRNhLj2IlG-lQYHT5J6aUKFMJYIkCrVSaNzXphHOIXzloJulph7n4WXWKWDmSz0bL-vPuA46ipgRR1Yk0USEFFp89gPNfkKF02lTevMe6Nu4JkdP8w65wa8mnKZCDPID5acurc6O83Lv4g/s72-w355-h212-c/security%20mechanisms.png" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-8766011798057583516.post-9179883609711361453</id><published>2023-10-22T05:34:00.006-07:00</published><updated>2023-10-22T06:29:25.774-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Access control"/><category scheme="http://www.blogger.com/atom/ns#" term="Authentication"/><category scheme="http://www.blogger.com/atom/ns#" term="Availability"/><category scheme="http://www.blogger.com/atom/ns#" term="Data confidentiality"/><category scheme="http://www.blogger.com/atom/ns#" term="Data integrity"/><category scheme="http://www.blogger.com/atom/ns#" term="Nonrepudiation"/><category scheme="http://www.blogger.com/atom/ns#" term="Security services"/><category scheme="http://www.blogger.com/atom/ns#" term="X.800 security services"/><title type='text'>Security Services</title><content type='html'>&lt;h2 style=&quot;text-align: left;&quot;&gt;&lt;b&gt;&amp;nbsp;Security Services (X.800):-&lt;/b&gt;&lt;/h2&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;Requirements X.800 defines security services in following
categories.&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;/p&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li&gt;Authentication&lt;/li&gt;&lt;li&gt;Access control&lt;/li&gt;&lt;li&gt;Data confidentiality&lt;/li&gt;&lt;li&gt;Data integrity&lt;/li&gt;&lt;li&gt;Nonrepudiation&lt;/li&gt;&lt;li&gt;Availability services&amp;nbsp;&lt;/li&gt;&lt;/ul&gt;&lt;p&gt;&lt;/p&gt;

&lt;h3 style=&quot;text-align: left;&quot;&gt;&lt;b&gt;1. Authentication:-&lt;/b&gt;&lt;/h3&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;The authentication service is concerned with assuring that a
communication is authentic:&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;/p&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li&gt;The recipient of the message should be sure that the
message came from the source that it claims to be&lt;/li&gt;&lt;/ul&gt;&lt;p&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;/p&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li&gt;All communicating parties should be sure that the
connection is not interfered with by unauthorized party.&lt;/li&gt;&lt;/ul&gt;&lt;p&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;Example: consider a person, using online banking service.
Both the user and the bank should be assured in identities of each other.&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;

&lt;h3 style=&quot;text-align: left;&quot;&gt;&lt;b&gt;2. Access control:-&lt;/b&gt;&lt;/h3&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;The prevention of unauthorized use of a resource (i.e., this
service controls who can have access to a &lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;resource, under what conditions access can occur, and what
those accessing the resource are allowed to &lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;do). &lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;

&lt;h3 style=&quot;text-align: left;&quot;&gt;3. Data confidentiality:-&lt;/h3&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;Protection of data from unauthorized disclosure. It
includes:&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;/p&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li&gt;Connection confidentiality &lt;/li&gt;&lt;li&gt;Connectionless confidentiality &lt;/li&gt;&lt;li&gt;Selective field confidentiality&lt;/li&gt;&lt;li&gt;Traffic-Flow
Confidentiality&lt;/li&gt;&lt;/ul&gt;&lt;p&gt;&lt;/p&gt;

&lt;h3 style=&quot;text-align: left;&quot;&gt;4. Data Integrity:-&lt;/h3&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;The assurance that data received are exactly as sent by an
authorized entity (i.e., contain no modification, insertion, deletion, or replay).&lt;/p&gt;

&lt;h3 style=&quot;text-align: left;&quot;&gt;&lt;b&gt;5. Nonrepudiation:-&lt;/b&gt;&lt;/h3&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;Provides protection against denial by one of the entities
involved in a communication of having &lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;participated in all or part of the communication. &lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;Nonrepudiation can be related to&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;/p&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li&gt;Origin: proof that the message was sent by the specified
party&lt;/li&gt;&lt;li&gt;Destination: proof that the message was received by the
specified party&lt;/li&gt;&lt;/ul&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;p&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;Example: Imagine a user of online banking who has made a
transaction, but later denied that. How the &lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;bank can protect itself in such situation?&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;

&lt;h3 style=&quot;text-align: left;&quot;&gt;6. Availability service:-&lt;/h3&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;

&lt;p class=&quot;MsoNormal&quot;&gt;The property of a system or a system resource being
accessible and usable upon demand by an authorized system entity, according to performance specifications for
the system (i.e., a system is available if it provides services according to the system design whenever
users request them).&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;br /&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&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/AVvXsEhDgLR_9Fd-fpVvXcfD-VSMimUzWhTmAWkuzt5LNsCzX3jcqGTHbSf42EEcu_KqwVIC9nx_d7JbuGeVhHkgJ4u7EOdDE6csbOUgROaAOiqnYjizUYvYcZV5hw4zS5GLJoHV9fdLyh0d59og_C4k7F1ZPHXZjYYK9TzYgPY3gamQ7-WSQm5xAo4Gn8uXNok&quot; style=&quot;margin-left: 1em; margin-right: 1em;&quot;&gt;&lt;img alt=&quot;&quot; data-original-height=&quot;1125&quot; data-original-width=&quot;954&quot; height=&quot;611&quot; src=&quot;https://blogger.googleusercontent.com/img/a/AVvXsEhDgLR_9Fd-fpVvXcfD-VSMimUzWhTmAWkuzt5LNsCzX3jcqGTHbSf42EEcu_KqwVIC9nx_d7JbuGeVhHkgJ4u7EOdDE6csbOUgROaAOiqnYjizUYvYcZV5hw4zS5GLJoHV9fdLyh0d59og_C4k7F1ZPHXZjYYK9TzYgPY3gamQ7-WSQm5xAo4Gn8uXNok=w519-h611&quot; width=&quot;519&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;br /&gt;&lt;p&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='https://salutionteach.blogspot.com/feeds/9179883609711361453/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='https://salutionteach.blogspot.com/2023/10/security-services.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/9179883609711361453'/><link rel='self' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/9179883609711361453'/><link rel='alternate' type='text/html' href='https://salutionteach.blogspot.com/2023/10/security-services.html' title='Security Services'/><author><name>salutionteach</name><uri>http://www.blogger.com/profile/15753843071083819831</uri><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/AVvXsEhDgLR_9Fd-fpVvXcfD-VSMimUzWhTmAWkuzt5LNsCzX3jcqGTHbSf42EEcu_KqwVIC9nx_d7JbuGeVhHkgJ4u7EOdDE6csbOUgROaAOiqnYjizUYvYcZV5hw4zS5GLJoHV9fdLyh0d59og_C4k7F1ZPHXZjYYK9TzYgPY3gamQ7-WSQm5xAo4Gn8uXNok=s72-w519-h611-c" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-8766011798057583516.post-7699383133031200487</id><published>2023-10-21T23:59:00.001-07:00</published><updated>2023-10-21T23:59:32.892-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="OSI architecture"/><category scheme="http://www.blogger.com/atom/ns#" term="OSI security architecture"/><category scheme="http://www.blogger.com/atom/ns#" term="Security architecture"/><title type='text'>OSI Security Architecture</title><content type='html'>&lt;h2 style=&quot;text-align: left;&quot;&gt;&amp;nbsp;ITU-T X.800 Security Architecture for OSI:-&lt;/h2&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;

&lt;p style=&quot;text-align: left;&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;The OSI Security Architecture is a framework that provides a systematic way&lt;/p&gt;&lt;p style=&quot;text-align: left;&quot;&gt;of defining the requirements for security and characterizing the approaches to satisfying those&lt;/p&gt;&lt;p style=&quot;text-align: left;&quot;&gt;requirements. &lt;a href=&quot;https://www.geeksforgeeks.org/osi-security-architecture/&quot;&gt;The OSI&lt;/a&gt; (Open Systems Interconnection) Security Architecture defines a systematic&lt;/p&gt;&lt;p style=&quot;text-align: left;&quot;&gt;approach to providing security at each layer. It defines security services and security mechanisms that&lt;/p&gt;&lt;p style=&quot;text-align: left;&quot;&gt;can be used at each of the &lt;a href=&quot;https://www.geeksforgeeks.org/open-systems-interconnection-model-osi/&quot;&gt;seven layers&lt;/a&gt; of the OSI model to provide security for data transmitted over a&lt;/p&gt;&lt;p style=&quot;text-align: left;&quot;&gt;network. These security services and mechanisms help to ensure the confidentiality, integrity, and&lt;/p&gt;&lt;p style=&quot;text-align: left;&quot;&gt;availability of the data.&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;The document defines security attacks, mechanisms, and services, and the relationships among these&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;Categories.&amp;nbsp;&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;ITU-T: International Telecommunication Union Telecommunication Standardization Sector&amp;nbsp;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;OSI: Open Systems Interconnections&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&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/AVvXsEgCohQ5xyhAl0_2RJWZewtPYSnK0i8PgSZA2tygbSnyYRQx2ezLTOPo1kSEuNh9N_QYSCXSjJn6KURoZzpnO6AH2Xmw8dmzlxavkKEkCQ6I0_KCIMwEelt-m-8cCKDEjb5sWnE3IEBN5NUqjIz86hNonceYU1l9BnNFI206yKSPb_KO1v5b8kUoqoLkFZQ/s846/OSI-Security-Architecture.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;385&quot; data-original-width=&quot;846&quot; height=&quot;146&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgCohQ5xyhAl0_2RJWZewtPYSnK0i8PgSZA2tygbSnyYRQx2ezLTOPo1kSEuNh9N_QYSCXSjJn6KURoZzpnO6AH2Xmw8dmzlxavkKEkCQ6I0_KCIMwEelt-m-8cCKDEjb5sWnE3IEBN5NUqjIz86hNonceYU1l9BnNFI206yKSPb_KO1v5b8kUoqoLkFZQ/s320/OSI-Security-Architecture.png&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;p style=&quot;text-align: left;&quot;&gt;&lt;b&gt;• Security attack:-&amp;nbsp;&lt;/b&gt;&lt;/p&gt;&lt;p style=&quot;text-align: left;&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;Any action that compromises the security of information owned by an organization.&lt;/p&gt;&lt;p style=&quot;text-align: left;&quot;&gt;&lt;b&gt;• Security mechanism:-&lt;/b&gt;&lt;/p&gt;&lt;p style=&quot;text-align: left;&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;A process (or a device incorporating such a process) that is designed to detect, prevent, or&lt;/p&gt;&lt;p style=&quot;text-align: left;&quot;&gt;recover from a security attack.&lt;/p&gt;&lt;p style=&quot;text-align: left;&quot;&gt;&lt;b&gt;• Security service:-&lt;/b&gt;&lt;/p&gt;&lt;p style=&quot;text-align: left;&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;A processing or communication service that enhances the security of the data processing&lt;/p&gt;&lt;p style=&quot;text-align: left;&quot;&gt;systems and the information transfers of an organization. The services are intended to counter security&lt;/p&gt;&lt;p style=&quot;text-align: left;&quot;&gt;attacks, and they make use of one or more security mechanisms to provide the service.&lt;/p&gt;&lt;p style=&quot;text-align: left;&quot;&gt;&lt;br /&gt;&lt;/p&gt;&lt;p class=&quot;MsoNormal&quot;&gt;&lt;br /&gt;&lt;/p&gt;</content><link rel='replies' type='application/atom+xml' href='https://salutionteach.blogspot.com/feeds/7699383133031200487/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='https://salutionteach.blogspot.com/2023/10/osi-security-architecture.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/7699383133031200487'/><link rel='self' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/7699383133031200487'/><link rel='alternate' type='text/html' href='https://salutionteach.blogspot.com/2023/10/osi-security-architecture.html' title='OSI Security Architecture'/><author><name>salutionteach</name><uri>http://www.blogger.com/profile/15753843071083819831</uri><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/AVvXsEgCohQ5xyhAl0_2RJWZewtPYSnK0i8PgSZA2tygbSnyYRQx2ezLTOPo1kSEuNh9N_QYSCXSjJn6KURoZzpnO6AH2Xmw8dmzlxavkKEkCQ6I0_KCIMwEelt-m-8cCKDEjb5sWnE3IEBN5NUqjIz86hNonceYU1l9BnNFI206yKSPb_KO1v5b8kUoqoLkFZQ/s72-c/OSI-Security-Architecture.png" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-8766011798057583516.post-8791177986507516139</id><published>2023-10-21T23:30:00.001-07:00</published><updated>2023-10-21T23:30:25.904-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Security design principles"/><category scheme="http://www.blogger.com/atom/ns#" term="Security principles"/><title type='text'>Principle security</title><content type='html'>&lt;p&gt;&amp;nbsp;There are five principles of security. They are as follows:&amp;nbsp;&lt;/p&gt;&lt;h3 style=&quot;text-align: left;&quot;&gt;&lt;b&gt;Confidentiality:-&lt;/b&gt;&lt;/h3&gt;&lt;p&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;The principle of confidentiality specifies that only the sender and the intended 
recipient should be able to access the content of the message.&lt;/p&gt;&lt;h3 style=&quot;text-align: left;&quot;&gt;Integrity:-&lt;/h3&gt;&lt;p&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;The confidential information sent by A to B which is accessed by C without the 
permission or knowledge of A and B.&amp;nbsp;&lt;/p&gt;&lt;h3 style=&quot;text-align: left;&quot;&gt;&amp;nbsp;Authentication:-&lt;/h3&gt;&lt;p&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; Authentication mechanism helps in establishing proof of identification.&amp;nbsp;&lt;/p&gt;&lt;h3 style=&quot;text-align: left;&quot;&gt;Access control:-&amp;nbsp;&lt;/h3&gt;&lt;p&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;Access control specifies and control who can access what.&amp;nbsp;&amp;nbsp;&lt;/p&gt;&lt;h3 style=&quot;text-align: left;&quot;&gt;Availability:-&amp;nbsp;&lt;/h3&gt;&lt;p&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; It means that assets are accessible to authorized parties at appropriate times.&amp;nbsp;&lt;/p&gt;&lt;div&gt;&lt;span style=&quot;text-align: justify;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='https://salutionteach.blogspot.com/feeds/8791177986507516139/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='https://salutionteach.blogspot.com/2023/10/principle-security.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/8791177986507516139'/><link rel='self' type='application/atom+xml' href='https://www.blogger.com/feeds/8766011798057583516/posts/default/8791177986507516139'/><link rel='alternate' type='text/html' href='https://salutionteach.blogspot.com/2023/10/principle-security.html' title='Principle security'/><author><name>salutionteach</name><uri>http://www.blogger.com/profile/15753843071083819831</uri><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><thr:total>0</thr:total></entry></feed>