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2026-01-11 13:24:27 -05:00
parent 5f05bd0b9f
commit 63ce1d952b
674 changed files with 4797 additions and 562 deletions
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+175 -15
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@@ -9,7 +9,7 @@
<!--******************************************-->
<!--* Authored with PreTeXt *-->
<!--* pretextbook.org *-->
<!--* Theme: default-modern *-->
<!--* Theme: boulder *-->
<!--* Palette: *-->
<!--******************************************-->
<head xmlns:og="http://ogp.me/ns#" xmlns:book="https://ogp.me/ns/book#">
@@ -101,15 +101,15 @@ eBookConfig.allow_pairs = false;
eBookConfig.enableScratchAC = false;
eBookConfig.build_info = "";
eBookConfig.python3 = null;
eBookConfig.runestone_version = '7.11.5';
eBookConfig.runestone_version = '7.11.8';
eBookConfig.jobehost = '';
eBookConfig.proxyuri_runs = '';
eBookConfig.proxyuri_files = '';
eBookConfig.enable_chatcodes = false;
</script>
<!--*** Runestone Services ***-->
<script src="_static/prefix-runtime.42217a82c75796c8.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.7e141ad8414abf4a.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
<link rel="stylesheet" type="text/css" href="_static/prefix-runestone.f4ab138da65f4203.css">
<script src="_static/prefix-runtime.991c135ccf182bf5.bundle.js"></script><script src="_static/prefix-723.3e6434f80549315a.bundle.js"></script><script src="_static/prefix-runestone.1c010553c35c544c.bundle.js"></script><link rel="stylesheet" type="text/css" href="_static/prefix-723.3bccd435914aa0ff.css">
<link rel="stylesheet" type="text/css" href="_static/prefix-runestone.677a75a9120449ff.css">
<script src="_static/pretext/js/lti_iframe_resizer.js"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min.js" integrity="sha512-4xUl/d6D6THrAnXAwGajXkoWaeMNwEKK4iNfq5DotEbLPAfk6FSxSP3ydNxqDgCw1c/0Z1Jg6L8h2j+++9BZmg==" crossorigin="anonymous" referrerpolicy="no-referrer"></script><script src="lunr-pretext-search-index.js" async=""></script><script src="_static/pretext/js/pretext_search.js"></script><script src="_static/pretext/js/lib/knowl.js"></script><!--knowl.js code controls Sage Cells within knowls--><script>sagecellEvalName='Evaluate (Sage)';
</script>
</head>
@@ -129,7 +129,13 @@ eBookConfig.enable_chatcodes = false;
<ol id="searchresults" class="searchresults"></ol>
</div>
</div>
<span class="nav-other-controls"><button id="light-dark-button" class="light-dark-button button" title="Dark Mode"><span class="icon material-symbols-outlined" aria-hidden="true">&#xe51c;</span><span class="name">Dark Mode</span></button></span><span class="treebuttons"><a class="previous-button button" href="sec-Correlation.html" title="Previous"><span class="icon material-symbols-outlined" aria-hidden="true">&#xe5cb;</span><span class="name">Prev</span></a><a class="up-button button" href="ch-Linear-Regression.html" title="Up"><span class="icon material-symbols-outlined" aria-hidden="true">&#xe5ce;</span><span class="name">Up</span></a><a class="next-button button" href="backmatter.html" title="Next"><span class="name">Next</span><span class="icon material-symbols-outlined" aria-hidden="true">&#xe5cc;</span></a></span>
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<p>Copy the code below to embed this page in your own website or LMS page.</p>
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</div>
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<button id="light-dark-button" class="light-dark-button button" title="Dark Mode"><span class="icon material-symbols-outlined" aria-hidden="true">&#xe51c;</span><span class="name">Dark Mode</span></button></span><span class="treebuttons"><a class="previous-button button" href="sec-Correlation.html" title="Previous"><span class="icon material-symbols-outlined" aria-hidden="true">&#xe5cb;</span><span class="name">Prev</span></a><a class="up-button button" href="ch-Linear-Regression.html" title="Up"><span class="icon material-symbols-outlined" aria-hidden="true">&#xe5ce;</span><span class="name">Up</span></a><a class="next-button button" href="backmatter.html" title="Next"><span class="name">Next</span><span class="icon material-symbols-outlined" aria-hidden="true">&#xe5cc;</span></a></span>
</div></nav><div id="latex-macros" class="hidden-content process-math" style="display:none"><span class="process-math">\(\newcommand{\N}{\mathbb N}
\newcommand{\Z}{\mathbb Z}
\newcommand{\Q}{\mathbb Q}
@@ -144,6 +150,7 @@ eBookConfig.enable_chatcodes = false;
\DeclareMathOperator{\E}{E}
\DeclareMathOperator{\Var}{Var}
\DeclareMathOperator{\Cov}{Cov}
\newcommand{\lt}{&lt;}
\newcommand{\gt}{&gt;}
\newcommand{\amp}{&amp;}
@@ -151,9 +158,13 @@ eBookConfig.enable_chatcodes = false;
\newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}}
\)</span></div>
<div class="ptx-page">
<div id="ptx-sidebar" class="ptx-sidebar"><nav id="ptx-toc" class="ptx-toc depth2 focused" data-preexpanded-levels="0" data-max-levels="2"><ul class="structural toc-item-list contains-active">
<div id="ptx-sidebar" class="ptx-sidebar"><nav id="ptx-toc" class="ptx-toc depth2"><ul class="structural toc-item-list contains-active">
<li class="toc-item toc-frontmatter"><div class="toc-title-box"><a href="frontmatter.html" class="internal"><span class="title">Front Matter</span></a></div></li>
<li class="toc-item toc-chapter">
<div class="toc-title-box"><a href="ch-Introduction.html" class="internal"><span class="codenumber">0</span> <span class="title">Introduction</span></a></div>
<ul class="structural toc-item-list"><li class="toc-item toc-section"><div class="toc-title-box"><a href="sec-Introduction.html" class="internal"><span class="codenumber">0.1</span> <span class="title">Introduction</span></a></div></li></ul>
</li>
<li class="toc-item toc-chapter">
<div class="toc-title-box"><a href="ch-Probability.html" class="internal"><span class="codenumber">1</span> <span class="title">Probability Theory</span></a></div>
<ul class="structural toc-item-list">
<li class="toc-item toc-section">
@@ -201,6 +212,10 @@ eBookConfig.enable_chatcodes = false;
<li class="toc-item toc-exercises"><div class="toc-title-box"><a href="sec-Continuous-RVs.html#exercises-Continuous-RVs" class="internal"><span class="codenumber">2.2.5</span> <span class="title">Exercises</span></a></div></li>
</ul>
</li>
<li class="toc-item toc-section">
<div class="toc-title-box"><a href="sec-Joint-Distributions.html" class="internal"><span class="codenumber">2.3</span> <span class="title">Joint Distributions</span></a></div>
<ul class="structural toc-item-list"><li class="toc-item toc-exercises"><div class="toc-title-box"><a href="sec-Joint-Distributions.html#exercises-Joint-Distributions" class="internal"><span class="codenumber">2.3</span> <span class="title">Exercises</span></a></div></li></ul>
</li>
</ul>
</li>
<li class="toc-item toc-chapter">
@@ -228,24 +243,48 @@ eBookConfig.enable_chatcodes = false;
<li class="toc-item toc-chapter">
<div class="toc-title-box"><a href="ch-Confidence-Intervals.html" class="internal"><span class="codenumber">4</span> <span class="title">Confidence Intervals</span></a></div>
<ul class="structural toc-item-list">
<li class="toc-item toc-section"><div class="toc-title-box"><a href="sec-CLT.html" class="internal"><span class="codenumber">4.1</span> <span class="title">Central Limit Theorem</span></a></div></li>
<li class="toc-item toc-section"><div class="toc-title-box"><a href="sec-Confidence-Intervals.html" class="internal"><span class="codenumber">4.2</span> <span class="title">Confidence Intervals</span></a></div></li>
<li class="toc-item toc-section">
<div class="toc-title-box"><a href="sec-CLT.html" class="internal"><span class="codenumber">4.1</span> <span class="title">Central Limit Theorem</span></a></div>
<ul class="structural toc-item-list"><li class="toc-item toc-exercises"><div class="toc-title-box"><a href="sec-CLT.html#exercises-CLT" class="internal"><span class="codenumber">4.1</span> <span class="title">Exercises</span></a></div></li></ul>
</li>
<li class="toc-item toc-section">
<div class="toc-title-box"><a href="sec-Confidence-Intervals.html" class="internal"><span class="codenumber">4.2</span> <span class="title">Confidence Intervals</span></a></div>
<ul class="structural toc-item-list"><li class="toc-item toc-exercises"><div class="toc-title-box"><a href="sec-Confidence-Intervals.html#exercises-Confidence-Intervals" class="internal"><span class="codenumber">4.2</span> <span class="title">Exercises</span></a></div></li></ul>
</li>
</ul>
</li>
<li class="toc-item toc-chapter">
<div class="toc-title-box"><a href="ch-Hypothesis-Testing.html" class="internal"><span class="codenumber">5</span> <span class="title">Hypothesis Testing</span></a></div>
<ul class="structural toc-item-list">
<li class="toc-item toc-section"><div class="toc-title-box"><a href="sec-One-Sample-Tests.html" class="internal"><span class="codenumber">5.1</span> <span class="title">One Sample Tests</span></a></div></li>
<li class="toc-item toc-section"><div class="toc-title-box"><a href="sec-Two-Sample-Tests.html" class="internal"><span class="codenumber">5.2</span> <span class="title">Two Sample Tests</span></a></div></li>
<li class="toc-item toc-section"><div class="toc-title-box"><a href="sec-Power.html" class="internal"><span class="codenumber">5.3</span> <span class="title">Power of a Test</span></a></div></li>
<li class="toc-item toc-section"><div class="toc-title-box"><a href="sec-Chi-Squared.html" class="internal"><span class="codenumber">5.4</span> <span class="title"><span class="process-math">\(\chi^2\)</span> Test</span></a></div></li>
<li class="toc-item toc-section">
<div class="toc-title-box"><a href="sec-One-Sample-Tests.html" class="internal"><span class="codenumber">5.1</span> <span class="title">One Sample Tests</span></a></div>
<ul class="structural toc-item-list"><li class="toc-item toc-exercises"><div class="toc-title-box"><a href="sec-One-Sample-Tests.html#exercises-One-Sample-Tests" class="internal"><span class="codenumber">5.1</span> <span class="title">Exercises</span></a></div></li></ul>
</li>
<li class="toc-item toc-section">
<div class="toc-title-box"><a href="sec-Two-Sample-Tests.html" class="internal"><span class="codenumber">5.2</span> <span class="title">Two Sample Tests</span></a></div>
<ul class="structural toc-item-list"><li class="toc-item toc-exercises"><div class="toc-title-box"><a href="sec-Two-Sample-Tests.html#exercises-Two-Sample-Tests" class="internal"><span class="codenumber">5.2</span> <span class="title">Exercises</span></a></div></li></ul>
</li>
<li class="toc-item toc-section">
<div class="toc-title-box"><a href="sec-Power.html" class="internal"><span class="codenumber">5.3</span> <span class="title">Power of a Test</span></a></div>
<ul class="structural toc-item-list"><li class="toc-item toc-exercises"><div class="toc-title-box"><a href="sec-Power.html#exercises-Power" class="internal"><span class="codenumber">5.3</span> <span class="title">Exercises</span></a></div></li></ul>
</li>
<li class="toc-item toc-section">
<div class="toc-title-box"><a href="sec-Chi-Squared.html" class="internal"><span class="codenumber">5.4</span> <span class="title"><span class="process-math">\(\chi^2\)</span> Test</span></a></div>
<ul class="structural toc-item-list"><li class="toc-item toc-exercises"><div class="toc-title-box"><a href="sec-Chi-Squared.html#exercises-Chi-Squared" class="internal"><span class="codenumber">5.4</span> <span class="title">Exercises</span></a></div></li></ul>
</li>
</ul>
</li>
<li class="toc-item toc-chapter contains-active">
<div class="toc-title-box"><a href="ch-Linear-Regression.html" class="internal"><span class="codenumber">6</span> <span class="title">Linear Regression</span></a></div>
<ul class="structural toc-item-list contains-active">
<li class="toc-item toc-section"><div class="toc-title-box"><a href="sec-Correlation.html" class="internal"><span class="codenumber">6.1</span> <span class="title">Correlation</span></a></div></li>
<li class="toc-item toc-section active"><div class="toc-title-box"><a href="sec-Linear-Regression.html" class="internal"><span class="codenumber">6.2</span> <span class="title">Linear Regression</span></a></div></li>
<li class="toc-item toc-section">
<div class="toc-title-box"><a href="sec-Correlation.html" class="internal"><span class="codenumber">6.1</span> <span class="title">Correlation</span></a></div>
<ul class="structural toc-item-list"><li class="toc-item toc-exercises"><div class="toc-title-box"><a href="sec-Correlation.html#exercises-Correlation" class="internal"><span class="codenumber">6.1</span> <span class="title">Exercises</span></a></div></li></ul>
</li>
<li class="toc-item toc-section contains-active">
<div class="toc-title-box"><a href="sec-Linear-Regression.html" class="internal"><span class="codenumber">6.2</span> <span class="title">Linear Regression</span></a></div>
<ul class="structural toc-item-list active"><li class="toc-item toc-exercises"><div class="toc-title-box"><a href="sec-Linear-Regression.html#exercises-Linear-Regression" class="internal"><span class="codenumber">6.2</span> <span class="title">Exercises</span></a></div></li></ul>
</li>
</ul>
</li>
<li class="toc-item toc-backmatter"><div class="toc-title-box"><a href="backmatter.html" class="internal"><span class="title">Backmatter</span></a></div></li>
@@ -255,7 +294,128 @@ eBookConfig.enable_chatcodes = false;
</h2>
<div class="para" id="sec-Linear-Regression-2">Text of section.<div class="autopermalink" data-description="Paragraph"><a href="#sec-Linear-Regression-2" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
</div>
<div class="autopermalink" data-description="Section 6.2: Linear Regression"><a href="#sec-Linear-Regression" title="Copy heading and permalink for Section 6.2: Linear Regression" aria-label="Copy heading and permalink for Section 6.2: Linear Regression">🔗</a></div></section></div>
<section class="exercises" id="exercises-Linear-Regression"><h3 class="heading hide-type">
<span class="type">Exercises</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="codenumber"></span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="title">Exercises</span>
</h3>
<article class="exercise exercise-like" id="exercises-Linear-Regression-1"><h4 class="heading"><span class="codenumber">1<span class="period heading-divison-mark heading-divison-mark__period">.</span></span></h4>
<div class="para" id="exercises-Linear-Regression-1-1-1">A survey of local companies collects information about marketing budgets <span class="process-math">\(X\)</span> and revenue <span class="process-math">\(Y\)</span> (each measures in thousands of dollars), shown below. A linear regression gives the best linear fit as <span class="process-math">\(Y = 18.28 X + 29.69\text{.}\)</span> What is the coefficient of determination <span class="process-math">\(r^2\text{?}\)</span><div class="autopermalink" data-description="Paragraph"><a href="#exercises-Linear-Regression-1-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
</div> <figure class="table table-like" id="exercises-Linear-Regression-1-1-2"><figcaption><span class="type">Table</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="codenumber">6.2.1<span class="period heading-divison-mark heading-divison-mark__period">.</span></span><span class="space heading-divison-mark heading-divison-mark__space"> </span><div class="autopermalink" data-description="Table 6.2.1: "><a href="#exercises-Linear-Regression-1-1-2" title="Copy heading and permalink for Table 6.2.1: " aria-label="Copy heading and permalink for Table 6.2.1: ">🔗</a></div></figcaption><div class="tabular-box natural-width"><table class="tabular">
<tr class="header-horizontal">
<th scope="col" class="r m b1 r0 l0 t0 lines"><span class="process-math">\(x_i\)</span></th>
<th scope="col" class="r m b1 r0 l0 t0 lines"><span class="process-math">\(y_i\)</span></th>
<th scope="col" class="r m b1 r0 l0 t0 lines"><span class="process-math">\((y_i - \text{avg})^2\)</span></th>
<th scope="col" class="r m b1 r0 l0 t0 lines"><span class="process-math">\(\text{pred } y_i\)</span></th>
<th scope="col" class="r m b1 r0 l0 t0 lines"><span class="process-math">\(\text{res}^2\)</span></th>
</tr>
<tr>
<td class="r m b0 r0 l0 t0 lines">200</td>
<td class="r m b0 r0 l0 t0 lines">4300</td>
<td class="r m b0 r0 l0 t0 lines">2073600</td>
<td class="r m b0 r0 l0 t0 lines">3686</td>
<td class="r m b0 r0 l0 t0 lines">377377</td>
</tr>
<tr>
<td class="r m b0 r0 l0 t0 lines">420</td>
<td class="r m b0 r0 l0 t0 lines">7700</td>
<td class="r m b0 r0 l0 t0 lines">3841600</td>
<td class="r m b0 r0 l0 t0 lines">7707</td>
<td class="r m b0 r0 l0 t0 lines">53</td>
</tr>
<tr>
<td class="r m b0 r0 l0 t0 lines">270</td>
<td class="r m b0 r0 l0 t0 lines">4500</td>
<td class="r m b0 r0 l0 t0 lines">1537600</td>
<td class="r m b0 r0 l0 t0 lines">4965</td>
<td class="r m b0 r0 l0 t0 lines">216495</td>
</tr>
<tr>
<td class="r m b0 r0 l0 t0 lines">380</td>
<td class="r m b0 r0 l0 t0 lines">7000</td>
<td class="r m b0 r0 l0 t0 lines">1587600</td>
<td class="r m b0 r0 l0 t0 lines">6976</td>
<td class="r m b0 r0 l0 t0 lines">572</td>
</tr>
<tr>
<td class="r m b1 r0 l0 t0 lines">300</td>
<td class="r m b1 r0 l0 t0 lines">5200</td>
<td class="r m b1 r0 l0 t0 lines">291600</td>
<td class="r m b1 r0 l0 t0 lines">5514</td>
<td class="r m b1 r0 l0 t0 lines">98401</td>
</tr>
<tr>
<td class="r m b0 r0 l0 t0 lines">sum:</td>
<td class="r m b0 r0 l0 t0 lines">28700</td>
<td class="r m b0 r0 l0 t0 lines">9332000</td>
<td class="r m b0 r0 l0 t0 lines">28848</td>
<td class="r m b0 r0 l0 t0 lines">692898</td>
</tr>
</table></div></figure><div class="autopermalink" data-description="Exercise 6.2.1"><a href="#exercises-Linear-Regression-1" title="Copy heading and permalink for Exercise 6.2.1" aria-label="Copy heading and permalink for Exercise 6.2.1">🔗</a></div></article><article class="exercise exercise-like" id="exercises-Linear-Regression-2"><h4 class="heading"><span class="codenumber">2<span class="period heading-divison-mark heading-divison-mark__period">.</span></span></h4>
<div class="para" id="exercises-Linear-Regression-2-1-1">A sample of 100 measurements are taken and a best fit line is calculated, resulting in the data below (the final line shows the sums for each column). Find the coefficient of determination.<div class="autopermalink" data-description="Paragraph"><a href="#exercises-Linear-Regression-2-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
</div> <figure class="table table-like" id="exercises-Linear-Regression-2-1-2"><figcaption><span class="type">Table</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="codenumber">6.2.2<span class="period heading-divison-mark heading-divison-mark__period">.</span></span><span class="space heading-divison-mark heading-divison-mark__space"> </span><div class="autopermalink" data-description="Table 6.2.2: "><a href="#exercises-Linear-Regression-2-1-2" title="Copy heading and permalink for Table 6.2.2: " aria-label="Copy heading and permalink for Table 6.2.2: ">🔗</a></div></figcaption><div class="tabular-box natural-width"><table class="tabular">
<tr class="header-horizontal">
<th scope="col" class="c m b1 r0 l0 t0 lines"><span class="process-math">\(x_i\)</span></th>
<th scope="col" class="c m b1 r0 l0 t0 lines"><span class="process-math">\(y_i\)</span></th>
<th scope="col" class="c m b1 r0 l0 t0 lines"><span class="process-math">\(\text{pred } y_i\)</span></th>
<th scope="col" class="c m b1 r0 l0 t0 lines"><span class="process-math">\((y - \text{avg})^2\)</span></th>
<th scope="col" class="c m b1 r0 l0 t0 lines"><span class="process-math">\(\text{res}^2\)</span></th>
</tr>
<tr>
<td class="c m b0 r0 l0 t0 lines">38.00</td>
<td class="c m b0 r0 l0 t0 lines">121.00</td>
<td class="c m b0 r0 l0 t0 lines">93.17</td>
<td class="c m b0 r0 l0 t0 lines">11.83</td>
<td class="c m b0 r0 l0 t0 lines">774.33</td>
</tr>
<tr>
<td class="c m b0 r0 l0 t0 lines">87.00</td>
<td class="c m b0 r0 l0 t0 lines">241.00</td>
<td class="c m b0 r0 l0 t0 lines">238.95</td>
<td class="c m b0 r0 l0 t0 lines">13586.23</td>
<td class="c m b0 r0 l0 t0 lines">4.22</td>
</tr>
<tr>
<td class="c m b0 r0 l0 t0 lines">30.00</td>
<td class="c m b0 r0 l0 t0 lines">61.00</td>
<td class="c m b0 r0 l0 t0 lines">69.37</td>
<td class="c m b0 r0 l0 t0 lines">4024.63</td>
<td class="c m b0 r0 l0 t0 lines">70.12</td>
</tr>
<tr>
<td class="c m b0 r0 l0 t0 lines">35.00</td>
<td class="c m b0 r0 l0 t0 lines">85.00</td>
<td class="c m b0 r0 l0 t0 lines">84.25</td>
<td class="c m b0 r0 l0 t0 lines">1555.51</td>
<td class="c m b0 r0 l0 t0 lines">0.57</td>
</tr>
<tr>
<td class="c m b0 r0 l0 t0 lines"></td>
<td class="c m b0 r0 l0 t0 lines"></td>
<td class="c m b0 r0 l0 t0 lines"></td>
<td class="c m b0 r0 l0 t0 lines"></td>
<td class="c m b0 r0 l0 t0 lines"></td>
</tr>
<tr>
<td class="c m b0 r0 l0 t0 lines">33.00</td>
<td class="c m b0 r0 l0 t0 lines">108.00</td>
<td class="c m b0 r0 l0 t0 lines">78.30</td>
<td class="c m b0 r0 l0 t0 lines">270.27</td>
<td class="c m b0 r0 l0 t0 lines">882.19</td>
</tr>
<tr>
<td class="c m b1 r0 l0 t0 lines">26.00</td>
<td class="c m b1 r0 l0 t0 lines">32.00</td>
<td class="c m b1 r0 l0 t0 lines">57.47</td>
<td class="c m b1 r0 l0 t0 lines">8545.15</td>
<td class="c m b1 r0 l0 t0 lines">648.91</td>
</tr>
<tr>
<td class="c m b0 r0 l0 t0 lines">sum:</td>
<td class="c m b0 r0 l0 t0 lines">12444.00</td>
<td class="c m b0 r0 l0 t0 lines">12444.00</td>
<td class="c m b0 r0 l0 t0 lines">515206.64</td>
<td class="c m b0 r0 l0 t0 lines">29789.80</td>
</tr>
</table></div></figure><div class="autopermalink" data-description="Exercise 6.2.2"><a href="#exercises-Linear-Regression-2" title="Copy heading and permalink for Exercise 6.2.2" aria-label="Copy heading and permalink for Exercise 6.2.2">🔗</a></div></article><div class="autopermalink" data-description="Exercises 6.2"><a href="#exercises-Linear-Regression" title="Copy heading and permalink for Exercises 6.2" aria-label="Copy heading and permalink for Exercises 6.2">🔗</a></div></section><div class="autopermalink" data-description="Section 6.2: Linear Regression"><a href="#sec-Linear-Regression" title="Copy heading and permalink for Section 6.2: Linear Regression" aria-label="Copy heading and permalink for Section 6.2: Linear Regression">🔗</a></div></section></div>
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