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<title>Applied Statistics with R (STAT 215)</title>
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<div class="table cover">
<div class="cover-card table-cell table-middle">
<span class="author_name">Applied Statistics with R (STAT 215)</span>
<span class="author_job">Tutorial 1: The R Language</span>
<span class="author_bio mbm">Ziling Ma</span>
<span class="author_bio mbm"><a href="mailto:ziling.ma@kaust.edu.sa" class="email">ziling.ma@kaust.edu.sa</a></span>
<span class="author_bio mbm">September 29, 2024</span>
</div>
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</div>
<div class="col s12 m9">
<div class="post-listing">
<div id="TOC" class="toc">
<ul>
<li><a href="#Ex1" id="toc-Ex1"><span class="toc-section-number">1</span> Assigning Objects</a></li>
<li><a href="#Ex2" id="toc-Ex2"><span class="toc-section-number">2</span> Vectors</a></li>
<li><a href="#Ex3" id="toc-Ex3"><span class="toc-section-number">3</span> Matrix operations</a></li>
<li><a href="#Ex4" id="toc-Ex4"><span class="toc-section-number">4</span> Matrix and functions</a></li>
<li><a href="#Ex5" id="toc-Ex5"><span class="toc-section-number">5</span> Recursive functions 1</a></li>
<li><a href="#Ex6" id="toc-Ex6"><span class="toc-section-number">6</span> Graph function</a></li>
<li><a href="#Ex7" id="toc-Ex7"><span class="toc-section-number">7</span> Linear regression</a></li>
<li><a href="#r-markdown-and-r-sweave" id="toc-r-markdown-and-r-sweave"><span class="toc-section-number">8</span> <code>R Markdown</code> and
<code>R Sweave</code></a></li>
<li><a href="#a-fun-exercise-if-you-would-like-to-try" id="toc-a-fun-exercise-if-you-would-like-to-try"><span class="toc-section-number">9</span> A fun exercise if you would like to
try</a>
<ul>
<li><a href="#recursive-functions" id="toc-recursive-functions"><span class="toc-section-number">9.1</span> Recursive functions</a></li>
</ul></li>
</ul>
</div>
<div id="post">
<article class="post-content">
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<div id="Ex1" class="section level1" number="1">
<h1><span class="header-section-number">1</span> Assigning Objects</h1>
<ol style="list-style-type: lower-alpha">
<li>Create an object that stores the value <span class="math inline">\(32 × \frac{41}{8}\)</span>.</li>
</ol>
<details>
<summary>
<span style="color:blue">Click for answer</span>
</summary>
<div class="sourceCode" id="cb1"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb1-1"><a href="#cb1-1" tabindex="-1"></a>a <span class="ot"><-</span> <span class="dv">32</span> <span class="sc">*</span> <span class="dv">41</span> <span class="sc">/</span> <span class="dv">8</span></span>
<span id="cb1-2"><a href="#cb1-2" tabindex="-1"></a><span class="fu">print</span>(a)</span></code></pre></div>
<pre><code>## [1] 164</code></pre>
<div class="sourceCode" id="cb3"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb3-1"><a href="#cb3-1" tabindex="-1"></a><span class="co"># or you can simply use 'a'</span></span></code></pre></div>
</details>
<ol start="2" style="list-style-type: lower-alpha">
<li>Overwrite your object in (a) by itself divided by <span class="math inline">\(2.33\)</span>. Print the result to the
console.</li>
</ol>
<details>
<summary>
<span style="color:blue">Click for answer</span>
</summary>
<div class="sourceCode" id="cb4"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb4-1"><a href="#cb4-1" tabindex="-1"></a><span class="co"># Notice here we would like to overwrite </span></span>
<span id="cb4-2"><a href="#cb4-2" tabindex="-1"></a>a <span class="ot"><-</span> a <span class="sc">/</span> <span class="fl">2.33</span></span>
<span id="cb4-3"><a href="#cb4-3" tabindex="-1"></a><span class="co"># check value of a </span></span>
<span id="cb4-4"><a href="#cb4-4" tabindex="-1"></a>a</span></code></pre></div>
<pre><code>## [1] 70.38627</code></pre>
</details>
<ol start="3" style="list-style-type: lower-alpha">
<li>Create a new object with the value <span class="math inline">\(−8.2
× 10^{−3}\)</span>.</li>
</ol>
<details>
<summary>
<span style="color:blue">Click for answer</span>
</summary>
<div class="sourceCode" id="cb6"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb6-1"><a href="#cb6-1" tabindex="-1"></a>b <span class="ot"><-</span> <span class="sc">-</span><span class="fl">8.2</span> <span class="sc">*</span> <span class="dv">10</span><span class="sc">^</span>(<span class="sc">-</span><span class="dv">3</span>)</span></code></pre></div>
</details>
<ol start="4" style="list-style-type: lower-alpha">
<li>Print directly to the console the result of multiplying (b) by
(c).</li>
</ol>
<details>
<summary>
<span style="color:blue">Click for answer</span>
</summary>
<div class="sourceCode" id="cb7"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb7-1"><a href="#cb7-1" tabindex="-1"></a>(a <span class="sc">*</span> b)</span></code></pre></div>
<pre><code>## [1] -0.5771674</code></pre>
</details>
<p><a href="#Ex1">Back to</a> <a href="#top">top</a></p>
</div>
<div id="Ex2" class="section level1" number="2">
<h1><span class="header-section-number">2</span> Vectors</h1>
<ol style="list-style-type: lower-alpha">
<li>Create and store a sequence of values from 5 to −11 that progresses
in steps of 0.3.</li>
</ol>
<details>
<summary>
<span style="color:blue">Click for answer</span>
</summary>
<div class="sourceCode" id="cb9"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb9-1"><a href="#cb9-1" tabindex="-1"></a>sq <span class="ot"><-</span> <span class="fu">seq</span>(<span class="dv">5</span>,<span class="sc">-</span><span class="dv">11</span>,<span class="at">by=</span><span class="sc">-</span><span class="fl">0.3</span>)</span>
<span id="cb9-2"><a href="#cb9-2" tabindex="-1"></a>sq</span></code></pre></div>
<pre><code>## [1] 5.0 4.7 4.4 4.1 3.8 3.5 3.2 2.9 2.6 2.3 2.0 1.7
## [13] 1.4 1.1 0.8 0.5 0.2 -0.1 -0.4 -0.7 -1.0 -1.3 -1.6 -1.9
## [25] -2.2 -2.5 -2.8 -3.1 -3.4 -3.7 -4.0 -4.3 -4.6 -4.9 -5.2 -5.5
## [37] -5.8 -6.1 -6.4 -6.7 -7.0 -7.3 -7.6 -7.9 -8.2 -8.5 -8.8 -9.1
## [49] -9.4 -9.7 -10.0 -10.3 -10.6 -10.9</code></pre>
</details>
<ol start="2" style="list-style-type: lower-alpha">
<li>Overwrite the object from (a) using the same sequence with the order
reversed.</li>
</ol>
<details>
<summary>
<span style="color:blue">Click for answer</span>
</summary>
<div class="sourceCode" id="cb11"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb11-1"><a href="#cb11-1" tabindex="-1"></a>sq <span class="ot"><-</span> <span class="fu">rev</span>(sq)</span>
<span id="cb11-2"><a href="#cb11-2" tabindex="-1"></a>sq</span></code></pre></div>
<pre><code>## [1] -10.9 -10.6 -10.3 -10.0 -9.7 -9.4 -9.1 -8.8 -8.5 -8.2 -7.9 -7.6
## [13] -7.3 -7.0 -6.7 -6.4 -6.1 -5.8 -5.5 -5.2 -4.9 -4.6 -4.3 -4.0
## [25] -3.7 -3.4 -3.1 -2.8 -2.5 -2.2 -1.9 -1.6 -1.3 -1.0 -0.7 -0.4
## [37] -0.1 0.2 0.5 0.8 1.1 1.4 1.7 2.0 2.3 2.6 2.9 3.2
## [49] 3.5 3.8 4.1 4.4 4.7 5.0</code></pre>
</details>
<ol start="3" style="list-style-type: lower-alpha">
<li>Repeat the vector c(-1,3,-5,7,-9) twice, with each element repeated
10 times, and store the result. Display the result sorted from largest
to smallest.</li>
</ol>
<details>
<summary>
<span style="color:blue">Click for answer</span>
</summary>
<div class="sourceCode" id="cb13"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb13-1"><a href="#cb13-1" tabindex="-1"></a><span class="co"># Create the vector</span></span>
<span id="cb13-2"><a href="#cb13-2" tabindex="-1"></a>vec <span class="ot"><-</span> <span class="fu">c</span>(<span class="sc">-</span><span class="dv">1</span>, <span class="dv">3</span>, <span class="sc">-</span><span class="dv">5</span>, <span class="dv">7</span>, <span class="sc">-</span><span class="dv">9</span>)</span>
<span id="cb13-3"><a href="#cb13-3" tabindex="-1"></a></span>
<span id="cb13-4"><a href="#cb13-4" tabindex="-1"></a><span class="co"># Repeat the vector twice, with each element repeated 10 times</span></span>
<span id="cb13-5"><a href="#cb13-5" tabindex="-1"></a>repeated_vec <span class="ot"><-</span> <span class="fu">rep</span>(vec, <span class="at">each =</span> <span class="dv">10</span>, <span class="at">times =</span> <span class="dv">2</span>)</span>
<span id="cb13-6"><a href="#cb13-6" tabindex="-1"></a></span>
<span id="cb13-7"><a href="#cb13-7" tabindex="-1"></a><span class="co"># Sort the result from largest to smallest</span></span>
<span id="cb13-8"><a href="#cb13-8" tabindex="-1"></a>sorted_vec <span class="ot"><-</span> <span class="fu">sort</span>(repeated_vec, <span class="at">decreasing =</span> <span class="cn">TRUE</span>)</span>
<span id="cb13-9"><a href="#cb13-9" tabindex="-1"></a></span>
<span id="cb13-10"><a href="#cb13-10" tabindex="-1"></a><span class="co"># Print the sorted result</span></span>
<span id="cb13-11"><a href="#cb13-11" tabindex="-1"></a>sorted_vec</span></code></pre></div>
<pre><code>## [1] 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 3 3 3 3
## [26] 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
## [51] -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -5 -5 -5 -5 -5 -5 -5 -5 -5 -5 -5 -5 -5 -5 -5
## [76] -5 -5 -5 -5 -5 -9 -9 -9 -9 -9 -9 -9 -9 -9 -9 -9 -9 -9 -9 -9 -9 -9 -9 -9 -9</code></pre>
</details>
<ol start="4" style="list-style-type: lower-alpha">
<li>Extract the first and last elements of your vector from (b), storing
them as a new object.</li>
</ol>
<details>
<summary>
<span style="color:blue">Click for answer</span>
</summary>
<div class="sourceCode" id="cb15"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb15-1"><a href="#cb15-1" tabindex="-1"></a><span class="co"># We name the vector 'sq'</span></span>
<span id="cb15-2"><a href="#cb15-2" tabindex="-1"></a></span>
<span id="cb15-3"><a href="#cb15-3" tabindex="-1"></a><span class="co"># Extract the first element of 'sq', notice in R (also in Matlab), we start from 1 instead of 0 like in Python</span></span>
<span id="cb15-4"><a href="#cb15-4" tabindex="-1"></a>sq[<span class="dv">1</span>]</span></code></pre></div>
<pre><code>## [1] -10.9</code></pre>
<div class="sourceCode" id="cb17"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb17-1"><a href="#cb17-1" tabindex="-1"></a><span class="co"># Extract the last element, same as in Python you use -1, in Matlab you use 'end'</span></span>
<span id="cb17-2"><a href="#cb17-2" tabindex="-1"></a>sq[<span class="fu">length</span>(sq)]</span></code></pre></div>
<pre><code>## [1] 5</code></pre>
</details>
<p><a href="#Ex1">Back to</a> <a href="#top">top</a></p>
</div>
<div id="Ex3" class="section level1" number="3">
<h1><span class="header-section-number">3</span> Matrix operations</h1>
<p>In <code>R</code>, use just one line of code to create the following
mtrices and assign them to the variables <code>W</code>, and
<code>X</code>, respectively. <span class="math display">\[
W=\begin{pmatrix}
1 & 4 & 7 \\
2 & 5 & 8 \\
3 & 6 & 9
\end{pmatrix};
X = \begin{pmatrix}
1 & 2 & 3 \\
4 & 5 & 6 \\
7 & 8 & 9
\end{pmatrix};
\]</span></p>
<details>
<summary>
<span style="color:blue">Click for answer</span>
</summary>
<div class="sourceCode" id="cb19"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb19-1"><a href="#cb19-1" tabindex="-1"></a>(W <span class="ot"><-</span> <span class="fu">matrix</span>(<span class="at">data =</span> <span class="dv">1</span><span class="sc">:</span><span class="dv">9</span>, <span class="at">nrow =</span> <span class="dv">3</span>, <span class="at">ncol =</span> <span class="dv">3</span>, <span class="at">byrow =</span> <span class="cn">FALSE</span>))</span></code></pre></div>
<pre><code>## [,1] [,2] [,3]
## [1,] 1 4 7
## [2,] 2 5 8
## [3,] 3 6 9</code></pre>
<div class="sourceCode" id="cb21"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb21-1"><a href="#cb21-1" tabindex="-1"></a>(X <span class="ot"><-</span> <span class="fu">matrix</span>(<span class="at">data =</span> <span class="dv">1</span><span class="sc">:</span><span class="dv">9</span>, <span class="at">nrow =</span> <span class="dv">3</span>, <span class="at">ncol =</span> <span class="dv">3</span>, <span class="at">byrow =</span> <span class="cn">TRUE</span>))</span></code></pre></div>
<pre><code>## [,1] [,2] [,3]
## [1,] 1 2 3
## [2,] 4 5 6
## [3,] 7 8 9</code></pre>
</details>
Also, compute <span class="math inline">\(W\odot X\)</span> and <span class="math inline">\(W\cdot X\)</span>, such that <span class="math inline">\(\odot\)</span> represents the element-wise
multiplication and <span class="math inline">\(\cdot\)</span> represents
matrix multiplication.
<details>
<summary>
<span style="color:blue">Click for answer</span>
</summary>
<div class="sourceCode" id="cb23"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb23-1"><a href="#cb23-1" tabindex="-1"></a>W <span class="sc">*</span> X</span></code></pre></div>
<pre><code>## [,1] [,2] [,3]
## [1,] 1 8 21
## [2,] 8 25 48
## [3,] 21 48 81</code></pre>
<div class="sourceCode" id="cb25"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb25-1"><a href="#cb25-1" tabindex="-1"></a>W <span class="sc">%*%</span> X</span></code></pre></div>
<pre><code>## [,1] [,2] [,3]
## [1,] 66 78 90
## [2,] 78 93 108
## [3,] 90 108 126</code></pre>
</details>
<p>Given a matrix Y, where</p>
<div class="sourceCode" id="cb27"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb27-1"><a href="#cb27-1" tabindex="-1"></a> Y <span class="ot"><-</span> <span class="fu">matrix</span>(<span class="fu">c</span>(<span class="dv">2</span>,<span class="dv">3</span>,<span class="dv">1</span>,<span class="dv">4</span>),<span class="at">nrow =</span> <span class="dv">2</span>)</span>
<span id="cb27-2"><a href="#cb27-2" tabindex="-1"></a> Y</span></code></pre></div>
<pre><code>## [,1] [,2]
## [1,] 2 1
## [2,] 3 4</code></pre>
<p>How can you compute the inverse matrix of Y?</p>
<details>
<summary>
<span style="color:blue">Click for answer</span>
</summary>
<div class="sourceCode" id="cb29"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb29-1"><a href="#cb29-1" tabindex="-1"></a><span class="fu">solve</span>(Y)</span></code></pre></div>
<pre><code>## [,1] [,2]
## [1,] 0.8 -0.2
## [2,] -0.6 0.4</code></pre>
</details>
<p><a href="#Ex1">Back to</a> <a href="#top">top</a></p>
</div>
<div id="Ex4" class="section level1" number="4">
<h1><span class="header-section-number">4</span> Matrix and
functions</h1>
<p>Create a matrix <span class="math inline">\(A\in\mathbb
R^{3\times3}\)</span>, such that <span class="math display">\[
a_{ij} = i + j,\quad\forall i,j.
\]</span></p>
<details>
<summary>
<span style="color:blue">Click for answer</span>
</summary>
<div class="sourceCode" id="cb31"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb31-1"><a href="#cb31-1" tabindex="-1"></a>A <span class="ot"><-</span> <span class="fu">matrix</span>(<span class="at">nrow =</span> <span class="dv">3</span>, <span class="at">ncol =</span> <span class="dv">3</span>)</span>
<span id="cb31-2"><a href="#cb31-2" tabindex="-1"></a><span class="cf">for</span>(i <span class="cf">in</span> <span class="dv">1</span><span class="sc">:</span><span class="dv">3</span>) {</span>
<span id="cb31-3"><a href="#cb31-3" tabindex="-1"></a> <span class="cf">for</span>(j <span class="cf">in</span> <span class="dv">1</span><span class="sc">:</span><span class="dv">3</span>) {</span>
<span id="cb31-4"><a href="#cb31-4" tabindex="-1"></a> A[i,j] <span class="ot"><-</span> i <span class="sc">+</span> j</span>
<span id="cb31-5"><a href="#cb31-5" tabindex="-1"></a> }</span>
<span id="cb31-6"><a href="#cb31-6" tabindex="-1"></a>}</span>
<span id="cb31-7"><a href="#cb31-7" tabindex="-1"></a>A</span></code></pre></div>
<pre><code>## [,1] [,2] [,3]
## [1,] 2 3 4
## [2,] 3 4 5
## [3,] 4 5 6</code></pre>
</details>
<p>Also, create <span class="math inline">\(B\in \mathbb
R^{3\times3}\)</span>, such that <span class="math display">\[
b_{ij}=\begin{cases}
\text{TRUE}, & a_{ij} \text{ is even}, \\
\text{FALSE}, &\text{otherwise}.
\end{cases}
\]</span></p>
<details>
<summary>
<span style="color:blue">Click for answer</span>
</summary>
<div class="sourceCode" id="cb33"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb33-1"><a href="#cb33-1" tabindex="-1"></a>fB <span class="ot"><-</span> <span class="cf">function</span>(b) <span class="fu">return</span>(<span class="sc">!</span><span class="fu">as.logical</span>(b <span class="sc">%%</span> <span class="dv">2</span>))</span>
<span id="cb33-2"><a href="#cb33-2" tabindex="-1"></a>(B <span class="ot"><-</span> <span class="fu">matrix</span>(<span class="fu">fB</span>(A), <span class="at">nrow =</span> <span class="dv">3</span>, <span class="at">ncol =</span> <span class="dv">3</span>))</span></code></pre></div>
<pre><code>## [,1] [,2] [,3]
## [1,] TRUE FALSE TRUE
## [2,] FALSE TRUE FALSE
## [3,] TRUE FALSE TRUE</code></pre>
</details>
<ol start="3" style="list-style-type: lower-alpha">
<li>Create <span class="math inline">\(C\in \mathbb
R^{3\times3}\)</span>, such that <span class="math display">\[
c_{ij}=\begin{cases}
1, & a_{ij} \in \{1,2,3\}, \\
0, &\text{otherwise}.
\end{cases}
\]</span></li>
</ol>
<details>
<summary>
<span style="color:blue">Click for answer</span>
</summary>
<div class="sourceCode" id="cb35"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb35-1"><a href="#cb35-1" tabindex="-1"></a>fC <span class="ot"><-</span> <span class="cf">function</span>(c) <span class="fu">return</span>(<span class="fu">as.numeric</span>(c <span class="sc">%in%</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">2</span>,<span class="dv">3</span>)))</span>
<span id="cb35-2"><a href="#cb35-2" tabindex="-1"></a>(C <span class="ot"><-</span> <span class="fu">apply</span>(A, <span class="at">MARGIN =</span> <span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">2</span>), fC))</span></code></pre></div>
<pre><code>## [,1] [,2] [,3]
## [1,] 1 1 0
## [2,] 1 0 0
## [3,] 0 0 0</code></pre>
</details>
<ol start="4" style="list-style-type: lower-alpha">
<li>Confirm the dimensions of the matrix from (a) are <span class="math inline">\(2 × 3\)</span> if you remove any one row.</li>
</ol>
<details>
<summary>
<span style="color:blue">Click for answer</span>
</summary>
<div class="sourceCode" id="cb37"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb37-1"><a href="#cb37-1" tabindex="-1"></a>A_modified <span class="ot"><-</span> A[<span class="sc">-</span><span class="dv">1</span>, ]</span>
<span id="cb37-2"><a href="#cb37-2" tabindex="-1"></a>A_modified</span></code></pre></div>
<pre><code>## [,1] [,2] [,3]
## [1,] 3 4 5
## [2,] 4 5 6</code></pre>
<div class="sourceCode" id="cb39"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb39-1"><a href="#cb39-1" tabindex="-1"></a><span class="fu">dim</span>(A_modified)</span></code></pre></div>
<pre><code>## [1] 2 3</code></pre>
</details>
<p><a href="#Ex1">Back to</a> <a href="#top">top</a></p>
</div>
<div id="Ex5" class="section level1" number="5">
<h1><span class="header-section-number">5</span> Recursive functions
1</h1>
<p>Write a function for computing <span class="math inline">\(f(n)=n!,\
(n\in \mathbb N)\)</span>. Print the 10 first numbers from the sequence
<span class="math inline">\(f\)</span>. Also, for <span class="math inline">\(n=10\)</span>, compare your result with the
<code>gamma()</code> function from <code>R</code> (recall that, for any
positive integer <span class="math inline">\(n\)</span>, <span class="math inline">\(\Gamma(n) = (n-1)!\)</span>).</p>
<details>
<summary>
<span style="color:blue">Click for answer</span>
</summary>
<div class="sourceCode" id="cb41"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb41-1"><a href="#cb41-1" tabindex="-1"></a>factorial <span class="ot"><-</span> <span class="cf">function</span>(n){</span>
<span id="cb41-2"><a href="#cb41-2" tabindex="-1"></a> <span class="cf">if</span>((n <span class="sc">==</span> <span class="dv">0</span>) <span class="sc">||</span> (n <span class="sc">==</span> <span class="dv">1</span>))</span>
<span id="cb41-3"><a href="#cb41-3" tabindex="-1"></a> <span class="fu">return</span>(<span class="dv">1</span>)</span>
<span id="cb41-4"><a href="#cb41-4" tabindex="-1"></a> <span class="cf">else</span></span>
<span id="cb41-5"><a href="#cb41-5" tabindex="-1"></a> <span class="fu">return</span> (n <span class="sc">*</span> <span class="fu">factorial</span>(n<span class="dv">-1</span>))</span>
<span id="cb41-6"><a href="#cb41-6" tabindex="-1"></a>}</span>
<span id="cb41-7"><a href="#cb41-7" tabindex="-1"></a><span class="fu">sapply</span>(<span class="dv">0</span><span class="sc">:</span><span class="dv">9</span>, <span class="at">FUN =</span> factorial)</span></code></pre></div>
<pre><code>## [1] 1 1 2 6 24 120 720 5040 40320 362880</code></pre>
<div class="sourceCode" id="cb43"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb43-1"><a href="#cb43-1" tabindex="-1"></a><span class="fu">cat</span>(<span class="st">"Gamma(10) ="</span>, <span class="fu">gamma</span>(<span class="dv">10</span>), <span class="st">"; 9! ="</span>, <span class="fu">factorial</span>(<span class="dv">9</span>))</span></code></pre></div>
<pre><code>## Gamma(10) = 362880 ; 9! = 362880</code></pre>
</details>
<p><a href="#Ex1">Back to</a> <a href="#top">top</a></p>
</div>
<div id="Ex6" class="section level1" number="6">
<h1><span class="header-section-number">6</span> Graph function</h1>
<p>Use the functions <code>outer</code> y <code>persp</code> to graph
the following functions“) <span class="math display">\[f(x, y) = 1 -
exp(-1 / (x^2 + y^2)), \text{for}\: x, y ∈ [-5, 5]\]</span> <span class="math display">\[f(x, y) = sin(x)cos(y), \text{for}\: x, y ∈
[-\pi/2, \pi/2]\]</span></p>
<details>
<summary>
<span style="color:blue">Click for answer</span>
</summary>
<div class="sourceCode" id="cb45"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb45-1"><a href="#cb45-1" tabindex="-1"></a><span class="co"># Define the range for x and y</span></span>
<span id="cb45-2"><a href="#cb45-2" tabindex="-1"></a>x <span class="ot"><-</span> <span class="fu">seq</span>(<span class="sc">-</span><span class="dv">5</span>, <span class="dv">5</span>, <span class="at">length =</span> <span class="dv">50</span>)</span>
<span id="cb45-3"><a href="#cb45-3" tabindex="-1"></a>y <span class="ot"><-</span> <span class="fu">seq</span>(<span class="sc">-</span><span class="dv">5</span>, <span class="dv">5</span>, <span class="at">length =</span> <span class="dv">50</span>)</span>
<span id="cb45-4"><a href="#cb45-4" tabindex="-1"></a></span>
<span id="cb45-5"><a href="#cb45-5" tabindex="-1"></a><span class="co"># Define the function</span></span>
<span id="cb45-6"><a href="#cb45-6" tabindex="-1"></a>f1 <span class="ot"><-</span> <span class="cf">function</span>(x, y) {</span>
<span id="cb45-7"><a href="#cb45-7" tabindex="-1"></a> <span class="dv">1</span> <span class="sc">-</span> <span class="fu">exp</span>(<span class="sc">-</span><span class="dv">1</span> <span class="sc">/</span> (x<span class="sc">^</span><span class="dv">2</span> <span class="sc">+</span> y<span class="sc">^</span><span class="dv">2</span>))</span>
<span id="cb45-8"><a href="#cb45-8" tabindex="-1"></a>}</span>
<span id="cb45-9"><a href="#cb45-9" tabindex="-1"></a></span>
<span id="cb45-10"><a href="#cb45-10" tabindex="-1"></a><span class="co"># Create a grid using outer</span></span>
<span id="cb45-11"><a href="#cb45-11" tabindex="-1"></a>z1 <span class="ot"><-</span> <span class="fu">outer</span>(x, y, f1)</span>
<span id="cb45-12"><a href="#cb45-12" tabindex="-1"></a></span>
<span id="cb45-13"><a href="#cb45-13" tabindex="-1"></a><span class="co"># Plot using persp</span></span>
<span id="cb45-14"><a href="#cb45-14" tabindex="-1"></a><span class="fu">persp</span>(x, y, z1, <span class="at">col =</span> <span class="st">"salmon2"</span>, </span>
<span id="cb45-15"><a href="#cb45-15" tabindex="-1"></a> <span class="at">xlab =</span> <span class="st">"X"</span>, <span class="at">ylab =</span> <span class="st">"Y"</span>, <span class="at">zlab =</span> <span class="st">"f(x, y)"</span>,</span>
<span id="cb45-16"><a href="#cb45-16" tabindex="-1"></a> <span class="at">main =</span> <span class="st">"Graph of f(x, y) = 1 - exp(-1/(x^2 + y^2))"</span>)</span></code></pre></div>
<p><img role="img" 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" /><!-- --></p>
<div class="sourceCode" id="cb46"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb46-1"><a href="#cb46-1" tabindex="-1"></a><span class="co"># Notice, you can adjust the theta and phi values in persp() if you want a different viewing angle, for example</span></span>
<span id="cb46-2"><a href="#cb46-2" tabindex="-1"></a><span class="fu">persp</span>(x, y, z1, <span class="at">theta =</span> <span class="dv">30</span>, <span class="at">phi =</span> <span class="dv">30</span>,<span class="at">col =</span> <span class="st">"salmon2"</span>, </span>
<span id="cb46-3"><a href="#cb46-3" tabindex="-1"></a> <span class="at">xlab =</span> <span class="st">"X"</span>, <span class="at">ylab =</span> <span class="st">"Y"</span>, <span class="at">zlab =</span> <span class="st">"f(x, y)"</span>,</span>
<span id="cb46-4"><a href="#cb46-4" tabindex="-1"></a> <span class="at">main =</span> <span class="st">"Graph of f(x, y) = 1 - exp(-1/(x^2 + y^2))"</span>)</span></code></pre></div>
<p><img role="img" 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" /><!-- --></p>
</details>
<details>
<summary>
<span style="color:blue">Click for answer</span>
</summary>
<div class="sourceCode" id="cb47"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb47-1"><a href="#cb47-1" tabindex="-1"></a><span class="co"># Define the range for x and y</span></span>
<span id="cb47-2"><a href="#cb47-2" tabindex="-1"></a>x2 <span class="ot"><-</span> <span class="fu">seq</span>(<span class="sc">-</span>pi<span class="sc">/</span><span class="dv">2</span>, pi<span class="sc">/</span><span class="dv">2</span>, <span class="at">length =</span> <span class="dv">100</span>)</span>
<span id="cb47-3"><a href="#cb47-3" tabindex="-1"></a>y2 <span class="ot"><-</span> <span class="fu">seq</span>(<span class="sc">-</span>pi<span class="sc">/</span><span class="dv">2</span>, pi<span class="sc">/</span><span class="dv">2</span>, <span class="at">length =</span> <span class="dv">100</span>)</span>
<span id="cb47-4"><a href="#cb47-4" tabindex="-1"></a></span>
<span id="cb47-5"><a href="#cb47-5" tabindex="-1"></a><span class="co"># Define the function</span></span>
<span id="cb47-6"><a href="#cb47-6" tabindex="-1"></a>f2 <span class="ot"><-</span> <span class="cf">function</span>(x, y) {</span>
<span id="cb47-7"><a href="#cb47-7" tabindex="-1"></a> <span class="fu">sin</span>(x) <span class="sc">*</span> <span class="fu">cos</span>(y)</span>
<span id="cb47-8"><a href="#cb47-8" tabindex="-1"></a>}</span>
<span id="cb47-9"><a href="#cb47-9" tabindex="-1"></a></span>
<span id="cb47-10"><a href="#cb47-10" tabindex="-1"></a><span class="co"># Create a grid using outer</span></span>
<span id="cb47-11"><a href="#cb47-11" tabindex="-1"></a>z2 <span class="ot"><-</span> <span class="fu">outer</span>(x2, y2, f2)</span>
<span id="cb47-12"><a href="#cb47-12" tabindex="-1"></a></span>
<span id="cb47-13"><a href="#cb47-13" tabindex="-1"></a><span class="co"># Plot using persp</span></span>
<span id="cb47-14"><a href="#cb47-14" tabindex="-1"></a><span class="fu">persp</span>(x2, y2, z2, <span class="at">theta =</span> <span class="dv">30</span>, <span class="at">phi =</span> <span class="dv">30</span>, <span class="at">col =</span> <span class="st">"lightgreen"</span>, </span>
<span id="cb47-15"><a href="#cb47-15" tabindex="-1"></a> <span class="at">xlab =</span> <span class="st">"X"</span>, <span class="at">ylab =</span> <span class="st">"Y"</span>, <span class="at">zlab =</span> <span class="st">"f(x, y)"</span>,</span>
<span id="cb47-16"><a href="#cb47-16" tabindex="-1"></a> <span class="at">main =</span> <span class="st">"Graph of f(x, y) = sin(x) * cos(y)"</span>)</span></code></pre></div>
<img role="img" src="data:image/png;base64,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" /><!-- -->
</details>
<p><a href="#Ex1">Back to</a> <a href="#top">top</a></p>
</div>
<div id="Ex7" class="section level1" number="7">
<h1><span class="header-section-number">7</span> Linear regression</h1>
<p>Suppose that we model the height of male teenagers as <span class="math display">\[
\mathrm{height}_i = \beta_0 + \beta_1 \cdot \mathrm{age}_i +
\epsilon_i,\ \text{s.t. } \epsilon_i \sim \mathcal N\left(0,
\sigma^2\right).
\]</span> Now, for a random sample of size <span class="math inline">\(n=20\)</span>, we want to estimate <span class="math inline">\(\boldsymbol \beta =
(\beta_0,\beta_1)^\intercal\)</span> as <span class="math display">\[
\boldsymbol \beta = (X^\intercal X)^{-1} X^{\intercal} \boldsymbol y,
\]</span> where <span class="math display">\[
X = \begin{pmatrix}
1 & \textrm{age}_1 \\
\vdots & \vdots \\
1 & \textrm{age}_{20}
\end{pmatrix},\quad
\boldsymbol y = \begin{pmatrix}
\textrm{height}_1 \\
\vdots\\
\textrm{height}_{20}
\end{pmatrix}.
\]</span> Compute <span class="math inline">\(\hat {\boldsymbol
\beta}\)</span> and plot <span class="math inline">\(\hat {\boldsymbol
y} =X\hat {\boldsymbol \beta}\)</span>. For this exercise, generate the
data set using the following code:</p>
<div class="sourceCode" id="cb48"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb48-1"><a href="#cb48-1" tabindex="-1"></a><span class="fu">set.seed</span>(<span class="dv">999</span>)</span>
<span id="cb48-2"><a href="#cb48-2" tabindex="-1"></a>beta<span class="fl">.0</span> <span class="ot"><-</span> <span class="dv">140</span></span>
<span id="cb48-3"><a href="#cb48-3" tabindex="-1"></a>beta<span class="fl">.1</span> <span class="ot"><-</span> <span class="dv">2</span></span>
<span id="cb48-4"><a href="#cb48-4" tabindex="-1"></a>ages <span class="ot"><-</span> <span class="fu">sample</span>(<span class="at">x =</span> <span class="dv">12</span><span class="sc">:</span><span class="dv">18</span>, <span class="at">size =</span> <span class="dv">20</span>, <span class="at">replace =</span> <span class="cn">TRUE</span>)</span>
<span id="cb48-5"><a href="#cb48-5" tabindex="-1"></a>heights <span class="ot"><-</span> <span class="fu">round</span>(<span class="at">x =</span> beta<span class="fl">.0</span> <span class="sc">+</span> beta<span class="fl">.1</span> <span class="sc">*</span> ages <span class="sc">+</span> <span class="fu">rnorm</span>(<span class="at">n =</span> <span class="dv">10</span>, <span class="at">mean =</span> <span class="dv">0</span>, <span class="at">sd =</span> <span class="dv">2</span>), </span>
<span id="cb48-6"><a href="#cb48-6" tabindex="-1"></a> <span class="at">digits =</span> <span class="dv">2</span>)</span>
<span id="cb48-7"><a href="#cb48-7" tabindex="-1"></a>data <span class="ot"><-</span> <span class="fu">data.frame</span>(<span class="at">heights =</span> heights, <span class="at">ages =</span> ages)</span></code></pre></div>
<details>
<summary>
<span style="color:blue">Click for answer</span>
</summary>
<div class="sourceCode" id="cb49"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb49-1"><a href="#cb49-1" tabindex="-1"></a>X <span class="ot"><-</span> <span class="fu">cbind</span>(<span class="fu">rep</span>(<span class="at">x =</span> <span class="dv">1</span>, <span class="at">times =</span> <span class="dv">20</span>), data<span class="sc">$</span>ages)</span>
<span id="cb49-2"><a href="#cb49-2" tabindex="-1"></a>y <span class="ot"><-</span> <span class="fu">as.matrix</span>(data<span class="sc">$</span>heights)</span>
<span id="cb49-3"><a href="#cb49-3" tabindex="-1"></a>(beta_hat <span class="ot"><-</span> <span class="fu">solve</span>(<span class="fu">t</span>(X) <span class="sc">%*%</span> X) <span class="sc">%*%</span> <span class="fu">t</span>(X) <span class="sc">%*%</span> y)</span></code></pre></div>
<pre><code>## [,1]
## [1,] 143.005951
## [2,] 1.832552</code></pre>
<div class="sourceCode" id="cb51"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb51-1"><a href="#cb51-1" tabindex="-1"></a>y_hat <span class="ot"><-</span> X <span class="sc">%*%</span> beta_hat</span></code></pre></div>
<div class="sourceCode" id="cb52"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb52-1"><a href="#cb52-1" tabindex="-1"></a><span class="fu">plot</span>(<span class="at">x =</span> data<span class="sc">$</span>ages, <span class="at">y =</span> data<span class="sc">$</span>heights, <span class="at">xlab =</span> <span class="st">"Age"</span>, <span class="at">ylab =</span> <span class="st">"Height (cm)"</span>)</span>
<span id="cb52-2"><a href="#cb52-2" tabindex="-1"></a><span class="fu">par</span>(<span class="at">new =</span> <span class="cn">TRUE</span>)</span>
<span id="cb52-3"><a href="#cb52-3" tabindex="-1"></a><span class="fu">plot</span>(<span class="at">x =</span> data<span class="sc">$</span>ages, <span class="at">y =</span> y_hat, <span class="at">type =</span> <span class="st">"b"</span> , <span class="at">col =</span> <span class="st">"red"</span>, <span class="at">axes =</span> <span class="cn">FALSE</span>, <span class="at">xlab =</span> <span class="st">""</span>, <span class="at">ylab =</span> <span class="st">""</span>)</span></code></pre></div>
<p><img role="img" src="data:image/png;base64,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" /><!-- --></p>
<div class="sourceCode" id="cb53"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb53-1"><a href="#cb53-1" tabindex="-1"></a><span class="fu">summary</span>(<span class="fu">lm</span>(heights <span class="sc">~</span> ages, data))</span></code></pre></div>
<pre><code>##
## Call:
## lm(formula = heights ~ ages, data = data)
##
## Residuals:
## Min 1Q Median 3Q Max
## -1.66934 -0.89120 0.01832 0.73273 1.83811
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 143.0060 1.8878 75.75 < 2e-16 ***
## ages 1.8326 0.1223 14.99 1.31e-11 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 1.135 on 18 degrees of freedom
## Multiple R-squared: 0.9258, Adjusted R-squared: 0.9217
## F-statistic: 224.7 on 1 and 18 DF, p-value: 1.306e-11</code></pre>
</details>
<p><a href="#Ex1">Back to</a> <a href="#top">top</a></p>
</div>
<div id="r-markdown-and-r-sweave" class="section level1" number="8">
<h1><span class="header-section-number">8</span> <code>R Markdown</code>
and <code>R Sweave</code></h1>
<ul>
<li>Very elegent and powerful tools to use with
<code>Rstudio</code>.</li>
<li>Work very well for homework, reports, presentations, etc.</li>
<li><code>R Markdown</code> is mainly for generating <code>.html</code>
files though it can also generate <code>.pdf</code> files and many more
(this file is generated by <code>R Markdown</code>).</li>
<li><code>R Sweave</code> is like <span class="math inline">\(\LaTeX\)</span> but with <code>R</code> chunks
within. It generates standard <code>.pdf</code> files.</li>
</ul>
</div>
<div id="a-fun-exercise-if-you-would-like-to-try" class="section level1" number="9">
<h1><span class="header-section-number">9</span> A fun exercise if you
would like to try</h1>
<div id="recursive-functions" class="section level2" number="9.1">
<h2><span class="header-section-number">9.1</span> Recursive
functions</h2>
Create 3 <code>N</code>-element row vectors <code>p</code>,
<code>q</code>, and <code>r</code>: <span class="math display">\[
\begin{cases}
\mathtt{p}: &\text{prime number sequence},\\
\mathtt{q}: &\text{Fibonacci sequence},\\
\mathtt{r}: &r_n=\lfloor\sqrt{n\pi}\rfloor.
\end{cases}
\]</span> Do NOT compute the terms manually (write functions!).
<details>
<summary>
<span style="color:blue">Click for answer</span>
</summary>
<div class="sourceCode" id="cb55"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb55-1"><a href="#cb55-1" tabindex="-1"></a>prime_seq <span class="ot"><-</span> <span class="cf">function</span>(n, <span class="at">i =</span> <span class="dv">1</span>, <span class="at">primes =</span> <span class="fu">c</span>()){</span>
<span id="cb55-2"><a href="#cb55-2" tabindex="-1"></a> <span class="cf">if</span>(<span class="fu">length</span>(primes) <span class="sc"><</span> n) {</span>
<span id="cb55-3"><a href="#cb55-3" tabindex="-1"></a> <span class="cf">if</span> (i <span class="sc">==</span> <span class="dv">2</span> <span class="sc">||</span> <span class="fu">sum</span>(<span class="fu">as.numeric</span>(i <span class="sc">%%</span> (<span class="dv">1</span><span class="sc">:</span>i) <span class="sc">==</span> <span class="dv">0</span>)) <span class="sc">==</span> <span class="dv">2</span>){</span>
<span id="cb55-4"><a href="#cb55-4" tabindex="-1"></a> <span class="fu">prime_seq</span>(<span class="at">n =</span> n, <span class="at">i =</span> i <span class="sc">+</span> <span class="dv">1</span>, <span class="at">primes =</span> <span class="fu">c</span>(primes, i))</span>
<span id="cb55-5"><a href="#cb55-5" tabindex="-1"></a> }<span class="cf">else</span>{</span>
<span id="cb55-6"><a href="#cb55-6" tabindex="-1"></a> <span class="fu">prime_seq</span>(<span class="at">n =</span> n, <span class="at">i =</span> i <span class="sc">+</span> <span class="dv">1</span>, <span class="at">primes =</span> primes)</span>
<span id="cb55-7"><a href="#cb55-7" tabindex="-1"></a> }</span>
<span id="cb55-8"><a href="#cb55-8" tabindex="-1"></a> }<span class="cf">else</span>{</span>
<span id="cb55-9"><a href="#cb55-9" tabindex="-1"></a> <span class="fu">return</span>(primes)</span>
<span id="cb55-10"><a href="#cb55-10" tabindex="-1"></a> }</span>
<span id="cb55-11"><a href="#cb55-11" tabindex="-1"></a>}</span>
<span id="cb55-12"><a href="#cb55-12" tabindex="-1"></a></span>
<span id="cb55-13"><a href="#cb55-13" tabindex="-1"></a>fibonacci_seq <span class="ot"><-</span> <span class="cf">function</span> (n){</span>
<span id="cb55-14"><a href="#cb55-14" tabindex="-1"></a> fib <span class="ot">=</span> <span class="fu">c</span>()</span>
<span id="cb55-15"><a href="#cb55-15" tabindex="-1"></a> <span class="cf">for</span> (i <span class="cf">in</span> <span class="dv">1</span><span class="sc">:</span>n){</span>
<span id="cb55-16"><a href="#cb55-16" tabindex="-1"></a> <span class="cf">if</span> (i <span class="sc">==</span> <span class="dv">1</span>){</span>
<span id="cb55-17"><a href="#cb55-17" tabindex="-1"></a> fib <span class="ot"><-</span> <span class="fu">c</span>(fib, <span class="dv">0</span>)</span>
<span id="cb55-18"><a href="#cb55-18" tabindex="-1"></a> }<span class="cf">else</span> <span class="cf">if</span>(i <span class="sc">==</span> <span class="dv">2</span>){</span>
<span id="cb55-19"><a href="#cb55-19" tabindex="-1"></a> fib <span class="ot"><-</span> <span class="fu">c</span>(fib, <span class="dv">1</span>)</span>
<span id="cb55-20"><a href="#cb55-20" tabindex="-1"></a> }<span class="cf">else</span>{</span>
<span id="cb55-21"><a href="#cb55-21" tabindex="-1"></a> fib <span class="ot"><-</span> <span class="fu">c</span>(fib, fib[i <span class="sc">-</span> <span class="dv">1</span>] <span class="sc">+</span> fib[i <span class="sc">-</span> <span class="dv">2</span>])</span>
<span id="cb55-22"><a href="#cb55-22" tabindex="-1"></a> }</span>
<span id="cb55-23"><a href="#cb55-23" tabindex="-1"></a> }</span>
<span id="cb55-24"><a href="#cb55-24" tabindex="-1"></a> <span class="fu">return</span>(fib)</span>
<span id="cb55-25"><a href="#cb55-25" tabindex="-1"></a>}</span>
<span id="cb55-26"><a href="#cb55-26" tabindex="-1"></a>r_seq <span class="ot"><-</span> <span class="cf">function</span>(n) <span class="fu">return</span>(<span class="fu">floor</span>(<span class="fu">sqrt</span>((<span class="dv">1</span><span class="sc">:</span>n) <span class="sc">*</span> pi)))</span>
<span id="cb55-27"><a href="#cb55-27" tabindex="-1"></a></span>
<span id="cb55-28"><a href="#cb55-28" tabindex="-1"></a>N <span class="ot"><-</span> <span class="dv">5</span></span>
<span id="cb55-29"><a href="#cb55-29" tabindex="-1"></a>(p <span class="ot"><-</span> <span class="fu">prime_seq</span>(<span class="at">n =</span> N))</span></code></pre></div>
<pre><code>## [1] 2 3 5 7 11</code></pre>
<div class="sourceCode" id="cb57"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb57-1"><a href="#cb57-1" tabindex="-1"></a>(q <span class="ot"><-</span> <span class="fu">fibonacci_seq</span>(<span class="at">n =</span> N))</span></code></pre></div>
<pre><code>## [1] 0 1 1 2 3</code></pre>
<div class="sourceCode" id="cb59"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb59-1"><a href="#cb59-1" tabindex="-1"></a>(r <span class="ot"><-</span> <span class="fu">r_seq</span>(N))</span></code></pre></div>
<pre><code>## [1] 1 2 3 3 3</code></pre>
</details>
Also, create matrices: <span class="math display">\[
A=\begin{pmatrix}
\mathtt p \\ \mathtt q \\ \mathtt r
\end{pmatrix},
B=\begin{pmatrix}
\mathtt p^\intercal & \mathtt q^\intercal & \mathtt r^\intercal
\end{pmatrix}
\]</span>
<details>
<summary>
<span style="color:blue">Click for answer</span>
</summary>
<div class="sourceCode" id="cb61"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb61-1"><a href="#cb61-1" tabindex="-1"></a>(A <span class="ot"><-</span> <span class="fu">rbind</span>(p, q, r))</span></code></pre></div>
<pre><code>## [,1] [,2] [,3] [,4] [,5]
## p 2 3 5 7 11
## q 0 1 1 2 3
## r 1 2 3 3 3</code></pre>
<div class="sourceCode" id="cb63"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb63-1"><a href="#cb63-1" tabindex="-1"></a>(B <span class="ot"><-</span> <span class="fu">cbind</span>(p, q, r))</span></code></pre></div>
<pre><code>## p q r
## [1,] 2 0 1
## [2,] 3 1 2
## [3,] 5 1 3
## [4,] 7 2 3
## [5,] 11 3 3</code></pre>
</details>
<p><a href="#Ex1">Back to</a> <a href="#top">top</a></p>
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