Regresión_lineal_examen.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [],
   "source": [
    "dat <- read.csv(\"exam_dat.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 134 × 3</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>X</th><th scope=col>marks</th><th scope=col>times</th></tr>\n",
       "\t<tr><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td> 1</td><td>49</td><td>2860</td></tr>\n",
       "\t<tr><td> 2</td><td>49</td><td>2063</td></tr>\n",
       "\t<tr><td> 3</td><td>70</td><td>2013</td></tr>\n",
       "\t<tr><td> 4</td><td>55</td><td>2000</td></tr>\n",
       "\t<tr><td> 5</td><td>52</td><td>1420</td></tr>\n",
       "\t<tr><td> 6</td><td>55</td><td>1934</td></tr>\n",
       "\t<tr><td> 7</td><td>61</td><td>1519</td></tr>\n",
       "\t<tr><td> 8</td><td>65</td><td>2735</td></tr>\n",
       "\t<tr><td> 9</td><td>57</td><td>2329</td></tr>\n",
       "\t<tr><td>10</td><td>71</td><td>1590</td></tr>\n",
       "\t<tr><td>11</td><td>49</td><td>1699</td></tr>\n",
       "\t<tr><td>12</td><td>48</td><td>1816</td></tr>\n",
       "\t<tr><td>13</td><td>49</td><td>1824</td></tr>\n",
       "\t<tr><td>14</td><td>69</td><td>1899</td></tr>\n",
       "\t<tr><td>15</td><td>44</td><td>1714</td></tr>\n",
       "\t<tr><td>16</td><td>53</td><td>1741</td></tr>\n",
       "\t<tr><td>17</td><td>49</td><td>1968</td></tr>\n",
       "\t<tr><td>18</td><td>52</td><td>1721</td></tr>\n",
       "\t<tr><td>19</td><td>53</td><td>2120</td></tr>\n",
       "\t<tr><td>20</td><td>36</td><td>1435</td></tr>\n",
       "\t<tr><td>21</td><td>61</td><td>1909</td></tr>\n",
       "\t<tr><td>22</td><td>68</td><td>1707</td></tr>\n",
       "\t<tr><td>23</td><td>67</td><td>1431</td></tr>\n",
       "\t<tr><td>24</td><td>53</td><td>2024</td></tr>\n",
       "\t<tr><td>25</td><td>33</td><td>1725</td></tr>\n",
       "\t<tr><td>26</td><td>64</td><td>1634</td></tr>\n",
       "\t<tr><td>27</td><td>57</td><td>1949</td></tr>\n",
       "\t<tr><td>28</td><td>56</td><td>1278</td></tr>\n",
       "\t<tr><td>29</td><td>41</td><td>1677</td></tr>\n",
       "\t<tr><td>30</td><td>40</td><td>1945</td></tr>\n",
       "\t<tr><td>⋮</td><td>⋮</td><td>⋮</td></tr>\n",
       "\t<tr><td>105</td><td>56</td><td>1704</td></tr>\n",
       "\t<tr><td>106</td><td>54</td><td>1510</td></tr>\n",
       "\t<tr><td>107</td><td>61</td><td>3000</td></tr>\n",
       "\t<tr><td>108</td><td>58</td><td>1758</td></tr>\n",
       "\t<tr><td>109</td><td>46</td><td>1604</td></tr>\n",
       "\t<tr><td>110</td><td>62</td><td>1475</td></tr>\n",
       "\t<tr><td>111</td><td>68</td><td>1106</td></tr>\n",
       "\t<tr><td>112</td><td>58</td><td>2040</td></tr>\n",
       "\t<tr><td>113</td><td>47</td><td>1594</td></tr>\n",
       "\t<tr><td>114</td><td>66</td><td>1215</td></tr>\n",
       "\t<tr><td>115</td><td>61</td><td>1418</td></tr>\n",
       "\t<tr><td>116</td><td>58</td><td>1828</td></tr>\n",
       "\t<tr><td>117</td><td>45</td><td>2305</td></tr>\n",
       "\t<tr><td>118</td><td>55</td><td>1902</td></tr>\n",
       "\t<tr><td>119</td><td>54</td><td>2013</td></tr>\n",
       "\t<tr><td>120</td><td>54</td><td>2026</td></tr>\n",
       "\t<tr><td>121</td><td>54</td><td>1875</td></tr>\n",
       "\t<tr><td>122</td><td>41</td><td>2227</td></tr>\n",
       "\t<tr><td>123</td><td>65</td><td>2325</td></tr>\n",
       "\t<tr><td>124</td><td>66</td><td>1674</td></tr>\n",
       "\t<tr><td>125</td><td>38</td><td>2435</td></tr>\n",
       "\t<tr><td>126</td><td>51</td><td>2715</td></tr>\n",
       "\t<tr><td>127</td><td>49</td><td>1773</td></tr>\n",
       "\t<tr><td>128</td><td>49</td><td>1656</td></tr>\n",
       "\t<tr><td>129</td><td>51</td><td>2320</td></tr>\n",
       "\t<tr><td>130</td><td>42</td><td>1908</td></tr>\n",
       "\t<tr><td>131</td><td>61</td><td>1853</td></tr>\n",
       "\t<tr><td>132</td><td>69</td><td>1302</td></tr>\n",
       "\t<tr><td>133</td><td>42</td><td>2161</td></tr>\n",
       "\t<tr><td>134</td><td>53</td><td>1715</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 134 × 3\n",
       "\\begin{tabular}{lll}\n",
       " X & marks & times\\\\\n",
       " <int> & <int> & <int>\\\\\n",
       "\\hline\n",
       "\t  1 & 49 & 2860\\\\\n",
       "\t  2 & 49 & 2063\\\\\n",
       "\t  3 & 70 & 2013\\\\\n",
       "\t  4 & 55 & 2000\\\\\n",
       "\t  5 & 52 & 1420\\\\\n",
       "\t  6 & 55 & 1934\\\\\n",
       "\t  7 & 61 & 1519\\\\\n",
       "\t  8 & 65 & 2735\\\\\n",
       "\t  9 & 57 & 2329\\\\\n",
       "\t 10 & 71 & 1590\\\\\n",
       "\t 11 & 49 & 1699\\\\\n",
       "\t 12 & 48 & 1816\\\\\n",
       "\t 13 & 49 & 1824\\\\\n",
       "\t 14 & 69 & 1899\\\\\n",
       "\t 15 & 44 & 1714\\\\\n",
       "\t 16 & 53 & 1741\\\\\n",
       "\t 17 & 49 & 1968\\\\\n",
       "\t 18 & 52 & 1721\\\\\n",
       "\t 19 & 53 & 2120\\\\\n",
       "\t 20 & 36 & 1435\\\\\n",
       "\t 21 & 61 & 1909\\\\\n",
       "\t 22 & 68 & 1707\\\\\n",
       "\t 23 & 67 & 1431\\\\\n",
       "\t 24 & 53 & 2024\\\\\n",
       "\t 25 & 33 & 1725\\\\\n",
       "\t 26 & 64 & 1634\\\\\n",
       "\t 27 & 57 & 1949\\\\\n",
       "\t 28 & 56 & 1278\\\\\n",
       "\t 29 & 41 & 1677\\\\\n",
       "\t 30 & 40 & 1945\\\\\n",
       "\t ⋮ & ⋮ & ⋮\\\\\n",
       "\t 105 & 56 & 1704\\\\\n",
       "\t 106 & 54 & 1510\\\\\n",
       "\t 107 & 61 & 3000\\\\\n",
       "\t 108 & 58 & 1758\\\\\n",
       "\t 109 & 46 & 1604\\\\\n",
       "\t 110 & 62 & 1475\\\\\n",
       "\t 111 & 68 & 1106\\\\\n",
       "\t 112 & 58 & 2040\\\\\n",
       "\t 113 & 47 & 1594\\\\\n",
       "\t 114 & 66 & 1215\\\\\n",
       "\t 115 & 61 & 1418\\\\\n",
       "\t 116 & 58 & 1828\\\\\n",
       "\t 117 & 45 & 2305\\\\\n",
       "\t 118 & 55 & 1902\\\\\n",
       "\t 119 & 54 & 2013\\\\\n",
       "\t 120 & 54 & 2026\\\\\n",
       "\t 121 & 54 & 1875\\\\\n",
       "\t 122 & 41 & 2227\\\\\n",
       "\t 123 & 65 & 2325\\\\\n",
       "\t 124 & 66 & 1674\\\\\n",
       "\t 125 & 38 & 2435\\\\\n",
       "\t 126 & 51 & 2715\\\\\n",
       "\t 127 & 49 & 1773\\\\\n",
       "\t 128 & 49 & 1656\\\\\n",
       "\t 129 & 51 & 2320\\\\\n",
       "\t 130 & 42 & 1908\\\\\n",
       "\t 131 & 61 & 1853\\\\\n",
       "\t 132 & 69 & 1302\\\\\n",
       "\t 133 & 42 & 2161\\\\\n",
       "\t 134 & 53 & 1715\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 134 × 3\n",
       "\n",
       "| X &lt;int&gt; | marks &lt;int&gt; | times &lt;int&gt; |\n",
       "|---|---|---|\n",
       "|  1 | 49 | 2860 |\n",
       "|  2 | 49 | 2063 |\n",
       "|  3 | 70 | 2013 |\n",
       "|  4 | 55 | 2000 |\n",
       "|  5 | 52 | 1420 |\n",
       "|  6 | 55 | 1934 |\n",
       "|  7 | 61 | 1519 |\n",
       "|  8 | 65 | 2735 |\n",
       "|  9 | 57 | 2329 |\n",
       "| 10 | 71 | 1590 |\n",
       "| 11 | 49 | 1699 |\n",
       "| 12 | 48 | 1816 |\n",
       "| 13 | 49 | 1824 |\n",
       "| 14 | 69 | 1899 |\n",
       "| 15 | 44 | 1714 |\n",
       "| 16 | 53 | 1741 |\n",
       "| 17 | 49 | 1968 |\n",
       "| 18 | 52 | 1721 |\n",
       "| 19 | 53 | 2120 |\n",
       "| 20 | 36 | 1435 |\n",
       "| 21 | 61 | 1909 |\n",
       "| 22 | 68 | 1707 |\n",
       "| 23 | 67 | 1431 |\n",
       "| 24 | 53 | 2024 |\n",
       "| 25 | 33 | 1725 |\n",
       "| 26 | 64 | 1634 |\n",
       "| 27 | 57 | 1949 |\n",
       "| 28 | 56 | 1278 |\n",
       "| 29 | 41 | 1677 |\n",
       "| 30 | 40 | 1945 |\n",
       "| ⋮ | ⋮ | ⋮ |\n",
       "| 105 | 56 | 1704 |\n",
       "| 106 | 54 | 1510 |\n",
       "| 107 | 61 | 3000 |\n",
       "| 108 | 58 | 1758 |\n",
       "| 109 | 46 | 1604 |\n",
       "| 110 | 62 | 1475 |\n",
       "| 111 | 68 | 1106 |\n",
       "| 112 | 58 | 2040 |\n",
       "| 113 | 47 | 1594 |\n",
       "| 114 | 66 | 1215 |\n",
       "| 115 | 61 | 1418 |\n",
       "| 116 | 58 | 1828 |\n",
       "| 117 | 45 | 2305 |\n",
       "| 118 | 55 | 1902 |\n",
       "| 119 | 54 | 2013 |\n",
       "| 120 | 54 | 2026 |\n",
       "| 121 | 54 | 1875 |\n",
       "| 122 | 41 | 2227 |\n",
       "| 123 | 65 | 2325 |\n",
       "| 124 | 66 | 1674 |\n",
       "| 125 | 38 | 2435 |\n",
       "| 126 | 51 | 2715 |\n",
       "| 127 | 49 | 1773 |\n",
       "| 128 | 49 | 1656 |\n",
       "| 129 | 51 | 2320 |\n",
       "| 130 | 42 | 1908 |\n",
       "| 131 | 61 | 1853 |\n",
       "| 132 | 69 | 1302 |\n",
       "| 133 | 42 | 2161 |\n",
       "| 134 | 53 | 1715 |\n",
       "\n"
      ],
      "text/plain": [
       "    X   marks times\n",
       "1    1  49    2860 \n",
       "2    2  49    2063 \n",
       "3    3  70    2013 \n",
       "4    4  55    2000 \n",
       "5    5  52    1420 \n",
       "6    6  55    1934 \n",
       "7    7  61    1519 \n",
       "8    8  65    2735 \n",
       "9    9  57    2329 \n",
       "10  10  71    1590 \n",
       "11  11  49    1699 \n",
       "12  12  48    1816 \n",
       "13  13  49    1824 \n",
       "14  14  69    1899 \n",
       "15  15  44    1714 \n",
       "16  16  53    1741 \n",
       "17  17  49    1968 \n",
       "18  18  52    1721 \n",
       "19  19  53    2120 \n",
       "20  20  36    1435 \n",
       "21  21  61    1909 \n",
       "22  22  68    1707 \n",
       "23  23  67    1431 \n",
       "24  24  53    2024 \n",
       "25  25  33    1725 \n",
       "26  26  64    1634 \n",
       "27  27  57    1949 \n",
       "28  28  56    1278 \n",
       "29  29  41    1677 \n",
       "30  30  40    1945 \n",
       "⋮   ⋮   ⋮     ⋮    \n",
       "105 105 56    1704 \n",
       "106 106 54    1510 \n",
       "107 107 61    3000 \n",
       "108 108 58    1758 \n",
       "109 109 46    1604 \n",
       "110 110 62    1475 \n",
       "111 111 68    1106 \n",
       "112 112 58    2040 \n",
       "113 113 47    1594 \n",
       "114 114 66    1215 \n",
       "115 115 61    1418 \n",
       "116 116 58    1828 \n",
       "117 117 45    2305 \n",
       "118 118 55    1902 \n",
       "119 119 54    2013 \n",
       "120 120 54    2026 \n",
       "121 121 54    1875 \n",
       "122 122 41    2227 \n",
       "123 123 65    2325 \n",
       "124 124 66    1674 \n",
       "125 125 38    2435 \n",
       "126 126 51    2715 \n",
       "127 127 49    1773 \n",
       "128 128 49    1656 \n",
       "129 129 51    2320 \n",
       "130 130 42    1908 \n",
       "131 131 61    1853 \n",
       "132 132 69    1302 \n",
       "133 133 42    2161 \n",
       "134 134 53    1715 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "dat$X <- NULL"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 6 × 2</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>marks</th><th scope=col>times</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>49</td><td>2860</td></tr>\n",
       "\t<tr><th scope=row>2</th><td>49</td><td>2063</td></tr>\n",
       "\t<tr><th scope=row>3</th><td>70</td><td>2013</td></tr>\n",
       "\t<tr><th scope=row>4</th><td>55</td><td>2000</td></tr>\n",
       "\t<tr><th scope=row>5</th><td>52</td><td>1420</td></tr>\n",
       "\t<tr><th scope=row>6</th><td>55</td><td>1934</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 2\n",
       "\\begin{tabular}{r|ll}\n",
       "  & marks & times\\\\\n",
       "  & <int> & <int>\\\\\n",
       "\\hline\n",
       "\t1 & 49 & 2860\\\\\n",
       "\t2 & 49 & 2063\\\\\n",
       "\t3 & 70 & 2013\\\\\n",
       "\t4 & 55 & 2000\\\\\n",
       "\t5 & 52 & 1420\\\\\n",
       "\t6 & 55 & 1934\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 2\n",
       "\n",
       "| <!--/--> | marks &lt;int&gt; | times &lt;int&gt; |\n",
       "|---|---|---|\n",
       "| 1 | 49 | 2860 |\n",
       "| 2 | 49 | 2063 |\n",
       "| 3 | 70 | 2013 |\n",
       "| 4 | 55 | 2000 |\n",
       "| 5 | 52 | 1420 |\n",
       "| 6 | 55 | 1934 |\n",
       "\n"
      ],
      "text/plain": [
       "  marks times\n",
       "1 49    2860 \n",
       "2 49    2063 \n",
       "3 70    2013 \n",
       "4 55    2000 \n",
       "5 52    1420 \n",
       "6 55    1934 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(dat)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] \"En este caso, nuestra característica es el tiempo y la etiqueta es la calificación\"\n"
     ]
    }
   ],
   "source": [
    "print(\"En este caso, nuestra característica es el tiempo y la etiqueta es la calificación\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "1823.79850746269"
      ],
      "text/latex": [
       "1823.79850746269"
      ],
      "text/markdown": [
       "1823.79850746269"
      ],
      "text/plain": [
       "[1] 1823.799"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Promedio de tiempo\n",
    "mean(dat$times)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "1068"
      ],
      "text/latex": [
       "1068"
      ],
      "text/markdown": [
       "1068"
      ],
      "text/plain": [
       "[1] 1068"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "min(dat$times)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "3813"
      ],
      "text/latex": [
       "3813"
      ],
      "text/markdown": [
       "3813"
      ],
      "text/plain": [
       "[1] 3813"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "max(dat$times)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. \n",
       "   1068    1512    1756    1824    2013    3813 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Resumen estadístico de la variable tiempo\n",
    "summary(dat$times)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. \n",
       "  28.00   48.25   55.00   54.53   62.00   73.00 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Resumen estadístico de la variable calificación\n",
    "summary(dat$marks)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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rhnb1vt0y+Aul1P7O1zYbcy0+mrIA/t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\nCCCAAAIIIIAAAghULfBfoHKqPnwCFrcAAAAASUVORK5CYII=",
      "text/plain": [
       "Plot with title “Histogram of dat$times”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Histograma de frecuencia en la variable tiempos\n",
    "hist(dat$times)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1Z9/MukXnuynZUVjcHHM//EpL6DVG2X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\nECBAgAABAgQIECBAgAABAgQ2IfBvc+xmXNxALbQAAAAASUVORK5CYII=",
      "text/plain": [
       "Plot with title “Histogram of dat$marks”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Histograma de frencuencia en la variable calificación\n",
    "hist(dat$marks)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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EpAgdSVrP0SIECAAAECBAgQIDA4AQXS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\nAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Boxplot que representa la distribución de la variable tiempo, con 4 datos atípicos que salen de los datos normales\n",
    "boxplot(dat$time)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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j4BAgQIECBAgAABAusT0CCtz9KZCBAg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\nAQIECBAYTuD/AmS5IWuI+uucAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Este boxplot demuestra que los datos de esta variable son normales y no hay datos atípicos\n",
    "boxplot(dat$marks)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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zTgBvDyEpgAgTVJk7djS5ek3Y24G0ri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\nKKMVCgIIIIAAAgggg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      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Gráfica de dispersión\n",
    "#Scatter plot\n",
    "#dat$time = característica y dat$marks es la etiqueta\n",
    "\n",
    "plot(dat$time,dat$marks, xlab =\"Time\", ylab=\"Marks\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "-0.0571381306624663"
      ],
      "text/latex": [
       "-0.0571381306624663"
      ],
      "text/markdown": [
       "-0.0571381306624663"
      ],
      "text/plain": [
       "[1] -0.05713813"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Correlación entre dos variables\n",
    "#Si es muy cercano a uno, hay mucha correlación.\n",
    "#Si es cercano a cero, las variables son independientes.\n",
    "#Si la correlación es negativa, hay una relación linal pero cuando una crece, la otra decrece.\n",
    "cor(dat$time, dat$marks)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = times ~ marks, data = dat)\n",
       "\n",
       "Residuals:\n",
       "    Min      1Q  Median      3Q     Max \n",
       "-735.61 -297.65  -73.07  199.59 1968.85 \n",
       "\n",
       "Coefficients:\n",
       "            Estimate Std. Error t value Pr(>|t|)    \n",
       "(Intercept) 1971.154    227.675   8.658 1.46e-14 ***\n",
       "marks         -2.702      4.110  -0.658    0.512    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 465.1 on 132 degrees of freedom\n",
       "Multiple R-squared:  0.003265,\tAdjusted R-squared:  -0.004286 \n",
       "F-statistic: 0.4324 on 1 and 132 DF,  p-value: 0.512\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Linear model\n",
    "r <- lm(times ~ marks, data = dat)\n",
    "\n",
    "#Resumen estadístico\n",
    "summary(r)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "#Al intentar obtener el modelo lineal, mandaba error pues \"dat\" no es una matrix de datos\n",
    "matrix <- data.matrix(dat)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A matrix: 6 × 2 of type int</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>marks</th><th scope=col>times</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>49</td><td>2860</td></tr>\n",
       "\t<tr><td>49</td><td>2063</td></tr>\n",
       "\t<tr><td>70</td><td>2013</td></tr>\n",
       "\t<tr><td>55</td><td>2000</td></tr>\n",
       "\t<tr><td>52</td><td>1420</td></tr>\n",
       "\t<tr><td>55</td><td>1934</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A matrix: 6 × 2 of type int\n",
       "\\begin{tabular}{ll}\n",
       " marks & times\\\\\n",
       "\\hline\n",
       "\t 49 & 2860\\\\\n",
       "\t 49 & 2063\\\\\n",
       "\t 70 & 2013\\\\\n",
       "\t 55 & 2000\\\\\n",
       "\t 52 & 1420\\\\\n",
       "\t 55 & 1934\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A matrix: 6 × 2 of type int\n",
       "\n",
       "| marks | times |\n",
       "|---|---|\n",
       "| 49 | 2860 |\n",
       "| 49 | 2063 |\n",
       "| 70 | 2013 |\n",
       "| 55 | 2000 |\n",
       "| 52 | 1420 |\n",
       "| 55 | 1934 |\n",
       "\n"
      ],
      "text/plain": [
       "     marks times\n",
       "[1,] 49    2860 \n",
       "[2,] 49    2063 \n",
       "[3,] 70    2013 \n",
       "[4,] 55    2000 \n",
       "[5,] 52    1420 \n",
       "[6,] 55    1934 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(matrix)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>\n",
       ".list-inline {list-style: none; margin:0; padding: 0}\n",
       ".list-inline>li {display: inline-block}\n",
       ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
       "</style>\n",
       "<ol class=list-inline><li>2860</li><li>2063</li><li>2013</li><li>2000</li><li>1420</li><li>1934</li><li>1519</li><li>2735</li><li>2329</li><li>1590</li><li>1699</li><li>1816</li><li>1824</li><li>1899</li><li>1714</li><li>1741</li><li>1968</li><li>1721</li><li>2120</li><li>1435</li><li>1909</li><li>1707</li><li>1431</li><li>2024</li><li>1725</li><li>1634</li><li>1949</li><li>1278</li><li>1677</li><li>1945</li><li>1754</li><li>1200</li><li>1307</li><li>1895</li><li>1798</li><li>1375</li><li>2665</li><li>1743</li><li>1722</li><li>2562</li><li>2277</li><li>1579</li><li>1785</li><li>1068</li><li>1411</li><li>1162</li><li>1646</li><li>1489</li><li>1769</li><li>1550</li><li>1313</li><li>2472</li><li>2036</li><li>1914</li><li>1910</li><li>2730</li><li>2235</li><li>1993</li><li>1613</li><li>1532</li><li>2339</li><li>2109</li><li>1649</li><li>2238</li><li>1733</li><li>1981</li><li>1440</li><li>1482</li><li>1758</li><li>2540</li><li>1637</li><li>1779</li><li>1069</li><li>1929</li><li>2605</li><li>1491</li><li>1321</li><li>1326</li><li>1797</li><li>1158</li><li>1595</li><li>2105</li><li>1496</li><li>1301</li><li>2467</li><li>1265</li><li>3813</li><li>1216</li><li>1167</li><li>1767</li><li>1683</li><li>1648</li><li>1144</li><li>1162</li><li>1460</li><li>1726</li><li>1862</li><li>3284</li><li>1683</li><li>1654</li><li>2725</li><li>1992</li><li>1332</li><li>1840</li><li>1704</li><li>1510</li><li>3000</li><li>1758</li><li>1604</li><li>1475</li><li>1106</li><li>2040</li><li>1594</li><li>1215</li><li>1418</li><li>1828</li><li>2305</li><li>1902</li><li>2013</li><li>2026</li><li>1875</li><li>2227</li><li>2325</li><li>1674</li><li>2435</li><li>2715</li><li>1773</li><li>1656</li><li>2320</li><li>1908</li><li>1853</li><li>1302</li><li>2161</li><li>1715</li></ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 2860\n",
       "\\item 2063\n",
       "\\item 2013\n",
       "\\item 2000\n",
       "\\item 1420\n",
       "\\item 1934\n",
       "\\item 1519\n",
       "\\item 2735\n",
       "\\item 2329\n",
       "\\item 1590\n",
       "\\item 1699\n",
       "\\item 1816\n",
       "\\item 1824\n",
       "\\item 1899\n",
       "\\item 1714\n",
       "\\item 1741\n",
       "\\item 1968\n",
       "\\item 1721\n",
       "\\item 2120\n",
       "\\item 1435\n",
       "\\item 1909\n",
       "\\item 1707\n",
       "\\item 1431\n",
       "\\item 2024\n",
       "\\item 1725\n",
       "\\item 1634\n",
       "\\item 1949\n",
       "\\item 1278\n",
       "\\item 1677\n",
       "\\item 1945\n",
       "\\item 1754\n",
       "\\item 1200\n",
       "\\item 1307\n",
       "\\item 1895\n",
       "\\item 1798\n",
       "\\item 1375\n",
       "\\item 2665\n",
       "\\item 1743\n",
       "\\item 1722\n",
       "\\item 2562\n",
       "\\item 2277\n",
       "\\item 1579\n",
       "\\item 1785\n",
       "\\item 1068\n",
       "\\item 1411\n",
       "\\item 1162\n",
       "\\item 1646\n",
       "\\item 1489\n",
       "\\item 1769\n",
       "\\item 1550\n",
       "\\item 1313\n",
       "\\item 2472\n",
       "\\item 2036\n",
       "\\item 1914\n",
       "\\item 1910\n",
       "\\item 2730\n",
       "\\item 2235\n",
       "\\item 1993\n",
       "\\item 1613\n",
       "\\item 1532\n",
       "\\item 2339\n",
       "\\item 2109\n",
       "\\item 1649\n",
       "\\item 2238\n",
       "\\item 1733\n",
       "\\item 1981\n",
       "\\item 1440\n",
       "\\item 1482\n",
       "\\item 1758\n",
       "\\item 2540\n",
       "\\item 1637\n",
       "\\item 1779\n",
       "\\item 1069\n",
       "\\item 1929\n",
       "\\item 2605\n",
       "\\item 1491\n",
       "\\item 1321\n",
       "\\item 1326\n",
       "\\item 1797\n",
       "\\item 1158\n",
       "\\item 1595\n",
       "\\item 2105\n",
       "\\item 1496\n",
       "\\item 1301\n",
       "\\item 2467\n",
       "\\item 1265\n",
       "\\item 3813\n",
       "\\item 1216\n",
       "\\item 1167\n",
       "\\item 1767\n",
       "\\item 1683\n",
       "\\item 1648\n",
       "\\item 1144\n",
       "\\item 1162\n",
       "\\item 1460\n",
       "\\item 1726\n",
       "\\item 1862\n",
       "\\item 3284\n",
       "\\item 1683\n",
       "\\item 1654\n",
       "\\item 2725\n",
       "\\item 1992\n",
       "\\item 1332\n",
       "\\item 1840\n",
       "\\item 1704\n",
       "\\item 1510\n",
       "\\item 3000\n",
       "\\item 1758\n",
       "\\item 1604\n",
       "\\item 1475\n",
       "\\item 1106\n",
       "\\item 2040\n",
       "\\item 1594\n",
       "\\item 1215\n",
       "\\item 1418\n",
       "\\item 1828\n",
       "\\item 2305\n",
       "\\item 1902\n",
       "\\item 2013\n",
       "\\item 2026\n",
       "\\item 1875\n",
       "\\item 2227\n",
       "\\item 2325\n",
       "\\item 1674\n",
       "\\item 2435\n",
       "\\item 2715\n",
       "\\item 1773\n",
       "\\item 1656\n",
       "\\item 2320\n",
       "\\item 1908\n",
       "\\item 1853\n",
       "\\item 1302\n",
       "\\item 2161\n",
       "\\item 1715\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 2860\n",
       "2. 2063\n",
       "3. 2013\n",
       "4. 2000\n",
       "5. 1420\n",
       "6. 1934\n",
       "7. 1519\n",
       "8. 2735\n",
       "9. 2329\n",
       "10. 1590\n",
       "11. 1699\n",
       "12. 1816\n",
       "13. 1824\n",
       "14. 1899\n",
       "15. 1714\n",
       "16. 1741\n",
       "17. 1968\n",
       "18. 1721\n",
       "19. 2120\n",
       "20. 1435\n",
       "21. 1909\n",
       "22. 1707\n",
       "23. 1431\n",
       "24. 2024\n",
       "25. 1725\n",
       "26. 1634\n",
       "27. 1949\n",
       "28. 1278\n",
       "29. 1677\n",
       "30. 1945\n",
       "31. 1754\n",
       "32. 1200\n",
       "33. 1307\n",
       "34. 1895\n",
       "35. 1798\n",
       "36. 1375\n",
       "37. 2665\n",
       "38. 1743\n",
       "39. 1722\n",
       "40. 2562\n",
       "41. 2277\n",
       "42. 1579\n",
       "43. 1785\n",
       "44. 1068\n",
       "45. 1411\n",
       "46. 1162\n",
       "47. 1646\n",
       "48. 1489\n",
       "49. 1769\n",
       "50. 1550\n",
       "51. 1313\n",
       "52. 2472\n",
       "53. 2036\n",
       "54. 1914\n",
       "55. 1910\n",
       "56. 2730\n",
       "57. 2235\n",
       "58. 1993\n",
       "59. 1613\n",
       "60. 1532\n",
       "61. 2339\n",
       "62. 2109\n",
       "63. 1649\n",
       "64. 2238\n",
       "65. 1733\n",
       "66. 1981\n",
       "67. 1440\n",
       "68. 1482\n",
       "69. 1758\n",
       "70. 2540\n",
       "71. 1637\n",
       "72. 1779\n",
       "73. 1069\n",
       "74. 1929\n",
       "75. 2605\n",
       "76. 1491\n",
       "77. 1321\n",
       "78. 1326\n",
       "79. 1797\n",
       "80. 1158\n",
       "81. 1595\n",
       "82. 2105\n",
       "83. 1496\n",
       "84. 1301\n",
       "85. 2467\n",
       "86. 1265\n",
       "87. 3813\n",
       "88. 1216\n",
       "89. 1167\n",
       "90. 1767\n",
       "91. 1683\n",
       "92. 1648\n",
       "93. 1144\n",
       "94. 1162\n",
       "95. 1460\n",
       "96. 1726\n",
       "97. 1862\n",
       "98. 3284\n",
       "99. 1683\n",
       "100. 1654\n",
       "101. 2725\n",
       "102. 1992\n",
       "103. 1332\n",
       "104. 1840\n",
       "105. 1704\n",
       "106. 1510\n",
       "107. 3000\n",
       "108. 1758\n",
       "109. 1604\n",
       "110. 1475\n",
       "111. 1106\n",
       "112. 2040\n",
       "113. 1594\n",
       "114. 1215\n",
       "115. 1418\n",
       "116. 1828\n",
       "117. 2305\n",
       "118. 1902\n",
       "119. 2013\n",
       "120. 2026\n",
       "121. 1875\n",
       "122. 2227\n",
       "123. 2325\n",
       "124. 1674\n",
       "125. 2435\n",
       "126. 2715\n",
       "127. 1773\n",
       "128. 1656\n",
       "129. 2320\n",
       "130. 1908\n",
       "131. 1853\n",
       "132. 1302\n",
       "133. 2161\n",
       "134. 1715\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "  [1] 2860 2063 2013 2000 1420 1934 1519 2735 2329 1590 1699 1816 1824 1899 1714\n",
       " [16] 1741 1968 1721 2120 1435 1909 1707 1431 2024 1725 1634 1949 1278 1677 1945\n",
       " [31] 1754 1200 1307 1895 1798 1375 2665 1743 1722 2562 2277 1579 1785 1068 1411\n",
       " [46] 1162 1646 1489 1769 1550 1313 2472 2036 1914 1910 2730 2235 1993 1613 1532\n",
       " [61] 2339 2109 1649 2238 1733 1981 1440 1482 1758 2540 1637 1779 1069 1929 2605\n",
       " [76] 1491 1321 1326 1797 1158 1595 2105 1496 1301 2467 1265 3813 1216 1167 1767\n",
       " [91] 1683 1648 1144 1162 1460 1726 1862 3284 1683 1654 2725 1992 1332 1840 1704\n",
       "[106] 1510 3000 1758 1604 1475 1106 2040 1594 1215 1418 1828 2305 1902 2013 2026\n",
       "[121] 1875 2227 2325 1674 2435 2715 1773 1656 2320 1908 1853 1302 2161 1715"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "times <- matrix[,-1]\n",
    "times"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>\n",
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       ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
       "</style>\n",
       "<ol class=list-inline><li>49</li><li>49</li><li>70</li><li>55</li><li>52</li><li>55</li><li>61</li><li>65</li><li>57</li><li>71</li><li>49</li><li>48</li><li>49</li><li>69</li><li>44</li><li>53</li><li>49</li><li>52</li><li>53</li><li>36</li><li>61</li><li>68</li><li>67</li><li>53</li><li>33</li><li>64</li><li>57</li><li>56</li><li>41</li><li>40</li><li>42</li><li>40</li><li>51</li><li>53</li><li>62</li><li>61</li><li>49</li><li>54</li><li>57</li><li>71</li><li>45</li><li>70</li><li>58</li><li>62</li><li>28</li><li>72</li><li>37</li><li>67</li><li>51</li><li>55</li><li>68</li><li>58</li><li>61</li><li>43</li><li>60</li><li>53</li><li>51</li><li>51</li><li>60</li><li>64</li><li>66</li><li>52</li><li>45</li><li>48</li><li>51</li><li>73</li><li>63</li><li>32</li><li>59</li><li>68</li><li>35</li><li>64</li><li>62</li><li>51</li><li>52</li><li>44</li><li>64</li><li>65</li><li>56</li><li>52</li><li>59</li><li>66</li><li>42</li><li>67</li><li>48</li><li>56</li><li>47</li><li>68</li><li>58</li><li>59</li><li>45</li><li>31</li><li>47</li><li>56</li><li>38</li><li>47</li><li>65</li><li>61</li><li>45</li><li>63</li><li>66</li><li>44</li><li>57</li><li>56</li><li>56</li><li>54</li><li>61</li><li>58</li><li>46</li><li>62</li><li>68</li><li>58</li><li>47</li><li>66</li><li>61</li><li>58</li><li>45</li><li>55</li><li>54</li><li>54</li><li>54</li><li>41</li><li>65</li><li>66</li><li>38</li><li>51</li><li>49</li><li>49</li><li>51</li><li>42</li><li>61</li><li>69</li><li>42</li><li>53</li></ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 49\n",
       "\\item 49\n",
       "\\item 70\n",
       "\\item 55\n",
       "\\item 52\n",
       "\\item 55\n",
       "\\item 61\n",
       "\\item 65\n",
       "\\item 57\n",
       "\\item 71\n",
       "\\item 49\n",
       "\\item 48\n",
       "\\item 49\n",
       "\\item 69\n",
       "\\item 44\n",
       "\\item 53\n",
       "\\item 49\n",
       "\\item 52\n",
       "\\item 53\n",
       "\\item 36\n",
       "\\item 61\n",
       "\\item 68\n",
       "\\item 67\n",
       "\\item 53\n",
       "\\item 33\n",
       "\\item 64\n",
       "\\item 57\n",
       "\\item 56\n",
       "\\item 41\n",
       "\\item 40\n",
       "\\item 42\n",
       "\\item 40\n",
       "\\item 51\n",
       "\\item 53\n",
       "\\item 62\n",
       "\\item 61\n",
       "\\item 49\n",
       "\\item 54\n",
       "\\item 57\n",
       "\\item 71\n",
       "\\item 45\n",
       "\\item 70\n",
       "\\item 58\n",
       "\\item 62\n",
       "\\item 28\n",
       "\\item 72\n",
       "\\item 37\n",
       "\\item 67\n",
       "\\item 51\n",
       "\\item 55\n",
       "\\item 68\n",
       "\\item 58\n",
       "\\item 61\n",
       "\\item 43\n",
       "\\item 60\n",
       "\\item 53\n",
       "\\item 51\n",
       "\\item 51\n",
       "\\item 60\n",
       "\\item 64\n",
       "\\item 66\n",
       "\\item 52\n",
       "\\item 45\n",
       "\\item 48\n",
       "\\item 51\n",
       "\\item 73\n",
       "\\item 63\n",
       "\\item 32\n",
       "\\item 59\n",
       "\\item 68\n",
       "\\item 35\n",
       "\\item 64\n",
       "\\item 62\n",
       "\\item 51\n",
       "\\item 52\n",
       "\\item 44\n",
       "\\item 64\n",
       "\\item 65\n",
       "\\item 56\n",
       "\\item 52\n",
       "\\item 59\n",
       "\\item 66\n",
       "\\item 42\n",
       "\\item 67\n",
       "\\item 48\n",
       "\\item 56\n",
       "\\item 47\n",
       "\\item 68\n",
       "\\item 58\n",
       "\\item 59\n",
       "\\item 45\n",
       "\\item 31\n",
       "\\item 47\n",
       "\\item 56\n",
       "\\item 38\n",
       "\\item 47\n",
       "\\item 65\n",
       "\\item 61\n",
       "\\item 45\n",
       "\\item 63\n",
       "\\item 66\n",
       "\\item 44\n",
       "\\item 57\n",
       "\\item 56\n",
       "\\item 56\n",
       "\\item 54\n",
       "\\item 61\n",
       "\\item 58\n",
       "\\item 46\n",
       "\\item 62\n",
       "\\item 68\n",
       "\\item 58\n",
       "\\item 47\n",
       "\\item 66\n",
       "\\item 61\n",
       "\\item 58\n",
       "\\item 45\n",
       "\\item 55\n",
       "\\item 54\n",
       "\\item 54\n",
       "\\item 54\n",
       "\\item 41\n",
       "\\item 65\n",
       "\\item 66\n",
       "\\item 38\n",
       "\\item 51\n",
       "\\item 49\n",
       "\\item 49\n",
       "\\item 51\n",
       "\\item 42\n",
       "\\item 61\n",
       "\\item 69\n",
       "\\item 42\n",
       "\\item 53\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 49\n",
       "2. 49\n",
       "3. 70\n",
       "4. 55\n",
       "5. 52\n",
       "6. 55\n",
       "7. 61\n",
       "8. 65\n",
       "9. 57\n",
       "10. 71\n",
       "11. 49\n",
       "12. 48\n",
       "13. 49\n",
       "14. 69\n",
       "15. 44\n",
       "16. 53\n",
       "17. 49\n",
       "18. 52\n",
       "19. 53\n",
       "20. 36\n",
       "21. 61\n",
       "22. 68\n",
       "23. 67\n",
       "24. 53\n",
       "25. 33\n",
       "26. 64\n",
       "27. 57\n",
       "28. 56\n",
       "29. 41\n",
       "30. 40\n",
       "31. 42\n",
       "32. 40\n",
       "33. 51\n",
       "34. 53\n",
       "35. 62\n",
       "36. 61\n",
       "37. 49\n",
       "38. 54\n",
       "39. 57\n",
       "40. 71\n",
       "41. 45\n",
       "42. 70\n",
       "43. 58\n",
       "44. 62\n",
       "45. 28\n",
       "46. 72\n",
       "47. 37\n",
       "48. 67\n",
       "49. 51\n",
       "50. 55\n",
       "51. 68\n",
       "52. 58\n",
       "53. 61\n",
       "54. 43\n",
       "55. 60\n",
       "56. 53\n",
       "57. 51\n",
       "58. 51\n",
       "59. 60\n",
       "60. 64\n",
       "61. 66\n",
       "62. 52\n",
       "63. 45\n",
       "64. 48\n",
       "65. 51\n",
       "66. 73\n",
       "67. 63\n",
       "68. 32\n",
       "69. 59\n",
       "70. 68\n",
       "71. 35\n",
       "72. 64\n",
       "73. 62\n",
       "74. 51\n",
       "75. 52\n",
       "76. 44\n",
       "77. 64\n",
       "78. 65\n",
       "79. 56\n",
       "80. 52\n",
       "81. 59\n",
       "82. 66\n",
       "83. 42\n",
       "84. 67\n",
       "85. 48\n",
       "86. 56\n",
       "87. 47\n",
       "88. 68\n",
       "89. 58\n",
       "90. 59\n",
       "91. 45\n",
       "92. 31\n",
       "93. 47\n",
       "94. 56\n",
       "95. 38\n",
       "96. 47\n",
       "97. 65\n",
       "98. 61\n",
       "99. 45\n",
       "100. 63\n",
       "101. 66\n",
       "102. 44\n",
       "103. 57\n",
       "104. 56\n",
       "105. 56\n",
       "106. 54\n",
       "107. 61\n",
       "108. 58\n",
       "109. 46\n",
       "110. 62\n",
       "111. 68\n",
       "112. 58\n",
       "113. 47\n",
       "114. 66\n",
       "115. 61\n",
       "116. 58\n",
       "117. 45\n",
       "118. 55\n",
       "119. 54\n",
       "120. 54\n",
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       "122. 41\n",
       "123. 65\n",
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       "125. 38\n",
       "126. 51\n",
       "127. 49\n",
       "128. 49\n",
       "129. 51\n",
       "130. 42\n",
       "131. 61\n",
       "132. 69\n",
       "133. 42\n",
       "134. 53\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "  [1] 49 49 70 55 52 55 61 65 57 71 49 48 49 69 44 53 49 52 53 36 61 68 67 53 33\n",
       " [26] 64 57 56 41 40 42 40 51 53 62 61 49 54 57 71 45 70 58 62 28 72 37 67 51 55\n",
       " [51] 68 58 61 43 60 53 51 51 60 64 66 52 45 48 51 73 63 32 59 68 35 64 62 51 52\n",
       " [76] 44 64 65 56 52 59 66 42 67 48 56 47 68 58 59 45 31 47 56 38 47 65 61 45 63\n",
       "[101] 66 44 57 56 56 54 61 58 46 62 68 58 47 66 61 58 45 55 54 54 54 41 65 66 38\n",
       "[126] 51 49 49 51 42 61 69 42 53"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "marks <- matrix[,1]\n",
    "marks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = marks ~ times)\n",
       "\n",
       "Residuals:\n",
       "    Min      1Q  Median      3Q     Max \n",
       "-27.029  -5.720   0.352   7.341  18.660 \n",
       "\n",
       "Coefficients:\n",
       "             Estimate Std. Error t value Pr(>|t|)    \n",
       "(Intercept) 56.733267   3.457018  16.411   <2e-16 ***\n",
       "times       -0.001208   0.001837  -0.658    0.512    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 9.835 on 132 degrees of freedom\n",
       "Multiple R-squared:  0.003265,\tAdjusted R-squared:  -0.004286 \n",
       "F-statistic: 0.4324 on 1 and 132 DF,  p-value: 0.512\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Linear model\n",
    "r <- lm(marks ~ times)\n",
    "\n",
    "#Resumen estadístico\n",
    "summary(r)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Fórmula\n",
    "\n",
    "# Mark = times.estimate * (Time) + intercept.estimate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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W6TDlKPO8DLS2ACBHbmmLwd26zg2BeT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+Z+hB9GOUHpk86O+FRsHiuB2DWp2fZxKWIYApa6E72T8AZa7VsE0HadjEvZ4EJCAB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\nRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Gráfica de dispersión con línea de modelo lineal\n",
    "plot(times,marks)\n",
    "abline(r,col=\"red\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] \"Dado el data set y calculando el modelo lineal, para un tiempo de 10000 segundos, la calificación estimada es: \"\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "53.230067"
      ],
      "text/latex": [
       "53.230067"
      ],
      "text/markdown": [
       "53.230067"
      ],
      "text/plain": [
       "[1] 53.23007"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#ejemplo\n",
    "\n",
    "mark <- -0.001208 *2900 + 56.733267 \n",
    "\n",
    "print(\"Dado el data set y calculando el modelo lineal, para un tiempo de 10000 segundos, la calificación estimada es: \")\n",
    "mark"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "4.0.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}