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Created October 15, 2017 02:08
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This notebook covers: * Fitting and interpreting linear models * Evaluating model assumptions * Selecting among competing models
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{
"metadata": {
"language_info": {
"file_extension": ".r",
"mimetype": "text/x-r-source",
"version": "3.3.2",
"pygments_lexer": "r",
"name": "R",
"codemirror_mode": "r"
},
"kernelspec": {
"display_name": "R with Spark 2.0",
"language": "R",
"name": "r-spark20"
}
},
"cells": [
{
"outputs": [],
"cell_type": "code",
"source": "#@author: Venky Rao [email protected]\n#@last edited: 14 Oct 2017\n#@source: materials, data and examples adapted from R in Action 2nd Edition by Dr. Robert Kabacoff",
"execution_count": 1,
"metadata": {
"collapsed": true
}
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# Regression in R"
},
{
"outputs": [],
"cell_type": "code",
"source": "#in many ways, regression analysis lives at the heart of statistics\n#it is a broad term for a set of methodologies used to predict a response variable\n#(also called a dependent, criterion or outcome variable) from one or more\n#predictor variables (also called independent or explanatory variables)",
"execution_count": 2,
"metadata": {
"collapsed": true
}
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Ordinary Least Squares (OLS) regression"
},
{
"outputs": [],
"cell_type": "code",
"source": "#in OLS regression, a quantitative dependent variable is predicted from a weighted sum of\n#predictor variables, where the weights are parameters estimated from the data.\n#OLS regression is the most common variety of statistical analysis today.\n#the methods that fall under the rubric of OLS regression include simple linear regression,\n#polynomial regression and multiple linear regression.",
"execution_count": 3,
"metadata": {
"collapsed": true
}
},
{
"metadata": {
"collapsed": true
},
"cell_type": "markdown",
"source": "### Simple linear regression"
},
{
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": " height weight\n1 58 115 \n2 59 117 \n3 60 120 \n4 61 123 \n5 62 126 \n6 63 129 \n7 64 132 \n8 65 135 \n9 66 139 \n10 67 142 \n11 68 146 \n12 69 150 \n13 70 154 \n14 71 159 \n15 72 164 ",
"text/latex": "\\begin{tabular}{r|ll}\n height & weight\\\\\n\\hline\n\t 58 & 115\\\\\n\t 59 & 117\\\\\n\t 60 & 120\\\\\n\t 61 & 123\\\\\n\t 62 & 126\\\\\n\t 63 & 129\\\\\n\t 64 & 132\\\\\n\t 65 & 135\\\\\n\t 66 & 139\\\\\n\t 67 & 142\\\\\n\t 68 & 146\\\\\n\t 69 & 150\\\\\n\t 70 & 154\\\\\n\t 71 & 159\\\\\n\t 72 & 164\\\\\n\\end{tabular}\n",
"text/html": "<table>\n<thead><tr><th scope=col>height</th><th scope=col>weight</th></tr></thead>\n<tbody>\n\t<tr><td>58 </td><td>115</td></tr>\n\t<tr><td>59 </td><td>117</td></tr>\n\t<tr><td>60 </td><td>120</td></tr>\n\t<tr><td>61 </td><td>123</td></tr>\n\t<tr><td>62 </td><td>126</td></tr>\n\t<tr><td>63 </td><td>129</td></tr>\n\t<tr><td>64 </td><td>132</td></tr>\n\t<tr><td>65 </td><td>135</td></tr>\n\t<tr><td>66 </td><td>139</td></tr>\n\t<tr><td>67 </td><td>142</td></tr>\n\t<tr><td>68 </td><td>146</td></tr>\n\t<tr><td>69 </td><td>150</td></tr>\n\t<tr><td>70 </td><td>154</td></tr>\n\t<tr><td>71 </td><td>159</td></tr>\n\t<tr><td>72 </td><td>164</td></tr>\n</tbody>\n</table>\n"
},
"metadata": {}
}
],
"cell_type": "code",
"source": "#we use the dataset \"women\" in the base installation of R which provides the height\n#and weight of 15 women of ages 30 to 39. The following code calculates an equation\n#for predicting weight from height.\n#let's review the dataset first\nwomen",
"execution_count": 1,
"metadata": {}
},
{
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "\nCall:\nlm(formula = weight ~ height, data = women)\n\nResiduals:\n Min 1Q Median 3Q Max \n-1.7333 -1.1333 -0.3833 0.7417 3.1167 \n\nCoefficients:\n Estimate Std. Error t value Pr(>|t|) \n(Intercept) -87.51667 5.93694 -14.74 1.71e-09 ***\nheight 3.45000 0.09114 37.85 1.09e-14 ***\n---\nSignif. codes: 0 \u2018***\u2019 0.001 \u2018**\u2019 0.01 \u2018*\u2019 0.05 \u2018.\u2019 0.1 \u2018 \u2019 1\n\nResidual standard error: 1.525 on 13 degrees of freedom\nMultiple R-squared: 0.991,\tAdjusted R-squared: 0.9903 \nF-statistic: 1433 on 1 and 13 DF, p-value: 1.091e-14\n"
},
"metadata": {}
}
],
"cell_type": "code",
"source": "#fit a simple linear regression model\nfit <- lm(weight ~ height, data = women)\n#display results of the fitted model\nsummary(fit)",
"execution_count": 9,
"metadata": {}
},
{
"outputs": [],
"cell_type": "code",
"source": "#because a height of zero is impossible, you would not try to give a physical interpretation\n#to the intercept\n\n#from the Pr(>|t|) column, you see that the regression coefficient (3.45) is signiticantly\n#different from zero (p < 0.001) and indicates that there is an expected increase of 3.45\n#pounds of weight for every 1 inch increase in height.\n#1.091e-14 = 1.091 * 10^-14 = 0.000000...\n#let us understand this further:\n##let us begin with a hypothesis: height and weight are independent\n#the p-value is the probability of obtaining the sampled results, assuming independence of\n #the row and column variables in the population.\n#because p-value < 0.001, you reject the hypothesis that height and weight are independent!\n\n#the multiple R-squared (0.991) indicates that the model accounts for 99.1% of variance in heights\n#the multiple R-squared is the squared correlation between the actual and predicted value\n\n#the residual standard error (1.53 pounds) can be thought of as the average error in predicting\n#weight from height using this model\n\n#the F-statistic tests whether the predictor variables, take together, predict the response variable\n#above chance levels. because there is only one predictor variable in simple regression, in this\n#example, the F-statistic is equivalent to the t-test for regression coefficient for height",
"execution_count": 11,
"metadata": {
"collapsed": true
}
},
{
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": " [1] 115 117 120 123 126 129 132 135 139 142 146 150 154 159 164",
"text/latex": "\\begin{enumerate*}\n\\item 115\n\\item 117\n\\item 120\n\\item 123\n\\item 126\n\\item 129\n\\item 132\n\\item 135\n\\item 139\n\\item 142\n\\item 146\n\\item 150\n\\item 154\n\\item 159\n\\item 164\n\\end{enumerate*}\n",
"text/html": "<ol class=list-inline>\n\t<li>115</li>\n\t<li>117</li>\n\t<li>120</li>\n\t<li>123</li>\n\t<li>126</li>\n\t<li>129</li>\n\t<li>132</li>\n\t<li>135</li>\n\t<li>139</li>\n\t<li>142</li>\n\t<li>146</li>\n\t<li>150</li>\n\t<li>154</li>\n\t<li>159</li>\n\t<li>164</li>\n</ol>\n",
"text/markdown": "1. 115\n2. 117\n3. 120\n4. 123\n5. 126\n6. 129\n7. 132\n8. 135\n9. 139\n10. 142\n11. 146\n12. 150\n13. 154\n14. 159\n15. 164\n\n\n"
},
"metadata": {}
}
],
"cell_type": "code",
"source": "#list all the weights of women\nwomen$weight",
"execution_count": 3,
"metadata": {}
},
{
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": " 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 \n113 116 119 123 126 130 133 137 140 144 147 151 154 157 161 ",
"text/latex": "\\begin{description*}\n\\item[1] 113\n\\item[2] 116\n\\item[3] 119\n\\item[4] 123\n\\item[5] 126\n\\item[6] 130\n\\item[7] 133\n\\item[8] 137\n\\item[9] 140\n\\item[10] 144\n\\item[11] 147\n\\item[12] 151\n\\item[13] 154\n\\item[14] 157\n\\item[15] 161\n\\end{description*}\n",
"text/html": "<dl class=dl-horizontal>\n\t<dt>1</dt>\n\t\t<dd>113</dd>\n\t<dt>2</dt>\n\t\t<dd>116</dd>\n\t<dt>3</dt>\n\t\t<dd>119</dd>\n\t<dt>4</dt>\n\t\t<dd>123</dd>\n\t<dt>5</dt>\n\t\t<dd>126</dd>\n\t<dt>6</dt>\n\t\t<dd>130</dd>\n\t<dt>7</dt>\n\t\t<dd>133</dd>\n\t<dt>8</dt>\n\t\t<dd>137</dd>\n\t<dt>9</dt>\n\t\t<dd>140</dd>\n\t<dt>10</dt>\n\t\t<dd>144</dd>\n\t<dt>11</dt>\n\t\t<dd>147</dd>\n\t<dt>12</dt>\n\t\t<dd>151</dd>\n\t<dt>13</dt>\n\t\t<dd>154</dd>\n\t<dt>14</dt>\n\t\t<dd>157</dd>\n\t<dt>15</dt>\n\t\t<dd>161</dd>\n</dl>\n",
"text/markdown": "1\n: 1132\n: 1163\n: 1194\n: 1235\n: 1266\n: 1307\n: 1338\n: 1379\n: 14010\n: 14411\n: 14712\n: 15113\n: 15414\n: 15715\n: 161\n\n"
},
"metadata": {}
}
],
"cell_type": "code",
"source": "#list all the predicted values in a fitted model\nround(fitted(fit))",
"execution_count": 5,
"metadata": {}
},
{
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": " 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 \n 2 1 1 0 0 -1 -1 -2 -1 -2 -1 -1 0 2 3 ",
"text/latex": "\\begin{description*}\n\\item[1] 2\n\\item[2] 1\n\\item[3] 1\n\\item[4] 0\n\\item[5] 0\n\\item[6] -1\n\\item[7] -1\n\\item[8] -2\n\\item[9] -1\n\\item[10] -2\n\\item[11] -1\n\\item[12] -1\n\\item[13] 0\n\\item[14] 2\n\\item[15] 3\n\\end{description*}\n",
"text/html": "<dl class=dl-horizontal>\n\t<dt>1</dt>\n\t\t<dd>2</dd>\n\t<dt>2</dt>\n\t\t<dd>1</dd>\n\t<dt>3</dt>\n\t\t<dd>1</dd>\n\t<dt>4</dt>\n\t\t<dd>0</dd>\n\t<dt>5</dt>\n\t\t<dd>0</dd>\n\t<dt>6</dt>\n\t\t<dd>-1</dd>\n\t<dt>7</dt>\n\t\t<dd>-1</dd>\n\t<dt>8</dt>\n\t\t<dd>-2</dd>\n\t<dt>9</dt>\n\t\t<dd>-1</dd>\n\t<dt>10</dt>\n\t\t<dd>-2</dd>\n\t<dt>11</dt>\n\t\t<dd>-1</dd>\n\t<dt>12</dt>\n\t\t<dd>-1</dd>\n\t<dt>13</dt>\n\t\t<dd>0</dd>\n\t<dt>14</dt>\n\t\t<dd>2</dd>\n\t<dt>15</dt>\n\t\t<dd>3</dd>\n</dl>\n",
"text/markdown": "1\n: 22\n: 13\n: 14\n: 05\n: 06\n: -17\n: -18\n: -29\n: -110\n: -211\n: -112\n: -113\n: 014\n: 215\n: 3\n\n"
},
"metadata": {}
}
],
"cell_type": "code",
"source": "#list the residual values in a fitted model\nround(residuals(fit))",
"execution_count": 7,
"metadata": {}
},
{
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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"
},
"metadata": {}
}
],
"cell_type": "code",
"source": "#plot height versus weight and add a line of fit\nplot(women$height, women$weight,\n xlab = \"Height (in inches)\", # x-axis label\n ylab = \"Weight (in pounds)\") #y-axis label\nabline(fit) #add the line of fit",
"execution_count": 8,
"metadata": {}
},
{
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "(Intercept) height \n -87.51667 3.45000 ",
"text/latex": "\\begin{description*}\n\\item[(Intercept)] -87.5166666666665\n\\item[height] 3.45\n\\end{description*}\n",
"text/html": "<dl class=dl-horizontal>\n\t<dt>(Intercept)</dt>\n\t\t<dd>-87.5166666666665</dd>\n\t<dt>height</dt>\n\t\t<dd>3.45</dd>\n</dl>\n",
"text/markdown": "(Intercept)\n: -87.5166666666665height\n: 3.45\n\n"
},
"metadata": {}
}
],
"cell_type": "code",
"source": "#list the coefficients of the fitted model\ncoefficients(fit)",
"execution_count": 9,
"metadata": {}
},
{
"outputs": [],
"cell_type": "code",
"source": "#from the above, we can see that the prediction equation is:\n#predictedWeight = -87.52 + 3.45 * Height",
"execution_count": 12,
"metadata": {
"collapsed": true
}
},
{
"metadata": {
"collapsed": true
},
"cell_type": "markdown",
"source": "### Polynomial regression"
},
{
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "\nCall:\nlm(formula = weight ~ height + I(height^2), data = women)\n\nResiduals:\n Min 1Q Median 3Q Max \n-0.50941 -0.29611 -0.00941 0.28615 0.59706 \n\nCoefficients:\n Estimate Std. Error t value Pr(>|t|) \n(Intercept) 261.87818 25.19677 10.393 2.36e-07 ***\nheight -7.34832 0.77769 -9.449 6.58e-07 ***\nI(height^2) 0.08306 0.00598 13.891 9.32e-09 ***\n---\nSignif. codes: 0 \u2018***\u2019 0.001 \u2018**\u2019 0.01 \u2018*\u2019 0.05 \u2018.\u2019 0.1 \u2018 \u2019 1\n\nResidual standard error: 0.3841 on 12 degrees of freedom\nMultiple R-squared: 0.9995,\tAdjusted R-squared: 0.9994 \nF-statistic: 1.139e+04 on 2 and 12 DF, p-value: < 2.2e-16\n"
},
"metadata": {}
}
],
"cell_type": "code",
"source": "#the following code shows the results of fitting a quadratic equation\nfit2 <- lm(weight ~ height + I(height ^ 2), data = women)\nsummary(fit2)",
"execution_count": 3,
"metadata": {}
},
{
"outputs": [],
"cell_type": "code",
"source": "#the term \"height ^ 2\" adds a height-squared term to the prediction equation\n#the \"I\" function treats the contents within the parenthesis as an R regular expression.\n\n#from this analysis, the new prediction equation is:\n# predictedWeight = 261.88 - 7.35 * Height + 0.083 * (Height ^ 2)\n#both regression coefficients are significant at the p < 0.0001 level\n#regression coefficient for height has Pr(>|t|) = 6.58e-07 = 6.58 * 10 ^ -7 = 0.000000658 \n#regression coefficient for height ^ 2 has Pr(>|t|) = 9.32e-09 = 9.32 * 10 ^ -9 = 0.00000000932\n\n#the p-value is the probability of obtaining the sampled results, assuming independence of\n #the row and column variables in the population.\n#because p-value < 0.001, you reject the hypothesis that height and weight and height ^ 2 and weight are independent!\n\n#the multiple R-squared has improved from 0.991 in the simple linear model to\n#0.9995 in the quadratic model. This shows that the amount of variance accounted for has increased (this is a good thing!)\n\n#the significance of the squared term (t = 13.89, p < 0.01) suggests that the inclusion of the quadratic term improves model fit\n#the plot below confirms this",
"execution_count": 4,
"metadata": {
"collapsed": true
}
},
{
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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"
},
"metadata": {}
}
],
"cell_type": "code",
"source": "#plot height versus weight and add a line of fit\nplot(women$height, women$weight,\n xlab = \"Height (in inches)\", # x-axis label\n ylab = \"Weight (in pounds)\") #y-axis label\nlines(women$height, fitted(fit2), col = \"dark green\") #add the line of fit including the quadratic term\nabline(fit, col = \"blue\") #adding the original line of fit",
"execution_count": 16,
"metadata": {}
},
{
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "\nCall:\nlm(formula = weight ~ height + I(height^2) + I(height^3), data = women)\n\nResiduals:\n Min 1Q Median 3Q Max \n-0.40677 -0.17391 0.03091 0.12051 0.42191 \n\nCoefficients:\n Estimate Std. Error t value Pr(>|t|) \n(Intercept) -8.967e+02 2.946e+02 -3.044 0.01116 * \nheight 4.641e+01 1.366e+01 3.399 0.00594 **\nI(height^2) -7.462e-01 2.105e-01 -3.544 0.00460 **\nI(height^3) 4.253e-03 1.079e-03 3.940 0.00231 **\n---\nSignif. codes: 0 \u2018***\u2019 0.001 \u2018**\u2019 0.01 \u2018*\u2019 0.05 \u2018.\u2019 0.1 \u2018 \u2019 1\n\nResidual standard error: 0.2583 on 11 degrees of freedom\nMultiple R-squared: 0.9998,\tAdjusted R-squared: 0.9997 \nF-statistic: 1.679e+04 on 3 and 11 DF, p-value: < 2.2e-16\n"
},
"metadata": {}
}
],
"cell_type": "code",
"source": "#to fit a cubic polynomial, use the following code:\nfit3 <- lm(weight ~ height + I(height ^ 2) + I(height ^ 3), data = women)\nsummary(fit3)\n#although higher polynomials are possible, terms higher than cubic are rarely necessary",
"execution_count": 18,
"metadata": {}
},
{
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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"
},
"metadata": {}
}
],
"cell_type": "code",
"source": "#the scatterplot() function in the \"car\" package provides a simple and convenient\n#method of plotting a bivariate relationship. here's an example:\n#install.packages(\"car\") in case you need to install the car package\nlibrary(car) #load the \"car\" package\nscatterplot(weight ~ height, data = women, #data that you want to plot\n spread = FALSE, #this option suppresses spread and asymmetry information\n smoother.args = list(lty = 2), #specifies that the loess fit be rendered as a dashed line\n pch = 19, #displays points as filled circles\n main = \"Women Age 30 - 39\", #main title\n xlab = \"Height (inches)\", #x-axis label\n ylab = \"Weight (lbs.)\") #y-axis label",
"execution_count": 20,
"metadata": {}
},
{
"outputs": [],
"cell_type": "code",
"source": "#you can tell from the chart above that the two variables are roughly\n#asymmetrical and that a curved line will fit the data points better than a straight line\n\n#loess stands for locally weighted scatterplot smoothing. More information can be found here:\n# https://en.wikipedia.org/wiki/Local_regression",
"execution_count": 21,
"metadata": {
"collapsed": true
}
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### Multiple linear regression"
},
{
"outputs": [],
"cell_type": "code",
"source": "#when there is more than one predictor variable, simple regression becomes\n#multiple linear regression. Technically, ploynomial regression is a special\n#case of multiple regression\n\n#to understand multiple linear regression, we will use the states.x77 dataset\n#in the base R package and explore the relationship between a state's murder rate\n#and other characteristics of the state including population, illiteracy rate,\n#average income and frost levels (mean number of days below freezing)",
"execution_count": 2,
"metadata": {
"collapsed": true
}
},
{
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": " Murder Population Illiteracy Income Frost\nAlabama 15.1 3615 2.1 3624 20 \nAlaska 11.3 365 1.5 6315 152 \nArizona 7.8 2212 1.8 4530 15 \nArkansas 10.1 2110 1.9 3378 65 \nCalifornia 10.3 21198 1.1 5114 20 \nColorado 6.8 2541 0.7 4884 166 \nConnecticut 3.1 3100 1.1 5348 139 \nDelaware 6.2 579 0.9 4809 103 \nFlorida 10.7 8277 1.3 4815 11 \nGeorgia 13.9 4931 2.0 4091 60 \nHawaii 6.2 868 1.9 4963 0 \nIdaho 5.3 813 0.6 4119 126 \nIllinois 10.3 11197 0.9 5107 127 \nIndiana 7.1 5313 0.7 4458 122 \nIowa 2.3 2861 0.5 4628 140 \nKansas 4.5 2280 0.6 4669 114 \nKentucky 10.6 3387 1.6 3712 95 \nLouisiana 13.2 3806 2.8 3545 12 \nMaine 2.7 1058 0.7 3694 161 \nMaryland 8.5 4122 0.9 5299 101 \nMassachusetts 3.3 5814 1.1 4755 103 \nMichigan 11.1 9111 0.9 4751 125 \nMinnesota 2.3 3921 0.6 4675 160 \nMississippi 12.5 2341 2.4 3098 50 \nMissouri 9.3 4767 0.8 4254 108 \nMontana 5.0 746 0.6 4347 155 \nNebraska 2.9 1544 0.6 4508 139 \nNevada 11.5 590 0.5 5149 188 \nNew Hampshire 3.3 812 0.7 4281 174 \nNew Jersey 5.2 7333 1.1 5237 115 \nNew Mexico 9.7 1144 2.2 3601 120 \nNew York 10.9 18076 1.4 4903 82 \nNorth Carolina 11.1 5441 1.8 3875 80 \nNorth Dakota 1.4 637 0.8 5087 186 \nOhio 7.4 10735 0.8 4561 124 \nOklahoma 6.4 2715 1.1 3983 82 \nOregon 4.2 2284 0.6 4660 44 \nPennsylvania 6.1 11860 1.0 4449 126 \nRhode Island 2.4 931 1.3 4558 127 \nSouth Carolina 11.6 2816 2.3 3635 65 \nSouth Dakota 1.7 681 0.5 4167 172 \nTennessee 11.0 4173 1.7 3821 70 \nTexas 12.2 12237 2.2 4188 35 \nUtah 4.5 1203 0.6 4022 137 \nVermont 5.5 472 0.6 3907 168 \nVirginia 9.5 4981 1.4 4701 85 \nWashington 4.3 3559 0.6 4864 32 \nWest Virginia 6.7 1799 1.4 3617 100 \nWisconsin 3.0 4589 0.7 4468 149 \nWyoming 6.9 376 0.6 4566 173 ",
"text/latex": "\\begin{tabular}{r|lllll}\n & Murder & Population & Illiteracy & Income & Frost\\\\\n\\hline\n\tAlabama & 15.1 & 3615 & 2.1 & 3624 & 20 \\\\\n\tAlaska & 11.3 & 365 & 1.5 & 6315 & 152 \\\\\n\tArizona & 7.8 & 2212 & 1.8 & 4530 & 15 \\\\\n\tArkansas & 10.1 & 2110 & 1.9 & 3378 & 65 \\\\\n\tCalifornia & 10.3 & 21198 & 1.1 & 5114 & 20 \\\\\n\tColorado & 6.8 & 2541 & 0.7 & 4884 & 166 \\\\\n\tConnecticut & 3.1 & 3100 & 1.1 & 5348 & 139 \\\\\n\tDelaware & 6.2 & 579 & 0.9 & 4809 & 103 \\\\\n\tFlorida & 10.7 & 8277 & 1.3 & 4815 & 11 \\\\\n\tGeorgia & 13.9 & 4931 & 2.0 & 4091 & 60 \\\\\n\tHawaii & 6.2 & 868 & 1.9 & 4963 & 0 \\\\\n\tIdaho & 5.3 & 813 & 0.6 & 4119 & 126 \\\\\n\tIllinois & 10.3 & 11197 & 0.9 & 5107 & 127 \\\\\n\tIndiana & 7.1 & 5313 & 0.7 & 4458 & 122 \\\\\n\tIowa & 2.3 & 2861 & 0.5 & 4628 & 140 \\\\\n\tKansas & 4.5 & 2280 & 0.6 & 4669 & 114 \\\\\n\tKentucky & 10.6 & 3387 & 1.6 & 3712 & 95 \\\\\n\tLouisiana & 13.2 & 3806 & 2.8 & 3545 & 12 \\\\\n\tMaine & 2.7 & 1058 & 0.7 & 3694 & 161 \\\\\n\tMaryland & 8.5 & 4122 & 0.9 & 5299 & 101 \\\\\n\tMassachusetts & 3.3 & 5814 & 1.1 & 4755 & 103 \\\\\n\tMichigan & 11.1 & 9111 & 0.9 & 4751 & 125 \\\\\n\tMinnesota & 2.3 & 3921 & 0.6 & 4675 & 160 \\\\\n\tMississippi & 12.5 & 2341 & 2.4 & 3098 & 50 \\\\\n\tMissouri & 9.3 & 4767 & 0.8 & 4254 & 108 \\\\\n\tMontana & 5.0 & 746 & 0.6 & 4347 & 155 \\\\\n\tNebraska & 2.9 & 1544 & 0.6 & 4508 & 139 \\\\\n\tNevada & 11.5 & 590 & 0.5 & 5149 & 188 \\\\\n\tNew Hampshire & 3.3 & 812 & 0.7 & 4281 & 174 \\\\\n\tNew Jersey & 5.2 & 7333 & 1.1 & 5237 & 115 \\\\\n\tNew Mexico & 9.7 & 1144 & 2.2 & 3601 & 120 \\\\\n\tNew York & 10.9 & 18076 & 1.4 & 4903 & 82 \\\\\n\tNorth Carolina & 11.1 & 5441 & 1.8 & 3875 & 80 \\\\\n\tNorth Dakota & 1.4 & 637 & 0.8 & 5087 & 186 \\\\\n\tOhio & 7.4 & 10735 & 0.8 & 4561 & 124 \\\\\n\tOklahoma & 6.4 & 2715 & 1.1 & 3983 & 82 \\\\\n\tOregon & 4.2 & 2284 & 0.6 & 4660 & 44 \\\\\n\tPennsylvania & 6.1 & 11860 & 1.0 & 4449 & 126 \\\\\n\tRhode Island & 2.4 & 931 & 1.3 & 4558 & 127 \\\\\n\tSouth Carolina & 11.6 & 2816 & 2.3 & 3635 & 65 \\\\\n\tSouth Dakota & 1.7 & 681 & 0.5 & 4167 & 172 \\\\\n\tTennessee & 11.0 & 4173 & 1.7 & 3821 & 70 \\\\\n\tTexas & 12.2 & 12237 & 2.2 & 4188 & 35 \\\\\n\tUtah & 4.5 & 1203 & 0.6 & 4022 & 137 \\\\\n\tVermont & 5.5 & 472 & 0.6 & 3907 & 168 \\\\\n\tVirginia & 9.5 & 4981 & 1.4 & 4701 & 85 \\\\\n\tWashington & 4.3 & 3559 & 0.6 & 4864 & 32 \\\\\n\tWest Virginia & 6.7 & 1799 & 1.4 & 3617 & 100 \\\\\n\tWisconsin & 3.0 & 4589 & 0.7 & 4468 & 149 \\\\\n\tWyoming & 6.9 & 376 & 0.6 & 4566 & 173 \\\\\n\\end{tabular}\n",
"text/html": "<table>\n<thead><tr><th></th><th scope=col>Murder</th><th scope=col>Population</th><th scope=col>Illiteracy</th><th scope=col>Income</th><th scope=col>Frost</th></tr></thead>\n<tbody>\n\t<tr><th scope=row>Alabama</th><td>15.1 </td><td> 3615</td><td>2.1 </td><td>3624 </td><td> 20 </td></tr>\n\t<tr><th scope=row>Alaska</th><td>11.3 </td><td> 365</td><td>1.5 </td><td>6315 </td><td>152 </td></tr>\n\t<tr><th scope=row>Arizona</th><td> 7.8 </td><td> 2212</td><td>1.8 </td><td>4530 </td><td> 15 </td></tr>\n\t<tr><th scope=row>Arkansas</th><td>10.1 </td><td> 2110</td><td>1.9 </td><td>3378 </td><td> 65 </td></tr>\n\t<tr><th scope=row>California</th><td>10.3 </td><td>21198</td><td>1.1 </td><td>5114 </td><td> 20 </td></tr>\n\t<tr><th scope=row>Colorado</th><td> 6.8 </td><td> 2541</td><td>0.7 </td><td>4884 </td><td>166 </td></tr>\n\t<tr><th scope=row>Connecticut</th><td> 3.1 </td><td> 3100</td><td>1.1 </td><td>5348 </td><td>139 </td></tr>\n\t<tr><th scope=row>Delaware</th><td> 6.2 </td><td> 579</td><td>0.9 </td><td>4809 </td><td>103 </td></tr>\n\t<tr><th scope=row>Florida</th><td>10.7 </td><td> 8277</td><td>1.3 </td><td>4815 </td><td> 11 </td></tr>\n\t<tr><th scope=row>Georgia</th><td>13.9 </td><td> 4931</td><td>2.0 </td><td>4091 </td><td> 60 </td></tr>\n\t<tr><th scope=row>Hawaii</th><td> 6.2 </td><td> 868</td><td>1.9 </td><td>4963 </td><td> 0 </td></tr>\n\t<tr><th scope=row>Idaho</th><td> 5.3 </td><td> 813</td><td>0.6 </td><td>4119 </td><td>126 </td></tr>\n\t<tr><th scope=row>Illinois</th><td>10.3 </td><td>11197</td><td>0.9 </td><td>5107 </td><td>127 </td></tr>\n\t<tr><th scope=row>Indiana</th><td> 7.1 </td><td> 5313</td><td>0.7 </td><td>4458 </td><td>122 </td></tr>\n\t<tr><th scope=row>Iowa</th><td> 2.3 </td><td> 2861</td><td>0.5 </td><td>4628 </td><td>140 </td></tr>\n\t<tr><th scope=row>Kansas</th><td> 4.5 </td><td> 2280</td><td>0.6 </td><td>4669 </td><td>114 </td></tr>\n\t<tr><th scope=row>Kentucky</th><td>10.6 </td><td> 3387</td><td>1.6 </td><td>3712 </td><td> 95 </td></tr>\n\t<tr><th scope=row>Louisiana</th><td>13.2 </td><td> 3806</td><td>2.8 </td><td>3545 </td><td> 12 </td></tr>\n\t<tr><th scope=row>Maine</th><td> 2.7 </td><td> 1058</td><td>0.7 </td><td>3694 </td><td>161 </td></tr>\n\t<tr><th scope=row>Maryland</th><td> 8.5 </td><td> 4122</td><td>0.9 </td><td>5299 </td><td>101 </td></tr>\n\t<tr><th scope=row>Massachusetts</th><td> 3.3 </td><td> 5814</td><td>1.1 </td><td>4755 </td><td>103 </td></tr>\n\t<tr><th scope=row>Michigan</th><td>11.1 </td><td> 9111</td><td>0.9 </td><td>4751 </td><td>125 </td></tr>\n\t<tr><th scope=row>Minnesota</th><td> 2.3 </td><td> 3921</td><td>0.6 </td><td>4675 </td><td>160 </td></tr>\n\t<tr><th scope=row>Mississippi</th><td>12.5 </td><td> 2341</td><td>2.4 </td><td>3098 </td><td> 50 </td></tr>\n\t<tr><th scope=row>Missouri</th><td> 9.3 </td><td> 4767</td><td>0.8 </td><td>4254 </td><td>108 </td></tr>\n\t<tr><th scope=row>Montana</th><td> 5.0 </td><td> 746</td><td>0.6 </td><td>4347 </td><td>155 </td></tr>\n\t<tr><th scope=row>Nebraska</th><td> 2.9 </td><td> 1544</td><td>0.6 </td><td>4508 </td><td>139 </td></tr>\n\t<tr><th scope=row>Nevada</th><td>11.5 </td><td> 590</td><td>0.5 </td><td>5149 </td><td>188 </td></tr>\n\t<tr><th scope=row>New Hampshire</th><td> 3.3 </td><td> 812</td><td>0.7 </td><td>4281 </td><td>174 </td></tr>\n\t<tr><th scope=row>New Jersey</th><td> 5.2 </td><td> 7333</td><td>1.1 </td><td>5237 </td><td>115 </td></tr>\n\t<tr><th scope=row>New Mexico</th><td> 9.7 </td><td> 1144</td><td>2.2 </td><td>3601 </td><td>120 </td></tr>\n\t<tr><th scope=row>New York</th><td>10.9 </td><td>18076</td><td>1.4 </td><td>4903 </td><td> 82 </td></tr>\n\t<tr><th scope=row>North Carolina</th><td>11.1 </td><td> 5441</td><td>1.8 </td><td>3875 </td><td> 80 </td></tr>\n\t<tr><th scope=row>North Dakota</th><td> 1.4 </td><td> 637</td><td>0.8 </td><td>5087 </td><td>186 </td></tr>\n\t<tr><th scope=row>Ohio</th><td> 7.4 </td><td>10735</td><td>0.8 </td><td>4561 </td><td>124 </td></tr>\n\t<tr><th scope=row>Oklahoma</th><td> 6.4 </td><td> 2715</td><td>1.1 </td><td>3983 </td><td> 82 </td></tr>\n\t<tr><th scope=row>Oregon</th><td> 4.2 </td><td> 2284</td><td>0.6 </td><td>4660 </td><td> 44 </td></tr>\n\t<tr><th scope=row>Pennsylvania</th><td> 6.1 </td><td>11860</td><td>1.0 </td><td>4449 </td><td>126 </td></tr>\n\t<tr><th scope=row>Rhode Island</th><td> 2.4 </td><td> 931</td><td>1.3 </td><td>4558 </td><td>127 </td></tr>\n\t<tr><th scope=row>South Carolina</th><td>11.6 </td><td> 2816</td><td>2.3 </td><td>3635 </td><td> 65 </td></tr>\n\t<tr><th scope=row>South Dakota</th><td> 1.7 </td><td> 681</td><td>0.5 </td><td>4167 </td><td>172 </td></tr>\n\t<tr><th scope=row>Tennessee</th><td>11.0 </td><td> 4173</td><td>1.7 </td><td>3821 </td><td> 70 </td></tr>\n\t<tr><th scope=row>Texas</th><td>12.2 </td><td>12237</td><td>2.2 </td><td>4188 </td><td> 35 </td></tr>\n\t<tr><th scope=row>Utah</th><td> 4.5 </td><td> 1203</td><td>0.6 </td><td>4022 </td><td>137 </td></tr>\n\t<tr><th scope=row>Vermont</th><td> 5.5 </td><td> 472</td><td>0.6 </td><td>3907 </td><td>168 </td></tr>\n\t<tr><th scope=row>Virginia</th><td> 9.5 </td><td> 4981</td><td>1.4 </td><td>4701 </td><td> 85 </td></tr>\n\t<tr><th scope=row>Washington</th><td> 4.3 </td><td> 3559</td><td>0.6 </td><td>4864 </td><td> 32 </td></tr>\n\t<tr><th scope=row>West Virginia</th><td> 6.7 </td><td> 1799</td><td>1.4 </td><td>3617 </td><td>100 </td></tr>\n\t<tr><th scope=row>Wisconsin</th><td> 3.0 </td><td> 4589</td><td>0.7 </td><td>4468 </td><td>149 </td></tr>\n\t<tr><th scope=row>Wyoming</th><td> 6.9 </td><td> 376</td><td>0.6 </td><td>4566 </td><td>173 </td></tr>\n</tbody>\n</table>\n"
},
"metadata": {}
}
],
"cell_type": "code",
"source": "#the states.x77 dataset is contained in a matrix. Since the lm() function needs\n#a data frame, we first create a data frame using the following code:\nstates <- as.data.frame(state.x77[,c(\"Murder\", \"Population\", \"Illiteracy\", \"Income\", \"Frost\")])\nstates #print the data frame",
"execution_count": 56,
"metadata": {}
},
{
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": " Murder Population Illiteracy Income Frost \nMurder 1.0000000 0.3436428 0.7029752 -0.2300776 -0.5388834\nPopulation 0.3436428 1.0000000 0.1076224 0.2082276 -0.3321525\nIlliteracy 0.7029752 0.1076224 1.0000000 -0.4370752 -0.6719470\nIncome -0.2300776 0.2082276 -0.4370752 1.0000000 0.2262822\nFrost -0.5388834 -0.3321525 -0.6719470 0.2262822 1.0000000",
"text/latex": "\\begin{tabular}{r|lllll}\n & Murder & Population & Illiteracy & Income & Frost\\\\\n\\hline\n\tMurder & 1.0000000 & 0.3436428 & 0.7029752 & -0.2300776 & -0.5388834\\\\\n\tPopulation & 0.3436428 & 1.0000000 & 0.1076224 & 0.2082276 & -0.3321525\\\\\n\tIlliteracy & 0.7029752 & 0.1076224 & 1.0000000 & -0.4370752 & -0.6719470\\\\\n\tIncome & -0.2300776 & 0.2082276 & -0.4370752 & 1.0000000 & 0.2262822\\\\\n\tFrost & -0.5388834 & -0.3321525 & -0.6719470 & 0.2262822 & 1.0000000\\\\\n\\end{tabular}\n",
"text/html": "<table>\n<thead><tr><th></th><th scope=col>Murder</th><th scope=col>Population</th><th scope=col>Illiteracy</th><th scope=col>Income</th><th scope=col>Frost</th></tr></thead>\n<tbody>\n\t<tr><th scope=row>Murder</th><td> 1.0000000</td><td> 0.3436428</td><td> 0.7029752</td><td>-0.2300776</td><td>-0.5388834</td></tr>\n\t<tr><th scope=row>Population</th><td> 0.3436428</td><td> 1.0000000</td><td> 0.1076224</td><td> 0.2082276</td><td>-0.3321525</td></tr>\n\t<tr><th scope=row>Illiteracy</th><td> 0.7029752</td><td> 0.1076224</td><td> 1.0000000</td><td>-0.4370752</td><td>-0.6719470</td></tr>\n\t<tr><th scope=row>Income</th><td>-0.2300776</td><td> 0.2082276</td><td>-0.4370752</td><td> 1.0000000</td><td> 0.2262822</td></tr>\n\t<tr><th scope=row>Frost</th><td>-0.5388834</td><td>-0.3321525</td><td>-0.6719470</td><td> 0.2262822</td><td> 1.0000000</td></tr>\n</tbody>\n</table>\n",
"text/markdown": "1. 1\n2. 0.343642750812065\n3. 0.70297519868417\n4. -0.230077610259372\n5. -0.538883436671731\n6. 0.343642750812065\n7. 1\n8. 0.107622373394733\n9. 0.208227557479216\n10. -0.332152453881136\n11. 0.70297519868417\n12. 0.107622373394733\n13. 1\n14. -0.437075185597417\n15. -0.671946968001684\n16. -0.230077610259372\n17. 0.208227557479216\n18. -0.437075185597417\n19. 1\n20. 0.226282178878177\n21. -0.538883436671731\n22. -0.332152453881136\n23. -0.671946968001684\n24. 0.226282178878177\n25. 1\n\n\n"
},
"metadata": {}
}
],
"cell_type": "code",
"source": "#a good first step in multiple regression is to examine the relationships among\n#the variables two at a time. Let's do this below:\ncor(states) #this function provides the bivariate correlations",
"execution_count": 4,
"metadata": {}
},
{
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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"
},
"metadata": {}
}
],
"cell_type": "code",
"source": "#to visually see these correlations, we can generate scatterplots as follows:\n# install.packages(\"car\") #in case you don't have the \"car\" package installed\nlibrary(car) #load the \"car\" package to access the scatterplotMatrix() function\nscatterplotMatrix(states, #data to be plotted\n spread = FALSE, #this option suppresses spread and asymmetry information\n smoother.args = list(lty = 2), #specifies that the loess fit be rendered as a dashed line\n main = \"Scatter Plot Matrix\") #main heading",
"execution_count": 5,
"metadata": {}
},
{
"outputs": [],
"cell_type": "code",
"source": "#by default, the scatterplotMatrix() function provides scatter plots of the variables\n#with each other in the off-diagonals and superimposes smoothed (loess) and linear fit\n#lines on these plots. the principal diagonal contains density and rug plots for each variable.\n\n#you can see that the murder rate may be bimodal and that each of the predictor variables\n#are skewed to some extent\n\n#murder rates rise with population and illiteracy and fall with income and frost\n\n#colder states have lower illiteracy rates, lower population and higher incomes",
"execution_count": 6,
"metadata": {
"collapsed": true
}
},
{
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "\nCall:\nlm(formula = Murder ~ Population + Illiteracy + Income + Frost, \n data = states)\n\nResiduals:\n Min 1Q Median 3Q Max \n-4.7960 -1.6495 -0.0811 1.4815 7.6210 \n\nCoefficients:\n Estimate Std. Error t value Pr(>|t|) \n(Intercept) 1.235e+00 3.866e+00 0.319 0.7510 \nPopulation 2.237e-04 9.052e-05 2.471 0.0173 * \nIlliteracy 4.143e+00 8.744e-01 4.738 2.19e-05 ***\nIncome 6.442e-05 6.837e-04 0.094 0.9253 \nFrost 5.813e-04 1.005e-02 0.058 0.9541 \n---\nSignif. codes: 0 \u2018***\u2019 0.001 \u2018**\u2019 0.01 \u2018*\u2019 0.05 \u2018.\u2019 0.1 \u2018 \u2019 1\n\nResidual standard error: 2.535 on 45 degrees of freedom\nMultiple R-squared: 0.567,\tAdjusted R-squared: 0.5285 \nF-statistic: 14.73 on 4 and 45 DF, p-value: 9.133e-08\n"
},
"metadata": {}
}
],
"cell_type": "code",
"source": "#now we can fit an lm() function as follows:\nfit <- lm(Murder ~ Population + Illiteracy + Income + Frost, data = states)\nsummary(fit)",
"execution_count": 7,
"metadata": {}
},
{
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": " (Intercept) Population Illiteracy Income Frost \n1.2345634112 0.0002236754 4.1428365903 0.0000644247 0.0005813055 ",
"text/latex": "\\begin{description*}\n\\item[(Intercept)] 1.23456341116072\n\\item[Population] 0.000223675357302149\n\\item[Illiteracy] 4.14283659025461\n\\item[Income] 6.4424701522877e-05\n\\item[Frost] 0.000581305537729435\n\\end{description*}\n",
"text/html": "<dl class=dl-horizontal>\n\t<dt>(Intercept)</dt>\n\t\t<dd>1.23456341116072</dd>\n\t<dt>Population</dt>\n\t\t<dd>0.000223675357302149</dd>\n\t<dt>Illiteracy</dt>\n\t\t<dd>4.14283659025461</dd>\n\t<dt>Income</dt>\n\t\t<dd>6.4424701522877e-05</dd>\n\t<dt>Frost</dt>\n\t\t<dd>0.000581305537729435</dd>\n</dl>\n",
"text/markdown": "(Intercept)\n: 1.23456341116072Population\n: 0.000223675357302149Illiteracy\n: 4.14283659025461Income\n: 6.4424701522877e-05Frost\n: 0.000581305537729435\n\n"
},
"metadata": {}
}
],
"cell_type": "code",
"source": "#print the coefficients\ncoefficients(fit)",
"execution_count": 8,
"metadata": {}
},
{
"outputs": [],
"cell_type": "code",
"source": "#when there is more than one predictor variable, the regression coefficients\n#indicate the increase in the dependent variable for a unit change in a\n#predictor variable, holding all other predictor variables constant\n#for example, the regression coefficient for illiteracy is 4.14,\n#suggesting that an increase of 1% in illiteracy is associated with a 4.14% increase\n#in the murder rate, controlling for population, income and temperature.\n\n#the illiteracy coefficient is significantly different from zero at the p < 0.001 level\n##the p-value is the probability of obtaining the sampled results, assuming independence of\n #the illiteracy and murder rate variables.\n#because p-value < 0.001, you reject the hypothesis that illiteracy and murder rate are independent!\n\n#on the other hand, frost is NOT significantly different from zero p = 0.954\n#the p-value is the probability of obtaining the sampled results, assuming independence of\n#the frost and murder rate variables.\n#because p-value > 0.1, you accept the hypothesis that frost and murder rate are independent!\n#this suggests that frost and murder rate are not linearly related when controlling for\n#the other predictor variables.\n\n#as indicated by multiple R-squared, taken together, the predictor variables account for\n#57% of the variance in murder rates across states.",
"execution_count": 9,
"metadata": {
"collapsed": true
}
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### Multiple linear regression with interactions"
},
{
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "\nCall:\nlm(formula = mpg ~ hp + wt + hp:wt, data = mtcars)\n\nResiduals:\n Min 1Q Median 3Q Max \n-3.0632 -1.6491 -0.7362 1.4211 4.5513 \n\nCoefficients:\n Estimate Std. Error t value Pr(>|t|) \n(Intercept) 49.80842 3.60516 13.816 5.01e-14 ***\nhp -0.12010 0.02470 -4.863 4.04e-05 ***\nwt -8.21662 1.26971 -6.471 5.20e-07 ***\nhp:wt 0.02785 0.00742 3.753 0.000811 ***\n---\nSignif. codes: 0 \u2018***\u2019 0.001 \u2018**\u2019 0.01 \u2018*\u2019 0.05 \u2018.\u2019 0.1 \u2018 \u2019 1\n\nResidual standard error: 2.153 on 28 degrees of freedom\nMultiple R-squared: 0.8848,\tAdjusted R-squared: 0.8724 \nF-statistic: 71.66 on 3 and 28 DF, p-value: 2.981e-13\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "(Intercept) hp wt hp:wt \n49.80842343 -0.12010209 -8.21662430 0.02784815 ",
"text/latex": "\\begin{description*}\n\\item[(Intercept)] 49.8084234287603\n\\item[hp] -0.120102090978023\n\\item[wt] -8.21662429724361\n\\item[hp:wt] 0.0278481483187412\n\\end{description*}\n",
"text/markdown": "(Intercept)\n: 49.8084234287603hp\n: -0.120102090978023wt\n: -8.21662429724361hp:wt\n: 0.0278481483187412\n\n",
"text/html": "<dl class=dl-horizontal>\n\t<dt>(Intercept)</dt>\n\t\t<dd>49.8084234287603</dd>\n\t<dt>hp</dt>\n\t\t<dd>-0.120102090978023</dd>\n\t<dt>wt</dt>\n\t\t<dd>-8.21662429724361</dd>\n\t<dt>hp:wt</dt>\n\t\t<dd>0.0278481483187412</dd>\n</dl>\n"
},
"metadata": {}
}
],
"cell_type": "code",
"source": "#so far we have assumed that predictor variables do not interact with each other.\n#however, this is not necessarily true as we can see in the following code:\nfit <- lm(mpg ~ hp + wt + hp:wt, data = mtcars) #here mpg is the response variable\n#hp, wt and the interaction between hp and wt (hp:wt) are the predictor variables\n#the dataset is the \"mtcars\" dataset that is provided with the base R installation\nsummary(fit) #summary of the results\ncoefficients(fit) #prints out the coefficients",
"execution_count": 4,
"metadata": {}
},
{
"outputs": [
{
"output_type": "display_data",
"data": {},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
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"
},
"metadata": {}
}
],
"cell_type": "code",
"source": "#you can see from the \"Pr(>|t|)\" column that the interaction between\n#hp and wt is significant (p-value = 0.000811)\n#the coefficient is significantly different from zero at the p < 0.001 level\n##the p-value is the probability of obtaining the sampled results, assuming independence of\n#the interaction between hp and wt and the response variable mpg\n#because p-value < 0.001, you reject the hypothesis that mpg and hp:wt are independent!\n\n#this means that the relationship between one predictor and the response variable depends\n#on the level of the other predictor. here it means that the relationship between\n#mpg and hp depends on wt\n\n#the model for predicting mpg is as follows:\n# predictedMpg = 49.81 - 0.12 * hp - 8.22 * wt + 0.03 * hp * wt\n\n#you can plug in various value of wt into this equation to examine the impact\n#you can visualize the impacts using the effect() function in the effects package\n#the code is provided below:\n\n#install.packages(\"effects\") #install the \"effects\" package\nlibrary(effects) #load the effects library\nmyEffect <- effect(\"hp:wt\", #this is the term we want to plot; i.e. the terms whose interaction we want to visualize\n fit,, #this is the fitted model returned by lm()\n list(wt = c(2.2, 3.2, 4.2))) #list specifying the variables to be set to constant values and the values to employ\nplot(myEffect, multiline = T) #multiline = TRUE superimposes the lines being plotted",
"execution_count": 10,
"metadata": {}
},
{
"outputs": [],
"cell_type": "code",
"source": "#you can see from this graph that as the weight of the car increases, the relationship\n#between horsepower and miles per gallon weakens. For wt = 4.2, the line is almost horizontal,\n#indicating that as hp increases, mpg does not change.",
"execution_count": 8,
"metadata": {
"collapsed": true
}
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Regression diagnostics"
},
{
"outputs": [],
"cell_type": "code",
"source": "#to properly interpret the coefficients of the OLS model, you must satisfy\n#a number of statistical assumptions:\n\n#1. Normality: for fixed values of the independent variables, the dependent variable\n #is normally distributed\n\n#2. Independence: the predicted values of the dependent variable are independent of each other\n\n#3. Linearity: the dependent variable is linearly related to the independent variables\n\n#4. Homoscedasticity: the variance of the dependent variable does not vary with the\n #levels of the independent variables. Aka \"constant variance\".",
"execution_count": 14,
"metadata": {
"collapsed": true
}
},
{
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "\nCall:\nlm(formula = Murder ~ Population + Illiteracy + Income + Frost, \n data = states)\n\nResiduals:\n Min 1Q Median 3Q Max \n-4.7960 -1.6495 -0.0811 1.4815 7.6210 \n\nCoefficients:\n Estimate Std. Error t value Pr(>|t|) \n(Intercept) 1.235e+00 3.866e+00 0.319 0.7510 \nPopulation 2.237e-04 9.052e-05 2.471 0.0173 * \nIlliteracy 4.143e+00 8.744e-01 4.738 2.19e-05 ***\nIncome 6.442e-05 6.837e-04 0.094 0.9253 \nFrost 5.813e-04 1.005e-02 0.058 0.9541 \n---\nSignif. codes: 0 \u2018***\u2019 0.001 \u2018**\u2019 0.01 \u2018*\u2019 0.05 \u2018.\u2019 0.1 \u2018 \u2019 1\n\nResidual standard error: 2.535 on 45 degrees of freedom\nMultiple R-squared: 0.567,\tAdjusted R-squared: 0.5285 \nF-statistic: 14.73 on 4 and 45 DF, p-value: 9.133e-08\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": " (Intercept) Population Illiteracy Income Frost \n1.2345634112 0.0002236754 4.1428365903 0.0000644247 0.0005813055 ",
"text/latex": "\\begin{description*}\n\\item[(Intercept)] 1.23456341116072\n\\item[Population] 0.000223675357302149\n\\item[Illiteracy] 4.14283659025461\n\\item[Income] 6.4424701522877e-05\n\\item[Frost] 0.000581305537729435\n\\end{description*}\n",
"text/markdown": "(Intercept)\n: 1.23456341116072Population\n: 0.000223675357302149Illiteracy\n: 4.14283659025461Income\n: 6.4424701522877e-05Frost\n: 0.000581305537729435\n\n",
"text/html": "<dl class=dl-horizontal>\n\t<dt>(Intercept)</dt>\n\t\t<dd>1.23456341116072</dd>\n\t<dt>Population</dt>\n\t\t<dd>0.000223675357302149</dd>\n\t<dt>Illiteracy</dt>\n\t\t<dd>4.14283659025461</dd>\n\t<dt>Income</dt>\n\t\t<dd>6.4424701522877e-05</dd>\n\t<dt>Frost</dt>\n\t\t<dd>0.000581305537729435</dd>\n</dl>\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": " 2.5 % 97.5 % \n(Intercept) -6.552191e+00 9.0213182149\nPopulation 4.136397e-05 0.0004059867\nIlliteracy 2.381799e+00 5.9038743192\nIncome -1.312611e-03 0.0014414600\nFrost -1.966781e-02 0.0208304170",
"text/latex": "\\begin{tabular}{r|ll}\n & 2.5 \\% & 97.5 \\%\\\\\n\\hline\n\t(Intercept) & -6.552191e+00 & 9.0213182149 \\\\\n\tPopulation & 4.136397e-05 & 0.0004059867 \\\\\n\tIlliteracy & 2.381799e+00 & 5.9038743192 \\\\\n\tIncome & -1.312611e-03 & 0.0014414600 \\\\\n\tFrost & -1.966781e-02 & 0.0208304170 \\\\\n\\end{tabular}\n",
"text/markdown": "1. -6.55219139253448\n2. 4.13639655812133e-05\n3. 2.38179886128342\n4. -0.00131261059248322\n5. -0.0196678059059673\n6. 9.02131821485593\n7. 0.000405986749023084\n8. 5.9038743192258\n9. 0.00144145999552897\n10. 0.0208304169814262\n\n\n",
"text/html": "<table>\n<thead><tr><th></th><th scope=col>2.5 %</th><th scope=col>97.5 %</th></tr></thead>\n<tbody>\n\t<tr><th scope=row>(Intercept)</th><td>-6.552191e+00</td><td>9.0213182149 </td></tr>\n\t<tr><th scope=row>Population</th><td> 4.136397e-05</td><td>0.0004059867 </td></tr>\n\t<tr><th scope=row>Illiteracy</th><td> 2.381799e+00</td><td>5.9038743192 </td></tr>\n\t<tr><th scope=row>Income</th><td>-1.312611e-03</td><td>0.0014414600 </td></tr>\n\t<tr><th scope=row>Frost</th><td>-1.966781e-02</td><td>0.0208304170 </td></tr>\n</tbody>\n</table>\n"
},
"metadata": {}
}
],
"cell_type": "code",
"source": "#let us look at the output from the confint() function applied to the \"states\"\n#multiple regression problem:\nstates <- as.data.frame(state.x77[,c(\"Murder\", \"Population\", \"Illiteracy\", \"Income\", \"Frost\")]) #create the data frame\nfit <- lm(Murder ~ Population + Illiteracy + Income + Frost, data = states) #specify the lm() function\nsummary(fit) #print a summary of the lm() function\ncoefficients(fit) #print the coefficients from the lm() function\nconfint(fit) #print the confidence intervals of the lm() function",
"execution_count": 16,
"metadata": {}
},
{
"outputs": [],
"cell_type": "code",
"source": "#the results above suggest inter-alia that you can be 95% confident:\n#1. that the interval [2.38, 5.9] contains the true change in the murder rate for a 1% change in illiteracy rate;\n#2. that because the interval for Frost contains 0, you can conclude that a change in temperature is unrelated\n #to murder rate, holding the other variables constant.\n\n#However, your faith in these results is only as strong as the evidence you have that your data satisfies the\n#statistical assumptions underlying the model, i.e. normality, independence, linearity and homoscedasticity.\n\n#a set of techniques called \"Regression Diagnostics\" provides the necessary tools for evaluating the appropriateness\n#of the regression model and can help you uncover and correct problems.",
"execution_count": 3,
"metadata": {
"collapsed": true
}
},
{
"metadata": {
"collapsed": true
},
"cell_type": "markdown",
"source": "### A typical approach to regression diagnostics"
},
{
"outputs": [
{
"output_type": "display_data",
"data": {
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"
},
"metadata": {}
}
],
"cell_type": "code",
"source": "#the most common approach is to use the plot() function to the object returned by lm() as shown below:\nfit <- lm(weight ~ height, data = women) #store the results of the lm() function in the fit object\npar(mfrow = c(2,2)) #create a 2X2 matrix to store the plots generated by the plot() function\nplot(fit) #generate the plots",
"execution_count": 4,
"metadata": {}
},
{
"outputs": [],
"cell_type": "code",
"source": "#let us evaluate these charts against each of the assumptions of OLS regression:\n\n#1. Normality: if a dependent variable is normally distributed for a fixed set of\n #predictor values, then the residual values should be normally distributed with\n #a mean of 0. The Normal Q-Q plot (upper right) is a probability plot of the\n #standardized residuals against the values that would be expected under normality.\n #if you have met the normality assumption, the points on this graph should fall on\n #the straight 45-degree line. Because they do not, you have clearly violated the\n #normality assumption.\n\n#2. Independence: you cannot tell if the dependent variables are independent from these\n #plots. You have to use your understanding of how the data was collected. There's\n #no apriori reason to believe that one woman's weight influences another woman's\n #weight. If you found out that the data were sampled from families, you might have\n #to adjust your assumption of independence.\n\n#3. Linearity: if the dependent variable is linearly related to the independent variables,\n #there should be no systematic relationship between the residuals and the predictied\n #(fitted) values. In other words, the model should capture all the systematic variance\n #present in the data, leaving nothing but random noise. In the Residuals v/s Fitted\n #graph (upper left), you see clear evidence of a curved relationship, which suggests\n #you may want to add a quadratic term to the regression.\n\n#4. Homoscedasticity: if you have met the constant variance assumption, the points in\n #the Scale - Location graph (bottom left) should be a random band around a horizontal\n #line. You seem to meet this assumption.\n\n#Finally, the Residuals v/s Leverage graph (bottom right) provides information about\n#individual observations that you may wish to attend to. The graph identifies outliers,\n#high-leverage points and influential observations. Specifically:\n\n #an outlier is an observation that is not predicted well by the fitted regression\n #model (i.e. it has a large positive or negative residual)\n\n #an observation with a high leverage value has an unusual combination of predictor\n #values. That is, it is an outlier in the predictor space. The dependent variable\n #value is not used to calculate an observation's leverage\n\n #an influential observation is an observation that has a disproportionate impact on\n #the determination of the model parameters. Influential observations are identified\n #using a statistic called Cook's distance or Cook's D.",
"execution_count": 5,
"metadata": {
"collapsed": true
}
},
{
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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"
},
"metadata": {}
}
],
"cell_type": "code",
"source": "#let us review diagnostic plots for the quadratic fit using the following code:\nfit2 <- lm(weight ~ height + I(height ^ 2), data = women) #store the results of the lm() function in the fit2 object\npar(mfrow = c(2,2)) #create a 2X2 matrix to store the plots generated by the plot() function\nplot(fit2) #generate the plots",
"execution_count": 6,
"metadata": {}
},
{
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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"
},
"metadata": {}
}
],
"cell_type": "code",
"source": "#this set of plots suggests that the polynomial regression provides a better fit with regard\n#to the linearity assumption, normality of residuals (except of observation 13), and\n#homoscedasticity (constant residual variance). Observation 15 appears to be influential\n#(based on a large Cook's D value), and deleting it has an impact on the parameter estimates.\n\n#let's try deleting these values and evaluate model fit (you need to be careful when deleting data;\n#your models should fit your data, not the other way around!)\n\nfit3 <- lm(weight ~ height + I(height ^ 2), data = women[-c(13, 15),]) #store the results of the lm() function in the fit3 object\npar(mfrow = c(2,2)) #create a 2X2 matrix to store the plots generated by the plot() function\nplot(fit3) #generate the plots",
"execution_count": 7,
"metadata": {}
},
{
"outputs": [],
"cell_type": "code",
"source": "#let us evaluate these plots:\n\n#Normality: most of the points in the Normal Q-Q chart (upper right) fit on the 45 degree line which\n #satisfies this assumption\n\n#Independence: as indicated above, you cannot tell if the dependent variables are independent from these\n #plots.\n\n#Linearity: the points in the Residuals v/s Fitted chart (upper left) appear to be random which\n #satisfies this assumption\n\n#Homoscedasticity: the points in the Scale - Location graph (bottom left) appear to be random which\n #satisfies this assumption",
"execution_count": 8,
"metadata": {
"collapsed": true
}
},
{
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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