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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Regression questions\n",
"\n",
"consider the response variable (price) and independent variable (bore). "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## r.1"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"load imports-85\n",
"ds = dataset(X(:,7),X(:,8),X(:,9),X(:,15),'Varnames',{'curb_weight','engine_size','bore','price'});\n",
"\n",
"mdl=fitlm(ds,'price~bore');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## r.1.1 (5 pts) plot the regression of price vs. bore"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## r.1.2 (10 pts) for the same model, what the $p$-value and $t$ statistic for $$H_1: \\beta_1=0$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## r.1.3 (10 pts) for the same model, what are the $p$-value and $t$ statistic for $$H_1: \\beta_1=100$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## r.1.4 (10 pts) Are the data consistent with the assumptions of the model? "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## r.2 "
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"mdl=fitlm(ds,'bore~engine_size');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## r.2.1 (5 pts) plot the regression of bore vs. engine_size"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## r.2.2 (10 pts) for the same model, what the $p$-value and $t$ statistic for $$H_1: \\beta_1=0$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## r.2.3 (10 pts) Are the data consistent with the assumptions of the model? "
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Matlab",
"language": "matlab",
"name": "matlab"
},
"language_info": {
"codemirror_mode": "octave",
"file_extension": ".m",
"help_links": [
{
"text": "MetaKernel Magics",
"url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
}
],
"mimetype": "text/x-matlab",
"name": "matlab",
"version": "0.14.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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