nishanthjois
9/8/2017 - 9:29 AM
gistfile1.txt
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Linear-Regression-Sales"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"t = read.csv('sales_data_lr.csv')"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<table>\n",
"<thead><tr><th scope=col>Store</th><th scope=col>DayOfWeek</th><th scope=col>Date</th><th scope=col>Sales</th><th scope=col>Customers</th><th scope=col>Open</th><th scope=col>Promo</th><th scope=col>StateHoliday</th><th scope=col>SchoolHoliday</th></tr></thead>\n",
"<tbody>\n",
"\t<tr><td>1 </td><td>5 </td><td>2015-07-31</td><td> 5263 </td><td> 555 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td></tr>\n",
"\t<tr><td>2 </td><td>5 </td><td>2015-07-31</td><td> 6064 </td><td> 625 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td></tr>\n",
"\t<tr><td>3 </td><td>5 </td><td>2015-07-31</td><td> 8314 </td><td> 821 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td></tr>\n",
"\t<tr><td>4 </td><td>5 </td><td>2015-07-31</td><td>13995 </td><td>1498 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td></tr>\n",
"\t<tr><td>5 </td><td>5 </td><td>2015-07-31</td><td> 4822 </td><td> 559 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td></tr>\n",
"\t<tr><td>6 </td><td>5 </td><td>2015-07-31</td><td> 5651 </td><td> 589 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td></tr>\n",
"</tbody>\n",
"</table>\n"
],
"text/latex": [
"\\begin{tabular}{r|lllllllll}\n",
" Store & DayOfWeek & Date & Sales & Customers & Open & Promo & StateHoliday & SchoolHoliday\\\\\n",
"\\hline\n",
"\t 1 & 5 & 2015-07-31 & 5263 & 555 & 1 & 1 & 0 & 1 \\\\\n",
"\t 2 & 5 & 2015-07-31 & 6064 & 625 & 1 & 1 & 0 & 1 \\\\\n",
"\t 3 & 5 & 2015-07-31 & 8314 & 821 & 1 & 1 & 0 & 1 \\\\\n",
"\t 4 & 5 & 2015-07-31 & 13995 & 1498 & 1 & 1 & 0 & 1 \\\\\n",
"\t 5 & 5 & 2015-07-31 & 4822 & 559 & 1 & 1 & 0 & 1 \\\\\n",
"\t 6 & 5 & 2015-07-31 & 5651 & 589 & 1 & 1 & 0 & 1 \\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"Store | DayOfWeek | Date | Sales | Customers | Open | Promo | StateHoliday | SchoolHoliday | \n",
"|---|---|---|---|---|---|\n",
"| 1 | 5 | 2015-07-31 | 5263 | 555 | 1 | 1 | 0 | 1 | \n",
"| 2 | 5 | 2015-07-31 | 6064 | 625 | 1 | 1 | 0 | 1 | \n",
"| 3 | 5 | 2015-07-31 | 8314 | 821 | 1 | 1 | 0 | 1 | \n",
"| 4 | 5 | 2015-07-31 | 13995 | 1498 | 1 | 1 | 0 | 1 | \n",
"| 5 | 5 | 2015-07-31 | 4822 | 559 | 1 | 1 | 0 | 1 | \n",
"| 6 | 5 | 2015-07-31 | 5651 | 589 | 1 | 1 | 0 | 1 | \n",
"\n",
"\n"
],
"text/plain": [
" Store DayOfWeek Date Sales Customers Open Promo StateHoliday\n",
"1 1 5 2015-07-31 5263 555 1 1 0 \n",
"2 2 5 2015-07-31 6064 625 1 1 0 \n",
"3 3 5 2015-07-31 8314 821 1 1 0 \n",
"4 4 5 2015-07-31 13995 1498 1 1 0 \n",
"5 5 5 2015-07-31 4822 559 1 1 0 \n",
"6 6 5 2015-07-31 5651 589 1 1 0 \n",
" SchoolHoliday\n",
"1 1 \n",
"2 1 \n",
"3 1 \n",
"4 1 \n",
"5 1 \n",
"6 1 "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"head(t)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"'data.frame':\t1017209 obs. of 9 variables:\n",
" $ Store : int 1 2 3 4 5 6 7 8 9 10 ...\n",
" $ DayOfWeek : int 5 5 5 5 5 5 5 5 5 5 ...\n",
" $ Date : Factor w/ 942 levels \"2013-01-01\",\"2013-01-02\",..: 942 942 942 942 942 942 942 942 942 942 ...\n",
" $ Sales : int 5263 6064 8314 13995 4822 5651 15344 8492 8565 7185 ...\n",
" $ Customers : int 555 625 821 1498 559 589 1414 833 687 681 ...\n",
" $ Open : int 1 1 1 1 1 1 1 1 1 1 ...\n",
" $ Promo : int 1 1 1 1 1 1 1 1 1 1 ...\n",
" $ StateHoliday : Factor w/ 4 levels \"0\",\"a\",\"b\",\"c\": 1 1 1 1 1 1 1 1 1 1 ...\n",
" $ SchoolHoliday: int 1 1 1 1 1 1 1 1 1 1 ...\n"
]
}
],
"source": [
"str(t)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"#install.packages(\"ggplot2\", repos = \"http://cran.rstudio.com/\")"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"library(ggplot2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Check if target variable follows normal distribution"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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AHJC0hKQAKSF5CUgAQkLyApAQlIXkBS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\ndiBpASlc7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"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ggplot(t,aes(Sales)) + geom_histogram(bins=20)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Remove data on days of when store is closed."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Check if store is closed then sales is zero or not (using boxplot)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Remember for box plot we sould always have one factor variable and 1 continous variable"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"t$Open = as.factor(t$Open)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Y71EBVCCkFIaly1IyQIlLjYQEjIzodU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\nAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ggplot(t,aes(Open,Sales)) + geom_boxplot()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Check if store is closed then sales is zero or not (using formula)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<table>\n",
"<thead><tr><th scope=col>Group.1</th><th scope=col>x</th></tr></thead>\n",
"<tbody>\n",
"\t<tr><td>0 </td><td> 0.000</td></tr>\n",
"\t<tr><td>1 </td><td>6955.514</td></tr>\n",
"</tbody>\n",
"</table>\n"
],
"text/latex": [
"\\begin{tabular}{r|ll}\n",
" Group.1 & x\\\\\n",
"\\hline\n",
"\t 0 & 0.000\\\\\n",
"\t 1 & 6955.514\\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"Group.1 | x | \n",
"|---|---|\n",
"| 0 | 0.000 | \n",
"| 1 | 6955.514 | \n",
"\n",
"\n"
],
"text/plain": [
" Group.1 x \n",
"1 0 0.000\n",
"2 1 6955.514"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"aggregate(t$Sales,by = list(t$Open),FUN=mean)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Now as sales is zero on days when store is closed, remove those observations"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"t_open <- t[t$Open==1,]\n",
"t_closed <- t[t$Open==0,]"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<table>\n",
"<thead><tr><th></th><th scope=col>Store</th><th scope=col>DayOfWeek</th><th scope=col>Date</th><th scope=col>Sales</th><th scope=col>Customers</th><th scope=col>Open</th><th scope=col>Promo</th><th scope=col>StateHoliday</th><th scope=col>SchoolHoliday</th></tr></thead>\n",
"<tbody>\n",
"\t<tr><th scope=row>292</th><td>292 </td><td>5 </td><td>2015-07-31</td><td>0 </td><td>0 </td><td>0 </td><td>1 </td><td>0 </td><td>1 </td></tr>\n",
"\t<tr><th scope=row>876</th><td>876 </td><td>5 </td><td>2015-07-31</td><td>0 </td><td>0 </td><td>0 </td><td>1 </td><td>0 </td><td>1 </td></tr>\n",
"\t<tr><th scope=row>1407</th><td>292 </td><td>4 </td><td>2015-07-30</td><td>0 </td><td>0 </td><td>0 </td><td>1 </td><td>0 </td><td>1 </td></tr>\n",
"\t<tr><th scope=row>1991</th><td>876 </td><td>4 </td><td>2015-07-30</td><td>0 </td><td>0 </td><td>0 </td><td>1 </td><td>0 </td><td>1 </td></tr>\n",
"\t<tr><th scope=row>2522</th><td>292 </td><td>3 </td><td>2015-07-29</td><td>0 </td><td>0 </td><td>0 </td><td>1 </td><td>0 </td><td>1 </td></tr>\n",
"\t<tr><th scope=row>3106</th><td>876 </td><td>3 </td><td>2015-07-29</td><td>0 </td><td>0 </td><td>0 </td><td>1 </td><td>0 </td><td>1 </td></tr>\n",
"</tbody>\n",
"</table>\n"
],
"text/latex": [
"\\begin{tabular}{r|lllllllll}\n",
" & Store & DayOfWeek & Date & Sales & Customers & Open & Promo & StateHoliday & SchoolHoliday\\\\\n",
"\\hline\n",
"\t292 & 292 & 5 & 2015-07-31 & 0 & 0 & 0 & 1 & 0 & 1 \\\\\n",
"\t876 & 876 & 5 & 2015-07-31 & 0 & 0 & 0 & 1 & 0 & 1 \\\\\n",
"\t1407 & 292 & 4 & 2015-07-30 & 0 & 0 & 0 & 1 & 0 & 1 \\\\\n",
"\t1991 & 876 & 4 & 2015-07-30 & 0 & 0 & 0 & 1 & 0 & 1 \\\\\n",
"\t2522 & 292 & 3 & 2015-07-29 & 0 & 0 & 0 & 1 & 0 & 1 \\\\\n",
"\t3106 & 876 & 3 & 2015-07-29 & 0 & 0 & 0 & 1 & 0 & 1 \\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"| <!--/--> | Store | DayOfWeek | Date | Sales | Customers | Open | Promo | StateHoliday | SchoolHoliday | \n",
"|---|---|---|---|---|---|\n",
"| 292 | 292 | 5 | 2015-07-31 | 0 | 0 | 0 | 1 | 0 | 1 | \n",
"| 876 | 876 | 5 | 2015-07-31 | 0 | 0 | 0 | 1 | 0 | 1 | \n",
"| 1407 | 292 | 4 | 2015-07-30 | 0 | 0 | 0 | 1 | 0 | 1 | \n",
"| 1991 | 876 | 4 | 2015-07-30 | 0 | 0 | 0 | 1 | 0 | 1 | \n",
"| 2522 | 292 | 3 | 2015-07-29 | 0 | 0 | 0 | 1 | 0 | 1 | \n",
"| 3106 | 876 | 3 | 2015-07-29 | 0 | 0 | 0 | 1 | 0 | 1 | \n",
"\n",
"\n"
],
"text/plain": [
" Store DayOfWeek Date Sales Customers Open Promo StateHoliday\n",
"292 292 5 2015-07-31 0 0 0 1 0 \n",
"876 876 5 2015-07-31 0 0 0 1 0 \n",
"1407 292 4 2015-07-30 0 0 0 1 0 \n",
"1991 876 4 2015-07-30 0 0 0 1 0 \n",
"2522 292 3 2015-07-29 0 0 0 1 0 \n",
"3106 876 3 2015-07-29 0 0 0 1 0 \n",
" SchoolHoliday\n",
"292 1 \n",
"876 1 \n",
"1407 1 \n",
"1991 1 \n",
"2522 1 \n",
"3106 1 "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"head(t_closed)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"'data.frame':\t844392 obs. of 9 variables:\n",
" $ Store : int 1 2 3 4 5 6 7 8 9 10 ...\n",
" $ DayOfWeek : int 5 5 5 5 5 5 5 5 5 5 ...\n",
" $ Date : Factor w/ 942 levels \"2013-01-01\",\"2013-01-02\",..: 942 942 942 942 942 942 942 942 942 942 ...\n",
" $ Sales : int 5263 6064 8314 13995 4822 5651 15344 8492 8565 7185 ...\n",
" $ Customers : int 555 625 821 1498 559 589 1414 833 687 681 ...\n",
" $ Open : Factor w/ 2 levels \"0\",\"1\": 2 2 2 2 2 2 2 2 2 2 ...\n",
" $ Promo : int 1 1 1 1 1 1 1 1 1 1 ...\n",
" $ StateHoliday : Factor w/ 4 levels \"0\",\"a\",\"b\",\"c\": 1 1 1 1 1 1 1 1 1 1 ...\n",
" $ SchoolHoliday: int 1 1 1 1 1 1 1 1 1 1 ...\n"
]
}
],
"source": [
"str(t_open)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plot histogram after removing sales on closed days data"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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UhyQIoBCUhyQIoBCUhyQIoBCUhyQIoB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\nCghIRAX0/3sDHDU5p6vHAAAAAElFTkSuQmCC",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ggplot(t_open,aes(Sales)) + geom_histogram(bins=40)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
" Min. 1st Qu. Median Mean 3rd Qu. Max. \n",
" 0 4859 6369 6956 8360 41550 "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"summary(t_open$Sales)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Using Z-scores check number of values out of 3 SD"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"3104.21468042835"
],
"text/latex": [
"3104.21468042835"
],
"text/markdown": [
"3104.21468042835"
],
"text/plain": [
"[1] 3104.215"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sd(t_open$Sales)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Fitler observations below 3 SD 6956+(3*3104) - number of values beyond 3 SD"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"0"
],
"text/latex": [
"0"
],
"text/markdown": [
"0"
],
"text/plain": [
"[1] 0"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"t_outliers = t_open[t_open$Salies > 16268,]\n",
"nrow(t_outliers)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Square root transformation - our hist looks better after this\n",
"Note: The square root, x to x^(1/2) = sqrt(x), is a transformation with a moderate effect on distribution shape: it is weaker than the logarithm and the cube root. It is also used for reducing right skewness, and also has the advantage that it can be applied to zero values."
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [],
"source": [
"t_open$Sales_sq=sqrt(t_open$Sales)"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"`stat_bin()` using `bins = 30`. Pick better value with `binwidth`.\n"
]
},
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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khFgdQcSCAVBVJzIIFUFEjNgQRSUSA1\nBxJIRYHUHEggFQVScyCBVBRIzYEEUlEgNQcSSEWB1BxIIBUFUnMggVQUSM2BBFJRIDUHEkhF\ngdQcSCAVBVJzIIFUFEjNgQRSUSA1BxJIRYHUHEggFQVScyCBVBRIzYEEUlEgNQcSSEWB1BxI\nIBUFUnMggVTUxEO6eN/S8Sv/HqRaIOWaMki9h37nzvjdJz90Nki1QMo1ZZCu75zsHSDVAinX\nlEH6n5/6VOcDn4o+9wRItUDKNWWQer3t62lAIIH0/KYPUouBBNJK0wfp4L979XlLgVQLpFzT\nB+nyzj+78hcjkGqBlGv6IL304sW0IJBAel7TB+n7trflCCSQTjR9kN5+FUgNgZRr+iA9/IrP\nHAPplEDKNX2QLvzxztkXbOoHUi2Qck0fpJ86EUi1QMo1fZBaDCSQVgIJpAikXNMH6YITgVQL\npFzTB+nCfj/1Q51/+SGQaoGUa/ogLbV458v2gFQLpFzTCqmqPvhvQaoFUq7phfTZvwtSLZBy\nTS2ko29/FUi1QMo1fZCWvhn7r1/V+XAa0pEDwzdfzRVce4iOt3u6+Wr+9Fc405Ce98fPrTZf\naS3vb67o0TBELc93eM3zPTUA0o8t9S+uO5qGdPTY8HWrbsG1h2ix3dOtOt+ZhlQ6X2lnen+l\nTcx8zw6A1GKe2o2w5/3xntrlGsVrpON/ed+f7O+C9F2BlGsKId37o/3/1e4N94JUD6Rc0wdp\n91nn/8Z/3/EbrzjLN2TrgZRr+iD9m9fG7/z1+b4hWw+kXNMH6WW/tnT80MtBqgVSrumD9NJl\nSB8GqR5IuaYP0vJTu795lad29UDKNX2Qdp91/o07dtx4/lkPgVQLpFzTB6m694L+l79/5E/S\njkAC6URTCKnq7r/33m/5hux3B1KuKYR04OYvVdXv3/C3INUDKdf0Qdr/ms5vVdUNnfP/CqRa\nIOWaPkjvfsmX+v+L/l+cdwlItUDKNX2QXrb8n558+JUg1QIp1/RBOvf6peNHzgWpFki5pg/S\n2390LhD8yE+CVAukXNMH6c++942/++e7b3nTC74MUi2Qck0fpGrH6/vfkP3B29KOQALpRFMI\nqTr64G2f3zWfdwQSSCeaRkitBRJIK4EEUgRSLpBAikDKBRJIEUi5QAIpAikXSCBFIOUCCaQI\npFwggRSBlAskkCKQcoEEUgRSLpBAikDKBRJIEUi5QAIpmjhIA2rtDoM0bCCVBFIukECKQMoF\nEkgRSLlAAikCKRdIIEUg5QIJpAikXCCBFIGUCySQIpBygQRSBFIukECKQMoFEkgRSLlAAikC\nKRdIIEUg5QIJpAikXCCBFIGUCySQIpBygQRSBFIukECKQMoFEkgRSLlAAikCKRdIIEUg5QIJ\npAikXCCBFIGUCySQIpBygQRSBFIukECKQMoFEkgRSLlAAikCKRdIIEUg5QIJpAikXCCBFIGU\nCySQIpBygQRSBFIukECKQMoFEkgRSLlAAikCKRdIIEUg5QIJpAikXCCBFIGUCySQIpBygQRS\nBFIukECKQMoFEkgRSLlAAikCKRdIIEUg5QIJpAikXCCBFIGUCySQIpBygQRSBFIukECKQMoF\nEkgRSLlAAikCKRdIIEUg5QIJpAikXCCBFIGUCySQIpBygQRSBFIukECKQMoFEkgRSLlAAikC\nKRdIIEUg5QIJpAikXCCBFIGUCySQIpBygQRSBFIukECKQMoFEkgRSLlAAikCKRdIIEUg5QIJ\npAikXCCBFIGUCySQIpBygQRSBFIukECKQMoFEkgRSLlAAikCKRdIIEUg5QIJpAikXCDV6y70\nq6rFW6/YdnN38BGksdXaHQZp2NYA6Y6ZXhdW1e2XPLD7spsGH0EaW63dYZCGbQ2QPn3jvl5V\nd+s9VbVry7ODjiCNr9buMEjDtgZIV++Iw/6ZJ3tKZvYOOoI0vlq7wyAN2xogvfeGyy+94Ylq\nz0z/ddDmXYOOfUMf77VzYfiOVccKrj1Ei+2ebtX5xi1oudbucOv7e67dE7Y839E1zzdfDunQ\nzPXf+No1s3M7L+r/avbuQcfemwObet008EwbsHELWm7ca5i+Tn5xbWhI3Sd7Nzr0ri8vf+a5\nf9Cxf9WHez1+cPiOVPMF1x6i4+2ebn61+cYtaLnW7nDL+5urjrR7wtbnW1jjLQ+UQ1rqqi/u\nn+k9L1zovyZqPq5c02ukM19rd9hrpGErh7TnA09X1ZF3f7W79b6qenDzwqAjSOOrtTsM0rCV\nQ5qf/eievde9/1h12+y+R67cXg08gjS2WrvDIA1bOaTqsWu3vO+TveeEi7dcvm17d/ARpLHV\n2h0GadjWAKkwkM58rd1hkIYNpJJAygUSSBFIuUACKQIpF0ggRSDlAgmkCKRcIIEUgZQLJJAi\nkHKBBFIEUi6QQIpAygUSSBFIuUACKQIpF0ggRSDlAgmkCKRcIIEUgZQLJJAikHKBBFIEUi6Q\nQIpAygUSSBFIuUACKQIpF0ggRSDlAgmkCKRcIIEUnYQ0biqnr7U7DNKwgVQSSLlAAikCKRdI\nIEUg5QIJpAikXCCBFIGUCySQIpBygQRSBFIukECKQMoFEkgRSLlAAilaL5CaW8MdBmnYQCoJ\npFwggRSBlAskkCKQcoEEUgRSLpBAikDKBRJIEUi5QAIpAikXSCBFIOUCCaQIpFwggRSBlAsk\nkCKQcoEEUgRSLpBAikDKBRJIEUi5QAIpAikXSCBFIOUCCaQIpFwggRSBlAskkCKQcoEEUgRS\nLpBAikDKBRJIEUi5QAIpAikXSCBFIOUCCaQIpFwggRSBlAskkCKQcoEEUgRSLpBAikDKBRJI\nEUi5QAIpAikXSCBFIOUCCaQIpFwggRSBlAskkCKQcoEEUgRSLpBAikDKBRJIEUi5QAIpAikX\nSCBFIOUCCaQIpFwggRSBlAskkCKQcoEEUgRSLpBAikDKBRJIEUi5QAIpAikXSCBFIOUCCaQI\npFwggRSBlAskkCKQcoEEUgRSLpBAikDKBRJIEUi5QAIpAikXSCBFIOUCCaQIpFwggRSBlAsk\nkCKQcoEEUgRSLpBAikDKBRJIEUi5QAIpAikXSCBFIOUCCaQIpFwggRSBlAskkCKQcoEEUgRS\nLpBAikDKBRJIEUi5QAIpAikXSCBFIOUCCaQIpFwggRSBlAskkCKQcoEEUgRSLpBAikDKBVKi\nIweGb76aK7j2EB1v93Tz1fzye+NGsZbWcIdb3t9c0aNhiFqe7/Ca53tq9JCOHhu+btUtuPYQ\nLbZ7upPzjRvFWlrDHR7Z/lpqYuZ7dvSQPLWblNZwhz21GzaQSgIpF0ggRSDlAgmkCKRcIIEU\ngZQLJJAikHKBBFK0viEN6AzuDySQIpBygQRSBFIukECKQMoFEkgRSLlAAikCKRdIIEUg5QIJ\npAikXCCBFIGUCySQIpBygQRSBFIukECKQMoFEkgRSLlAAikCKRdIIEUg5QIJpAikXCCBFIGU\nCySQIpBygQRSBFIukECKQMoFEkgRSLlAAikCKRdIIEUg5QIJpAikXCCBFIGUCySQIpBygQRS\nBFIukECKQMoFEkgRSLlAAikCKRdIUwxp3I/zkTfi/dUDCaSN24j3Vw8kkDZuI95fPZBA2riN\neH/1QAJp4zbi/dUDCaSN24j3Vw8kkDZuI95fPZBA2riNeH/1QAJp4zbi/dUDCaSN24j3Vw8k\nkDZuI95fPZBA2riNeH/1QAJp4zbi/dUDCaSN24j3Vw8kkDZuI95fPZBA2riNeH/1QAJp4zbi\n/dUDCaRpq7X91QMJpGmrtf3VAwmkaau1/dUDCaRpq7X91QMJpGmrtf3VAwmkaau1/dUDCaRp\nq7X91QMJpGmrtf3VAwmkaau1/dUDCaRpq7X91QMJpGmrtf3VAwmkaau1/dUDCaRpq7X91QMJ\npGmrtf3VAwmkaau1/dUDCaRpq7X91QMJpGmrtf3VAwmkaau1/dUDCaRpq7X91QMJpGmrtf3V\nAwmkaau1/dUDCaRpq7X91QMJpGmrtf3VAwmkaau1/dUDCaRpq7X91QMJpGmrtf3VAwkkRbld\nggSSotwuQQJJUW6XIIGkKLdLkEBSlNslSCApyu0SJJAU5XYJEkiKcrsECSRFuV2CBJKi3C5B\nAklRbpcggaQot0uQQFKU2yVI0wBp3I/RdVHuwwESSIpyHw6QQNJpGnbFIIGk0zTsikECSadp\n2BWDBJJO07ArBgkknaZhVwwSSDpNw64YJJB0moZdMUgg6TQNu2KQQFJ5p6wYJJBU3ikrBgkk\nlXfKikECSeWdsmKQQFJ5p6wYJJBU3ikrBgkklXfKikHaWJDG/QCb7tr8+ILUHEhTUJsf3w0N\nafHWK7bd3AVJzbX58d3QkG6/5IHdl90Ekppr8+O7kSF1t95TVbu2PAuSSlrTx3cjQ9o/82RP\nz8xekFTSmj6+GxnSnpn+66PNu/qGPt5r58LwHauOFVx79cb94NCIWvkAL7b6cFk4Wj23xlvO\ntw9p50X9t7N3994c2NTrplWuL63/Tn5xre3PSPf3z/5wr8cPDt+Rar7g2kN0vN3TzU/8fEfa\nPWHL881N/HwLa7zlgfYh7Z/pPV9cmOjXSGvucHW43RO2PN+hiZ/Pv2wYuu7W+6rqwc0LIA0R\nSLk2MqTqttl9j1y5/cQvQTpNIOXa0JAWb7l82/aJ/pcNaw6kXCAlAuk0gZQLpOZAygVSLpAG\nBVIukIYNpJJAygUSSBFIuUACKQIpF0ggRSDlAgmkCKRcIIEUgZQLJJAikHKBBFIEUi6QQIpA\nygUSSBFIuUACKQIpF0ggRSDlAgmkCKRcIIEUgZQLJJAikHKBBFIEUi6QQIpAygUSSBFIuUAC\nKQIpF0ggRSDlAgmkCKRcIIEUgZQLJJAikHKBBFIEUi6QQIpAygUSSBFIuUA6Q5D2bP/6Wu9I\ncy1/3P7X9r9o94Qtz/eN7Q+1e8KW59u7fXe7J2x9vj9f601HD6mkP9z0x+Me4bTduemPxj3C\nabt7038d9win7Uubbhv3CKftTzd9Pn0OkIYIpFwgnaFAygVSLpDOUCDlAukMdfSZY+Me4bQd\nfebouEc4bcfMl+q5FuabCEjSeg8kqYVAklpoAiAt3nrFtpu7455iQN2FfpM6ZPfSA9XJ2SZv\nxqX5JnWHhz8ze/HHnmhpfxMA6fZLHth92U3jnmJAd8z0unBChzx6y0z/gboy28TNuDzfpO7w\nE1fu2Xfd7Fw7+xs/pO7We6pq15Znxz1Hc5++cV+vyRzyrnfO9B+oK7NN3IzL803qDudmHqqq\nI+/e2c7+xg9p/8yTVTU/s3fcczR39Y44TOSQTz+2q/9AXZlt4mZcnm9Sd/j/Pnio93TuvX/U\nzv7GD2nPTP9p6eZd456juffecPmlNzwxqUM+2n+grsw2gTPGfBO9wz+beaSd/Y0f0s6L+m9n\n7x73HI0dmrn+G1+7ZnZuQoeMB+rKbBM4Y8w3wTvs7rjwP7e0v/FDWv6L4P5xz9FY98necIfe\n9eUJHbL+Gen+CZwx5pvcHT72y5vvWmxpf+OHtH/mO1W1MDlPnRu66osTOuSjS6+RlmabwBmX\nntpFE7jDvRfd0B+vnf2NH1J3631V9eDmhXHP0dieDzzd/8rOVyd0yKW/8Zdnm8AZlz5jTugO\nj73vvyz2j+3sb/yQqttm9z1y5fZxT9Hc/OxH9+y97v3HJnTIpb/xV2abvBljvknd4Z6ZrzzU\n66/b2d8EQFq85fJt2yfoG97f1WPXbnnfJw9M6pBLkFZmm7wZl+ab0B3eORP9cTv7mwBI0voP\nJKmFQJJaCCSphUCSWggkqYVAkloIJKmFQJJaCKT10rHP/vPzznnzdU9/14Vv+4kxTaPnBdI6\nqfuOzls+eu3Pdl5/sH4pSJMSSOuk3+tc2/+3ynd2frl+KUiTEkjrpG2dpU9F/+jN9UtBmpRA\nWie9p/O/4/jtv+y9+cI/PefFb/zM4jKkv9rymu//if5/MPLMNT/8otf9h0P1m528aMdbX/KP\nf/uezndOObPaCKR10m2dc3/t0eX3/1tn040ffmPnD5Yg/Z9zzv+P172h89mqmvmen//Yz3Qu\nq9/sxEW/0/kH11x19htBGlEgrZMWf/OcTud1v3BH/+cm/PwrjlTVwvdvW4L00699qqqOvvXs\nZw7G66eLX7948lYnLnr6B97U+7T04AtAGlEgrZuO3POhH+t0XvlAVX2nJ6f627MvDkiHOx85\n2OvznXsPv+DNjz/vNicuurPzh/3DT4M0okBaVz36S2e99Jmq+r9fuPpfvaizBOnrneVurT7x\nvd/z1l/fvVi/wcpFn+x8q//La0AaUSCtj+Yu/N2ldz7Subv6zFkv37b9m69egrSnc/XO6NtV\ntf+33vGizsxz9RsuX3TjEqRfB2lEgbROetnblo6f6/yPuRf+wvHei6bzliAd7Pxq//LH75t7\n6uu9l0HP/FLnrpO3OnHRFzt39H/9cyCNKJDWSbOdT/f0VE+/6UUH9nb+U++92zubl77Y8JZz\ne5+LnvvJlz/3p53f7F2+o3PnyVuduOjbL+p/seEhX2wYVSCtkw7+cOeCbb/ynnM6f1A9+8q/\nM3v9z577mh/4XEB66Pv+3gevvqDzhWr+h1645WOXnvO62j/HO3nRdZ2//6u/+OJ/CNKIAmm9\nNP+JH3/p2W/Y+s3eu998x0te/Z7HvvKaLUvfkH34585/yVvu6b3zrc0/+MLXXvFY/VYnLlrc\n/k9e/Obf+W2QRhRIUxVIowqkqQqkUQXSxuv3zzvRrzzvt0AaVSBNVSCNKpCkFgJJaiGQpBYC\nSWohkKQWAklqIZCkFgJJaiGQpBYCSWqh/w/PEOrR8sI4AgAAAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ggplot(t_open,aes(Sales_sq)) + geom_histogram()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Check input variables"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Find missing values"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"0"
],
"text/latex": [
"0"
],
"text/markdown": [
"0"
],
"text/plain": [
"[1] 0"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sum(is.na(t_open$DayOfWeek))"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"0"
],
"text/latex": [
"0"
],
"text/markdown": [
"0"
],
"text/plain": [
"[1] 0"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sum(is.na(t_open$Customers))"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"0"
],
"text/latex": [
"0"
],
"text/markdown": [
"0"
],
"text/plain": [
"[1] 0"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sum(is.na(t_open$Promo))"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"0"
],
"text/latex": [
"0"
],
"text/markdown": [
"0"
],
"text/plain": [
"[1] 0"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sum(is.na(t_open$StateHoliday))"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"0"
],
"text/latex": [
"0"
],
"text/markdown": [
"0"
],
"text/plain": [
"[1] 0"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sum(is.na(t_open$SchoolHoliday))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Divide the data into train and test data"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"set.seed(7)\n",
"ids = sample(nrow(t_open),nrow(t_open)*0.8)\n",
"train=t_open[ids,]\n",
"test=t_open[-ids,]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Build linear model"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<ol class=list-inline>\n",
"\t<li>'Store'</li>\n",
"\t<li>'DayOfWeek'</li>\n",
"\t<li>'Date'</li>\n",
"\t<li>'Sales'</li>\n",
"\t<li>'Customers'</li>\n",
"\t<li>'Open'</li>\n",
"\t<li>'Promo'</li>\n",
"\t<li>'StateHoliday'</li>\n",
"\t<li>'SchoolHoliday'</li>\n",
"\t<li>'Sales_sq'</li>\n",
"</ol>\n"
],
"text/latex": [
"\\begin{enumerate*}\n",
"\\item 'Store'\n",
"\\item 'DayOfWeek'\n",
"\\item 'Date'\n",
"\\item 'Sales'\n",
"\\item 'Customers'\n",
"\\item 'Open'\n",
"\\item 'Promo'\n",
"\\item 'StateHoliday'\n",
"\\item 'SchoolHoliday'\n",
"\\item 'Sales\\_sq'\n",
"\\end{enumerate*}\n"
],
"text/markdown": [
"1. 'Store'\n",
"2. 'DayOfWeek'\n",
"3. 'Date'\n",
"4. 'Sales'\n",
"5. 'Customers'\n",
"6. 'Open'\n",
"7. 'Promo'\n",
"8. 'StateHoliday'\n",
"9. 'SchoolHoliday'\n",
"10. 'Sales_sq'\n",
"\n",
"\n"
],
"text/plain": [
" [1] \"Store\" \"DayOfWeek\" \"Date\" \"Sales\" \n",
" [5] \"Customers\" \"Open\" \"Promo\" \"StateHoliday\" \n",
" [9] \"SchoolHoliday\" \"Sales_sq\" "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"names (t_open)"
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {},
"outputs": [],
"source": [
"pred = lm(Sales_sq ~ Customers + DayOfWeek + Promo + StateHoliday, data=train)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Model summary "
]
},
{
"cell_type": "code",
"execution_count": 69,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"\n",
"Call:\n",
"lm(formula = Sales_sq ~ Customers + DayOfWeek + Promo + StateHoliday, \n",
" data = train)\n",
"\n",
"Residuals:\n",
" Min 1Q Median 3Q Max \n",
"-139.286 -5.885 -0.304 5.732 101.972 \n",
"\n",
"Coefficients:\n",
" Estimate Std. Error t value Pr(>|t|) \n",
"(Intercept) 5.440e+01 3.855e-02 1410.917 < 2e-16 ***\n",
"Customers 3.278e-02 2.936e-05 1116.536 < 2e-16 ***\n",
"DayOfWeek -4.630e-01 7.010e-03 -66.050 < 2e-16 ***\n",
"Promo 8.523e+00 2.460e-02 346.438 < 2e-16 ***\n",
"StateHolidaya -1.187e+01 3.981e-01 -29.817 < 2e-16 ***\n",
"StateHolidayb -1.876e+01 8.600e-01 -21.816 < 2e-16 ***\n",
"StateHolidayc -8.524e+00 1.236e+00 -6.895 5.37e-12 ***\n",
"---\n",
"Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
"\n",
"Residual standard error: 9.493 on 675506 degrees of freedom\n",
"Multiple R-squared: 0.705,\tAdjusted R-squared: 0.705 \n",
"F-statistic: 2.691e+05 on 6 and 675506 DF, p-value: < 2.2e-16\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"summary(pred)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Build linear model with school holiday variable"
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"pred2 = lm(Sales_sq ~ Customers + DayOfWeek + Promo + StateHoliday + SchoolHoliday, data=train)"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"\n",
"Call:\n",
"lm(formula = Sales_sq ~ Customers + DayOfWeek + Promo + StateHoliday + \n",
" SchoolHoliday, data = train)\n",
"\n",
"Residuals:\n",
" Min 1Q Median 3Q Max \n",
"-139.151 -5.881 -0.299 5.727 101.625 \n",
"\n",
"Coefficients:\n",
" Estimate Std. Error t value Pr(>|t|) \n",
"(Intercept) 5.427e+01 3.958e-02 1371.213 < 2e-16 ***\n",
"Customers 3.278e-02 2.936e-05 1116.428 < 2e-16 ***\n",
"DayOfWeek -4.494e-01 7.075e-03 -63.520 < 2e-16 ***\n",
"Promo 8.527e+00 2.460e-02 346.648 < 2e-16 ***\n",
"StateHolidaya -1.185e+01 3.980e-01 -29.770 < 2e-16 ***\n",
"StateHolidayb -1.906e+01 8.601e-01 -22.156 < 2e-16 ***\n",
"StateHolidayc -8.862e+00 1.236e+00 -7.168 7.59e-13 ***\n",
"SchoolHoliday 4.180e-01 2.952e-02 14.160 < 2e-16 ***\n",
"---\n",
"Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
"\n",
"Residual standard error: 9.491 on 675505 degrees of freedom\n",
"Multiple R-squared: 0.7051,\tAdjusted R-squared: 0.7051 \n",
"F-statistic: 2.307e+05 on 7 and 675505 DF, p-value: < 2.2e-16\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"summary (pred2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## From #7 and #8 we come to know that adding 'School holiday' doesn't make any difference (see R-sqaured value it is almost same for both models)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Model validation"
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"library(MASS)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Errors in normal distribution"
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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48HBga2SlUAAADtAmbFQtsiJSUVFRU1ePDg0tLS6dOnd+7c+c2bN+fOnZs/f/7w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",
"text/plain": [
"Plot with title “”"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot(pred,which=1)"
]
},
{
"cell_type": "code",
"execution_count": 81,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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IsRIUcQki5GhBxBSLoYEXIEIeliRMgR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\nIQEG/A8KwN9ZVHKh3AAAAABJRU5ErkJggg==",
"text/plain": [
"Plot with title “Histogram of pred$residuals”"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"hist(pred$residualsiduals)"
]
},
{
"cell_type": "code",
"execution_count": 76,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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XCAIAFwgCABWBW+v2jhP2Y/7/uqYm4g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\n59MwCpJzv6p6VwPhSu0+0tDPA19m4XBfywyfIKF/YvALl8Pfe19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AnNTVcts1VacCRLq/C5Iw+D5EZJDep+eZ/m+coPpOGqnXsotI6t5v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\nPyQ/xYW1FVqBAAAAAElFTkSuQmCC",
"text/plain": [
"Plot with title “”"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot(pred,which=2)"
]
},
{
"cell_type": "code",
"execution_count": 86,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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y6X6+joaGxs3Fy7/I2xsbHp6ekzZ870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T6ebmhjphBQKBqakph8M5e/YscltWS/4h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\nQtGwYcOJE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7UeP/PseVnsdCu6o+Fav6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\nAQAAAIgEbsUCAAAAiMT/BXDnv8cUoAK1AAAAAElFTkSuQmCC",
"text/plain": [
"Plot with title “”"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot(pred,which=3)"
]
},
{
"cell_type": "code",
"execution_count": 87,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"5.9214870038164e-06"
],
"text/latex": [
"5.9214870038164e-06"
],
"text/markdown": [
"5.9214870038164e-06"
],
"text/plain": [
"[1] 5.921487e-06"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#leverages\n",
"cd = cooks.distance(pred)\n",
"cutoff = 4 /(nrow(train) - length(pred$coefficients))\n",
"cutoff"
]
},
{
"cell_type": "code",
"execution_count": 80,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Warning message in plot.window(...):\n",
"“\"levels\" is not a graphical parameter”Warning message in plot.xy(xy, type, ...):\n",
"“\"levels\" is not a graphical parameter”Warning message in axis(side = side, at = at, labels = labels, ...):\n",
"“\"levels\" is not a graphical parameter”Warning message in axis(side = side, at = at, labels = labels, ...):\n",
"“\"levels\" is not a graphical parameter”Warning message in box(...):\n",
"“\"levels\" is not a graphical parameter”Warning message in title(...):\n",
"“\"levels\" is not a graphical parameter”Warning message in title(sub = sub.caption, ...):\n",
"“\"levels\" is not a graphical parameter”"
]
},
{
"data": {
"image/png": 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2hskDYxoFTI+qgBkqUBUvRFC+k4+rdy+LTNP9cOkEwCpOiLFtLaTJr4wNL7j6ec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"text/plain": [
"Plot with title “”"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot(pred,which=4,levels = cutoff)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## heteroscedasticity"
]
},
{
"cell_type": "code",
"execution_count": 83,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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vqRvA3BoXW6NK1XA2COsbrnaj9VIqMZbaskUV4AHE5I0fOtG4GrFwWJrbkj9fWA\nfA+Qh56T5MP/GHOsojw/+kg9IcssSA4ztzET1MnANH2JiXWuNF0ATSyPy4EL09iMOCdpaI9B\n0R4AZjQlSK7P+lF3qiUZhxNS5aly8M9nzpsvaCyzJxapJedb77Hjr5K0z0KrZuu7pF/+nLt0\nmMG5e0gS/IadOjUsIWRvuKgtFTewj59OD8N4xCKTdaAcs7URINaF0QLyyDUF6fbP1EKoJOFw\nQhouvYHdXwZY0E5Yxgw5dPnwUHaZfGa7D3gKTPfMBf0efDsiQg1O+jptNI/rSGzDmWBWU5Bn\nM5G/5zC9TSBWXK7iCcQ4aTEP4KEqVxNYcZ8FFIQxt3Td4YdZsfi8vPgNYZttlUhKkVMcQrp5\n6Pe8Z3RnYUMhnVJPzdjJ9j8Y0Wy9W+td0WKNUe4j66nUY5v3ZS0wttNHrGag8qoaYhONZXLp\niN2MQCMAg9pYLk7jNMYjb4DOOhYBagBBtXpEBYyMEI95V4AoUPkj/z3WL3+H6f3tlWMT+Bm2\nSiWlqClKIS2XnWX/UVcsbMKQ/FdyJbZ9j/SBNkFfp49zpRvkhPDagKrle3+b11W72b7CSnIi\nMfRmL6mVZhByCIlhagNbXsVyjR7+8o00SMG5O92tAMhP1CUyY9CKNVNoVX9p0hJafOmjWYlC\nYt+q5Opw7jP5y2+4TJfD99j/2SyZlKKlKIVUWfrDiyYI7dy9LJQtyCuiTS0bTrXBEa1XSs2s\nsqjepMn1mXGPX5MRNmRKuYefzp/uMfEuOCMW566TsPw/464Rt6v//BfM8Cgrj+VlDetJVuK+\nSDytDhIPok7T4sSv7WcZWt/kYm3kJYy3XTIpRUqRC6kbTBF78xlzYFIBV9rWRGhFqCXcxMqL\nuOxWbXzskhNwtm2LICEmnkGmR+N0uYbAXcSPyZfvfVeHM0JpnXTVowulXZ63GtqpWOTqLK3a\nfBIkR/xkYpL1Nv1a2zCZlKKkyIUUUkYevsqILF/AlbYV0nofSxhVpbocvlKWkAs7l+/P5plk\nt0Dqcy9dT2stNt/ylhGW3slyRs2m2VWk6gplWoWjzBoJuCC12MZD2DyJ1Y93Qs3Er81gP5W+\nfVoV6216tc8VNWrtYK8UuZA0HSw7HTW5zl6oEpeFH9jS3c6vsqtGcgsiJfvru1u6wuyOrC6M\n18/LuuRrdCdSn0FeM00Ods9TR6J2MOIGf4wt1qwMOKkMAO4IMAu5Kic0tKswwIy8xK9NAXlJ\nsY80Ur/qq25xQrns68deGRzGutbbZ8OUU2xGkQsp2mrKluSX6+yd11/NormCNdKlN3p3n5vT\nH2PdiinkswZmQN2ukK99nKuAGvXJIA9Wal4l5Oa/0hV3dRs03EoS8Fodrzx1JI3LiXXN26cg\nuYVBbr9ZnBnL/1mrJE+NvKGRRRXjgsRO4Tq93DN8ENw1nUxgWjQQWqs6ZlVCf3mXXfLFtpeY\nOYolnVJ0FK2Qhi39dCaS3ByQndCugCsVbNpt0we171aGm5/92MUIn9q4fFmoFen9hVPvOx/y\nwmv8GvH4JtXEIACXXpcJGW+G8Uxn6Ixw3kISxYHNAWumQJBUI4nVkDRbCbJVRJjhLPLSYKvE\nzpEfzBMtETjsXKk3O6wx/y45bno1M1ZV6sgqewcfUSrtlKKjKIXUzjKGrBdbVS2x7tcCrlRO\nSN9zr0qmOZu4bdmP3hmETLE961e/VkZtaL+ganBz8qpXurR0nm7e4f9tivb/h6R2hEqdPSGf\ngQY/4MS0qBu394MktgkqncdVLgMYNlNyAG7iP2NDrlNm9XO2txoHtD0ubi3ysJoO/WQZiCCk\nXm+F0k4pQor0hWz6uc9XjW2TKM2Yq/pLQRcqJ6RGbS3hK6VzHH65jvjxl8lggBrt1Lj8KHIB\nfiJkBSt77b5XUZr5GlOqXDTfRKvOQ0dmt96ycgwYQmPCvDVSe06b+yKszTQZx4zsfwiF7H4U\ngQze+nL2FFgmEpKN3tZTryYolHZKEVI8JkL3/y74vHJC0lhdp56AHA4Z5RXJM6Ll/ktgLV0P\nksHsJ6SS60L57OfsVXK3KXBmlE/LDmMOEIoR1WHRD3ZhH7uG0fPWLbUkNBMWYMOjCDxA1ny/\nDNalZdb5W0+9FqdQ2ilFSAm3tbsHVruFK/Bz9uMVJB/FnzFMLVyqlbaR1vneeem8Hh3N+qsm\nbk7ZnDPkoaUACDNlGYULuc9mbmReIWgDBKy/9CgGPpaFkkTRWm08vs/08tqWeheyQ0q4kIhx\nqyU8jK5kP9xZehPaCQ3ZhCRccD4AACAASURBVCLSf/MI03Sa7JNO/mViLGfvwne7OG7Ix0K+\nQmKQgJAuv7OP/mwUaz3gjZDg5Lv0UQyGRdyRgvTkRlJw75eU9Iiu8olvWbrGuR1S0oXUsZZl\n+kKvnB2PT9lvyXYGfDjg2t9ay9dxRjWndjLo+1nO7uFu9DT2It0xVDLmFgkvDdLJ2kBalLP2\nyeJRf8nSTcJ6U3mOg7jm0uoxGR8Pa9BjUcp/wRW/eZj+c1PT74QcSGQAwqdrG++78MNsXR+F\nkk4pSkq6kP4wvHRD/MGfxH2R/WjqkZqqlgxnaqZZHswbqoBW1aJdlZc2rNVK42jkZnRHUg1+\nJXrwb5VPndM4CCBG8roqWF6/FlwvMaqXD4v7boG1LpK7jflGI7r4eH1/viniVVD5F0I+YLsf\n/PfIeH5QfVGlgW/StZPskZIuJPJtoDq+ksE1x3Itu/3BRx6Ni/6JXHbt9RJ0Pf7LA/F4Rif9\nxH3fLilV+jKpDml3ALjHJ5k/Ir83TI9U9Kin5I4lb0KCi3pVj0CxCiL3u5mvkiuf7ZYGXW6a\nJ8mxep/5JfX3a0qlm1K0lHghkYd75s784Hb2I/u4Ef+Rb3AUX8OwPpUMK+cqv+YBrErctDJO\nwMEjxe7/CLiwGixe8/Oc1vdYrVMgrFjVlPoM3K6/ySJL1fiw1PR/9uyS/bBsNVoN4SuNVSzR\nlKKm5AvpcUoPFD+2uKc4OU/Q8mE80nGDNUbBkw9lhS7pqfdSz6cTcgWb8hMJD16ZviKfqCPO\nRyVeZQSkNzQrg/YSUp+1ttz6uIBaB5X/R8jUatZ4DaQ+jO0XBxTSL3BW/NylSRunjtm5e1lL\nDbztVcHzVEbr+LFOuuV7KwugTT5KfPJUidXIu5AVkTSbQrzeUMotFoFO21m87StgGQK/aDQc\nS8/4pYnLn2RGojVifdvYLtEUG+OAQvpERcjp9SPwoq2u7TCrAqHVRpN5uTRZ6Eefht7My/t+\n29WaHwm5p/JZMVnDfE7nBQ7wRmAyoIr/ErIO5PEM0sdVmp9E0mq1ILvUFjcoGRF05rn94oBC\nOohuDWN8ahohNIBc+7KzELByaHn5va3z+21rg8URyhiMOkbmqQrZFhWSmScMNmQxuqJ1o+63\nFSqkka9gtDw71qhdI37+srY7e/pBSBfZ3G6u5gn2HpQXGAcU0h1NI5ePCblbFalmjIzRfRCW\nJNUuAbuJ7qNOpWFZBVdD7PT3ABvyUQYqpIKszEkNQ1B3YWJNsTmne3uC2GVimpwiX0OZVHKt\nOQTEAT/pkDFxxecbWnDjxrUbvuXhkxNAeQFxQCGRviBbGLzOsKENx59NdVOpMROpge5orRMv\n9mXiQrGAQGXOUxeiiNwK3UOyCs8Mvq2rsG3ukhY+Brxuupph3QB9SNKrRB4XO2wrDJPO9ArB\nvk2rcDVfbmyI/OtJ0ae8iDiikJZphNbTR1VQb27XTdxboYX6uvLxdxLAlcUIApg55+s8lVKe\nJCRplkXfMeWBTzKB7m1Crn1Uusyv5UeQrbp/CJkdQN7lLxKSTtqUkl4wXa1buiCvMJQXFUcU\n0vTIKk68a/IfZHQ9cS8prBRbHas9zICwE+DEWtjNi8tHE/Kn5ilUhKWJtGJrLo2Qz7U11f7X\njneNdKv6Mvpni7Cnc0dCvjMsIhnu68VonEDH5MjdcFldYOQpLyaOKKQGqNPyTcNNNe50k/xH\n+Gu37E42yBphMIsTzE8Y3UZR+Rqr5nGxKElvANnbykoDGrGBa7Bo6+QA2EbGMeaac9tyfTII\nSZAmyb6ROWGqc2cbJp1iKxxQSB8zSHJB8ndgH9dVYhgKBw6EgZukDj7G07kAVahkhwyPLZVU\nEGw4BhZYw2HxRj8AO42XJzxdhVhCDgS6xXWRp/oFLRc/Jle3Rm9Ew7wiTXnBcUAh1XupQ5Dk\n4XQtDpG6I5246ao+5wkZB1BhKAt8/qpA2T6fCs92KKpFeU7y4OAx7CYhe1hp9tMST3kiBTkE\nv4mfywOs0Wvd03ZJp9gMBxSSeeudpmyN3g31IFmy/tgL2Hixt/9vKUC16wLMfoo3rU/G8mVN\n7v+wcOBUDzBAwNSQqOvXIrv4rSXktn+DH1IJ+aOU7NzuDGOZiH5O+77tkk6xGQ4oJMOHYs9/\nYoeRm9EBcqIa8g4AVni5Cmd9O1TQS6JnqIxkhMh3U24FIKeleoQSXON9oq+FLSNpc93FuwVV\n4xtYLGqHSS+3yM+R1eg6SvaIAwopZpolPILOVrHI45EzVZx7zvhzY/lqrbEaxjPa8rJOk++m\n8J9mtDW9cXRBI7NqmdWKNW0Y610jBDWlEynsEkcT0r13xldz+knaSm+cFI20Y78MySzyTN42\nQc8NF6gBcAaoyJmNTE0UBqo5I30eblX/fOGhGItmFbPidmbjpBXHc0b3+vwONfu8Q+uoFx8H\nE9LXPsZajXjUZN6CJQ2Ni2AkfKB+6QSSHKc+zduhwiL1kHSuWHLLqsagnWI439ElCYEeULWf\nqwU6AV9hO/ldHmrIh+89/XtNbK1NKnANHMqLgGMJ6ZSh1x1CDsg+FVRra/FfQ2wX8rZ1NqsA\nj/vUej6kdhx24ranJ4q3g1ptu5HU6VLbEbdowKPID37dP4ydSQw7rJHb2bNSneE53GZec+su\nTdw9G04XrXjhcSwh9aosdkj+cu4w3PPrc4NUfm5rAIbu8Xu0vLLCQpK/ErmMWCK/wlUZXSoP\n2qnC6Hy5BQ+d0etShN5nftDulKOW2oFvPeuVqvzKbNGdHWQxYT0Mv9skOyjK4VhC8pecyTXy\nqlQKZqaRdlqsVkM2rwzPOihXMIivyclvpzgmyFdepuKSz5p9vMqyrE2N9sgyeWKSeUavGl3e\nXMxkW0Cw0eDMeL9lk+ygKIdjCUmzi5BVUHbmYtDWvPMFgICyJujZoDay6gghJN8kropsFuEl\ntiHrJIdVQ3vI5T1zq2mT5ZjdNwQ4dZjUwzOoXrb55tWmWDdi5j2eFsoLhWMJyX8lOcrAYXIO\nxjlXbWgj6TyuJSHT8AhxwbKm/LxQfBwbhWX1Npc8rB6FuMticLuZm/uj6Hawmt2lGrfllRrK\nC4RjCalXlYzOydzQT6oij7JI8pdaVFoSkexiGUlGYq0UZ2LQwGo8wiaVFjsFXyNkMfwpx/Cm\nnmtfrnLfH+SdbbqzcrhKS18uveg4lpBOGfqY1UjPQNSl3lKRZp/KAvVZePz7GU05EHxYVIpN\nrOzmjfoHABhrDmkElgXOHxpR1/kz6rJvSDvpSaHi03m4TLXAJrlBURDHEhI56AReiQC1fAyc\ntZAXWaUk3YiFUIByAoidJgQCdirN9jdUcrJ00yLl167DUbAUbGS+koKUTti5jGB4I3cyrsxu\nXbXXVvqe9gXCwYR0Se2VOKQGRIUXZOVtCxUJLFideblmG9Zwft2jf6p4plqE+BEp9pV2IOyU\n/OpNQto3tUT47HtL9j32OvaAOaTv1HbaJFsutEt5OhxESF/O6DF1bwYhaz3eMP+7pFRryzy+\nolRS1lZ4D8hSMc8a7/WAEDzttkFaGt1DKypt5Cj/4NNkk3v+ibls6psqBmdLt1U2kyjPgUMI\nKaUhm9i5Gl/9MplW5UHFsLFa7tGiyUWtJKSy1EgoQAt6ZOL+VUNz0xhSP0EFA1fqvYFxqbmp\nTvn0D/X5J2daWKocfodOKplLlOfBIYTUuLRkz3YmrnLGgkhyowcrzbDjirI+kuAeqUkeuxOc\nEIph9NNA4MzLSPNBE4GRXJAveWcQ35j9cnbZ/JOTPNK64bVOyVyiPA+OIKRvGcuI2N/qnUfQ\n74QsFctwEavocTLXlxU7Ry1V5zOC3kiHCi66Xyp2XOUnHvZwn5JXSlJ/++Y6IZVmWncjFymY\nS5TnwhGENC1zkbEGQ0jt+MtkcqItTL0LKyDLWKGQ2U3iWKyaS1ar/1kEC3BzcohjRoyRolf6\nQlb8M079KLvouj9WstmrfKxNd8vxB/oPcieVUlw4gpCGNLNuvNSJXI537lZPW9DisLbGamuO\n1ACsxR9R0JEJ3KKfWeYg1CY/4kDpkN4IuP8ROdL3xxnFxmD9P0h6fa+NF+4daqOZrj8nn1li\noMN2LwyOIKSZmcuE1x0mJnh1lzJFOl6XH2LVVBn0WLaa5YL9AZxYQJ+MrjIKBE+xQ4UZDvVL\nJyQt2evNn659nuz8yzq9xQlrl6gaoQcIubeQX6ZgJlGeD0cQ0jFs8b34l2BZ5jideRGEBPI6\ntCbgVJadwA2bkBaX7YzVkzDu/RkbCktNkwhZrPIA8B13u0nVugMtyTkD33bGTqGc8woF84jy\nnDiCkEi7AMmv3ImIutb9F0RHmRjVYEYGlOU5woPzSSchHPToyX94RW9YduzYUr+K30PWXArn\n98nfO1Z8cTuf1FKKA4cQ0t2OKKJxFG58w7J7rwgNgwqLc1vATjO1rBi1aE/DDHJVxQIORpwO\ny/XOJb9XeL8lluhnSJNBKC8YDiEkQn5cMmzhoay9F0RGrgDSxPNRkg0eAsbfY2pzaZ+ZGPhW\natsQDG8Rt3UasCwsu8yDqWu1GjqAL+SVREqx4iBCysHB4lbQY0jKZhAPuiRpQUANb/Y1twQh\nLYUZDBjX2ZjxezszQHm8RYr91XJ0hcwXEMcR0ulxDSr3fCeDkF9NTyrXRQ2yTPzLZs2KvRCs\nIa8JWmgFydpautoTILEDxm2Wb5vgFf2f4nlDeW4cRkjvaGL7xGlBqP+Ru61mlT871rYmK4uJ\nscSvyYneWH3EYzEwzVD4VCN3TdRVk1C36rPv5U7aA6XzivL0OIqQ/sfPOuZc6a3NLqWRqhgV\nkx8WB69hfLZREGnWEuPS1AtWxSEcbRg1Nhgj9zcem4N0uJkH+Hf+U+HsojwtjiKkXjVTS3cQ\nS+F29sWrj3KCBJ1lnTNzOfCOZMzM6z38wa1y2aBF3zWOcm6eljNdW7hWbx9cV0N3UOH8ojwl\njiKkiDc+5f+Tv/kFe4n0GDxr7S0x7jAlAcBdqkGRX6nrhPRt85vxzRzJOq+dIwUZffzuKpxh\nlKfDUYTkt25ejBhcN6iL0WC1cGAQ3MAyEx4hBDqOQ6BCqpOExE4iE2NyJGt2mKWtd0v3nsIZ\nRnk6HEVIVcbNjReDt40o79XKXyj+6e8uqUj2rIxYV4sPS7x+A/cH2ctnZE9Wx8xVyaoNOKdw\njlGeCkcR0uueb2tuEzLLy+NFb9qJ2nmVTQRw0zLgE1cRIBQBbgANRCktIGQfl0NI7frIwbnW\nYmPQNI6uh158OIqQ7pYr5zaMXKvy4hkH5YkTQLzYrgsMkP3w16idJAXS7PNpUTmSNTlW+vzL\nvYp+8cm3vGs9VDjXKIXGUYRELrdAoLETGckgDnnUsnjfx3hM51IQBKfJaZecLu7+5DaJnw1r\nTnBNIeSsC50xW2w4jJDEcjYvSCqWSq/dYjOwJCGjqP06yfXdW3uiIJizwC35cs7Xr/PYEd8e\nxw3Y7dLOxPLK5xqlcDiQkAhpH29HNZI0bKe3LqT+7lHWbBAA/BI8gQvr+062VV62R4uCq2J5\njbTDYItcoxQGhxKSu93URhIWEbEMgODWnzPj6swJv3Jrt0cAEiDhl0epuvMuWKcmvetii1yj\nFAZHEtJphF50s4YceLxjtGywrEcwk4yaN6x6/5Rr0z+OqBY1cz31KF03hY8sG/1r2iDXKIXC\nkYTUS128wngWMCB3yeEQy0PEOfQdaV8tjZCX66VVz+5l9aVw2SD8a+EdG+QapVA4kpD8Aotb\nFk+JCnQACU1VTfxFOc2V3iGlaiQPXBt8yA5NtqHuG3E+Mz55Z5AwQNy+sHrEtA/pMHiR40hC\nEuyqYScSBR5iV6kvzNqN3W/IL2MvgrRasyik3+F8tpTdmx6ncakp1UcLBJ8GVXQhx2yQfZSC\ncCQhqezpNZIVyQ5DKGNiu1TxqtgbfX8LvhMT0jeZHIIUUT9H3juac3bSWn5thlhDdXCls9GL\nGAcS0i27k5Hsx5IDhmX0kdM2zYrlou9HvUKudsO6qAqlScbrRnAF5/nZbIbSPF+1hDFDlM8/\nSkE4kJB+Lm5dPD0IMa1bcWrQtpd6PWkdmHJ9hZECIFcM/IGx+mUpJGWpbvyjJB6Dy5aNBeHK\n5x+lIBxISL8WtyyeHlaskLC0Ao1rC6lLdNe1urt4NHZSQ6YRr2YsXrk+Yv/ISuJuwbpB3ygV\nNY4jpC8aFLcsnoFYncVY3Qkxi+d0buNpEHf9K1Xr+w35EDysCSs7OyuNR+CqZeONMMXzj1Ig\nDiOkBUzHYhbFU4IeubFkWPyeCfzKqwC8A1VhAfKAHZ9Z6bR9OSuRqW7z5TC9wgCl849SMI4i\npOPM5h7FqounBmcFSNCotYzsXchyULNKTJFBZ01ag+GPkrlU/a74eaen8c/DGz+7pnAeUgrA\nEYT0YNPAZtHR7YtRFM8FRljoifzE6qksu0Fs2jFhAJEj3lAxlkWarxuy2zNMZ8Pa1jP5vGJG\n3hw/lM70KzJKuJDu3CHkVBlji8HODLIzA6Hsg/UsllaBwexwH0E8IXWbQv2Abyrp5F7LUtLE\nioyja1d9l7anS1zZik1Hb17ANewwbM073i2VyUXKkymZQsrYObRBz6VXJodgHDKpdB2xjVOh\nlL2ZNWQD6SzL/Gm12BeksbwYxLKmECFk1JJRwT4nxAT/VA4CgrGRbfvanJbsyCsciuva2MVv\nK79bmedBeSIlUki36wuNRnTyENwWfvfdAmf2onios9Y+hYTkJTIttZNRnpQoTZoV0+J06oyq\nc/3w+tOlntApl1bnCZnLqX4Ud/arK6D9Ynini2uDXko8DUohKJFC6hjyJ3nwfiVWLy1A0U4z\nUfzcV4xieH4Y2VQoVD0cgeQECWsE0B4hjbOG5jpLNuEkZEbzZGlvOAqRj6aVSaybV/ZQbEAJ\nElLav1aj55PoG/JzqJ6P59CIDNKihncGIduKWwtPh5DXwY4dVAD+Yl/p3I0AUGsP92ttTXmG\nbsD0LeeuwI+fs1K+zQfrW6Rp7i2UeBqUQlBShHSrn5PYAgreJm2v9iXX3OL6wIZBFZ2mkf4V\noWPXOkWtBMWR3Bhn+trvpgXGTWCiO3+4ZK/YsrvVGnRiL8oPTv0NkhPw2YAsc9GXcXMVfjCU\n/CghQrociEMmvdGCYSaIO/NjMqoh3yRg/BI2am4OA2gXg+zOYDU3Obt4XNmXlxsBGyJU2pkZ\nDQPAqWrrRgJ0/REuiemfCDUSpJl+qXHcVRs8HEpelBAhteb9SpurztjNou8I2WqayLYl6W5z\n3Jxuql9lPdnmyA4nUOSNNR2ezMFNwPiL7dn1+s58BNI2qmMyAXQtLebFg1h+VrRrn3kjSjO9\nbfFwKHlRMoR0AUHtpe9M8o1o7yaWnatq1nspIWN81NpFvqU7utjneF3eZFk3iHXsGnly3/tM\nOLRiN/7eVvJsPCA9/Vgtt3hsLhsXUzvEJ8U2j4fyOCVBSA/GSQs2lP+epJSPdqoiHuiISr9y\n98PSUnHDSCd2L7jiLPs2AQsAG6GSl7n6II5lH85nkLG8tBKtoIYIpkFDVstp+Vi6alLRUQKE\nlNHEoxwKPtZZ+IocAa0kpEUenOwvyCi9c0EQ1OrF9/f9dGgBV8ViynpsHq2RUurjjrRGBjOl\nRmq27mZWiVX0piFuddMJuTm/TcX2S+mSL7anBAhpi+b3sgifJ33C0olK135iiyZNnZOxutQv\np4cjPAYMcKZlcRd8RZG6SWLDzkcNTuRLbvwJabVMVug9fyuCymmBC7o1sGTLfuYS+V+Az8uz\nermFn7XNY6I8ogQIqUlvUraUvnX6YVS9AiC2/KBhFYB5DwmVmgSAcE/AOKNmcZd9xeH0rwgI\nPP71NBnDRB3xiG8dDkaIIp27l7E6AE9Xf3I/pJlUGd1IintsxUyKwpQAIUXM+bJ6MyPryzP+\nLEDU25/885MTRMCKmf2iPPmVrgAHKxR3uVeQzOFHVwGQUfYcKzViBVRR8EVq9m73LkFvWfPF\n9P5GZ8towwWB2tzZGvsX0imDZBxdNUEqZDpOD5lL8qEgvVaeHMcwpmIp8jaEAbXJMoBSWeMs\nJtJT2pT8yJ4tM6v2MEu+/IOO9820/q42UflnRMmB3QvprKd3woO7VTlVpa2oOQcNlmjK6HlV\nd+AQy9VKlguYwbUYy7yNUEVJvxdVodWGhz3EJGpADYhjIE44vdL4t5wxfcIzOr9kzaQmQ23x\nlCjZsHshta98hFlztKE0AA4J4XD0LtLxveVXLQgFlYblgp9UzEomKDRg4hI3647PsFBWhWJJ\nao3AD2+m//aS8CV5pao1k0rPt9GDomRi70K6p/6ILGVw9HAe6dgloNtGGC9BzwLy4AF0fj5c\n38bFWtZtiNikc3r0rln2gQcGdJjcHiAgFZQTn+th/K2cSTvZk7Z7VhQZexfSKThDrjuVjXDX\nwr99WTC5rQHWW7cM40Qfqax5T6sVsdDOpsY+LZbk6eVBBzVquvOVzq8s2WNZmrmn+b1U8mCd\nYaztHhXFgr0L6SL8j7zl/pCQ3jCSUYFYMWHO/eVaaMdAaYRhTFuWObWupNjZ5SAzUQIjbbmI\nDVlnDKZgAK529xpc3Rty7qSOUfFBnG5mxhNykfLc2LuQMvzmkWGNCUnvyKBhbfilPSX7VKyr\nfGeNAMB0n5nIrggpzvJuG7IZ4aJMv13SUDjqzIMw4fMzJyMayrmT9ueRvas/pxZ3RYC9C4m8\n7nx8aBNyJAA4DhAH7h+GIKQFjDleLF2RMQwuaeZBj1BlbelYafFmr3oGH2luOgP+rzPfkM+7\nuoutPXVP6pWrKLB7Id1OZF2Ejjxuw+47rGYrCh2kF0rYV1rrToCS2ztCWR8gWBeaxTXnBRox\nRLOf/TWJ8xk0gNW7t6vBdIgMp0oqAuxdSL+FulQKlDxVAZTtq6tXf0e3UOCxv+wwWzJCs/8Z\nfU8EW+elM7Fq5I5gvPuW1OnSlArP4JuE7OA2hQ+06bOiyNi5kO4GNRZLyzBgy36q94Den7L1\nfPXAx4FGgyUdNS9JU5FykMfvAyOAfziC9dynzcxvcuoODFt/+k9kcKX1JmppZ3vsXEjL3MUL\n/zNAWbGzre2v6Qjt15eRGnRSOasKLGLedCnyMl58uEtrVXijAG7vIQR6MBl80ZBByADVt9j2\ncVHsXkjteogfKzzx56EzLwZUdWXg26Zq8AU879gP4CrWSbhMcRfuokL86dBpeLmiwgaVqwna\nAgPRGuBgBvRWv0QHwG2MnQup3mjxY0jTyv0qTyfnGogdblCpsAcg/R5STl7p0uhINZKlwcfL\nhrrIrJ6k3TlKDbp5AeSwdrVNnxfF3oXUva34Mazxx6yzVFJYNMYDJVXUAtTSH+guFSqGK7G9\npCzYHHsd9lUESVFq7XRXfpfzXLHJ+9J9MjbOlo+LYvdCel97jpC1bg96QbkBgytCQh/YSm4n\niE0665BwyR+zs5KZUCMvL+CMMYNrxUEXyVuFwPB1RrB0wMG22LmQ0muEHyM3zM2NfSe1bF4D\n9+dM4sG7si2DYTADeY5ulVhkN+GsdS669IkZKfTsnchoZYdDBfDv/kO2WEjecbBjIf27sFf3\nuT+2Av9EA5Ta8v07LVknsQS5vJaeZpBaO5xDiegRaCOxGLwjjeCJWzDwJSGtSgm1C8rKHxOB\nR2yP60o9PwfEfoX0ti64Q9cI/o3/rZv5zv4WbuAaCaxsb+YfD9XFFo27WhRSw5JrIJQPCNij\ng+UNtcYFfEGt3n+TvA990OH8s/JHQ8vjqbc+CY+j7oaeGbsV0tfsXKnZv457z7J/5ycUlewk\n10K8jmsPupkJrhqoVMzFuoiRG3WqhhhaIAHAWW7faVldpwAYae5yOd+8rNpCHh2/4j1Lmcfn\niBS9kG6fTXniS41CCKleR0s4KtJ6oDqe6/yHmxfieRUuz+qYRAjUF3fBLiIeG1Mx1pOO8tL7\nWWfJt4MAYWqW65/PgMM/6AfLxozoQj1BSh4UqZAyjg4O1orPVR086HiBFz5ZSBnCTsvGcdlv\nvHTAO2bSUAbF6+SStA6c4OdQh2vYZY6uINCzam8GNLjRg5++dUYGzCWGQtDfeeblVyjVsvGh\n/mmeJiU7RSmkB23EEh5fp0WdeBNA59QCrnyykG7B4Q+ahwQ02HgBfpUP3AQv1Sj1l1tcOWlZ\nrt/fZhho5GijDTjblt+JyYIXIMz+QkZ6g64tW7d/Ez7qYV55eRhuWjbednuGp0qRKUohTYKK\nByzySfu+Dsws4MqChXR/29jec3kDcMEv9dclIcssgXQeqUqNEvtKy6A6QFhC9UTHGvvOxLqO\nkhDZZnUQkqYsMTUEBrQQOayVAXTr88rPu9qtlo2uDZ/lsVIkilJIAb73srZTo0IKuLIgIR1q\npWI8EjWA5n04WtfhF5W/9Xg9swF9RlJ3BEN7DqL02FhyJyMVgMV/kiikmhWxvCEJSwt4hphD\n/2Fd5zyzdKjfaSn4gNn3VM+Tko2iFBLXOttOfz7X2b9yLPd4M78vmcMIUa92YXXeUD6F/Khv\nyGROEviG1UCHJR4YAngEOpdSGpUjVkgWBK2qvFqSUYjWv6EAJlgh5dB1YGPzzNN7dZ0GvrWw\nFVNQI4FSMEVbI93P2k6LCcp1NuPLfVkMzrdG2sMmui8a14FToS5IE1+RZ1fAOeupLVrpPT6u\nG1JmFIxujNTQpLjLc9Ej/XZISyiFiT8m8lge64cTjICktZpJP57h6q3Ja8g0fXXjwKhOB5/x\nuVJI0QppyqM+0qE6MK2AK/Nt2t33RFgAJDmMny3MnDNzKncO/iCnZ7ZrM+W3+xeSOMygwFHX\nqsXpj4OHli/uYl2UWKtfhCSzIOzmbTmkN/PyGdekiVebQizjF8/6vv7fMz4/SgEUpZAetgUw\nlq/bMrmCC0D7PAeQrOQnpPPucmlx08NxYN02E/IFs1N1d6UQ1bunqDBVOc5r738PNpd1epef\nwZec5S6fDpUOwAAg0zT4oAAAIABJREFU1kkIReuwlyUX3FgEbn4cqtFFbTTtzZ6nR+YPnHPg\nGZ8oJYsifo80MFByfaMKHHi0wJey+Qjplq/0k+vpK0pkMajwp4TM9g+r/i67nFyLCujGTpiA\nTRgjELyBbQvtBMcTkpi5aJWQOQ7ujHdzAYwBwqUX0xwWgUWErHQdpj2VlaV32qDoFvFsXbpq\n83NS5JYNGSlnntmyYTrPMj5SewXLls4t/16NAfMQcp10ibhOxkSSaGGma8WjhJzBLOxxLtYy\nXUxwIHmYrWkwlwV3NbMbowUIQqSZfr0x2xOp+hGyHXwYXasjYnZubx4S7OUmWTX8EVWDTqF9\nPuzK1i6OlXrQgotW8uImexiF2mfuM15mdxAq7zgG/002ucVLTcbVOm+uTKliLtPFASeAGmnA\nyZVPlHYxYjgELkk+llX+0EbVrfliH8rEs9Dubk/hpRUTkJA0Z9Uxcka1y+YPtWRjV0JyAzBr\nYHGkNFAuO37U/SsN6hrYpvDuIHYEnLxqgj7je81dyKsKLG4lF/nXxaixvEJD1olJdbri8ryR\nVyFUDWbhAHRkk9flQG2C/hAhs/y0yMcTlT3WYLDNH2rJxq6EFIzAfFIHvDRb4sPYrh9hOHl9\nSBBgVyMk9p6K8S0ySewZ+ArArEqGVsVZoIsVzFQHNGUkQK1akvNZvJnRh+lipOXIBgBTGld4\nq1sM2Y+hcp9x79fBSxpgPohBEW1t/lBLNnYlpG4YvG9Mx6WlWaDOLhe2uZlWBoePQV7ir267\n5pzGm9xxhhGTBo7Azr0EmOkott+PgRhDKH7zAQatNOiAwae+u2TdINZQSUiPgA1C7Ki7GFza\n19Zjj8kauEBSXNlSj2c37TY9BXYlpJ/FUoCRVi4tjOrTXRr38hXvrDbL49zmRPBM745c6qSQ\nwXV3YaOJccQ+Esht3gUp9ZINHAhgqAYQz8siEjfkbhN4/1EzcKNbOQTdCNmJgVsMfxPSD7Of\n5czrP7oGMYHtf7H5oy4p2JWQPuYkF9dSYQGGK+t+ikV42+bmyLo4gyfjDVxp0Gys2+IAj5fu\ncirW8lxMIJOYOQ1ONhmySGr/NmuLsiZWMG7VBKQGlsGVT5NPxV+idoS87SHgBbqH5C9fdf1u\n09s2H5c1u+ULXdKqz1fXo2MQhcWehHRIaJf5lpWFTVr9mmAWY09pgVjLCB7w3tPJAiz3svnv\nP3S810gy/lIGuDHgBlhtAOQtOVQKWmhd2H2wM4M6vPXHzb7Ag9dd8om6Ag8ubStywbF1maiX\nB1fGEyxZfctzoNywG2uiL5gKhz0JqU474o8NwHsYxLLRabA2UKcDjVRBIR3HIJVYUXF8ZIDk\nPacKtlZdDoiYfpOAoFSaG2cS8yBMshHSBHIwbL+HiW3qAaD2xmoGsBaZ9lwUwrHb+H6z9kd3\nQAlSFn+sfkvO6o0mi/uGhz5v2vxhlwyeV0iLNikXl0fkKaT77KekUrLFmWhdafDbbzxAhLQW\nsQckekvGQwaxZkK6j8X6Cpk1jIPWSJmYQsSKW6MzqC05hrHapTT4qFR1LT8wulgktozFcwfJ\nxbdiVJEq2UCczPA7KRm4jmhgzfR2fWzxfEsgzyskrYtycXlEnkI6D7+TRo1VYBoBP2a4eraG\nuTpPT+ldiWQWBG6CvGEE1I7hEersgLPMcyDLR1vdR9CIPytQPYgHbDTqWVQr40FjbEbQl3xj\nRB/t04AhHjN8GWC+EbM4fYEXgKr5STK0qTXTO71ki+dbAnleIQ0CWxjf5ymku/hLstCQIPDD\n8d1dbBdfvFhwKmMyyfbO6qsXWcAJ2BAhGWxCT4PZsesjPtN1gygfyfVq+0895MFO5F7tOgk1\nXDNoDB+RHTCnbtAQqYLSmKCS63lRNk7TYe+uWs4/L/O1zvIKn2ODx1sSeV4hpU/2Wfnbf9cl\nlItUPn2kqr3IbWdTyyDkvdK1XRloPETN1unqKRcZwVMqJe8jvx9hMOBapLXQxwG7SOhRgEbk\nOKNHPs05qFGGDTJoWnIaFZs0lglqjJiYSZy+Xrf4KE6zNnYw2cwv2IaukPTmCZf0C+QsX606\nK35eOXZDwYdbMnleIbm4ZBVY5SKVj5A+Y+enL2C0LMij4MZfXAD3b6Gy+KJCkr/vl8DzgVN/\nMDciNaGr41ZJFVaDZYp5BwEB5ywZ+CKnJD8MPZCO7ekt1lc1nfhKR1cMQZEVkRd8RMi2WOAj\nPMcyYnUubHuwfzxsWMMM+O7S4eHsYkLWBYlfFUtnoRfM8wqpzyOUi1R+75E2agOaC1rWjKVZ\nAd+WDQMBZY3NibrpxWKmtzegCuY7Zo7Nv6A5AJZfF2l2n07sLHpURlxsz+7ARWNxXwfcAfxx\ndC3SWco1LWKmdlO/7CV4gMpzzjD+JcaZ9cQ4bHEcBhS1g5DJqqknUo70Z+hiZQViT8PfhFxa\n2q8BbvfV2U29uVnv6mtDjBtkeWZA4Bngx0SON6By+iDWgU3tJLKMdpE0eDngVTDOjRM3JGMq\nMPDAm80AJoAFA+r2h/aM5hjp0lys31nGd9/3DNJXZgSt7uTtE5LjjBPMDjnrZzlTz+AFYUfD\n31YOVmEBldlGBkYZTVkFR66Y2LF4MutiQNEaMKkdt2VnXYoiG2oDgCEEIALUgLXykjeuEXJV\njt3+cmINQYS07uvm3ZpPekBisLDlGPzSj7G65nqlkiVMddmYzwO5/hddMsauhr+zuP+r9FPZ\nxSVKbS0xQjnkHI6kGW3AGhA41dvS0pF1lIns/ETasBhLqYHBwPiVS5TeVkvaEjtLFVjzdARq\ncs+tOjvoJ2D23ID6cbOq1CMklrVkdqv+1lxPmpjXs0hfGCh+c/O/FH389ogdDX/nYiwS5iOo\nIvWqWYt9KjICA+5Lr9x8NU7Ip2w5Blm/IjjbvsVzpE6n3SxmWEJ52UJRK2BVVBhAJRfslTj0\nTxjEtYZojhMqtZtRGzSm2D47z7fvZc3vytPzegpdnF47dk4aMFfy8dsj9jT8nZNvoHrV+pyr\npZSoXGsCj94/8/nJdHIqSMPytEbKhqinPpYNDIKUYepZwdL0Wcu6hhYTEGO38G36h9sMsu8h\nvrbY9ewsNgI5pkKwpeF2Xb0zj4ewXTgml4LmFRR8+naJPQ1/5wKrGdbSdFGDr6vYq+7sK1m3\npMf5e/2qK4bi+gLjYl3FTxqEyMwa+bmpLAFj0gHSuPcg7TxAYF/7YzKjFS92mnRQPd4dmTxq\nLniY1qHUgzyeQdMelvBPcPQJF3Y1/J0TAwNIb5Uxo8JQ/wr+Xjz8Gce/Rxx1qvkTsbwukC19\nkbzabOZiu15iD6q05J8JkA4qgBqh+Dfd6w32ZzATXc8pMMblWF7PIGyZdcP0nnJP3y6xr+Hv\nHNTI1Xz7k7i8Kx6eVZp98Ctt2T2GpR3nLCDQyPso0xqRyexK1ZAPi6KqKrb/sCqcnHJuDB91\naNwpRBAi/snzGUQssW44fUCOjmnaetpppYqAvaGAkB788s1lhWclF0pI4SBwUpfZUgw66T98\nyEueDydEGUgXB7QPegrErpJUGUGwxTAc+XYxNg0Xm3L6eazk5oyVKqpOAT6EjNcx6ZNqiJm6\nk8/bSKh9G0v4A5wag6sN61tOtU6xQmBfPLeQLnQVm1Hbd9ZRdNimMEL6mOFZZ3OAu57RQ9SB\niLm6j7bLT3u1GS4ai7egvujgTLMP6+8NhxDblQG3CCfw1cqroyNuhXMC+TISQOMddeA6uY/y\ndsb6ObNbCu5VTV6mkf23LmK/UbAc2BHPK6RLIRDZAbZ/KzifVC5ShRJSx/IufqXlwmCEqhkt\n28Fer6FyjDTmWsVVQu0MuaskhRHOsut9bx7wYLNQVnr99AUM3MhUhuSKUqOw8Rn207yfwnhu\n4PavlkQEnPWdbTnQvpFipcCueP73SFPTT8N2cpTpoVykCiWkhMEIf92v1gzW0xVpI32c3PiW\nlnGlNxzbzK7QPGr+MpZxh0c1FXggvSpYFcthgzScg40ucCafx7AjyciEDr16EqxukN8zKFQG\n7IznFZJ/TAaRhETKByoXqUIJqdrkWm5uY4w3BgBU2d0IcZ2y/HQ0K45iac9Yh2akqZEsto6U\nGzJ1NuAn90FhgAJbfZffk5B+v45BimXnS8sSMg7H8wpJ05lYhNRFo1ykCiWkYYkXy2gwVrOg\nF0BlOp91YiodsnsC+WSQNPVPSEIg+VcHveQ80CzWU4lXaml0GC1rwCwq4Gn8i6zD4295Peez\nt1OeV0jlw9NkIWXExykXqUIJ6Xd+0d2FddxY7Davn1dwVg/tRn0HXc7l+QiHzLkXYDXQA1AH\nxEItaTISVN8kv8cN/zj/0dmK3eUgtfzLCjx/O+R5hTQFBtyThLQCxigXqcINf6/jGi7ZNsXf\ntX5My/lZlz9I0NdYXCxF0W6RBsPlVZu1ljdLsoxUkpEVz0H/s9AAJmXUhHbLpZEd5zdEKeXZ\ndjvIDxcbd/80dcv7hVOJ53mF9LASeNSD2hUg8q5ykSqckMgPXcqYq0zJudrsIrPv6orFWCrt\nGP08yUUg0knTAYGzVktlCeOGr2/hkAYE33LNPfXtm3vjkF5nH38ae3258CAU46imQs/9Hune\nXCnjXcblu3rys1A4IeVF1TEec4uxMNolmS26MOuuxTsrb5ntlQzgdL4cgKb/+zFoLuoJtTZ9\nsaKS89Gc2f7fF9/dfPDFm6sOO6y/cCVMhG6eyHTH+UrKc0dI5tmF5Lu+SgM6/P0syI7N5A1p\nXTJx87W/ylrmACIGeH8+SDC4C0Y+dIiYy+mdQjNXLv39nXWHf60tLQjY4bIyD98+UdbWzuXi\n88TlEc8upNJvVC/mAmmPZBueQUymZ02+dQWEWcAejAoExnnlAlyKZfyHyy9crwmfyNl9Jglc\nAxAT0Kh699Ex4Y7sa6ikCamrl2dg8RTGkoMKnAGCOclQXAAo5yXVU3rvBU69Un2hS/+Wcj5X\nkA0Z/guo8Ssh1VjUYGIHp3JBo6VD+7f8kKpMKbArSpqQ1sC4McVdEO0Y+XWsXhpo8GXCLX2l\nUM/YmlJjWT0/PcUMzUrPlPM5cYb0OSr8LiFXUKXO8YRcrhTsT271YnkP8HHAORUlTUgjw3nH\nnmb+vGTa3+nBIG57YIR0d98TG3g6NOb/7Z0HYBNVH8D/71Z20qZ77wKFtpSWvWfZZU/ZsgQE\n2agooIKAoiKggCiCuBEVJ06coICgqJ8ioiKgsvfoeN+9u3SktAXaI0nT/w/NXXKXvhvvl/fu\nzfujDCYf82F2mS9aFVfil8ovC2D/D/CXnM3jyaVWcVuu0GOzhZe1iQeVCG8Tqf+ot9wdFSsT\nxeuuiVLqTVj/PwLi05zSDK/RLAHahBIS0ZDTwzTlMt8ZdI4t9Kztdz/4U41F1fn1FrVcfF7Q\nJQ1iQaXC20Qa3eslLLQrL8SRtwMSoyTrhIdoE3ABcQCRbfyUxg0Ean/2z2eDBWUAhyu+s/bn\n0b76lf8A60UTE9ptlHoXzkilNBb3XrxNpA2+y7CFUHkxF3Q+t9sktQ8tF6q3s9yejk2UXjvW\nMc1bE9bpKGeBj+xd9MapsYH3+mVT+hEZmrZEuQkHp5rqzC6xa7r34m0iXU7EQjsNcIx5QURl\nwU1vAuHtTeEcpKx4sgUQtfXqaOuqd/kH7hLuFOqSBqtXDODJb03myJ8faiJ/hQ/hplWpyllv\nE4n+UtUnRqo4vgJRsnjyv9qOp6gualo0mV3h9kR3iNIvM2RbDP5c9Va6EEjtGpfU0DyNTs/I\no38Hk0HvkCeqJZge0yYyVA68TqQ/3BkFvQticKwIRo4oLR+O0dNPjq4nmJbSl4VqvvqODbl0\nLkZs002w1jLp782lfxhn5/X3a38oqS89FpUZWJV6JnmdSCvcGvcqNQXdKNREnRR8yjoqCWxr\n1sdBYX2biVDrH9uC6oa9lC62bNIn3k+/u3/Gm0fZ1d9srsMbm9san6J0aSR8r01sqBRoK9IT\n5ypyLIVUQKT+bomD3kOhPo6mdzXNhIsAECWOCEG6sZdpp3SLvlP4LsHeZ9G+3KhlU43DY0AA\n/R1K8/8/RwHXbC1r2vA5IZ9pExsqBRURKcgZDY+qAiL1dGMkrOyIRdY5EB1vBR70rFtFMEB9\n7hx9im+tu41XisdN/II+YzcASNVsUlZkWyUn9xtEL1NuxEc8aDkejqdTEZEaM+Qfq+A6oQCZ\n48r8zo1RAZFuc0MErPyUWGUQRgq3cMDxgvw6pC3fh/iNZ5OYcXxNm1R3lD9kUpr3hv8g6zPs\n+mf7tUtVWobfGVhDo9hQKaho1m63tfkeefFjq3AtZ/aogEjrsBqp3IglfKZk8XiOkKWFkyAq\nU49CD5384MTWleEytnIDMzePadHr/gkhgV3kT76SuHe1ixCeT0VF6hWi9ug7G9pHoyNiVECk\nC0bXRTyvhnP+RSKGsB5WpRRC+Vy4M4WY9SIBXxDVC1+7u0nXc1hDH128LYgLCQT9K1rFhkpB\nRUUq8KdPiCbHo1IBkbL93RDpvAtOHUeIUTA9jqwMbzMSmN8RurMyCAPXkRA24bWPBIvW78o9\nf78fR1o15hsMjICoBlZr4iyNyp0qCxUVKaSRY6VBpCbHo1IBkRZhU7sKQIqMG+mcInGk6Ph3\nUI2rob4Js4AhAqrHRURBUgRMlR+X0oIaVsG5MCsqUhaoLeZfhJ4aHRGj/CLlRVpdFem8FEKK\nGVRknb+FNcASCmucdHFWIc7036FIfjMP67gl3FeUPphqfP2NyZ3HPHNRwxjh8VRUpL1G6LHq\nzZXdwfKLdgdVAZH+BZyIonyo82NyxT9RkJhPOjbxXy9WzGBgb40m1sciuElytDlwLIkUiXV+\nOu0+kNKVie3D9V0m9/FL1DJKeDoVrpD9NFW51PVv/M+UQflF6gllFjaYbkIM9A4Ua7gCeVjL\nb1Iwm7P6Eet6LhbYpQyWMgcCLISLCpa/uVAY34Uur0Hp1FZRNjZS+OnO8VUoTap4y4bcbesX\nv7hL25a+5RZpk3CtBIlginVtSr5GelUiXf4+xE8QWXOiKMlH9zDsC2mXRp+Ko8cCp8Mtys04\n479Gwzjh4VRUpKP5Pzpnj5e0azkpt0hRYvw14khtDeObN1FC9ZsjkXJMd53/qSF/i0nyBSMJ\nMbYyD2fJFhfNk8/HddiZlnYncdQgDRqkXZTwdCoqEjzjWJnlr8XhOCivSJtIrzLqY21smw4r\nbEuAXZQgfUG+Ti2hq1lqjxR1Fk0lEy2syntU/sCoE1jvJWKGbl8G+jryJ5O7aBgnPJwKibR+\n/XoYuV7hqWSDhkdVXpG62O1lxJa5b/FQSmsYxHFZApUusgXNv/2LXC6x+K9QAoFXorlVGw1s\nCP6Md2qAKEFE61hiMT1yQrkd3bScoNvDqZBITnfCE4q/41LKiCpSgoQalUX+tTE78nGcbFRJ\nCbg60JAyee8UQ13VulvY1Ngkc8cj0WKL8VxgEOuLvl//loZxwsOpkEibN2+GiZtVPr6s4VGV\nV6T47qXGEbV0Fz26DthFshaW3+UvderzkQzL06mJO1c/eHk1kILICHr223jdcDqETbAzw6et\n31G6PSGzCnU2r+gzUuYW7Y6lkPKK1L1RaREDTG1CeGOfW29qDPQOCipb1evGXrgQYPooc56D\n5JSsh/7VnhPCe3PfUdpAHPYn2Srfhty7JD48jAzQdGIFD0ebjn25v2vbsqq8Ir1TWvugAEE3\ncFX/Bjn1b1bs8w50RWqNQnsnFr7pwF5klQrKxdkUmTqwykk8lw4k8UTdeZQGSQ9tCFRvxJFu\nCRt+1TBCeD4VFmnr0B/psTTgJ2rZQb/cxd91S4wfNl4aPNQwxufWcZi1Kxt2fUSOVzJuLC0i\nUernxTpYKM9QinRqT9oZtG+XR3qD+PcT1R03YlFdzSJD5aCiIr1L4Gs6AVqng5aVb+UWKRxK\ngjMFHKavdIagDt7XorUiPw2l1U2T9LZq9evmh5T3zsXg+e/k585FdQ0ERPmDcImzyQnaijfN\njiFWR3XXLjZUCioqUhPj1tzcoAx6yd5Qu4Mqv0h6KAECNZR55HxfppJWcc2byB+mQajJFlI7\nAsnNAMZbOPgutARP9TrerKxwIU8sN44FwVGEY317pbjKukK5D0d81pZxl3Lfmz9h+U/lu8Oe\nSkVF8u1L6Q/wMKVdPKFCtiRRCBhaqqVH3XvSkvqAFt8/v3N1UyhRSw9C44yq+uc4DhJ8BUK6\nhpCEDvnldGwTq2GSfAv3JTwJJ/7pYOlPukq+prHyFV4QvEy34gqlO2o1LGNqlz/S9Q271eAm\neNVoXRUVyZpF6RLYSelQo3YHVX6RfK6KXALMH9dL3fitOBKUlszXjpekQbp/MPT20yqOViLC\nA5NbEIkjQ0ON7eQL4V/Q3sEpWyx/GOHfLeIjfwGMzTku5ODLulOUHiPfrrDqkwNIr/wGY2c/\nXfPeP8736GK1VmzUto/8ZpQ3engiFRUp3efslaTQXHo5oXqp+9845RXp+NUNG/inaacJjs0v\nFBnNo2TCRolLa8TOMOtXiu+0AlIlyiaKn6QYawaiN2wSAzjZHTtr5O2YxI/UUHr+EZ+2Vn/5\nnb0lv2mqfJHqgmUdvWJ4R77Cls309JalLxcMH/SYVYwzCrc5TdS9PEgtFn9DLGZYpaaiIq2B\nqBi4k36UDndrd1DlFSmnUbDTM024MYDzo7/p3nNsf1ewlvHQI4hADtM2yUtsq3VSZHs6nAiV\no2xCI915ESTC6lhD/bgIbnF2NT5FuupvvyNnjiWhe/Uin08bWyN2/DEa/pyc/pCC2HT0hbsX\nvveg4clL8hNRhFPJQ9Zt6jLX/4VyRg9PpKIi5c7147uepfdCZy0nEC2nSM9bd+oLnoKIiQgQ\ny8HXie3ztz8Yby01kRHBlyNivT9OtBP0JAgM/hGCNE+bGFpZIGx2JEeZXMI/9H920BvktIjw\ncg5XUtoFWX2fJ2DhOP8oIkJsY6W9iGU0x8vLZuKHlK6y5c+LtNIU2KaunqjT+/0kvVfkLjWa\n71hJ8abBwSteIZvH2gbtP6Bpa5ByitR/CF3Fc3LeQ76/KdwtuoasOp70Kahgf6CexCXaiscf\ngf2myxGFCIOqBwqp7YI4s5yZ8SOxUBuq3Ox/chqUFMzf+kZG0ll6ooXyq6M4FNSNrVol3uzL\nWjnoJb2ONB2ipIZSzPs/WXvVJLvpB5ZFjiv9gvBEjpyJ0weoY1hnFW292nW8usz1f75ckcMz\n0XbIYq0op0jN58jZtzhgY0exUW9Yxszs92Ph9letfZ07U7OiKE7+QORtxCcgnX7Mv/Xonc/8\n0TlpQaTvwn19gdxwcXnlJNJxUXiWnpOQtw98eyh6HqUXw2DD6xKRL6RAlA6RHHkg2m4lq8TQ\nQD0fP8Ziad0BDPq9lG61EWtYOsmfySU3ci5b3Nc4bZLyflrHIndpWYh6czeLGo0U7xF4lUhZ\nym9dLRYlBCE2JCUtykpuVzdl/7x59+VzQS2uKo0gSq8aUsPw50+wJ1diTQd/gZpmnwgzVMLC\nhnI+1EkG9pOSwKtPkEqRTHSCfCW+Fg3zV8g/JgZCBI6Tdwq3yBcw7qV2YNZD9WB/O/vNihBq\nNQvQ9+1FZv+QfyO+h0N7X9yw+57oaYnK+5F9i9ylCwlt/5UXWwOmlitueCheJdIjEay/7nJf\nSc6SEagjkmjg1UlN14WCCXwWLiqIOqTICiuJ0m+iNH4lNb8l3+gkbs7br00zd/vfAK5ylDZU\nFEUfHu7kCOjBIEDXSD7cBrN/ovTHMML5ss1Cp8+M1prK7JcQxHF3BxDgdOZo4i+n/K3m3vvS\nP/QM7Ci4ER/w9SBIGWCQTJefmi6GLy16m36vbWjWO5mMxXqkm3AczpRTpDPBETbC2SWbXcfx\nsQKktAQ1P75Umn+Enlht4ozEKfLI0cdP3g8k/QT5/sZ0Ww3/k/MhvvaD8nf2WJ98iAt1eaTW\nEO6GMqaEsDID9hUzaResvOn62f7sV0ZWswKYGtXXxVk4GCjWkg2KiuIB2oXzAdFce05vD7Ux\nhf6BvQU34h1ov/9tYViWEBwQ2iXv8uAQ53bguW/PG/foXupVeJVI3xpASEg1sZKG2+QbbgMp\nQvn8H6PSEPC8Hxuqup0cVd5v7Yg9YuNwEXjTY7rGZwdzJEbg7stZxFxLeJPSe1JHRFSJFCm/\n8Zxo3EH6sUbdZKIeOrSEYPlKWCdnWkeRuHTi2InEfrgrTX6SMguSqf+thBh6tWzjM7BaNqXP\n+hT2SBsiLsmOmPr7+Xa81F1sFxOyo+T75U14k0iXIvh5q0d1mdpb8LGAb9tl0zN89igbVocp\nD8Gvm1NhLASxrtQCZ1aHh+eEgGowPydBSo0aa+lifsBa1wxfJ/afJjxHP+ENY8vque6x3PiT\nHaeO9J25HSxyymQw6dby3CuEe8665Dmr7mfaizNb+PpEkvSwIrA/vXh3iGyfCWJYAQRXS4Dv\nxY/ob6GzCu+EbbhhnCwkZ4P7hwSGLz6hRZzwcLxJpNekZEWY7HDuy9VJHFh6OWbIuLOtsliY\nFpc/NLzExiUgpD97V6NR6MYBSrPxFj/QB+Fx6B5HAqobX74Tuv1XScfB40txiSt4KU6UOZQo\nHYgjCAic1BSmt5fgu+F9Llssj9KT/lyUjlRLTKrJ0T3S640iVkyCcRFAhODF7Xs18INuYf3H\nWzpdpn/d07nRiJfz6GnYORi41pl2I9xBl6RpFSs8Gm8SabbfFHVlsM/jlF44WLDhfnWA8hmC\nnzCjb2FMIrXP+c756ii9NFUnZ/mC7j9Nz2xso2sDzfopY8dztit0DcSVFvUqH0rv8OI1Yw63\ndK+YlTWBxHI6MHWV9smX4P5ZjX+AaSmfHazRwCw/J405+RT8Qnunhk+xKX/NNzZBql3juMnY\nV+/XeW0ufcEQ1mXKAGP7C9n8u+HNLcMnPf018Hvua1TSvfI6vEmkmX53qSsj7Q87bdiiY626\n8hK40C6+9+XIOpl7AAAgAElEQVRrIRDbGvqM+OAZmvNhTN06Q7PpfrVLaFq0uDx7K19HZz/z\n68aOV/+2c5VErPznO7UQnzQv7FbkOH5Ha2950SaUMyfrAfzbcY/sBj34xw2pBzrw4WO2ASt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GLnssUI1Ax3INeMLnq5dvoF1tXK4nwOlamzjY/Hcgm+C2Yy7dKA6jq4Ly6HBfR4Pg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",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"std_err = stdres(pred)\n",
"plot(pred$fitted.values,std_err)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Model assesment"
]
},
{
"cell_type": "code",
"execution_count": 88,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"test$pred_sq = predict(pred,newdata=test)"
]
},
{
"cell_type": "code",
"execution_count": 89,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<table>\n",
"<thead><tr><th></th><th scope=col>Store</th><th scope=col>DayOfWeek</th><th scope=col>Date</th><th scope=col>Sales</th><th scope=col>Customers</th><th scope=col>Open</th><th scope=col>Promo</th><th scope=col>StateHoliday</th><th scope=col>SchoolHoliday</th><th scope=col>Sales_sq</th><th scope=col>pred_sq</th></tr></thead>\n",
"<tbody>\n",
"\t<tr><th scope=row>1</th><td> 1 </td><td>5 </td><td>2015-07-31</td><td> 5263 </td><td> 555 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td><td> 72.54654 </td><td> 78.79630 </td></tr>\n",
"\t<tr><th scope=row>2</th><td> 2 </td><td>5 </td><td>2015-07-31</td><td> 6064 </td><td> 625 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td><td> 77.87169 </td><td> 81.09099 </td></tr>\n",
"\t<tr><th scope=row>6</th><td> 6 </td><td>5 </td><td>2015-07-31</td><td> 5651 </td><td> 589 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td><td> 75.17313 </td><td> 79.91086 </td></tr>\n",
"\t<tr><th scope=row>10</th><td>10 </td><td>5 </td><td>2015-07-31</td><td> 7185 </td><td> 681 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td><td> 84.76438 </td><td> 82.92674 </td></tr>\n",
"\t<tr><th scope=row>11</th><td>11 </td><td>5 </td><td>2015-07-31</td><td>10457 </td><td>1236 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td><td>102.25947 </td><td>101.12034 </td></tr>\n",
"\t<tr><th scope=row>14</th><td>14 </td><td>5 </td><td>2015-07-31</td><td> 6544 </td><td> 710 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td><td> 80.89499 </td><td> 83.87740 </td></tr>\n",
"</tbody>\n",
"</table>\n"
],
"text/latex": [
"\\begin{tabular}{r|lllllllllll}\n",
" & Store & DayOfWeek & Date & Sales & Customers & Open & Promo & StateHoliday & SchoolHoliday & Sales\\_sq & pred\\_sq\\\\\n",
"\\hline\n",
"\t1 & 1 & 5 & 2015-07-31 & 5263 & 555 & 1 & 1 & 0 & 1 & 72.54654 & 78.79630 \\\\\n",
"\t2 & 2 & 5 & 2015-07-31 & 6064 & 625 & 1 & 1 & 0 & 1 & 77.87169 & 81.09099 \\\\\n",
"\t6 & 6 & 5 & 2015-07-31 & 5651 & 589 & 1 & 1 & 0 & 1 & 75.17313 & 79.91086 \\\\\n",
"\t10 & 10 & 5 & 2015-07-31 & 7185 & 681 & 1 & 1 & 0 & 1 & 84.76438 & 82.92674 \\\\\n",
"\t11 & 11 & 5 & 2015-07-31 & 10457 & 1236 & 1 & 1 & 0 & 1 & 102.25947 & 101.12034 \\\\\n",
"\t14 & 14 & 5 & 2015-07-31 & 6544 & 710 & 1 & 1 & 0 & 1 & 80.89499 & 83.87740 \\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"| <!--/--> | Store | DayOfWeek | Date | Sales | Customers | Open | Promo | StateHoliday | SchoolHoliday | Sales_sq | pred_sq | \n",
"|---|---|---|---|---|---|\n",
"| 1 | 1 | 5 | 2015-07-31 | 5263 | 555 | 1 | 1 | 0 | 1 | 72.54654 | 78.79630 | \n",
"| 2 | 2 | 5 | 2015-07-31 | 6064 | 625 | 1 | 1 | 0 | 1 | 77.87169 | 81.09099 | \n",
"| 6 | 6 | 5 | 2015-07-31 | 5651 | 589 | 1 | 1 | 0 | 1 | 75.17313 | 79.91086 | \n",
"| 10 | 10 | 5 | 2015-07-31 | 7185 | 681 | 1 | 1 | 0 | 1 | 84.76438 | 82.92674 | \n",
"| 11 | 11 | 5 | 2015-07-31 | 10457 | 1236 | 1 | 1 | 0 | 1 | 102.25947 | 101.12034 | \n",
"| 14 | 14 | 5 | 2015-07-31 | 6544 | 710 | 1 | 1 | 0 | 1 | 80.89499 | 83.87740 | \n",
"\n",
"\n"
],
"text/plain": [
" Store DayOfWeek Date Sales Customers Open Promo StateHoliday\n",
"1 1 5 2015-07-31 5263 555 1 1 0 \n",
"2 2 5 2015-07-31 6064 625 1 1 0 \n",
"6 6 5 2015-07-31 5651 589 1 1 0 \n",
"10 10 5 2015-07-31 7185 681 1 1 0 \n",
"11 11 5 2015-07-31 10457 1236 1 1 0 \n",
"14 14 5 2015-07-31 6544 710 1 1 0 \n",
" SchoolHoliday Sales_sq pred_sq \n",
"1 1 72.54654 78.79630\n",
"2 1 77.87169 81.09099\n",
"6 1 75.17313 79.91086\n",
"10 1 84.76438 82.92674\n",
"11 1 102.25947 101.12034\n",
"14 1 80.89499 83.87740"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"head(test)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Compute RMSE"
]
},
{
"cell_type": "code",
"execution_count": 91,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"9.48430484886465"
],
"text/latex": [
"9.48430484886465"
],
"text/markdown": [
"9.48430484886465"
],
"text/plain": [
"[1] 9.484305"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rmse = sqrt(mean((test$Sales_sq-test$pred_sq)**2))\n",
"rmse"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Mean"
]
},
{
"cell_type": "code",
"execution_count": 92,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"81.5274463409277"
],
"text/latex": [
"81.5274463409277"
],
"text/markdown": [
"81.5274463409277"
],
"text/plain": [
"[1] 81.52745"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mean(test$Sales_sq)"
]
},
{
"cell_type": "code",
"execution_count": 93,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"0.116073619631902"
],
"text/latex": [
"0.116073619631902"
],
"text/markdown": [
"0.116073619631902"
],
"text/plain": [
"[1] 0.1160736"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"9.46/81.5"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Create new variables to improve the model"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Create new variable month and starting week of the month"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Look at distribution of weekday and sales"
]
},
{
"cell_type": "code",
"execution_count": 96,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<table>\n",
"<thead><tr><th scope=col>Group.1</th><th scope=col>x</th></tr></thead>\n",
"<tbody>\n",
"\t<tr><td>1 </td><td>8216.073</td></tr>\n",
"\t<tr><td>2 </td><td>7088.114</td></tr>\n",
"\t<tr><td>3 </td><td>6728.123</td></tr>\n",
"\t<tr><td>4 </td><td>6767.310</td></tr>\n",
"\t<tr><td>5 </td><td>7072.677</td></tr>\n",
"\t<tr><td>6 </td><td>5874.840</td></tr>\n",
"\t<tr><td>7 </td><td>8224.724</td></tr>\n",
"</tbody>\n",
"</table>\n"
],
"text/latex": [
"\\begin{tabular}{r|ll}\n",
" Group.1 & x\\\\\n",
"\\hline\n",
"\t 1 & 8216.073\\\\\n",
"\t 2 & 7088.114\\\\\n",
"\t 3 & 6728.123\\\\\n",
"\t 4 & 6767.310\\\\\n",
"\t 5 & 7072.677\\\\\n",
"\t 6 & 5874.840\\\\\n",
"\t 7 & 8224.724\\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"Group.1 | x | \n",
"|---|---|---|---|---|---|---|\n",
"| 1 | 8216.073 | \n",
"| 2 | 7088.114 | \n",
"| 3 | 6728.123 | \n",
"| 4 | 6767.310 | \n",
"| 5 | 7072.677 | \n",
"| 6 | 5874.840 | \n",
"| 7 | 8224.724 | \n",
"\n",
"\n"
],
"text/plain": [
" Group.1 x \n",
"1 1 8216.073\n",
"2 2 7088.114\n",
"3 3 6728.123\n",
"4 4 6767.310\n",
"5 5 7072.677\n",
"6 6 5874.840\n",
"7 7 8224.724"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"aggregate (t_open$Sales, by = list(t_open$DayOfWeek),FUN=mean)"
]
},
{
"cell_type": "code",
"execution_count": 112,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<table>\n",
"<thead><tr><th scope=col>Store</th><th scope=col>DayOfWeek</th><th scope=col>Date</th><th scope=col>Sales</th><th scope=col>Customers</th><th scope=col>Open</th><th scope=col>Promo</th><th scope=col>StateHoliday</th><th scope=col>SchoolHoliday</th><th scope=col>Sales_sq</th><th scope=col>Weekend</th><th scope=col>Month</th><th scope=col>dayofmonth</th><th scope=col>month_end</th><th scope=col>month_beg</th></tr></thead>\n",
"<tbody>\n",
"\t<tr><td>1 </td><td>5 </td><td>2015-07-31</td><td> 5263 </td><td> 555 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td><td> 72.54654 </td><td>No </td><td>7 </td><td>31 </td><td>Yes </td><td>No </td></tr>\n",
"\t<tr><td>2 </td><td>5 </td><td>2015-07-31</td><td> 6064 </td><td> 625 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td><td> 77.87169 </td><td>No </td><td>7 </td><td>31 </td><td>Yes </td><td>No </td></tr>\n",
"\t<tr><td>3 </td><td>5 </td><td>2015-07-31</td><td> 8314 </td><td> 821 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td><td> 91.18114 </td><td>No </td><td>7 </td><td>31 </td><td>Yes </td><td>No </td></tr>\n",
"\t<tr><td>4 </td><td>5 </td><td>2015-07-31</td><td>13995 </td><td>1498 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td><td>118.30046 </td><td>No </td><td>7 </td><td>31 </td><td>Yes </td><td>No </td></tr>\n",
"\t<tr><td>5 </td><td>5 </td><td>2015-07-31</td><td> 4822 </td><td> 559 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td><td> 69.44062 </td><td>No </td><td>7 </td><td>31 </td><td>Yes </td><td>No </td></tr>\n",
"\t<tr><td>6 </td><td>5 </td><td>2015-07-31</td><td> 5651 </td><td> 589 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td><td> 75.17313 </td><td>No </td><td>7 </td><td>31 </td><td>Yes </td><td>No </td></tr>\n",
"</tbody>\n",
"</table>\n"
],
"text/latex": [
"\\begin{tabular}{r|lllllllllllllll}\n",
" Store & DayOfWeek & Date & Sales & Customers & Open & Promo & StateHoliday & SchoolHoliday & Sales\\_sq & Weekend & Month & dayofmonth & month\\_end & month\\_beg\\\\\n",
"\\hline\n",
"\t 1 & 5 & 2015-07-31 & 5263 & 555 & 1 & 1 & 0 & 1 & 72.54654 & No & 7 & 31 & Yes & No \\\\\n",
"\t 2 & 5 & 2015-07-31 & 6064 & 625 & 1 & 1 & 0 & 1 & 77.87169 & No & 7 & 31 & Yes & No \\\\\n",
"\t 3 & 5 & 2015-07-31 & 8314 & 821 & 1 & 1 & 0 & 1 & 91.18114 & No & 7 & 31 & Yes & No \\\\\n",
"\t 4 & 5 & 2015-07-31 & 13995 & 1498 & 1 & 1 & 0 & 1 & 118.30046 & No & 7 & 31 & Yes & No \\\\\n",
"\t 5 & 5 & 2015-07-31 & 4822 & 559 & 1 & 1 & 0 & 1 & 69.44062 & No & 7 & 31 & Yes & No \\\\\n",
"\t 6 & 5 & 2015-07-31 & 5651 & 589 & 1 & 1 & 0 & 1 & 75.17313 & No & 7 & 31 & Yes & No \\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"Store | DayOfWeek | Date | Sales | Customers | Open | Promo | StateHoliday | SchoolHoliday | Sales_sq | Weekend | Month | dayofmonth | month_end | month_beg | \n",
"|---|---|---|---|---|---|\n",
"| 1 | 5 | 2015-07-31 | 5263 | 555 | 1 | 1 | 0 | 1 | 72.54654 | No | 7 | 31 | Yes | No | \n",
"| 2 | 5 | 2015-07-31 | 6064 | 625 | 1 | 1 | 0 | 1 | 77.87169 | No | 7 | 31 | Yes | No | \n",
"| 3 | 5 | 2015-07-31 | 8314 | 821 | 1 | 1 | 0 | 1 | 91.18114 | No | 7 | 31 | Yes | No | \n",
"| 4 | 5 | 2015-07-31 | 13995 | 1498 | 1 | 1 | 0 | 1 | 118.30046 | No | 7 | 31 | Yes | No | \n",
"| 5 | 5 | 2015-07-31 | 4822 | 559 | 1 | 1 | 0 | 1 | 69.44062 | No | 7 | 31 | Yes | No | \n",
"| 6 | 5 | 2015-07-31 | 5651 | 589 | 1 | 1 | 0 | 1 | 75.17313 | No | 7 | 31 | Yes | No | \n",
"\n",
"\n"
],
"text/plain": [
" Store DayOfWeek Date Sales Customers Open Promo StateHoliday\n",
"1 1 5 2015-07-31 5263 555 1 1 0 \n",
"2 2 5 2015-07-31 6064 625 1 1 0 \n",
"3 3 5 2015-07-31 8314 821 1 1 0 \n",
"4 4 5 2015-07-31 13995 1498 1 1 0 \n",
"5 5 5 2015-07-31 4822 559 1 1 0 \n",
"6 6 5 2015-07-31 5651 589 1 1 0 \n",
" SchoolHoliday Sales_sq Weekend Month dayofmonth month_end month_beg\n",
"1 1 72.54654 No 7 31 Yes No \n",
"2 1 77.87169 No 7 31 Yes No \n",
"3 1 91.18114 No 7 31 Yes No \n",
"4 1 118.30046 No 7 31 Yes No \n",
"5 1 69.44062 No 7 31 Yes No \n",
"6 1 75.17313 No 7 31 Yes No "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"head(t_open)"
]
},
{
"cell_type": "code",
"execution_count": 113,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<table>\n",
"<thead><tr><th scope=col>Store</th><th scope=col>DayOfWeek</th><th scope=col>Date</th><th scope=col>Sales</th><th scope=col>Customers</th><th scope=col>Open</th><th scope=col>Promo</th><th scope=col>StateHoliday</th><th scope=col>SchoolHoliday</th><th scope=col>Sales_sq</th><th scope=col>Weekend</th><th scope=col>Month</th><th scope=col>dayofmonth</th><th scope=col>month_end</th><th scope=col>month_beg</th></tr></thead>\n",
"<tbody>\n",
"\t<tr><td>1 </td><td>5 </td><td>2015-07-31</td><td> 5263 </td><td> 555 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td><td> 72.54654 </td><td>No </td><td>7 </td><td>31 </td><td>Yes </td><td>No </td></tr>\n",
"\t<tr><td>2 </td><td>5 </td><td>2015-07-31</td><td> 6064 </td><td> 625 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td><td> 77.87169 </td><td>No </td><td>7 </td><td>31 </td><td>Yes </td><td>No </td></tr>\n",
"\t<tr><td>3 </td><td>5 </td><td>2015-07-31</td><td> 8314 </td><td> 821 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td><td> 91.18114 </td><td>No </td><td>7 </td><td>31 </td><td>Yes </td><td>No </td></tr>\n",
"\t<tr><td>4 </td><td>5 </td><td>2015-07-31</td><td>13995 </td><td>1498 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td><td>118.30046 </td><td>No </td><td>7 </td><td>31 </td><td>Yes </td><td>No </td></tr>\n",
"\t<tr><td>5 </td><td>5 </td><td>2015-07-31</td><td> 4822 </td><td> 559 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td><td> 69.44062 </td><td>No </td><td>7 </td><td>31 </td><td>Yes </td><td>No </td></tr>\n",
"\t<tr><td>6 </td><td>5 </td><td>2015-07-31</td><td> 5651 </td><td> 589 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td><td> 75.17313 </td><td>No </td><td>7 </td><td>31 </td><td>Yes </td><td>No </td></tr>\n",
"</tbody>\n",
"</table>\n"
],
"text/latex": [
"\\begin{tabular}{r|lllllllllllllll}\n",
" Store & DayOfWeek & Date & Sales & Customers & Open & Promo & StateHoliday & SchoolHoliday & Sales\\_sq & Weekend & Month & dayofmonth & month\\_end & month\\_beg\\\\\n",
"\\hline\n",
"\t 1 & 5 & 2015-07-31 & 5263 & 555 & 1 & 1 & 0 & 1 & 72.54654 & No & 7 & 31 & Yes & No \\\\\n",
"\t 2 & 5 & 2015-07-31 & 6064 & 625 & 1 & 1 & 0 & 1 & 77.87169 & No & 7 & 31 & Yes & No \\\\\n",
"\t 3 & 5 & 2015-07-31 & 8314 & 821 & 1 & 1 & 0 & 1 & 91.18114 & No & 7 & 31 & Yes & No \\\\\n",
"\t 4 & 5 & 2015-07-31 & 13995 & 1498 & 1 & 1 & 0 & 1 & 118.30046 & No & 7 & 31 & Yes & No \\\\\n",
"\t 5 & 5 & 2015-07-31 & 4822 & 559 & 1 & 1 & 0 & 1 & 69.44062 & No & 7 & 31 & Yes & No \\\\\n",
"\t 6 & 5 & 2015-07-31 & 5651 & 589 & 1 & 1 & 0 & 1 & 75.17313 & No & 7 & 31 & Yes & No \\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"Store | DayOfWeek | Date | Sales | Customers | Open | Promo | StateHoliday | SchoolHoliday | Sales_sq | Weekend | Month | dayofmonth | month_end | month_beg | \n",
"|---|---|---|---|---|---|\n",
"| 1 | 5 | 2015-07-31 | 5263 | 555 | 1 | 1 | 0 | 1 | 72.54654 | No | 7 | 31 | Yes | No | \n",
"| 2 | 5 | 2015-07-31 | 6064 | 625 | 1 | 1 | 0 | 1 | 77.87169 | No | 7 | 31 | Yes | No | \n",
"| 3 | 5 | 2015-07-31 | 8314 | 821 | 1 | 1 | 0 | 1 | 91.18114 | No | 7 | 31 | Yes | No | \n",
"| 4 | 5 | 2015-07-31 | 13995 | 1498 | 1 | 1 | 0 | 1 | 118.30046 | No | 7 | 31 | Yes | No | \n",
"| 5 | 5 | 2015-07-31 | 4822 | 559 | 1 | 1 | 0 | 1 | 69.44062 | No | 7 | 31 | Yes | No | \n",
"| 6 | 5 | 2015-07-31 | 5651 | 589 | 1 | 1 | 0 | 1 | 75.17313 | No | 7 | 31 | Yes | No | \n",
"\n",
"\n"
],
"text/plain": [
" Store DayOfWeek Date Sales Customers Open Promo StateHoliday\n",
"1 1 5 2015-07-31 5263 555 1 1 0 \n",
"2 2 5 2015-07-31 6064 625 1 1 0 \n",
"3 3 5 2015-07-31 8314 821 1 1 0 \n",
"4 4 5 2015-07-31 13995 1498 1 1 0 \n",
"5 5 5 2015-07-31 4822 559 1 1 0 \n",
"6 6 5 2015-07-31 5651 589 1 1 0 \n",
" SchoolHoliday Sales_sq Weekend Month dayofmonth month_end month_beg\n",
"1 1 72.54654 No 7 31 Yes No \n",
"2 1 77.87169 No 7 31 Yes No \n",
"3 1 91.18114 No 7 31 Yes No \n",
"4 1 118.30046 No 7 31 Yes No \n",
"5 1 69.44062 No 7 31 Yes No \n",
"6 1 75.17313 No 7 31 Yes No "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"t_open$Weekend = ifelse(t_open$DayOfWeek %in% c(1,7),\"Yes\", \"No\")\n",
"head(t_open)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### lubridata to convert date(string) to datetime"
]
},
{
"cell_type": "code",
"execution_count": 102,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Updating HTML index of packages in '.Library'\n",
"Making 'packages.html' ... done\n"
]
}
],
"source": [
"install.packages('lubridate')"
]
},
{
"cell_type": "code",
"execution_count": 105,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"library(lubridate)"
]
},
{
"cell_type": "code",
"execution_count": 106,
"metadata": {},
"outputs": [
{
"ename": "ERROR",
"evalue": "Error in eval(expr, envir, enclos): could not find function \"as.date\"\n",
"output_type": "error",
"traceback": [
"Error in eval(expr, envir, enclos): could not find function \"as.date\"\nTraceback:\n"
]
}
],
"source": [
"t_open$Date = as.Date(t_open$Date)"
]
},
{
"cell_type": "code",
"execution_count": 108,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"t_open$dayofmonth = day(t_open$Date)"
]
},
{
"cell_type": "code",
"execution_count": 107,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"t_open$Month = month(t_open$Date)"
]
},
{
"cell_type": "code",
"execution_count": 109,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"## Create new varibale for month end and month starting"
]
},
{
"cell_type": "code",
"execution_count": 110,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<table>\n",
"<thead><tr><th scope=col>Store</th><th scope=col>DayOfWeek</th><th scope=col>Date</th><th scope=col>Sales</th><th scope=col>Customers</th><th scope=col>Open</th><th scope=col>Promo</th><th scope=col>StateHoliday</th><th scope=col>SchoolHoliday</th><th scope=col>Sales_sq</th><th scope=col>Weekend</th><th scope=col>Month</th><th scope=col>dayofmonth</th></tr></thead>\n",
"<tbody>\n",
"\t<tr><td>1 </td><td>5 </td><td>2015-07-31</td><td> 5263 </td><td> 555 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td><td> 72.54654 </td><td>No </td><td>7 </td><td>31 </td></tr>\n",
"\t<tr><td>2 </td><td>5 </td><td>2015-07-31</td><td> 6064 </td><td> 625 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td><td> 77.87169 </td><td>No </td><td>7 </td><td>31 </td></tr>\n",
"\t<tr><td>3 </td><td>5 </td><td>2015-07-31</td><td> 8314 </td><td> 821 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td><td> 91.18114 </td><td>No </td><td>7 </td><td>31 </td></tr>\n",
"\t<tr><td>4 </td><td>5 </td><td>2015-07-31</td><td>13995 </td><td>1498 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td><td>118.30046 </td><td>No </td><td>7 </td><td>31 </td></tr>\n",
"\t<tr><td>5 </td><td>5 </td><td>2015-07-31</td><td> 4822 </td><td> 559 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td><td> 69.44062 </td><td>No </td><td>7 </td><td>31 </td></tr>\n",
"\t<tr><td>6 </td><td>5 </td><td>2015-07-31</td><td> 5651 </td><td> 589 </td><td>1 </td><td>1 </td><td>0 </td><td>1 </td><td> 75.17313 </td><td>No </td><td>7 </td><td>31 </td></tr>\n",
"</tbody>\n",
"</table>\n"
],
"text/latex": [
"\\begin{tabular}{r|lllllllllllll}\n",
" Store & DayOfWeek & Date & Sales & Customers & Open & Promo & StateHoliday & SchoolHoliday & Sales\\_sq & Weekend & Month & dayofmonth\\\\\n",
"\\hline\n",
"\t 1 & 5 & 2015-07-31 & 5263 & 555 & 1 & 1 & 0 & 1 & 72.54654 & No & 7 & 31 \\\\\n",
"\t 2 & 5 & 2015-07-31 & 6064 & 625 & 1 & 1 & 0 & 1 & 77.87169 & No & 7 & 31 \\\\\n",
"\t 3 & 5 & 2015-07-31 & 8314 & 821 & 1 & 1 & 0 & 1 & 91.18114 & No & 7 & 31 \\\\\n",
"\t 4 & 5 & 2015-07-31 & 13995 & 1498 & 1 & 1 & 0 & 1 & 118.30046 & No & 7 & 31 \\\\\n",
"\t 5 & 5 & 2015-07-31 & 4822 & 559 & 1 & 1 & 0 & 1 & 69.44062 & No & 7 & 31 \\\\\n",
"\t 6 & 5 & 2015-07-31 & 5651 & 589 & 1 & 1 & 0 & 1 & 75.17313 & No & 7 & 31 \\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"Store | DayOfWeek | Date | Sales | Customers | Open | Promo | StateHoliday | SchoolHoliday | Sales_sq | Weekend | Month | dayofmonth | \n",
"|---|---|---|---|---|---|\n",
"| 1 | 5 | 2015-07-31 | 5263 | 555 | 1 | 1 | 0 | 1 | 72.54654 | No | 7 | 31 | \n",
"| 2 | 5 | 2015-07-31 | 6064 | 625 | 1 | 1 | 0 | 1 | 77.87169 | No | 7 | 31 | \n",
"| 3 | 5 | 2015-07-31 | 8314 | 821 | 1 | 1 | 0 | 1 | 91.18114 | No | 7 | 31 | \n",
"| 4 | 5 | 2015-07-31 | 13995 | 1498 | 1 | 1 | 0 | 1 | 118.30046 | No | 7 | 31 | \n",
"| 5 | 5 | 2015-07-31 | 4822 | 559 | 1 | 1 | 0 | 1 | 69.44062 | No | 7 | 31 | \n",
"| 6 | 5 | 2015-07-31 | 5651 | 589 | 1 | 1 | 0 | 1 | 75.17313 | No | 7 | 31 | \n",
"\n",
"\n"
],
"text/plain": [
" Store DayOfWeek Date Sales Customers Open Promo StateHoliday\n",
"1 1 5 2015-07-31 5263 555 1 1 0 \n",
"2 2 5 2015-07-31 6064 625 1 1 0 \n",
"3 3 5 2015-07-31 8314 821 1 1 0 \n",
"4 4 5 2015-07-31 13995 1498 1 1 0 \n",
"5 5 5 2015-07-31 4822 559 1 1 0 \n",
"6 6 5 2015-07-31 5651 589 1 1 0 \n",
" SchoolHoliday Sales_sq Weekend Month dayofmonth\n",
"1 1 72.54654 No 7 31 \n",
"2 1 77.87169 No 7 31 \n",
"3 1 91.18114 No 7 31 \n",
"4 1 118.30046 No 7 31 \n",
"5 1 69.44062 No 7 31 \n",
"6 1 75.17313 No 7 31 "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"head(t_open)"
]
},
{
"cell_type": "code",
"execution_count": 111,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"t_open$month_end = ifelse(t_open$dayofmonth >= 26,\"Yes\",\"No\")\n",
"t_open$month_beg = ifelse(t_open$dayofmonth <=6,\"Yes\",\"No\")\n"
]
},
{
"cell_type": "code",
"execution_count": 115,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"ids = sample(nrow(t_open),nrow(t_open)*.8)\n",
"train = t_open[ids,]\n",
"test=t_open[-ids,]"
]
},
{
"cell_type": "code",
"execution_count": 116,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<ol class=list-inline>\n",
"\t<li>'Store'</li>\n",
"\t<li>'DayOfWeek'</li>\n",
"\t<li>'Date'</li>\n",
"\t<li>'Sales'</li>\n",
"\t<li>'Customers'</li>\n",
"\t<li>'Open'</li>\n",
"\t<li>'Promo'</li>\n",
"\t<li>'StateHoliday'</li>\n",
"\t<li>'SchoolHoliday'</li>\n",
"\t<li>'Sales_sq'</li>\n",
"\t<li>'Weekend'</li>\n",
"\t<li>'Month'</li>\n",
"\t<li>'dayofmonth'</li>\n",
"\t<li>'month_end'</li>\n",
"\t<li>'month_beg'</li>\n",
"</ol>\n"
],
"text/latex": [
"\\begin{enumerate*}\n",
"\\item 'Store'\n",
"\\item 'DayOfWeek'\n",
"\\item 'Date'\n",
"\\item 'Sales'\n",
"\\item 'Customers'\n",
"\\item 'Open'\n",
"\\item 'Promo'\n",
"\\item 'StateHoliday'\n",
"\\item 'SchoolHoliday'\n",
"\\item 'Sales\\_sq'\n",
"\\item 'Weekend'\n",
"\\item 'Month'\n",
"\\item 'dayofmonth'\n",
"\\item 'month\\_end'\n",
"\\item 'month\\_beg'\n",
"\\end{enumerate*}\n"
],
"text/markdown": [
"1. 'Store'\n",
"2. 'DayOfWeek'\n",
"3. 'Date'\n",
"4. 'Sales'\n",
"5. 'Customers'\n",
"6. 'Open'\n",
"7. 'Promo'\n",
"8. 'StateHoliday'\n",
"9. 'SchoolHoliday'\n",
"10. 'Sales_sq'\n",
"11. 'Weekend'\n",
"12. 'Month'\n",
"13. 'dayofmonth'\n",
"14. 'month_end'\n",
"15. 'month_beg'\n",
"\n",
"\n"
],
"text/plain": [
" [1] \"Store\" \"DayOfWeek\" \"Date\" \"Sales\" \n",
" [5] \"Customers\" \"Open\" \"Promo\" \"StateHoliday\" \n",
" [9] \"SchoolHoliday\" \"Sales_sq\" \"Weekend\" \"Month\" \n",
"[13] \"dayofmonth\" \"month_end\" \"month_beg\" "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"names(t_open)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Build new model"
]
},
{
"cell_type": "code",
"execution_count": 119,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"\n",
"Call:\n",
"lm(formula = Sales_sq ~ Customers + Weekend + Promo + month_end + \n",
" +dayofmonth + month_beg, data = train)\n",
"\n",
"Residuals:\n",
" Min 1Q Median 3Q Max \n",
"-134.429 -5.763 -0.222 5.698 103.146 \n",
"\n",
"Coefficients:\n",
" Estimate Std. Error t value Pr(>|t|) \n",
"(Intercept) 5.269e+01 4.886e-02 1078.36 <2e-16 ***\n",
"Customers 3.236e-02 2.923e-05 1106.99 <2e-16 ***\n",
"WeekendYes 3.043e+00 3.103e-02 98.06 <2e-16 ***\n",
"Promo 8.748e+00 2.397e-02 364.97 <2e-16 ***\n",
"month_endYes 2.739e+00 4.419e-02 61.98 <2e-16 ***\n",
"dayofmonth -5.441e-02 2.571e-03 -21.16 <2e-16 ***\n",
"month_begYes 7.420e-01 4.429e-02 16.75 <2e-16 ***\n",
"---\n",
"Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
"\n",
"Residual standard error: 9.422 on 675506 degrees of freedom\n",
"Multiple R-squared: 0.7091,\tAdjusted R-squared: 0.7091 \n",
"F-statistic: 2.744e+05 on 6 and 675506 DF, p-value: < 2.2e-16\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pred3 = lm(Sales_sq ~ Customers + Weekend + Promo + month_end + + dayofmonth + month_beg, data=train)\n",
"summary(pred3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Customer vs sales - just to check if there is any co-relation"
]
},
{
"cell_type": "code",
"execution_count": 121,
"metadata": {},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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3iiFpK1u5766N/OXzxROVv//px1dT96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\ngAFAJAAMACIBYAAQCQAD+H/ZgD2zSOkzbQAAAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ggplot(t_open,aes(Customers,Sales)) + geom_point()"
]
},
{
"cell_type": "code",
"execution_count": 122,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"0.823596732197543"
],
"text/latex": [
"0.823596732197543"
],
"text/markdown": [
"0.823596732197543"
],
"text/plain": [
"[1] 0.8235967"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"cor(t_open$Sales,t_open$Customers)"
]
}
],
"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": "3.3.2"
},
"toc": {
"colors": {
"hover_highlight": "#DAA520",
"navigate_num": "#000000",
"navigate_text": "#333333",
"running_highlight": "#FF0000",
"selected_highlight": "#FFD700",
"sidebar_border": "#EEEEEE",
"wrapper_background": "#FFFFFF"
},
"moveMenuLeft": true,
"nav_menu": {
"height": "512px",
"width": "252px"
},
"navigate_menu": true,
"number_sections": true,
"sideBar": true,
"threshold": 4,
"toc_cell": false,
"toc_section_display": "block",
"toc_window_display": false,
"widenNotebook": false
}
},
"nbformat": 4,
"nbformat_minor": 2
}