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@seanjtaylor
Created February 10, 2018 02:44
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{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Loading required package: xml2\n",
"\n",
"Attaching package: ‘readr’\n",
"\n",
"The following object is masked from ‘package:rvest’:\n",
"\n",
" guess_encoding\n",
"\n",
"\n",
"Attaching package: ‘dplyr’\n",
"\n",
"The following objects are masked from ‘package:stats’:\n",
"\n",
" filter, lag\n",
"\n",
"The following objects are masked from ‘package:base’:\n",
"\n",
" intersect, setdiff, setequal, union\n",
"\n"
]
}
],
"source": [
"library(rvest)\n",
"library(readr)\n",
"library(dplyr)\n",
"library(ggplot2)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"teams.page <- read_html('https://www.pro-football-reference.com/teams/')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## This code makes a dataframe of all 32 teams what their 3-letter codes are"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<table>\n",
"<thead><tr><th scope=col>url</th><th scope=col>team</th></tr></thead>\n",
"<tbody>\n",
"\t<tr><td>/teams/crd/</td><td>crd </td></tr>\n",
"\t<tr><td>/teams/atl/</td><td>atl </td></tr>\n",
"\t<tr><td>/teams/rav/</td><td>rav </td></tr>\n",
"\t<tr><td>/teams/buf/</td><td>buf </td></tr>\n",
"\t<tr><td>/teams/car/</td><td>car </td></tr>\n",
"\t<tr><td>/teams/chi/</td><td>chi </td></tr>\n",
"</tbody>\n",
"</table>\n"
],
"text/latex": [
"\\begin{tabular}{r|ll}\n",
" url & team\\\\\n",
"\\hline\n",
"\t /teams/crd/ & crd \\\\\n",
"\t /teams/atl/ & atl \\\\\n",
"\t /teams/rav/ & rav \\\\\n",
"\t /teams/buf/ & buf \\\\\n",
"\t /teams/car/ & car \\\\\n",
"\t /teams/chi/ & chi \\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"url | team | \n",
"|---|---|---|---|---|---|\n",
"| /teams/crd/ | crd | \n",
"| /teams/atl/ | atl | \n",
"| /teams/rav/ | rav | \n",
"| /teams/buf/ | buf | \n",
"| /teams/car/ | car | \n",
"| /teams/chi/ | chi | \n",
"\n",
"\n"
],
"text/plain": [
" url team\n",
"1 /teams/crd/ crd \n",
"2 /teams/atl/ atl \n",
"3 /teams/rav/ rav \n",
"4 /teams/buf/ buf \n",
"5 /teams/car/ car \n",
"6 /teams/chi/ chi "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"teams <- teams.page %>%\n",
" html_nodes('tr a') %>%\n",
" html_attr('href') %>%\n",
" data_frame(url = .) %>%\n",
" filter(stringr::str_detect(url, '/teams/[a-z]{3}/')) %>%\n",
" mutate(team = stringr::str_match(url, '/teams/([a-z]{3})/')[,2])\n",
"head(teams)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For each team we'll download the coaches.htm page, and then remove the first row, which is a header.\n",
"\n",
"The magic here is in the `group_by` and `do` statements which calls the `read_html` function for each team to fetch its page."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"header <- c('year', 'coach', 'games', 'wins', 'losses', 'ties', 'winperc', 'pgames', 'pwins', 'plosses', 'result', 'oc', 'dc')"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"coaches <- teams %>%\n",
" group_by(team) %>%\n",
" do({\n",
" url <- paste('https://www.pro-football-reference.com', .$url, 'coaches.htm', sep = '')\n",
" page <- read_html(url)\n",
" tab <- html_table(page)[[1]]\n",
" tab <- tail(tab, -1)\n",
" colnames(tab) <- header\n",
" tab\n",
" })"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A little cleanup here. \n",
"- Make `year`, `games`, `wins`, and `losses` into numeric columns.\n",
"- When year is missing, use the year from the previous cell.\n",
"- when there are multiple staffs available per year, take the staff who coached the most games.\n",
"- order by year and then use the `lag` operator to identify the last hc, oc, and dc."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"for.analysis <- coaches %>%\n",
" group_by(team) %>%\n",
" mutate(year = as.numeric(if_else(year == '', lag(year), year)),\n",
" games = as.numeric(games),\n",
" wins = as.numeric(wins),\n",
" losses = as.numeric(losses)) %>%\n",
" filter(year >= 1999) %>%\n",
" group_by(team, year) %>%\n",
" mutate(games.rank = min_rank(-games),\n",
" total.wins = sum(wins)) %>%\n",
" filter(games.rank == 1) %>%\n",
" ungroup() %>%\n",
" group_by(team) %>%\n",
" arrange(year) %>%\n",
" mutate(last.wins = lag(total.wins),\n",
" last.coach = lag(coach), \n",
" hc.change = as.numeric(coach != last.coach),\n",
" last.oc = lag(oc),\n",
" oc.change = as.numeric(oc != last.oc),\n",
" last.dc = lag(dc),\n",
" dc.change = as.numeric(dc != last.dc)\n",
" ) %>%\n",
" select(team, year, coach, last.coach, games, total.wins, last.wins, oc, dc, last.oc, last.dc, hc.change, oc.change, dc.change)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Make a plot:\n",
"\n",
"- filter to only cases where `hc.change` is `FALSE`\n",
"- x axis is `last.wins`: wins from the year before\n",
"- y axis is `total.wins` wins from the current year\n",
"- we use `geom_smooth` to do a smoothed relationship between the two.\n",
"- `colour` and `group` are used to make two smoothed lines with different colors"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Warning message:\n",
"“Removed 32 rows containing non-finite values (stat_smooth).”"
]
},
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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jXWmQQ2EECnLUhdh85BkB4M3SUjDSDixWmJEYAnH+kT0d20TSWXWElcigRIgARI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\nrgGPxyPV1dVSWFgY1XGpuDP+/7Dguz0rK8s1CBYtWiQVFRWuaQ8bEjuBNP1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"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"options(repr.plot.height = 4, repr.plot.width = 6)\n",
"\n",
"for.analysis %>%\n",
" mutate(hc.change = if_else(hc.change == 1, 'yes', 'no')) %>%\n",
" ggplot(aes(x = last.wins, y = total.wins, colour = hc.change, group = hc.change)) + \n",
" geom_smooth(method = 'loess') +\n",
" theme_bw() +\n",
" xlab('Last Season Wins') +\n",
" ylab('Expected Season Wins') +\n",
" ggtitle('Effect of HC Change on Expected Wins')\n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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ZcD/z86zdmXBt+oNettensWwj6Fsv3B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\n3RwsCZAACZAACZAACZBAsgT+H21xQSZq75Q6AAAAAElFTkSuQmCC",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"options(repr.plot.height = 4, repr.plot.width = 6)\n",
"\n",
"for.analysis %>%\n",
" filter(!hc.change) %>%\n",
" mutate(oc.change = if_else(oc.change == 1, 'yes', 'no')) %>%\n",
" ggplot(aes(x = last.wins, y = total.wins, colour = oc.change, group = oc.change)) + \n",
" geom_smooth(method = 'loess') +\n",
" theme_bw() +\n",
" xlab('Last Season Wins') +\n",
" ylab('Expected Season Wins') +\n",
" ggtitle('Effect of OC Change on Expected Wins')\n"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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wLZVVj1UHKVUQhUMQIQaBZmwQ0bq/4x6ZLJU3gigDyjeXvHO95RxSVU1oWAEBAC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\nEIAABCAAgYYS+H/bFl9U4uK4BQAAAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"options(repr.plot.height = 4, repr.plot.width = 6)\n",
"\n",
"for.analysis %>%\n",
" filter(!hc.change) %>%\n",
" mutate(dc.change = if_else(dc.change == 1, 'yes', 'no')) %>%\n",
" ggplot(aes(x = last.wins, y = total.wins, colour = dc.change, group = dc.change)) + \n",
" geom_smooth(method = 'loess') +\n",
" theme_bw() +\n",
" xlab('Last Season Wins') +\n",
" ylab('Expected Season Wins') +\n",
" ggtitle('Effect of DC Change on Expected Wins')\n"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Warning message:\n",
"“Removed 32 rows containing non-finite values (stat_smooth).”"
]
},
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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sqKuiHV/0vW27lMAiRAAiRAAmYQsFVd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\n2Fq+WNVVbn16iKzZVJc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F3Rt29fQQg8tIf6UDBhsb5ftFHf1KlTbULcQRhgf8Sg\nxg8uCwmQgC0B+EUj8Qq+3Dx9NBaixPGlkzPlyEEl8sKHvSS/OPTvxlqpCYadZPOe9joxS88u\nnvswwp0D1tY+KjymvadRtqPkJxIgARIggeYigPlsLW3SYH2WTglouFXcfffd+lgIU8Rnrj8Z\nr37F7n4+9dRTZeHChbJ48WIdCxo/8nALMdpHvdgGKzdiT8Pv2brABxr7X3bZZU5NcrQ+lssk\nECwE8EgUqcDhimXGBMPD+pfKE7N3yIsfdZfft8VbMKZlRcjdzw+SK6dmyKkqkoenBdYMPBLE\nTQB8o12xFnjaNo8nARIgARJwTABz5bKyshzvGOB7NAxp4WBASOGNiBfeKnDTeOihh3QGQ4Sv\ng/UbExbHjh1raRKxoRE+j4UESMB9AhCf8Ivu3bu3KZP02kcckBsv3KUmEW6XsNADlo5V17SW\nVz/rKU8v7iOlFZ5PBoTrSXZ2tk6+4kqWUkuHuEACJEACJOAVAhUVFdpLwSuV+1mlDi3QcImY\nOHGiFrAvv/yyPP/889pC7GgciNThbhk5cqQgmgfuYGBpqm9lWrVqVaNVI8xeU9sbPZAbSCBI\nCcDtCi4ReNqDLz9Py/FHZMnhA6tk4ccDJTGjboLhui0xsie9ndw4LUWG9i3ztBntfrJ7927B\nvAnEm2ekDo+RsgISIAEScJsAXG+Rk8PT+TVud8DHBzq0QEO8wl/SSMiAiUj47Ohlxjgw87K+\neDajXtZBAiRgSwBPfgYNGqTFqO0W9z51iauSB6/bKWeeiMd4dZMI84pC5cFXB8iH33dVYY3c\nq7v+UYhqs337dsGMfRYSIAESIAHfE4Bohng2Irb5vge+b9GhBRp+hmvWrLH0DFkI8WIhARJo\nWQQw+xpRLnBzjHB3iH7hSQlR3hqXTsqUw/uXyPMf9pai0ra6utraVvLxj11lS2J7bY3uGFPt\nSTP6WExw3rNnj544jMRLxgRkjytmBSRAAiRAAg4JpKenC3JtBFNxaIEOJhgcKwmQgOj45Jhg\naFakiyMGlsqTN2+XEYNs07huT24vdz47WP7YFm0adkTqgDUasaNZSIAESIAEvE8Ac1LMmIzu\n/Z6a24JDCzSyl51zzjkut2pttXb5YB5AAiTQrATgqjVw4EAdpQMuEp6W6PYH5M4rE+WrXzrJ\nO992U9btQ/fuZRUh8uTb/WTK8dlyyemZynJc5+7hbpvww0PcaIhpTJLEWFhIgARIgATMJ4Dc\nG5grF4zFoYBG+sVgM8sH44XAMZNAfQKGS0dUVJTOLuqpS4fyEJGpJ+TIsH6lsuDd3pKZF25p\n8qtfOgss0rP/kSxd4vZb1nuyAJ9oWKPhhobJyBgPCwmQAAmQgDkEMOkck8+DtTgU0PAn3LRp\nU7Dy4bhJIOgJIK0rXDrwRVle7nl67r7dK+TRG3fKK58myC9/1iU7QsSOfyuXjmvPS5UxhxeZ\nwh0GAFhHjHTgnqSUNaVDrIQESIAEWgABTBbEvJNgibhh75TRB9oeFa4jARKwIWC4dCAyjhkl\nPOyg3HRRqsw8N1VC29aF46ioaiP/925fee2zBNlfbZ7FGJYSJGDBRBdPLelmjJ91kAAJkECg\nEsB3aGJios4YHahjMKPfDi3QzREH2oyBsQ4SIAFzCcAFAvGWEaUDPsbwNfa0TDg6Xwb2Kpdn\nlEtHenaEpbplazvKjpRIuUW5dHTvVGVZ7+kC/LmRXrZXr156HJ7Wx+NJgARIIJgIwOKMp5GV\nlZXBNGy7Y3VogW7OONB2e8yVJEACzUoAPtFw6YCQNqP07FIpj1y/U8aPsk31nbovQu56bpCs\n+KPOzcOM9vDoEQlYEKoPLh4sJEACJEACzhHAUzzG3D/EyqEFmnGgnbuouBcJBBOBtm3byoAB\nAwRRepAx1FM/uLDQWrnu/DQ5rH+p9o2u2n8o5XdVdRt58eNesml3e5lxTrpEKNcPswrCLuGH\nAJE6cFPAQgIkQAIk0DgBfNcHY7i6xog4FNCNHYgfzPXr18uOHTt0+l/8mI4YMUIw4YiFBEgg\nOAjgBjs6Olq7dFRVee5qccKIAumXUK6jdCRn1qUBx2TD3WmROkpHvx6epxs3zo4xEQbpwDFh\nmplPDTJ8JwESIIE6ApiInZmZWbeCS+LQhcMeo9WrV8tRRx0lo0ePlksvvVRmzJgh48ePlz59\n+sj8+fPtHcJ1JEACLZQAEq7ApSM+Pt6UEXbvWCUPz9olk8fm2NSXlR8m/3lxoCz9uZOyeNts\n8vgDfKNhDCgtLfW4LlZAAiRAAi2JAJ7UYd4Liy0Bly3Q8Bs888wzBY9w586dq63OxqSiN998\nU2699VZtxZk9e7ZtS/xEAiTQYgnAcgtXiDZt2ujZ2Z4OFAlVrjwjQ7l0lMjCj3pJqUq4goIE\nLP/7qods3h0l11+QIkjQYlaBBR2+0bgRgDUaY2EhARIggWAmgDwgSUlJwYyg0bG7bIF+4403\n9MSbtWvXyl133SWTJ0+WcePGyWWXXSbLli3T1uh7772XoaIaRc4NJNByCcCdo3fv3qZNMBw1\ntFieuHmHDO1raxneuDNa/rVgiPyx3bw04MZZgY8fErAgWgcLCZAACQQrAUTaQLg6Tra2fwW4\nLKCRVGXChAk6DJS9Km+44Qb9GBSWHBYSIIHgIxASEiJ9+/aVHj16mJL9L65Dtfzn6t1ywSmZ\nqr46342i0rby5Fv95JUlCVK53+WvsiZPTHV1tf7hwBM3xo1uEhU3kgAJtEAC+A5EohR+/zV+\ncl3+1Rk0aFCT5nyEOIF7Bx7nspAACQQvAaTPxvdFeHhdym53aSgPESWgs+S+GcrFooNtqu8f\nfusody4YLLvS6iYduttO/eNoja5PhJ9JgARaOgGIZohniGiWxgm4LKBnzZqlU+PefvvtDdL6\nAvgtt9wi8H/GxCIWEiCB4CYQERGhRTTEtBllaN8y7dJx/JEFNtVhguF9aoLhh993VRYTm00e\nfzCs0WYlj/G4Q6yABEiABLxEAO4a0HJMlOIYsMNJhAhbMmXKFJuaEMJu3rx5smjRIhk+fLgO\nY4V4sBs2bNATb+A/yEICJEACIIAJhnDnQKzl1NRUjzMYRkYcUGnAU2TU0CJ57dMEKas89DVW\nW9tKPv6xq2zYES03TksxNYMhxoEwTvCLRjZGTDREZkYWEiABEmgpBKDt4LbmaVz/lsLD0Tgc\nCmhUUH82ekJCguCFUl5ebrFEjxw5Uq9jrECNgX9IgASsCGCC4ZAhQ7SINmOC3tgjCmVI7zJ5\nQUXp2LynLhFKYkY7ufPZwXL+hH1y5rhs9f1l1QkPF/FoE25qCHsHN7XIyEgPa+ThJEACJOAf\nBGAIheWZHgTOnQ+HAhrWlt9//9252rgXCZAACTRBABMM+/XrJzk5OToov6ezuzHB8J5/7pGv\nf+0o737bXaprDnml4f2977rLr3/FyrXnpUr/BPOSr2B4+JHZtWuXxMTEaOs65n2wkAAJkECg\nEsDTQcR75neZ82fQZR9oR1XD9L9q1SpHu3E7CZBAEBOAT/TAgQMlLCzMYwrwpJhyfK48esMO\n6dO93Ka+1H0Rcu/CQfL2l92lar/5LheFhYWybds2yc7O5mNPG/L8QAIkECgE4LYBFzUW1wi4\nJaBff/11GTVqlH6EiVS+eHXp0kX7BeIH8cQTT3StF9ybBEgg6AhggiEyGMbFxZky9oQuVfLI\nrJ1y8cS90jbkoKVO+EZ/+Utnuf2ZIfLnrjpXD8sOHi7Air53714tpPkj5CFMHk4CJOBTAnBJ\nQ7QhFtcJuCygYV1G6u6//vpLJ0zIysrS/tCwKCENLiYMLVy40PWe8AgSIIGgI4Dvi169eumX\nGZPy4O98zvhseXL2dhnWr8SGZ05BmDy6qL88/0EvKS410TH671b279+v090iJbgZPt42necH\nEiABEjCZAG78MZ+DxT0CLgvopUuXapGM1I4///yzDBs2TKZNmyabN2+WLVu2aEt0/UmH7nWN\nR5EACQQLAVihYY02I2Y0mHWN369iRu+RmeemSrvwGhuMqzbGyZynh8qytfEqw5bNJlM+VFRU\n6CQs8JFGGlwWEiABEvA3AhDPcD1jcZ+AywIa8QGPO+44SxQORN5Ys2aN7sGAAQPk8ccfF6Ty\nZiEBEiABVwhAPCPxCkLEmVUmHJ0vT8/ZLsceVmhTJULfvfZZT+0fvSc9wmabWR8gniGi8Z0J\nUc1CAiRAAv5AAJHSKJ49PxMuC+jY2FiB76JRYDVC/GejjB07Vp8Y+NWwkAAJkIArBODSgfBw\nvXv31k+6XDm2sX1jompkziXJcttliQ2yGCLkHSYZvqriSZdWmO/WgT5hZjvcOvDUjkK6sbPE\n9SRAAr4gALdbvFg8J+CygEYc19WrV1tOAFw4kpOTdWxXdAduHPgRZCgUz08OayCBYCWAG3VY\no82I0mEwPHpYscxT1ugzT8ySNq1rjdUqekYr+X5dR+3WseKPOPXZssnUhaKiIouQRvx8FhIg\nARLwJQEIZ+bpMI+4ywL6iiuu0BZohKBauXKlTJgwQScTOP/882Xu3Lly4403ahcPROVgIQES\nIAF3CcClA0+4EGvZrBIeelAunZQpj9/ccJJhSVmIvPhxL/mPSgnuLbcOjANCeufOndpPmkLa\nrDPLekiABJoiAJ9niuemCLm+zWUBjWgbS5YsEfg+I5kALEWIurFx40a55557dBrI2bNnu94T\nHkECJEAC9QjgaVafPn10shIzonQY1Sd0rtKTDG+cliwd2lcbq/X77rRIueeFQbLwo55SWOIw\n15TNsa58QKQOCmlXiHFfEiABdwjApZY+z+6Qa/oYt34djj/+eG19NvKlX3755TJx4kTtCz1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A/rpTp07V+yRcOxBxJxoF7hmwLqO2tidr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\nBEiABEiABEiABEIg8P/qFigKIWSPbgAAAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for.analysis %>%\n",
" ggplot(aes(x = last.wins, y = hc.change)) +\n",
" geom_smooth(method = 'loess') +\n",
" theme_bw() +\n",
" xlab('Last Season Wins') +\n",
" ylab('Probability of Change') +\n",
" ggtitle('Probability of HC Change')"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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od98cUX9XfE3W6sNIdtY8e1rlPWT/21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2bJkfIJPs0P3iiy/GL6HY01pI6RGQr2O6EVPSuyJnQQAC+UZAY1P0Pa/vZBIEIAAB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\n",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for.analysis %>%\n",
" filter(!hc.change) %>%\n",
" ggplot(aes(x = last.wins, y = oc.change)) +\n",
" geom_smooth(method = 'loess') +\n",
" theme_bw() +\n",
" xlab('Last Season Wins') +\n",
" ylab('Probability of Change') +\n",
" ggtitle('Probability of OC Change')"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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p8d2QnpyuE1Lu5IAiRAAiRAAiRAAj4jQAHtM7Q933BxcbFUVlb2fMNskQRIgARI\ngARIgARIwGsCEV7vGeI7OhwOv10hztXV8+Xm5srYsWOlb1/fvvt0tX9+gxjAJyI7+zenO/8n\n7J8ttI7g82bvfhpeZmrv6PDd28rLOh++ROxfObnZZ2aO8Bc7O+cJewENv+Ly8nIpLCw098nn\n09ra2i5bkmGBRobC7Oxsn/Tz0KFDut3q6mqftB+qjRpuSMHep0+fUL1Mn1wX/g9ioCy52cNr\nxkT482+XvR4G5t74gcT/V3Kzd3+MsKivryc7e+i0wQz8wI7FewLmdxVBFKqqqrw/sBt7Ql+Z\n83bWTNgL6H79+klycrJkZmZ2xqrHtkOcQmh1teDmxsTESFJSUlebaPc4CHRYt+Pj49vdhxva\nEsBLWE1NjaSmpkpUVFTbHbimXQJFRUWSkpIiERFh/+eoXUaeNhQUFOg/9P782+WpH8G2DkIG\n4pnc7N05CAtwi46O1n/n7B0d3nvDaIZxTNAaLN4TgFaCeIbWiYuL8/7AbuyJ0MHefuH3rR9A\nNy6Ch3ZMAK4c+IPGQgIkQAIkQAIkQAIk4F8CFND+5d1jZ8NbErIUspAACZAACZAACZAACfiX\nAAW0f3n36NngBlJWVtajbbIxEiABEiABEiABEiCBjglQQHfMJ+C30pUj4G8RO0gCJEACJEAC\nJBBiBCigg/yGYiT+3r17g/wq2H0SIAESIAESIAESCB4CFNDBc6/a7SlGqSLJCgsJkAAJkAAJ\nkAAJkIDvCVBA+56xX86ANN8Ik8NCAiRAAiRAAiRAAiTgWwIU0L7l67fW6crhN9Q8EQmQAAmQ\nAAmQQJgToIAOoQcAmXqQXIGFBEiABEiABEiABEjAdwQooH3Htlda3r9/v86I1ysn50lJgARI\ngARIgARIIAwIUECH2E1Gmto9e/Z4ncs9xC6fl0MCJEACJEACJEACPidAAe1zxP4/QX19vezb\nt8//J+YZSYAESIAESIAESCAMCFBAh+hNLikpkfLy8hC9Ol4WCZAACZAACZAACfQeAQro3mPv\n8zMjSyFD2/kcM09AAiRAAiRAAiQQZgQooEP4hjc1NTFLYQjfX14aCZAACZAACZBA7xCggO4d\n7n47K0LbHTx40G/n44lIgARIgARIgARIINQJUECH+h1W18fQdmFwk3mJJEACJEACJEACfiNA\nAe031L17Ioa2613+PDsJkAAJkAAJkEDoEKCADp172eGVMLRdh3i4kQRIgARIgARIgAS8JkAB\n7TWq4N8Roe2Ki4uD/0J4BSRAAiRAAiRAAiTQiwQooHsRfm+cOi8vT+rq6nrj1DwnCZAACZAA\nCZAACYQEAQrokLiN3l/EoUOHZNeuXUz17T0y7kkCJEACJEACJEACLgQooF1whMcC/KH37t0b\nHhfLqyQBEiABEiABEiCBHiZAAd3DQIOlubKyMvpDB8vNYj9JgARIgARIgAQCigAFdEDdDv92\nBv7QtbW1/j0pz0YCJEACJEACJEACQU6AAjrIb2B3ug9/6N27d0tzc3N3muGxJEACJEACJEAC\nJBBWBCigw+p2t71Y+EPn5ua23cA1JEACJEACJEACJEACHglQQHvEEl4r4Q9dVFQUXhfNqyUB\nEiABEiABEiCBLhKI6OJxPCzECMAfOjY2NsSuipdDAiRAAiRAAiRAAj1PgBbonmcalC06HA7t\nD93U1BSU/WenSYAESIAESIAESMBfBCig/UU6CM7T2Nio/aEhpllIgARIgARIgARIgAQ8E6CA\n9swlbNfW1NTIgQMHwvb6eeEkQAIkQAIkQAIk0BkBCujOCIXh9uLiYiZZCcP7zksmARIgARIg\nARLwjgAFtHecwm6vffv2CazRLCRAAiRAAiRAAiRAAq4EKKBdeXDpMAEzqBB+0SwkQAIkQAIk\nQAIkQAKtBCigW1lwzo1AQ0OD7NmzRzio0A0MF0mABEiABEiABMKaAAV0WN/+zi++qqpKECOa\nhQRIgARIgARIgARIoIUABTSfhE4JIEshBhaykAAJkAAJkAAJkAAJiFBA8ynwikBubq7AGs1C\nAiRAAiRAAiRAAuFOgAI63J8AG9e/e/duqa+vt3EEdyUBEiABEiABEiCB0CNAAR1699RnV4Q0\n3zt37hSm+/YZYjZMAiRAAiRAAiQQBAQooIPgJgVSF2GB3rVrFyNzBNJNYV9IgARIgARIgAT8\nSoAC2q+4Q+Nk1dXVsnfv3tC4GF4FCZAACZAACZAACdgkQAFtExh3byFQWloqBw8eJA4SIAES\nIAESIAESCDsCFNBhd8t77oL3798vZWVlPdcgWyIBEiABEiABEiCBICBAAR0ENymQuwhXDrh0\nsJAACZAACZAACZBAuBCggA6XO+2j6zx06JAwvJ2P4LJZEiABEiABEiCBgCRAAR2QtyW4OtXY\n2Cg7duwQTFlIgARIgARIgARIINQJUECH+h320/U1NDToGNHNzc1+OiNPQwIkQAIkQAIkQAK9\nQ4ACune4h+RZa2trGSM6JO8sL4oESIAESIAESMBKgALaSoPz3SZQVVWlfaIdDke322IDJEAC\nJEACJEACJBCIBCigA/GuBHmfysvLZd++fUF+Few+CZAACZAACZAACXgmQAHtmQvXdpNAcXGx\nIE40CwmQAAmQAAmQAAmEGgEK6FC7owF0PchUWFRUFEA9YldIgARIgARIgARIoPsEKKC7z5At\ndEAArhxI+81CAiRAAiRAAiRAAqFCgAI6VO5kAF8HshUy5XcA3yB2jQRIgARIgARIwBYBCmhb\nuLhzVwggIseePXsoorsCj8eQAAmQAAmQAAkEHAEK6IC7JaHZISOiEaGDhQRIgARIgARIgASC\nmQAFdDDfvSDrO0T0rl27hCI6yG4cu0sCJEACJEACJOBCgALaBQcX/EFg9+7dFNH+AM1zkAAJ\nkAAJkAAJ+IQABbRPsLLRjgjAEg0RXVlZ2dFu3EYCJEACJEACJEACAUmAAjogb0vod8q4c1BE\nh/695hWSAAmQAAmQQKgRoIAOtTsaRNdz6NAh7RNdUVERRL1mV0mABEiABEiABMKdAAV0uD8B\nvXz9RkQz2Uov3wiengRIgARIgARIwGsC3RLQ69atkzfffFM++ugjfULE+mXxjsC/FmXJe19k\niHIHDvtiQtwx7XfYPwoEQAIkQAIkQAJBQSCiK73cuHGj3HjjjbJ06VJ9+KWXXipnnHGGTJ48\nWX7605/Kr3/9a4mOju5K085jkL3uyy+/lLS0NJk1a5YkJCQ4t7nPwI92+fLl7qvl5JNPlsjI\nyDbre3vFd9v6yhufZCvx3EdWb06Smy7aK/1TGnu7W71+fqT9bm5ulqysrF7vCztAAiRAAiRA\nAiRAAu0RsC2g4a969tlnS2Njo9x5551a5KJxCJ8zzzxT7r33XsnLy5NnnnmmvXN2uv6ll16S\np59+Wk466STJz88XLD/yyCOSmprq8di1a9fKfffdJ/3793fZPnPmzIAT0LV1Iv/zSLQWz+js\nxp2J8rO/jJOrv7dPTpxa6tL/cFzYv3+/fpYGDhwYjpfPayYBEiABEiABEggCArYF9JNPPqlj\n+EK0DhkyRC655BJ9mf369ZPXXntNBg0apMUuBG98fLxtBLA8P/fcc/KXv/xFpkyZIk1NTdra\n/c9//lNPPTW4bds2mThxojz66KOeNgfUOhjEzz6xSZ56M1IOHeqj+1Zb308ee2OofLMpWa47\nP1cS45oDqs/+7kxBQYG+74MHD5Y+fVoY+bsPPB8JkAAJkAAJkAAJtEfAtg/0mjVrZPbs2Vo8\ne2r0sssu0+IHcX67UlauXCmwPkI8o0RERGjL9scff9xucxDQY8eObXd7IG2I6Cdyw8WNcu+N\nW2VAf2WOtpSv1qdoa/SaLYmWteE5W1JSomNFwz+ahQRIgARIgARIgAQCiYBtC3RcXJysWrWq\n3WuoqanR29LT09vdp6MN+IQPK7a1QFBjgBkiNvTt21bzQ0DD5/qXv/ylbN68WcaPHy+33HJL\nm3bQBqzb1oJ16LM/Q6nV1tbKwPQS+d11ZfL6J0Pk01XZqkstltayykh54IWRMvuoA3LpaXsk\nJuqQtbs+n4crDgpY93YBJ/i35+Tk6Bep3u5PR+dvaGjQm6urq6WuzvXFqKPjuK3F/auqqsrj\n/23yaZ8A/o/iBdOff7va701wbQE7crN3z8xvAtw3yc4eO3xJx28rudnjhmcNBVoADP1RcB5v\nDXe2BfTRRx+t/ZPffvttueCCC1yuBw/H//7v/2oLcnY2RKH9cuDAAUlKSnI5MDExUQu68vLy\nNn7QEFg4Buf7wQ9+IMcff7yODHLzzTfLyy+/7DL4EKHS4FttLbB019fXC4SPvwoElhFcl5yy\nVY4YUSjPfzBWyqtaB14uXp0t321PkavO3iJjh5b5q2vO8xgh7VzRSzPgBHGFl6qoqKhe6oX3\np6V49p6VdU/8gWTpGgF//u3qWg8D8yhy69p9wW8D2XWNnb9EYNd6F7hHQQcYzeTrXvpUQF99\n9dUCP+jvf//7gkF6EM2xsbHyox/9SCCq8UMIf+WuFkTNcH/IzDKs3+4F0TneeOMNHa3DCKwJ\nEybIVVddJZ9++qmcd955zkNgyfzHP/7hXMbMq6++KhDoXbWYuzTm5QIs3sXFxc69ZxzRIBNG\nbpRn3x0qX61Pc64vroiRh1+bJKcdUyCXnZYn0X6wRuMhhd9xoEUvgUvH0KFDXV6InKACYAY/\nKBDPycnJAW8tDwBcLl0oKyvT9xXuWizeE4BBAJYSRCpi8Z4AmOGZa29QuvcthdeeEM7ght9Z\n/GayeE8ARjpYUzuKJuZ9a+GzJ35T8duK8XQxMTF+uXDcJ0+eDp5ObvsXCz9yH3zwgXaXeP75\n552f+uHWMWDAAC2uzcBCTyfsbB0iabj7T0Ok44+dp9B4EHvu1u4RI0ZIRkaGwB3EWiD0p0+f\nbl0lCxcu1ILHiG+XjT5awA1yFwvJ6u/R/B+q0H1rK+TZf+dIVa25NX3k46+yZN22FLnxwr0y\nfrhvLeV4WQFT9/75CIWtZnNzc7U7hz9fdrztoLGggps/nyVv+xfI++GPFZgF4jMXyNzw/xRi\nkM+bvbsEZmBHbva4GUOW+f9q7+jw3hsvH3CB4TNn7zkwLhz+/F3F3wZvS1uHYi+OhDhFmDpY\nUTHoD4IavsdIpHL55Zd70UL7uwwfPly3Zf6zYs8NGza08Wc2LUBsw9oMcWUKhHNhYWG7x5j9\nAnE6a3KZ/On2zTJ9fLlL9w6WRMs9T4+SF98fKA2N3t9gl0aCfAE/fLjPCJPIQgIkQAIkQAIk\nQAK9RaBLAtp0NiUlRWbMmCFnnXWWjoLRE5/9Tz31VN08XC3wxrZz504t0K+44gpzWu2GAVGN\nMmzYMG3af+KJJwSfNCGeH3vsMW2xPuWUU5zHBNNMSmKT3HXFLrnp4j0SH9PqOI/EKx8sy5Rf\nPDJWNu2yHyIwmBh01Fe8HOG5MINaOtqX20iABEiABEiABEigpwnYFtBIlAJflPYq3CTghjFu\n3Di5/vrrBb6rdgrcNHAO+FMjMcv8+fO1vzWyEZoCsfztt9+aRb3Prl279KBGDCSEhfJvf/ub\nePKZdh4UBDNIrPKgskZPGVPh0tv9xTHyv0+NUq4eg6S23vYtdGkrWBfg1oPoK/AtYyEBEiAB\nEiABEiABfxIwjrZen/O4447TKbvhuoEIFkcddZQeRAiLIGI1wwp94oknauEMN4+vv/5aPvnk\nkzZZAjs64dSpU7Vv8sGDB7Uvs7tDt0khbtqAWH/llVd0qDucHwO5QqWkJTXJL+ftlMXfpMkL\n70Ewq0DSuvSR/67I0MlXrr8gV4nsylC5ZK+vA37HW7duFSRcwdcQFhIgARIgARIgARLwBwHb\n5kuM+P7uu+/k73//uyCpCkQyrL3wg8Z6jDI944wzZPHixfL555/rT+0vvPBCl64lKyvL69GQ\nOAEs36Eknq3QZk8r0b7R7tbo4vIouf/5kfLoG0OkqsaIa+uRoT2PwRnwg9+3b5/XsRtDmwiv\njgRIgARIgARIwNcEbAto+CbD6nzDDTe06RsswXC5gKBGQUzmk08+WZYvX95mX66wTyA9uVFb\no29WvtEJsa2+0Whp6Zo0ufP/jZMV34WnJRYJceDS4a9YkfbvHo8gARIgARIgARIIFQK2BTSS\nlsDS217Bp3RrRIzRo0dr62B7+3O9fQInKN/oh+ZvlplHlrocXF4VKf/v1WHy4IvDpags0mVb\nOCwgvjZcOpBwh4UESIAESIAESIAEfEXAtoBGZAskKIFQcS+I2YfY0JMnT3ZuWrJkicyePdu5\nzJmeIZCc0CS3/WCP3Hn5TklNbEl3aVr+ZnOytkZ/sCxDRaowa8NjivCHGFCKaCwIe8dCAiRA\nAiRAAiRAAj1NwLaAPuecc3Tmq2OPPVZ++9vf6mgZ77//vvz1r38VDP775ptvZMGCBTrEGHyh\nkWAF0TRYfENgxoQKZY3eJCdPb81siDPVN/RTMaMHyYLHxsjOvFjfnDyAW8UAVLh0MLV2AN8k\ndo0ESIAESIAEgpSA7SgcSKICUXzZZZfJPffc43LZiMn82muv6UGEGNi1bNkyufPOO3VUDpcd\nudCjBOJiDsmPv58rx08ulacX5gjC3JmyOz9Ofq1E9JkzC+XS0w5ITHT4mKSNSwcyVWZmZhok\nnJIACZAACZAACQQ4AXxRxu94oAaHsC2gwRsiGm4cGLiFSBwFBQUyatQobYE2qSoRWqyyslKn\nTA3wexQy3Zs4skr+eNsWWbg4SxYuyZTm5pYPDEjA8uGXmfLV+hS5em6ezJgYPj7CSLaSn5+v\n/aKHDBniMR18yDwAvBASIAESIAESCAECCFOL8Mg9kaDPVzi6JKBNZzCY8LTTTjOLLtN+/cIv\npJoLgF5aiIxwyMWnHpDjlDX6qYWDVcbCBGdPSiqi5KF/DNeJWebN3SfZ6Q3ObaE+U11drVPE\nDxw4UL8Ahvr18vpIgARIgARIIBgJlJWVyZ49e3RUrUAW0LZ9oHEz3nrrLUFmwEGDBml/6NTU\nVJ062zoNxpsWSn0emFEvv71+u9x44d42Ie++3Zokd6mQd69/nC0NjX1C6bI7vBYMKkSWyu3b\ntzODYYekuJEESIAESIAE/E8AAQDgAhwMQQBsW6C//PJLufTSS3X2QUTbgG9pnz7hI8L8/zh1\n74xIwHLUuHJ56YNBOla0aa1JuXf8a1G2WpcqVym3junjXdOFm/1CcVpVVSVbtmzRzy6eX/dM\nl6F4zbwmEiABEiABEghUAnC3hNU5mMLQ2hbQb7zxhsTExMjq1asFMZ5ZAp9AUnyz3HzxXpmj\nInU8++8cyT3YGpWjsCxa/vTSCJk6tlzmKSGdHFcX+BfUAz3Ef1bENC8tLZUBAwYwFXgPMGUT\nJEACJEACJGCXABKgwd852KJm2XbhgHl9+vTpFM92n5AA2H/88Gq5/5YtcuU5eRIb3ezSozVb\nkrVbx5ufDZa6BtuPhUtbwbRQX1+vPxft2LGDbh3BdOPYVxIgARIggaAngGATyCsSbOIZ4G0r\nJYhnWJ8RWoQl+AhgbOfZxxXKn+/YJMdPKXG5gMamvvLeF4Pk53+dLEtWpyofJJfNIb2A/8Sb\nNm3SETuam11fLkL6wnlxJEACJEACJNALBPAVGMYrhKsLxmJbQM+bN08QyeB3v/udHiEZjBfN\nPoukJDbJLZfsVQMNt0lOVq0LkvKqKHn8zaE6fvTWvXEu20J9ASEZIaSLi4uDYhBDqN8PXh8J\nkAAJkEBoEYBghnCGgA7mYtsHetGiRToM2IMPPiiPPPKI5OTkSHx8fBsGa9eubbOOKwKPANw6\nHlBuHf/9qr+8+Um2VNe1PhI78+LkN0+MkVmTSuWHZ+ZL/xTXlOGBdzU90yP8587NzRVkM8zK\nytKRZjhQtmfYshUSIAESIIHwJQDvBUTZgN9zsJdWteTllWDQFfxGZ8yY4eUR3C3QCcCt46xZ\nRcqlo1Re+0+GfPZNlrK+tkZW+XJdqqzalCxzTyjQNVyyGeI/OIQ0rNIQ0gjTSCEd6E8z+0cC\nJEACJBCIBPBld9++fSHzdde2gL7hhhsElSX0CCTGNcsVZ++WOTMK5LWPh8t32xOdF9nQ2Ffe\n+ixbPlmZLhfOOSCnzCiWcMmVgxfGvXv3Oi3SFNLOx4IzJEACJEACJNAhAUS9gnAuKXEdd9Xh\nQUGw0bYPdBBcE7vYTQI5mbXy62t2yM+u2KmyFda7tFZeFalC4Q3WETtWbkh22RbqC0ZIw0e6\nsLBQpUrnYMNQv+e8PhIgARIgga4TQHQNRNkINfEMIj0uoJE9ZunSpV2nzSMDhsA0lVzlT7dt\nlsvPypP4GNdRsvuLY+RhlRb8N0+Mli17wmugIVw7kNFww4YN+q0awpqFBEiABEiABEiglUBR\nUVHQhqhrvYr252y7cKCpZ599Vh599FHtG9rY2DKwDMIZg68QDgzrgiENY/tYuMUQiIhwyLkn\nFMrs6SWycFGW/Gd5f0EWQ1O27o2X3/59jMyYUCaXnrZfRfQIHzGJz1L4A4HaT/mzxMbGSnp6\nukHDKQmQAAmQAAmEHQF8nYXbYzBlFezKTWpVQl4eDevyddddJ+vWrZOhQ4dqv1BE4sjIyBCk\nSEZa5Mcff9zL1rhbsBBIiG2Wy8/Ot8SPdg0S/fXGFPnZI+Pkb68PkQPFUcFyWT3WTzz7sEoj\nRTiid9Aq3WNo2RAJkAAJkECQEMBv4ebNm0NePON22BbQ7733nhbJu3btki+++EImTJggl1xy\niaxfv15/0ka0AljjWEKTQEZqo44f/YdbtsoRIytdLhKRO774Nk3u+PN4+fu/BktRWaTL9nBY\ngHBGtk74SW/btk1bp+krHQ53ntdIAiRAAuFLAF4HJjGK8UwIdRq2BTSCX8+cOVPHfwacqVOn\nyooVKzSnUaNGyQMPPCB33313qHML++sbPrBW7r52h/xq3g4ZNsA1K+WhQ31k0ap0uf2h8fLc\nu4OkrLJLnkJBz7i6ulr7SH/33Xeyc+dOKSsrE7h9sJAACZAACZBAqBDAuCCTGCWc3HdtKxuE\n8KqoqHDe97Fjx2qfaLNi1qxZ2jcaIUvg2sES2gQmj6mUSaMr5av1yfLGpwMkryDGecHwlf5o\neYYW06cdU6RjSCMDYjgW/J9BhYtTQkKCJCUl6RoVFX7uLuF4/3nNJEACJBCKBBDbOT8/Pyyj\nUtkW0OPGjZPXXnvNGRMXLhzIKgOH8SFDhmg3DoiEyMjw+3wfiv85vLmmPirnyrFHlsvRE8vl\ni7Wp8tan2XKwJNp5KGJIv/9Fpvx3RX+ZM71YvndSgaQnh0dWQyeEwzOwQBsxjVUxMTFOMY2M\nnkzU4k6MyyRAAiRAAoFGAG4aSDRmNagGWh993R/bAvrKK6/UbhqjR4+Wd999V+bMmaNTeV94\n4YVywQUXyDPPPKNdPOALzRJeBNR7k5w4tVSOU6m/F3+TLv9SUTuKy1strI1NyiK9IkM++Tpd\nZh9VIucpIZ2ZFvzpPLtzlxEjExXZDjF2ACIaFmpURPWgoO4OXR5LAiRAAiTQ0wTgjggvA0Re\nC+diW0Aj2sbbb78tCxYs0D/8cOlA1I1rrrlGVq1apS3P999/fzgzDftrxxjSU44ulhOVSP5U\nZS585/NMKa1oFdLNyrXj06/7yyIlso+fXCrnzz4oAzPCJ/xdew8IBhtardP4khMXF6dFNYQ1\nKgfotkeP60mABEiABHxJAL9RsDpDQLOI2BbQgHbcccfJkiVLnLGer7jiCjn99NNlzZo1MnHi\nRBk8eDDZkoBEqhjSZ84qklOVmF70TZr8e0mmFJa1unZgsOHna9Jk6bepMm18ufaRHjvUdUBi\nOGOEuwdCAqGaEh0drd0+YJ02lX7Uhg6nJEACJEACviCAmM4Qz+Fudbay7ZKANg1YPy/DZePM\nM880mzglAScBJGM57Zhi7f+8VIW5W7g4S8WKbhXSCH+3SsWRRh09uFrmnlgg05WghksIiysB\nhMlDtQaoh1UavtRGXENQYx4VVmwWEiABEiABEugKAQhmuGvQ6tyWXpcE9Pvvvy9//etfdbBs\njMD0VJCRkIUErATg2jF7Wonyky6RL9elyNuLs12idmDfbbnxOkV4Vlq9yoBYICcpN5CoSNek\nLdY2OS969DNC5qG6l4iICC2uMagXwhrLmEc186EgsvFpEX/oMYXl3sybqXUd9kGoJVOty9gP\nXPBSAi6omDcVLyrG8h8K3NyfFy6TAAmQgCEQzhE2DIOOprYF9JdffqkHC+KHCTGgjz322I7a\n5zYSaEMARtHjp5TJcZPLZNWmJHl3aaZs3ZPgsh+ieDzzzmB5/eMB2p/61KOLpH9KeEbucAFj\ncwH/T60uIJ4ON+LQCEezjCnWQSjia5N1aoSl+QrlPsV5zDojVM25TZxQTCFYa2trnQIVy2Y9\n5k3FdZh5TK2CGfM9WXAu1I4Krg0Wfohp+KbDVx3imqK6I2rcRgIkEAwE8JUTkdU8GWWCof/+\n6qNtAf3vf/9b/3ht3LhRENKOhQS6SgDh72ZMqNB12944LaS/3pisBJTacLhU1kRol493lP/0\njAnlcsaxRTJxZKtPsNmP064TgABFRTD83igQ+BCiEOzBUiDyTQSV0tJS3W2IaojpxMREXXFN\n5iUiWK6L/SQBEghfAvi7dvDgQV0xz9IxAdsCGim8kSyF4rljsNxqj8DoITVyx492K9/oKB0z\nerEadIiwd6ZAVK/ckKJrTmatnDGzSE5QIfNiopjZzzDitHcJ4AfHDPpEOne8ECAcoRHUsFiz\nkAAJkEAgEoDbbV5enjYMBGL/ArFPtgX0lClTZNmyZYF4LexTCBDITm+Qa8/bJxeful8+/qq/\nfKJqaaVrUp59BbHaveOV/wzU/tRzZhTL0AF1IXD1vIRQIgCrPgZ7mgGf8Ds3Mb4xpaAOpbvN\nayGB4CSAhCgQzhwkaP/+2RbQN954ozz11FNy6623yp/+9Cf+CNhnziO8IJAU3ywXzjko5590\nUFudP1JZDDfvdvWTrq3vpxOzIDnL8IE1AiF9nIorHRdDq7QXiLmLnwnghwruHsblA4M6jaCG\n6wcFtZ9vCE9HAmFMAGNJCgsL5cCBA3rcSRij6PKldyqg8SnSPTxdTU2N/O1vf5PHHntMhg4d\nqj9Ruvdg7dq17qu4TAK2CcAtduakMl337I+R/yzPkGUqXTjSg1vLrvw4ZZWOkxffHyTHHlEm\nJ6uU4RNGtI1KYT2G8yTQmwTgc15SUqIr+oEBmxiMaCoT5/Tm3eG5SSB0CeCrGKzOvTXuJVTI\ndiqgzWhz6wUPGTJEUFlIwJ8E4Kbx4+/nyo/OypfFq9J0lsP9xTEuXYDfNGJNoyIU3vFTVGpx\nVQf2Z6ZDF1BcCDgCiPxhzUSJDsJKDSGNCB+oENdwBWEhARIgAbsEMPAZwplhhu2S87x/pwI6\nOztbVq5c6floriWBXiCQENusYkQX6rppV7wsWpUuK9antLFKIxTeW59l6woXD4jpmZNKJS2p\n4xBlvXBJPCUJeCQAC5G7lQiDEyGm8WMIgY1Bioj4wRB6HhFyJQmEPQG4j8GbAO5jjK7Rc49D\npwLaeioT4gSi2lqQpWbHjh1y0kknWVdzngR8TmD88GpBnTd3n3ypXDs+U2J6Z15cm/PCxQP1\n5Q8HyoThVdpX+uiJ5ZIQ17MxhNucmCtIoIcJYHAi4rPCWo2/yYijjQIxDSFtKkQ2/ap7GD6b\nI4EgIoC/FQUFBdrXGT7PLD1LwGsBvWTJEsEAwkmTJsk///lPl1688847csstt8iRRx4pb775\npowZM8ZlOxdIwNcEMHDwVJUuHHXvgRhllU5T2Q5TpbzK9XM3wuFt2Jmo69PvOLSYnq7iSyPG\ndHoyE7X4+j6xfd8RMNZqE/UDZ4JVGsIaFWIaFS4gmGIdrda+ux9smQR6iwBerDFAEDGdIaJZ\nfEPAKwH9+eef64GE+GQ4e/bsNj1BXOh58+bJiy++qGNEf/XVVzJy5Mg2+3EFCfiDwJDsOrnq\n3Hy54ux8JZQT5ItvU3UkD0TtsJZDh/rI+h2Juj7/bo6MGFSjhHSZzFCW6ZxM+kxbWXE+OAnA\n6mQSvni6AriDYJwLphDT7rWjRDDYF8ehmoyVJpslxDnWs5AACfiPAIQz3DQQWcPd9ct/vQif\nM3kloOfPn68HssC6fM4557Shg5Tezz33nFxyySUyd+5cWbBgQRsrdZuDuIIEfExA/b7LkaOq\ndL3u/H2yenOSjuCBaVOzaxQPdAWuH6j//HigZKfXy+TRFTJpTKVMHFHFhC0+vldsvncIGOtU\nZ6nLu9I7uJKYMH2YUlB3hSKPIYHOCRjhDIsz0nCz+IdApwJ6y5Ytsnr1arnttts8imdrN886\n6yyZpyzRzz//vH77gRWChQQCgUBkhEOOOaJc15q6vvLNpmRB2vC1WxOlvrGtpexAcbTKipih\n40z363dIxg6tVoK6UtehA2qV1S4Qrop9IIHAJQDfbFR8SkaBoMaAR4hpTDuybgfuVbFnJBA4\nBCCcEQoTfs4Uzv6/L50KaAwORDn33HO96t0pp5wizzzzjB5UOH78eK+O4U4k4E8C8JdGGnDU\nhsY+8t32ROXikaws1MlSWdP2v0SzslZvVH7TqK9+JJKc0Cjjh1XLuGFVqlbLkOyWQVz+vAae\niwSCjYAR1Pixh6tHamqqpKen64giwXYt7C8J9CYBCOfi4mLt44wIGyy9Q6CtWnDrh4m4YUZ6\nu21us2j2o3WhDRquCEACUZEOmTa+QtdDh3JVtsN4WaWs02u3JkleoWuMadN9DExE2DxUlNjo\nZhmZUyEjB5Upd5F6GTO0XtAuCwmQgGcCcBmBZRoVsa0hpCGoOajRMy+uJQEQgMsVhDP+31A4\n9/4z0amAnjJliqSkpMiHH36o/Zs76/JHH32kP80NHjy4s125nQQCigB8ppG9UGcwPCdfisoi\nZd22RFm7LUnWb0+Q6jrP/10wOHH9jlRd3/kckQ8cahBinU4vPmJQrR6cCLcPiuqAut3sTIAQ\nQGZbVCR4MFZpiGoWEiCBFgJwzygqKtLimeHoAuep8KwILP2DReCEE06QhQsXyl133SUjRoyw\nbHWd/fLLL7XQPvXUU/WgQ9etXCKB4CLQP6VR5swo0RUhNHfsi1NiuiUE3vbcOEHWQ08F0T32\nHojVdcnqlj369GkR1cMG1srgrDoZpAQ2RHZGSoMS3J5a4ToSCC8CEAawrqEizB6s0mlpadrd\nI7xI8GpJoIUAMgbC2oyY7yyBR6BTAY0u33PPPXLaaacJom08/vjjcvHFF7ukky0rK5NXX31V\nbr/9dj1A5Pe//33gXSl7RALdIACRO3pIja4XnXJQmpr6yI68WNmyO0G7fWzeEy817ViocVrE\nn849GKurtRuREYdkUAYEdb0W1QNU9I9MlYI8M61BEpnkxYqK82FEABa3/Px8nT0NAw4hpJOT\nkznwMIyegXC9VLxIIhQdLM7GJTZcWQT6dXsloOHGsXjxYoFl+Uc/+pFcddVVMnr0aMnKypKt\nW7fqP3S40COOOEKQVKUjK3WgA2H/SMAbAhEqqsfYoTX8Y38uAABAAElEQVS6fk8l4KypqZXd\n+ZGSW5Ahuw8kyC4lriGYm5U1uqMCK/bu/XG6uu8XE9WshbQW1KkNkqFqamKjpCapmtgkKWqe\nbiGt1PCVAINAK2v6qZcZS609PK9cbarVPAaO4r40N7tOm9SyGpsj0VGHdNhC+LbHYD4atVli\n1XyyYp6d3iBZ6iWH7FvZ+2oOg6VgfUM1Aw+TkpK0oYbjbHxFne32BgFkF8XXFyRCMuEle6Mf\nPKf3BLwS0Ghu4sSJsnz5cnn99df1dMWKFbJ582adMAXxn6dPny4/+clP9B8270/PPUkgNAgg\nrN2gjGoZM0zUD32pvqhGZaVGVsRdiC+dH6tjTOcVxLTr+uFOoq6hn9MVxH2bWY6PadKCOkUJ\n6qT4JpWavElbrs00PrZlOS4WAlAJQiUGoyMPBbTbCKz7dY19tditUmK4qjbCdV6tg1DGtgoI\n5uqW+WolmkU6fmEx3Lo/dUiaepFBvPAsJagxRR2ufN4z1YsOS88TsA48RExphMODmIaFmiFT\ne543W/Q9ATzTsDZDOCPhEUtwEfBaQOOyhg0bJj//+c+dV4jPC4jtyUICJNCWAGJPj8yp1dVs\nhZW0oDRK9ikhDTFtpnmF0VKvBLPdgoGNqPsK7Bzp0CJaW1aVVRUW1yjlSgKrOvocqeJeYz6i\nH5ZbxHZf5cONlwTU1vmWdXBPOaQst7DeWufhCw5LLyy7sPa6TNX6BiWSYQ2uq1fzTbAM91Ux\nufvqNuxcTe/s20dKKqJ03bjLtQeJ6iUGWS1H5rRUzKcmNbnuxKVuEYCFDpY6k7Y8JiZGu3jE\nx8fr3ySkK2chgUAkABcN+DZDOMP9lSV4CdgS0O6XSfHsToTLJNAxAfhSwwUAdboKn2cKxGdx\neaQUlEQpgR19eIp5VUuipawS/1V7yrraRyePQQKZctOBMJn2UxFSopUlHlmmMY+KF4V+qiJ6\nSl+FuL6hr9TW9xV8AYCot1tgHUfkFlRTUpMaZPTgGmfs8GEqKgsHjxo63Z+6pyuHuwd+nyCs\nMTXzdPvoPmu2YJ8AXJEgmiGY8dLHSBr2GQbiEd0S0IF4QewTCQQjAVh2EfUDdYJUt7kEWGpL\nKiKlFLXy8FTPR+jlcrUO7gzw8YXlN9QL/JNh6U1UbisYbNk637Icr1xW4mJcK9bZ9VvGF4M6\nJajrlP90jRLVxWVRKkMlslRGyUFM1csNXno8pYa33oNSZa1euQG1JXY4/NvHDEEynmoZq+ro\nwdW2+2Ztn/OuBPBpHIIF1VoQ3QPuHvh6ighTmMc6VBYS6EkCVkszBgQibjONjj1JuPfbooDu\n/XvAHpBApwQg/IzluqOdYcmG9dT4CFfBR/jwoDpYVFutq7CyqmVYWpWVtRH1sJtFkxrYCP9t\nuFxgCjcMuGag7RZXjZZ5rGspLa4csN4iXJ928zhszYVVFxZeU2Hp1RZftR7uInAf6denQWJj\n+ij/bIcSkS0+2lgPAZygRC/8uTGNV0I5Qfl8QwjDguyPAisxMleipqkT5qhoKZPFVZRBZOPr\nwV41aHSnCnWIcIc7lN87fLPbK7gX67Yn6Yp9kC5+uApxOF5lt4SgRup4RmFpj17X1yO6B6zV\nENYQ2abAMm2ENKzW1nn4W7OQgDcEzLOFQa8YFGgszWbqTRvcJ3gItP8XPniugT0lARI4TADi\ntUXwIVJEcGCpqqrSlplgFSoQ2RmpjbpOG9fqloNEPFpMK0G9HTU3vl2XEKSLx3bUd5fivjnU\noNR6JaZVunglpkcp948B/ev1y0lw3NXg6iU+sRs3EONXba4A/tQQ1JjCYo1qXcfsiYZU+E3x\nEoa/X3ghg2hmdsDwegY6FdCbNm2Shx56SO69914ZMGCANDQ06BAr/BQRXg8Kr5YESMAegRaX\nnHI55ogWT/OmZtERWRAzfPOuBNmipogw4rn00ankkU7+s6/7613g9oFEPBiUiAyXGcmNKuJH\njefDubbHCEAUdSSM4G9tKl4CTcU6zGMKkY2KZff5HusoG/I5AbxkwbKMzJmYYpklfAm099fb\nSQRxnp955hm59dZbtYD+v//7P/n8889l0aJFzn04QwIkQAIk0DGBCOUJYJLxzD2hULvE5BVE\nq0Q8CbJpd7wS1AkqfXxUu43A7QP7oraUoSqaSouoHpJdJ0Oya2WIynI5WE3xFYLFPwRghbS6\ng9g5K1xHIKjdBbh12QhxI8aNQLdzHu5rnwDcfVCNWMaU8ZntcwzlIzoV0CNHjtTX/+CDD8oN\nN9ygM0Phk8Xq1YdzFLdD56ijjmpnC1eTAAmQAAnA3SYnq17XU48p1kDgS71FiWltpVZCOfdg\nTIdh/RBJBcIb1Vr6qxTxQ7JU2niLsB6gMl5CxLMEDgG4jkCUoUKseVuM8LZatI1l21i6sU9X\nK9ow5zDthaIfL/jjq7px38E9wABTLGMbCwl0RKBTAY0EKieccIL84x//0NU0Nm3aNDPrccqH\nzyMWriQBEiCBdgmkK7eMWZPLdMVONXXwjVaJeJCMR9VdKiFPoQpz2FmBJRt19ZZk564YqDhQ\n+VHDWj1YiWtjtYarCUtwEbAKb3/1HCIfxjP4gyN5jbGEm6kR2u7L7uuNMMfUF8XKBqLffCGA\nGw7EsnXa1S8Hvug32ww+Ap0KaDzkn376qXzyySeSl5cnb7/9tmzfvl3mz58ffFfLHpMACZBA\nEBGAK8ak0VW6mm4jAyOE9KadfWXP/kTJL0rU4fRao6KYPV2nGKiI9PKoIqnOjQgJOBiuH4ct\n1mY+KV45bbOQgBsBCOnO/MLdDml30d2CbkQ1pp7mIY6Ncc7MYwqhbMSy2d7uSbmBBHqIQKcC\nGufBiOOzzjpLnxKfOL755hu58cYbe6gLbIYESIAESMBbAgkqnN+Ro6pkaGaFFhPJyck6oyOy\nWu49EKvTx5tpRXXnGfkQznDr3nhdrX1ITmg8LKzrVPi+Ft9qTOlfbaXE+e4QMO4r3WmDx5JA\nbxHwSkBbO3fzzTfrRXz6WLx4sWzZskW/jU6ZMkVQU1JaEgVYj+E8CZAACZCA7wggTjgic6Ba\nS3lVhBbUsDrvPdAisCG0vcmwWF4VKajrdyRam5T05AYtrCGmcw5brhFyD6nhWUiABEggXAjY\nFtAAAwv0vHnzZP369W043XffffKrX/2qzXquIAESIAES8C+B5IQmba2GxdoUJH5BinhYqTFI\nMffwdL/KrOhNFsvi8iiVOCZKvt3amqoccavhS60t1coVBMIa6coHKZHNgYuGPKckQAKhRMC2\ngEYu9/POO0875j/88MNyzDHHSEJCguzevVueffZZWbBggSCTE32kQ+kx4bWQAAmECgEVYMGZ\n1fLoiS0xqnFtTSrrZF5h9GE/aQhrVZXALtSh9Tob8NVHD1rEwEWrsMbARYhqiOmhqrZM63Q2\nyVDhyesgARIITwK2BfRTTz0lENEIYzdmzBgntUmTJsn3vvc9+fGPfyyPP/54UAloMyjCeTE+\nnoH7C84ZiMUMzAjU/gUiM/TJhHjClOzs3SUzCMjeUdzbEOip5w1BEXIym1StlplHmtZF6lS6\ndyR0gRvIvgJVMRBRuYGUVbYfs9ocjYGLe/bH6WrWYZqVXidjh1TJmKEqdfmQahmoQuz5q5hB\nZj3FzV/97u3zmL9x4Ed29u4G2PG3wR4z7G2eOTxvHSUzst9y+0fYOY9tAb127VqZPXu2i3i2\ndgWxop988knJz8+XgQMHWjcF5DxuEOI+IhWnv4qJM+mv89k5Dx5UjH42D66dY8N5X/ODgjBJ\nZvR4OPOwc+141jA4mdzsUFNOE4fj1PojG9qg/jUyCAkRJ7b2saaun4oAEqfEdZzko6r5/MJY\nKavqPMzeweIYQf18TUuWxYTYRhmVU6FSllfK6MEVylJdpVw/fBOHF9xQ/cGtlVbwz5nnDf9f\nyc7e/QQzPnP2mGFvo0PwvNkRtvbP1HoEDJzmWW9d63nOtoBG2BmIhPaK2WYERXv7Bcp6xKiE\nC0paWprfuoQUoPHx8X47n50T4UGFkEGsTxbvCeClCM8+3JeQOYzFewKILRsbG6vjynp/FPes\nqGiJwtFbf0vwJywj/ZBMHgv/6lYf6+rafnrA4u79sbJbhdvbo6awWMMa3V6pqo2Ub7el64p9\noiIPyRhlmZ4wvErGqzpqcI1ERvSMoMaPIwwmvcWtPQaBvh6/6fi/Cg1AdvbuFn4bwA9/51i8\nJ2CSC+F5i4uL8/7AbuwJoe6tMcf2L/306dPlrrvukpUrV8rRRx/t0k38YfrjH/8o/fv3l8GD\nB7ts4wIJkAAJkEDoE4iPbVait1pXc7VNymMtT4loiGkkhEHYPAjs9gYtIkoIon+YCCCREYdU\nGvQWQT1uWLUW1DFRjPph+HJKAiTgfwK2BfR1110nGDwIN47rr79ei+ikpCQ9iPD555/XvtEY\nTMhCAiRAAiRAAiCASBxDB9TpeuJRpRpKXUNLlsXNKnX51j0tcajrGjznGm9s6isbdybqioP7\n9nXoAYnjhikf6qHVuqYkNul2+Q8JkAAJ+IOAbQGNTxDLli2Ta6+9Vh555BGXPqampsqjjz4q\nV199tct6LpAACZAACZCAlQAsyEeMrNIV65WbqA6tt3FXvGzalaBrVa3nnyhYrk168w+WtbSa\nlVav3T6Gq1jYJuIHrOEsJEACJOALAp7/OnVyJgwO/PDDD2Xfvn2yadMmKS4ulpEjR8r48eO1\nP3Enh3MzCZAACZAACbgQUMNRZNhAFepO1bOPK1IDeUSH0dt4WExjWlnd/k/WwZJoQV36bWuz\nGSn1uj0tqFW7A9LrJSO1vnUHzpEACZBAFwm0/9fIiwZzcnIElYUEukIAjvoYxImKgmVTsc44\n8mNqRsWaddbzYZupWG+dN6OfzdS0Yz2e88FLAM9JZGSkHriJwZuoWMZAJ2zD1MybZfOM4arb\ne57wvHiqGAiEUdrWinUYeGJn9HbwEvdfz9V/exmSXafrmTOL9InzCqJli3L32Lw7QU8hmDsq\nhWXRKo51tHy9sTVDbp8+DklJqJcB/RtVOL0GgeU6K61BxcZWU1WZqrwjotxGAiRgCHRLQJtG\nOA0/AhAeRqgY4WIECpaNaDHz2B/brdWTePE1SSOuMXUXSBBCRmhjapbNfljGcZ7W47p643p8\nzcuf7VufDTw/5rlyF8jW9YHGHKPtMXIcFfOIamOW/ckyVM81KLNeZTeslzkzSvQlllVGHBbU\n8WqaoKN/NHUQ7QMHORx9pLQyRteNu9qSSopvPJxopl6y+6uqRDUs15iPZbrytsC4hgTClAAF\ndJje+PYuG+IEgiUxMVELmKioKL1sxLKZQuAEY4HgMqKrJ6+hvLxcampqBOMAwNCIbjN1F+xm\n2Uyxn5kHVzOPqXs127Hefd4sY4rrNMeaZbPOLGOKYphg6mke4tbsZ/YxU7PNvESYqXW7WWed\nYh4ViZnADc9WsBf8f0HF/x9rwX1AqEM8IwhjiQqBzdI9Ahg4eMwR5bqiJfWOq5O+mBB6mO5R\nofSq67z/qauojhRURApxL8kJENewXh8W1oensGQzKog7LS6TQGgT8P6vSmhzCIurg6Axgtj8\n0LsvI84nRA3jfHbtkQA7CGgW7wmAGZ7NUC64PsQxRUWYTxS4fBhBjf93mDcvRaHMwpfXhvd6\n4/Zx4tSWaB84X0FplMqgqJK3lESpBC5RKqRePymuiJcCtdyZxdra3/KqSEGFtdu9QFzDFUS7\nhCiRnXl4PjO1QSD0Q/wRd8fBZRIIeQL8pQ/BW4wkKKZCICO5hxHMoS5UQvB28pJClABetBAC\nFBUFXyEgpE2FxZqCumduPkQsKgqYIpEKuOMjTnF5pB58CGG9vzhaDhSpqqbwr0Y8am+LEdee\nLNf9VNi9tKQGSU9plPRkVDWvpmlqmpLQJInxqsY1K/9rZIL19ozcjwRIoDcJUED3Jv1unBtW\nOwhjVIhlMw+hTJHcDbA8lAR6iQD+T1sFNXztjZjGFIKapWcJQKz2V6IWdeII17YhrksrIi2i\nulVgQ1wjNrW3pVmF3TMDGjs6BvGtE+OaJEGJaT1VYfiio5olRvlew0UENVpPW9ZFqeyMSDLT\nUh06gyMyNmI5KrJ1GqWW1ePFQgIk0IMEbAtoZBrcuHGjXHXVVTJ79myKtR68GZ6aghiGQEb8\nbYhkM4VQZiEBEghdAvDRT05O1hVXCQs1RDT8p+HugXn6Ufvu/kNcp2krMcR1a6rylnvRYrmG\npXq/slhDUMM9pODwtL6dhDCd9RbxrY0lu7N97W6HFbxFWLeI65holVpaifFYZfXG4MhYLB+e\nQsDDJSVJWcZhIU9SNU5tZyEBEmglYFtAI2zdfffdJy+88IIMGzZMrrzySi2mR4xwe31vPQfn\nvCQACxQEMvwkrWIZ61lIgATCmwD+DmBsghmfgL8TENAYsIhoH6gQ1Yj6QdcP3z4r+JOckdqo\n65GjXMU1zlxeFeEU1PC/hptIcVnLtETN2xnU2FNXAit4sxL27WV77Ow8CP+XENuohXVmapP0\nVy4xLdb7BslIwTx9vTtjyO2hRcC2gP7hD38o3//+9+Wdd96RF198UYvpe++9V44//niZN2+e\nXHzxxW1GoIcWsp65GjOoyAhmI5p7pnW2QgIkEA4E4EdttVLjmiGerYIa1mpUWLBZ/EMgWVls\nUccMqfF4QqQxLy6LlBLlIoLkMBU1EXpaWdPv8FQtq/maWiV4G1Wt72vLZcTjSbu5EuH/Kmui\ndN1X4Lmxfv0OaV9zRCrJRoxtPW2JWAKRjUGeLCQQKgRsC2hcOKyjl156qa4HDx6UV155RV5/\n/XW57rrr5NZbb5ULL7xQp/OeTRcPj88JxPKkSZPo/uKRDleSAAl0hwBezvFijorwgChGVBsx\nDTcQiGyW3iEAX2YT09rbHuD9B8K7pfaTejXf2NRHJfHpKw2YKp9svaymDY191Dq17Jy27oOB\nkdheW99PVdWemtYcnqJtCOWulmYVg3t/UYyu7m3AvxsielBmneSoiumgDMT1rmN8bXdYXA4K\nAl0S0NYry8rKkvnz58sZZ5whTzzxhDz22GPy0ksv6TpmzBi5//775YILLrAeEvbzHOQX9o8A\nAZCAXwlYRXV6ero+txmkiBjmFRUVOqyeXzvFk9kiALcRZElsyZTYZOtYb3fGwEkI8wplFS9H\nVa4oFaqWqdB9ZRX9pKRcuadURyvLeay2ntsR2/DvbvEVj5bVm5NduoQIJXihGJJVK0MG1MrQ\n7BaRHaEGRLKQQKAS6JaA3rt3r7Y+v/zyy7JhwwYdKg1i+eqrr9aZ6B5++GFtjX722We1e0eg\nQmC/SIAESCDcCLgPUoRVGkIagprW6XB7GlquV328aIn4Ea3C/qk41tZiXrjgNgQ/fFjE4YJS\nqHy8i5R/d6GqRcotRYcAVIMr4fetUjRZm2h3vqQiSrUVJd9tb01ABIv1wIw6LaaHZitRPbBW\nhg+sUQMbOZixXZDc4FcCtgU0/ri+8cYbAtH8+eef60+DU6dOlUceeUTgH22sG7iK0047TcaN\nGycU0H69pzwZCZAACdgmYAYoDhgwQA9OxN/60tJS7T9tuzEeEPIEYBE3IQBFqttcL9xEkKjm\ngIpMYmJr56uIJXkFMTrSSJsD3FbAYr3vYKyuy9a2uCJhFwxWHDGoxlJrddg/t8O5SAI+J2Bb\nQMOqfM899+hsWj/96U+1tXny5MkeO4pR4/hjDDcPFhIgARIggeAggDCZGRkZuiLSB9KtQ0wz\nFnVw3L9A6CXiUOdk1evq3p8qNTgyr6BFTENQ5xXGSK7KFFlc3nl4Vli7UVduSHE2m5FaL6MG\n16hBm9UyWk2HKUt1BAcsOvlwxjcEbAvoadOmyVtvvSXnnnuudtnorFuLFy/mYLnOIHE7CZAA\nCQQoAYjpzMxMXREiD2IalWI6QG9YEHQrQSWIGTu0Rldrd6uVsN57IEb2HIiVPftj9XyuskJ3\nlhGysDRauZJEy/J1LZZqxLserqzUENNaVCthnZbkG79xa/85H14EbAto/OFcv369DmXnCdXC\nhQvltttuk82bN+tR4Bww54kS15EACZBA8BFAUid8UURtbGzUKbGRJZGDEIPvXgZij+OVsB4/\nvFpX0z/4WsMNZFderOzcFyc78+P0fEfxrBGRZOueBF3fP9xQVlq9jBtWpdvGFGH2WEigOwS8\nEtCFhYXOjFdr1qyRlStXSl5eXpvz4lPfBx98IBhciEEoCKPEQgIkQAIkEHoEIiMjJS0tTVdc\nHf7mV1ZW6opweU1NtPiF3l33/xXB13pg/3pdj5tcpjuAaCHIALkzTwlqJay3K2G9S813lF7d\nRABZsrolCk1KYmOLoB5WrTJNVnp0NfH/1fKMwUTAKwH93HPPyS9+8QuX60JGwvbKlClTnPFH\n29uH60mABEiABEKHAPIDoMJ3GgVRG2BUgaUaU7h/mHlMIbCZMTF07r8/rwTRQgaqGNKox08p\n1aduUsE54PaxdW+8bNM1TkUGiW63W2WVkbLiu1RdsRNSlx8xskqLaUzdo5C02xA3hC0BrwQ0\n4jzjjx3+6C1atEj27NnjMSwdwtsgcD+yEbKQAAmQAAmELwGEyTMJXdqjgOyI+G2B2EbFPKpV\neGMe6yi226PI9SCAQYMjc2p1PWtWkYZSVhmhBfXm3fGyeXeC7MqPbTdRTLmKdY1oHybiR0ZK\nvRyh0rQfObJSTSsZPo+PWRsCXglofKpbsGCBPhhh6TZu3Ci//e1v2zTGFSRAAiRAAiTgLQFE\nasIgRW8KDDioGLyICpcRTCG8WUjAE4GUxCY5emK5rtiOlOhblHV686542aQE9Q7l+tGe2wes\n14tWoaarQAgOFYO6ViaPqZDJoyvV4MRqpiX3BDzM1nkloK1MkMKbhQRIgARIgAT8SQCGHNS4\nuDiX08JCbcS0EddwF2EhAXcCMdGHtACGCEZB6vNte+Nkw85E+W6HEtS58dKs4k+7F2RcbPG3\njpO3F2Wr1OPNyt2jUrc1ZWyFjoftfgyXQ59ApwI6Pz9fTj/9dJk1a5Y8+eST8uijj8rjjz/e\nKRlE6mAhARIgARIgAV8SgAUbNSkpyXkauIZgICOENaZGWDt34AwJKAKRKlX4hBHVul58qrJQ\nqzTmcPdYrzIirt+ZoH2qPaUrr63vJ19vTNEVIIeoTIlHjatQtVxG5dQIBj6yhD6BTgU0PrEl\nJCTowSHAgT9UWGYhARIgARIggUAkYH63rL9V8KGGCwhE9cGDB/XvGKzXpmIbS3gTiIk6JFPG\nVOoKEpU1/XR68bVbE2XdtiQpVQMPPZW9Km416sLFWZIY16SOh5hW7h5qGhej4vCxhCSBTgV0\ndna2rFixwnnx119/vaCykAAJkAAJkECwEEBOAhiA4AYCEY3kMNYCq7UR03ABMfOYYhnbWcKL\nQGJcs8yaVKYrrhxJXtZuS5S1W5O0pbqpua2pubImQpZ+m6Zrv74OmahcPaaOKZEpo4vUoNrw\n4hfqV9upgA51ALw+EiABEiABEoDV2oTi80QDQhquIBDTxueawtoTqdBdNyS7Trlr1MncEwql\nvqGPrN+RKKu3JMmazUlSUtF2MCz8qWG5Rn1Bhup04zMmlAsqQvCxBDeBTgX0gQMH5Pzzz7d9\nlVarte2DeQAJkAAJkAAJBBAB42vt3iWIaONjXV1dzcgg7oBCdDk6yiHTxlfoikvcrULkQUyv\nVmIa0T3a+k73ke1qkCLqqx8NlEEZdXLMEWVy7JFlWpSHKKaQvqxOBTQ+W+GPAgsJkAAJkAAJ\nkIArAaQ3R01JSXFugLUagxetAxgRy5oldAkMU2HuUL9/8kGpqOqnxHSyfL0hWdapAYmeQuXl\nFcbIvxZl6zogvU4LaYjpoQPqQhdSiF1ZpwJ64MCB8t1334XYZfNySIAESIAESMA3BIy12iqq\nEa8almrj/oEpKuNY++Ye9GarSQnNMntaia5w9fhmU5yO2LFue6pU17aVXfuLY+Ttxdm6ZqfX\nazE988hSiunevIlenLvtnfTiIO5CAiRAAiRAAiTgPQFkZkRUEGtkEByNr7yIAGLNxGgyMhpx\njQgi2A9TOxXHoLL0HgG4ekwfX6oGEhapQayxOoELLNMrN6R4jOpxoDhaR/NARI9BmXVy3KRS\nmTW5VLLTG3rvInhmjwQ6FdCMA+2RG1eSAAmQAAmQQLcJYPAiXEB8WYyQhiDHPKaoEO4Q69Z5\nLMMFhcK75++IeodSCViqdJ03N0+27ImXFd+lyFdKUJd6GISYVxAjr38yQNcRg2rkOCWkZypB\nnZZEd6Cevzv2W+xUQJt4mhidjMI40PYh8wgSIAESIAES6C0C+B1HjYjo9Cff2UUIaQyQhJg2\nEUggtFl6hoCKqijjhlXretW5ebJVZUTUYnp9iseIHiYT4ssfDpTxw6vkxKmlehBirMquyNI7\nBDr938Q40L1zY3hWEiABEiABEugtAhDbqPHx8boLENSwlMOYhqyPJtOj1aebVuuu3S2I6bFD\na3S98px8bZletjZVVigxXVntKtMQ3WOjSj2O+sw7OTok3olHlcikUZXMgNg1/F0+yvXO2GgG\nflirV6+WLVu26IERo0aNkilTpkhycrKNVrgrCZAACZAACZBAMBGAP3diYqKu1n7DYo2oXaZC\nXLPYI2C1TM87d5+ONQ0x/fXGZEEKcWtBdI8v16XqmpzQKMcrFw+IaUbysFLy3XyXBPTy5cvl\npptukm+//dalZxhx/Jvf/Ebmz5/vsp4LJEACJEACJEACoU3AhPRLS0vTFwqXD1iqq6qqtKjG\nPK3U3j8D8JmerFKLozY09pE1Ks40xDRiTbtnQSyvipT3l2XqOiS7Vk6eXizHTylVqcXpduM9\ncXt72hbQubm5MnfuXJ0O9b777tNWZ4wq3rNnj7zwwgtyxx13aF+r2267zV5PuDcJkAAJkAAJ\nkEDIEHC3VOPLNcR0RUWFVFZW6jB+IXOxPr6QqEiH8nku17Wqtp8sX5ciS9ekKd/pFhcb6+n3\nHoiVF97LEfhLz1DJXk6aViyTR9PFw8qoJ+ZtC+jnn39ev0F+9dVXMmTIEGcfTjjhBLn88svl\n+uuvl7vvvltuueUWwX8eFhIgARIgARIgARLoo/wTrK4fiAICMY0KYc1Bit49IwmxzXLaMcW6\nHiiO0kJ66ZpUKSh1jebS3NxX+1HDlzo1qUFOOqpUxaYuZkg87zB3updtAY2kKnPmzHERz9az\n3HzzzfL000/L9u3bZezYsdZNnCcBEiABEiABEiABTSAyMlLS09N1hXUaQrq0tFTKy8t1vGti\n6pwA4kNffOoBXbfsjpfFq9O0dbquwdWAiTB5iC29cHGmTBxRJaccXSxHTyhXA0UdnZ+Ee3gk\nYFtAjxkzRj788EOPjWHlvn37tHvH4MGD292HG0iABEiABEiABEjAEIB1GkEIUOEnDRENMQ1X\nD4hrls4JjFVh8VARFg8h8RZ/kyabdye4HdhHNqgIHqiJcU3KKl0ic5SYHti/3m0/LnZGoG9n\nO7hv/8lPfiJIrnLXXXfpwQHW7Tt27JDbb79d4P8cFxdn3cR5EiABEiABEiABEuiUAGJWp6am\nyogRI+SII44QGORMOL1OD+YOEhN1SKcR/90N2+X/3blRzp99ULtwuKOprImQ977IlDseHi/3\nPDVSDVBMkcYmFVOPxSsCnVqg9+/fL2effbZLY3gbfOihh+S5556TiRMn6piQBw4ckDVr1mi/\n582bN7vszwUSIAESIAESIAESsEsAY6mMmweieBQVFUlZWRmjeXgJEi4el52+Xy45db+s3ZYo\nn67sL9+oKB6IJ20tG3ep2NKqJsY3yRwVwQMuHpmpTB9uZeQ+36mAxgHugwFzcnIEFQUPNCrK\n1KlT9RSim4UESIAESIAESIAEeooAvmwjeMGgQYO0kC4uLtZZEnuq/VBuRxn1ZerYSl1LKiJk\n8ap0+UzVorIol8tG4pZ3lmTJvz/PlKljKuS0Y4tkigqjh/jULK4EOhXQAwYMkFWrVrkexSUS\nIAESIAESIAES6AUCMOplZWXpCl9pWKXhK83iHYG0pCb5/pyD2rVj3XZYpdOVVRq+560qGRbq\n1VuSdc1MrZdTVdQPxJZmXOlWxp0K6NZdvZuDe8cXX3whCGvHQgIkQAIkQAIkQAK+ImAGHiL7\nIb5+Ixwei3cEYJWGdRm1VFmlYZGGmC5RETusBeHxXvnPQHnjk2ydnOXMmYXMdqgAdUlAP/vs\ns/Loo49KQUGBII4jCoRzU1OTfgvEOo6a1Vj4DwmQAAmQAAmQgI8JYJDhqFGjtIDGmCwKaXvA\nU5VV+kJllb5ADThE2vCPv+qv0ogjgkerVRqpwxcpkY06fniVQEjPUKHwIMTDsdgW0EuXLpXr\nrrtO+0Ufc8wxsmzZMpk2bZrOKLRt2zadhfDxxx8PR5a8ZhIgARIgARIggV4kgMzIFNJdvwEQ\nwybjYX5htBbSS1anSk2dq1zctCtBUNOTG+QM5Sc9Z0axJIRZ2nDb7w3vvfeeFsm7du3SrhoT\nJkyQSy65RNavXy8bNmzQPknugw67fit5JAmQAAmQAAmQAAnYI2CE9MiRIyU2NtbewdxbExiY\nUa9jSj/+yw1y3fm5kpNV24ZMcXmUvPLRQPnJ/RPl6YU5AtEdLsW2gEas55kzZzqjcCDyxooV\nKzQvvPU98MADOpV3uADkdZIACZAACZAACQQmAaQOR1ZkRA6jca9r9yg6yiGnqrB2f7pti9x9\n7XaZPr5cReVwTW4D945PVIi8O/48Tv74wnDZoN0/una+YDnK1SbvRa8R3BzpNk3BgwmfaFNm\nzZqlfaORkdCEujPbOCUBEiABEiABEiABfxPo37+/pKSkCPyjEf6O47S6dgeOGFklqAUlUfLR\niv7KHzrNzb2jNXrH0AE1cs7xhTJrUqlEuGYW79rJA+wo2xbocePGyfLly+XgwYP6UuDCsXv3\nbtm7d69ehhsHsgghxz0LCZAACZAACZAACQQCgYiICG3YGzNmDDMbdvOGZKY1yBVn58tjv9wo\n13wvVwak17Vpcc/+OHnsjaFy6x8nysLFmVJdG1oq2raAvvLKK7U/0ejRo2XJkiUyZ84c/SBe\neOGFct9998ktt9yiXTwQo5GFBEiABEiABEiABAKJAHyioWGGDh0qENUsXSeAtOGnH1ssD9+x\nWX52xU6ZMLxtPO7Sykh57b8D5eYHJshL7w+U4vLQMLDafnIyMjLk7bfflgULFujIG3DpQNSN\na665RidcgeX5/vvv7/rd4JEkQAIkQAIkQAIk4GMC0C9JSUmSm5ur04P7+HQh3TwyFU4bX6Hr\nrvxY+eCLDPlyXao0W5Kz1DX0k/eXZcp/lmfIrMmlMveEAhmS3dZyHSygbAtoXNhxxx2nrc/G\nh+iKK66Q008/XdasWSMTJ06UwYMHB8v1s58kQAIkQAIkQAJhSgADC4cNG6YFNIR0c3NzmJLo\nucsePrBWbr5kr/zgzHz5SInlT75Kl2pLGDyI6qVr0nSdotKFzz2xQCaOCL4EOF0S0MAM8bx6\n9WrZsmWL1NbW6riLiM6BrEAsJEACJEACJEACJBAsBDDAEMlYEAAB6cFZuk8AKcN/cMZ+nZzl\n06/T5YNlGcp9wzXL4bdbkwR11OBqnVp82rgKFeGj++f2RwtdEtAYRHjTTTfJt99+69JHPIC/\n+c1vZP78+S7ruUACJEACJEACJEACgUwALqjDhw+XkpISycvLozW6h25WzP9v706goyrPP44/\nISEhCUsIIWwB2ZRytCqtFjdaNyyiaPVoj1qtdV9opa51P1qtWxGU1t2qiBtotctBW+tS9bgv\ndUFEZBNZCqIIyL7M//7e/u8wmSRk7mRmcufO9z0HM3Pnvfe+7+eOyTPvvPd5y7a4bBxauVDT\nOv7+Sq3N/2/93Nyzvqi0sZP6u1zTP/nRUpe5I0Onz9phAgfQ+opj1KhRLsuGbhrcddddTQnL\nP//8c5s4caKdd955LgvHmDFjstZoDowAAggggAACCGRDoLq62sU1indWrWp4U1w2zlkIx/Rm\ny9iwIcvdv/dndrC/vVxr0+d0qNf1BUvK7Y9TtrMp/+puB++1yEbsvabe62F6EjiAfuCBB2zL\nli325ptvWp8+feJ9GTZsmB1//PF22mmnuYVUlI2DpOVxHh4ggAACCCCAQJ4IlJaWmlYxVN5o\n/aNkVmDXHVaZ/s1eUO6luOtmb0/X9N+tczeWLi+ziVP72V9f3mhPTthoFRWZPX8mjhY4jd1H\nH33kUtclBs+JDRk9erR9++23NmvWrMTNPEYAAQQQQAABBPJKoHv37i6QZkAwO5dtQN1aO//4\neTb21zO8kemvvRkM9Vc47N1tvVXVH6TOTkPSOGrgAFoJyOfOndvkqTQBX/OIyMTRJBEvIIAA\nAggggECeCPjLgSt/NCU7AnW162300fPt1vOne3mlv7S2JVvciY7c/8vsnDADRw0cQJ911lm2\naNEiu+CCC2zNmvpzU2bPnm2//vWvTfOfK8I43p4BMA6BAAIIIIAAAoUloCkdGkDs0qVLYXU8\nx73t2nmjt7LhQvvDhdPt+BHz7LsDV+e4Bamfrtk50IsXL7aRI0fWO6JS2N188812//33u7zP\nSkSuOULKA62vOWbMmFGvPk8QQAABBBBAAIF8Fijy8qvp23U/3Z3uB6NkR6CqwyYbPnSJd/DK\n7JwgA0dtNoDWOZLn/tTV1bn15PWaRqH9keghQ4ZokynopiCAAAIIIIAAAlETUJYOTeeYN2+e\nrV+/Pmrdoz8pCjQbQPfo0cMt0Z3i8TJWbf78+fbaa6+Z3qh77bWXSymzrYMr1cyrr77qUs4M\nHTq0XoaQbe3HawgggAACCCCAQBABBdDbb7+9zZkzJz6IGGR/6ua/QOA50Lno8qRJk0zLg0+f\nPt2mTJlimne9fPnyJk+tmxoPP/xwe+KJJ2zatGl28skn2xtvvNFkfV5AAAEEEEAAAQRaIlBS\nUuJWYWYF5pYo5u++zY5AN9W1TZs22b///W+3lPfGjRvdgipaVEWrEbakaORZc6tvvfVWd0yd\n58wzz7TJkye7n40d+/rrr7fDDjvM3byoOUpa0GX8+PH22GOPeUtCbs0r2Ni+bEMAAQQQQAAB\nBNIRaNOmjVu9UCsXfvlleDNGpNM39tm2QFoj0O+++65pvvPw4cNNC6Zo6e799tvPOnfubApm\nW1Leeust69mzpwuedRx9whsxYoT961//avSwX331lX3yySduBNoPlg899FCXKUQj2BQEEEAA\nAQQQQCCbAr169YrfG5bN83Ds8AgEHoH+5ptvXLCqkeFx48aZ5htrKW9Npr/vvvvs0ksvtXbt\n2rmgOp1u6gZEvRETiwLqZcuWuRUQ9WkvsfgrBKmOX5RmRilnli5d6rKE+NuVfu/qq6/2n7qf\n6ocWfvn666/rbS/UJ/LQBxFujAj2DpCbysqVK91S9sH2LuzasluxYgXfFgV8GygDgDIi8bsr\nIJxXffPmzbgFZNN7TWXDhg3YNWGn+EQDiRqN9r1U1f9/lawdTcA1sVleyniyevVqW7duXRO1\nMrtZf48Sr922jh44gL7nnntMQfR7773nciL6B995553dNIozzjjD7rjjjrQDaAXESouXWJTE\nXJD6I6s3Z2JRwF1WVub+JW7XPsnzpnURNO0ksWj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Xds8+bNtssuuzgbOfnl7rvv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\nQAABBBBAIIDA/wFhLlS8Bbmq7gAAAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for.analysis %>%\n",
" filter(!hc.change) %>%\n",
" ggplot(aes(x = last.wins, y = dc.change)) +\n",
" geom_smooth(method = 'loess') +\n",
" theme_bw() +\n",
" xlab('Last Season Wins') +\n",
" ylab('Probability of Change') +\n",
" ggtitle('Probability of DC Change')"
]
}
],
"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": "3.3.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
@GarrettMooney
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GarrettMooney commented Feb 10, 2018

Very cool! I think you are missing a final ungroup() in your for.analysis assignment.

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