read file
auto <- read.csv('car.csv')
summary(auto)
## buying maint doors persons
## Length:1728 Length:1728 Length:1728 Length:1728
## Class :character Class :character Class :character Class :character
## Mode :character Mode :character Mode :character Mode :character
## lug_boot safety car_accept
## Length:1728 Length:1728 Length:1728
## Class :character Class :character Class :character
## Mode :character Mode :character Mode :character
auto$buying<-as.factor(auto$buying)
auto$maint<-as.factor(auto$maint)
auto$doors<-as.numeric(auto$doors)
## Warning: NAs introduced by coercion
auto$persons<-as.numeric(auto$persons)
## Warning: NAs introduced by coercion
auto$lug_boot<-as.factor(auto$lug_boot)
auto$safety<-as.factor(auto$safety)
auto$car_accept<-as.factor(auto$car_accept)
summary(auto)
## buying maint doors persons lug_boot safety
## high :432 high :432 Min. :2 Min. :2 big :576 high:576
## low :432 low :432 1st Qu.:2 1st Qu.:2 med :576 low :576
## med :432 med :432 Median :3 Median :3 small:576 med :576
## vhigh:432 vhigh:432 Mean :3 Mean :3
## 3rd Qu.:4 3rd Qu.:4
## Max. :4 Max. :4
## NA's :432 NA's :576
## car_accept
## acc : 384
## good : 69
## unacc:1210
## vgood: 65
##
##
##
auto_freq<-table(auto$lug_boot,auto$car_accept)
condicional percentage my way
percentage_auto_freq<-rbind(auto_freq[,'acc']/sum(auto_freq[,'acc']),auto_freq[,'good']/sum(auto_freq[,'good']),auto_freq[,'unacc']/sum(auto_freq[,'unacc']),auto_freq[,'vgood']/sum(auto_freq[,'vgood']))
#percentage_auto_freq
percentage_auto_freq<-t(percentage_auto_freq*100)
colnames(percentage_auto_freq)<-(colnames(auto_freq))
percentage_auto_freq
## acc good unacc vgood
## big 37.50000 34.78261 30.41322 61.53846
## med 35.15625 34.78261 32.39669 38.46154
## small 27.34375 30.43478 37.19008 0.00000
condicional percentage teacher way
cond_percent <- function(X) X/sum(X)*100
percentage_auto_freq<-apply(auto_freq, 2,cond_percent )
percentage_auto_freq
##
## acc good unacc vgood
## big 37.50000 34.78261 30.41322 61.53846
## med 35.15625 34.78261 32.39669 38.46154
## small 27.34375 30.43478 37.19008 0.00000
library(RColorBrewer)
coul <- brewer.pal(5, "Set2")
par(mfrow=c(1,2))
#barplot(t(auto_freq),legend.text = TRUE,xlab = 'Lug Boot', ylab = 'Frecuency' ,main = 'Luggage Boot by Car Accept', #col=coul ,beside = TRUE)
barplot(auto_freq,xlab = 'Car Accept', ylab = 'Frecuency',main = 'Car Accept by Luggage Boot' ,beside = TRUE,legend.text=c('big','med','small'),col=c('lightblue','pink','lightgreen'))
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABUAAAAPACAMAAADDuCPrAAAA9lBMVEUAAAAAADoAAGYAOjoAOmYAOpAAZmYAZpAAZrY6AAA6OgA6Ojo6OmY6OpA6ZmY6ZpA6ZrY6kJA6kNtmAABmOgBmOjpmOmZmZgBmZjpmZmZmZpBmkLZmkNtmtrZmtttmtv+QOgCQOjqQZgCQZjqQZmaQkGaQkJCQkLaQtpCQtraQttuQtv+Q29uQ2/+Q7pCt2Oa2ZgC2Zjq2kDq2kGa2kLa2tpC2tra2ttu225C227a229u22/+2///bkDrbkGbbtmbbtpDbtrbbttvb25Db27bb29vb2//b/7bb/9vb////tmb/wMv/25D/27b/29v//7b//9v///+Q89pNAAAACXBIWXMAAB2HAAAdhwGP5fFlAAAgAElEQVR4nO3dC3sTaZqgaTkxPThhimwOM+2kl2SbnKlNtrPHNFvOXSgX5AxkNR4M8v//M6tQ6BCSQrLiw+F4P777vuaaxpGyTr7epyIUB40uAUgyGvoJAORKQAESCShAIgEFSCSgAIkEFCCRgAIkElCARAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgEQCCpBIQAESCShAIgEFSCSgAIkEFCCRgAIkElCARAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgEQCCpBIQAESCShAIgEFSCSgAIkEFCCRgAIkElCARAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQaMiAXvy3u6OJW/dffO09nYxqP13H07ra23/eWHRWPfydrnf05eHktw5+vZYn1adPR6OmW/f+/PEr7q3l7YM8DRfQd4+WE3nw9Kvuatqhyu2vmet9TZ74g42FRQX0q/5irW8f5GmogI5frg7kD1+TvvPFWPffoovnk8cR0Lb3YB9b3j7I00ABHT9bn8evWHls3Fn/o3nS/jDlBTTtaW95+yBPAwW0/tDy4Mkfl5efXx19Zfum433wX29mG77cgC6e5+d666Hzq60IKN+UYQJ6vrLSeTH9CPO7v6be2zRet9/ezDa8gF7O3oSkP5iA8k0ZJKBf1opZbyGmjlW9Bf+gvtPeZ1NAW37en4DyTRkkoPUKaOOYo5PmCunnV9Ojmw7uPZlvj5/VU/e370ejW082NtLn07xyJ7VxfVd3q48Kdi98//xoddlZ/RTHryYPOrr3ovnER+tP/3IZ0HePlzdfTXr90+pvbQnoWeOV1P/zsPi1d4+P6jdh+qrv7F68+U7uuIuNd6ChNaCNNdD3z6t3aeN4tPXF298+yNMgAd3YAjw/+NOfX8+G/G/LHRYHswMG64C+3DJ589ycr2/Dj18t72qxl7914cWzjWV1QN/Ob3z4Zvo8rwjoxfzQrMNfF69znvT16FS6BnSxu+zg12b9tixueSe33rblHWhYD+h584VdfloekHbYSOjmYgHlWzNEQOt1sS3bu2ejpgfLZXfrJRufvM224DfvdnVP/0qP1hau7GSeLZs+5vFy8TQfVwT08OHqzev7/alxi7UX3TGgXxr3/38t67dlcds7ue22be9AQ+tnoPNV69bHaV0soHxrhgjoro881w6YqXN5tj6JG78xHe61FduTlXua/WLbwkZURlvyM7vjKwK6fvM6fvX9rW2K17oFdPPYrzs7Fre+k1tu2/oOtL7HlffPlne4+p5UHmxfLKB8a4YI6MZHoA3TwFXby/XWcD20jTrtqs3q/c729E/u6t3RYuBbF04f8+Dpx/nR/T81HrPa+JxtmDcKvGUnUv3M3y9vfrYsTdsWfMeA1k/+8F8Xz6gu3ZbFre/krtuuvwMNLceBfvem8RJGB9WnrPXnHfUDbVlsJxLflmABbRSlsf07q1Pr2UqLLfj1bfjGB5DLVd62hc2KLbez68esb1o/Rl2/nQFdv3ljx9F587m1vNyNO9sIaPNZzNYk72xf3PpOXn3b9sMJNgP6n+Z/i5NGHeuXO33iWxYLKN+WYAG9HP/+893mJ3uNgLYfJN/cddTchl9p08ndH3/5sG1hM23TG0zv4az5JBubsLsCOr/n5XM6Wdz3Sdtr7hTQlU9U6x/ubF/c+k5uuW37O9DQsgZ62HakweKFb1ksoHxjogV0aSOgO7b5Z7Fp3vF5I6arj7y+sDnT01xNR/2sedPGau6ugM4Tv3zqiwecLtr4n4BOAT3ffEZ3ti9ef5Rdd9H+DjS0ncrZ2C+0eEcX79OWxQLKNyZoQMfv/9v3y1utrN6tWlnVaW7Drx5p03zktYWb+1WmD7pSxMbc73Mg/TIYi/xNE7Txa50C2vKM7mxfvHh5zXey/bZb3oGGlZ1I4w+zI8E273Fxl1sWCyjfmGh74ScuXj0+Wp3klbXBVasHfza24ddGuNa2sCUfi/0/ixJdWYCWmz9oLj9rLeVXBHTxgFsWVzbeyfbbbnkHGloPpJ/e0dpHps2X27JYQPnGxDgO9NO9F/Opfru6tbgMaPtHoGuHJS2nP0hAZzvfpw+y+Qp6DWjLO3ldAV1uEwgoRRsioM19wbVqwO5Pj4uZnW5098ff/r72GWhrQNcOYKwtj2nafxN+Y6ZTNuHnN2/c5ax/0+e5+Vt7BHT5AWbHTfi2d3LXJvyuqm0EdPEpjE14ijbIqZzrO4WWRa23yKc7eNd3IrUGdP1w7anlSUOLg71np4q2Lmyf6ZSdSPObN097r/dwn7eGsltAu+1Ean0n99iJ1Gp7QNv2Fm1fLKB8Y0JcjakO6too7xXQti34+g5Wrt0x31XfurD93lMOY2q5+eywoH9pfwFbAtrMz3KP28qTXx6DtGVx6zu55bY7PiLZfEGrL9dhTBRtmOuBrh7Y+WlxqkpzY7KRpK0DvvFp6vqh3PUvLce5bWFzn9ZkrfRJfVWT+uHr823qp7XzSPDZzf+6fvNG41uysSugK6dvdj6Qvv2d3HIX7e9Aw3pAG/8LuHnEfOPcpo3FAsq3ZeAr0n9cXN+8EYPqC8vmS3cHdPOAqOXgzs5afH15+b8e7V5YP5kfPl6O/7bYuzw/+6l6Lpunct5+c/l+9bJv2878XB5D2XYY1paAzv4X5cXitND1Uznft5/K2Vi85Z3cchet78D6E1o8z/Hs+wAbp9xvnLO5ZfG2tw/yFOw7kTauybF9j/pl296oWSGWn1au3VPrwvXDxJunj64/weXy1dWobTdfvtTta9Abv7f57nS/mEj7O7nfhUf2ORd+9dzPzd+9arG1UL4FUb6Vc2WXSe3u4mpr2wLaOHFxrrENv//l7M5X+tDY7j1cXtJyvv61aElLQBtXv2tU/Wx7MbYEtLlv7OCflvlp3Py7/7p86a2L29/JbXfR9g5svNFr5pXd/3J2298+yFO074VfXIX34OnaeektAW07xfNkuazDBZUboXzauO/b//F8tvjwzfwB5uVfPV9yevP16y/PXlJzE3bVtoAuj+E8/PWs8RqXF2x+0zzlqHVx6zt59V20fuV7S0Abt2r8JQ8br7J9cfvbB3kaLqCXl+9/rr9bY+WbIMZvq4XTb+5Y7HDYEtCWLfj5ytv8Uu0dvtKjOuHxYHlA//wxm9/RUZsuufWn1a+vmGWuvu97q/+t5btGZrYG9PLzy+9nT6cZ0MZXhqyes9m2uO2d3HEXG+9Aw1pAD+7+afVWFz/X393xevXXWhe3vn2QpyEDGtqVh/bsr5c9z1vutMtj2SMOX0lAt7i+gF7XV2+On909/mVxhNGiflsWd7kLII2AbnF9Ab2ue5odmdQ4tnL67y2Lu9wFkEZAt7iW7I0n/+/fR9e1olfvM5vun6qP4mx+Y9TG4i53ASQR0C2uJaCLQ3mupVMb+8If7Frc5S6AJAK6xbUE9Px6O7V2cPr82W1Z3OUugBQCusW1BvS61vNWLvG5/I69LYu73AWQQEC3uJaATg9mv3X/zdW33Ne7f5oexHpwb+Uo1m2Lu9wF0JmAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgEQCCpBIQAESCShAIgEFSCSgAIkEFCCRgAIkElCARAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgEQCCpBIQAESCShAIgEFSCSgAIkEFCCRgAIkElCARAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBDRbo+2GfmpQCLOWqR35FFC4IWYtU6PRv20joHBDzFqmBBSGZ9YyJaAwPLOWKQGF4Zm1TAkoDM+sZUpAYXhmLVMCCsMza5kSUBieWcuUgMLwzFqmBBSGZ9YyJaAwPLOWKQGF4Zm1TAkoDM+sZUpAYXhmLVMCCsMza5kSUBieWcuUgMLwzFpAO682H8nQbxQMzAyEM3QVOxj6rYKBmYFwsulSNk8U+mIGwsmmS9k8UeiLGQgnmy5l80ShL2YgnGy6lM0Thb6YgXCy6VI2TxT6YgbCyaZL2TxR6IsZCCebLmXzRKEvZiCcbLqUzROFvpiBcLLpUjZPFPpiBsLJpkvZPFHoixkIJ5suZfNEoS9mIJxsupTNE4W+mIFwsulSNk8U+mIGwsmmS9k8UeiLGQgnmy5l80ShL2YgnGy6lM0Thb6YgXCy6VI2TxT6YgbCyaZL2TxR6IsZCCebLmXzRKEvZiCcbLqUzROFvpiBcLLpUjZPFPrS+wyMP/x+enr624ePfT/QNyObLmXzRKEv/c7A++eN78C9/7rXx/pmZNOlbJ4o9KXPGbh4tPY14oe/9vho34xsupTNE4W+9DgD50dVNO8e176vfjj4qb+H+2Zk06Vsnij0pb8Z+PJwEswXjQXvJkH97q+9Pd43I5suZfNEoS/9zcDZRi6rpD7o7fG+Gdl0KZsnCn3pbQbGz0aj9Q3289Hotr3xV9ndpVG7m3pyq09liEeFQHqbgcnq5sb2etsy1u3q0pZ8XpGyT0ejOysLJv/rdg1/CAGleAIazu6A/o82AgqD6HMT/mD9qCWb8PsQUMhFfzNwslHL6mPRO1tuzcINBPR6CCjF628GJlM7uv2mseBi0s+NlVI2CCjkoscZOJseOn/8y2nlL/WR9I5iupqAQi76nIG3R2u7ig+e9vho34yeAnrxeDS69aT+UGX5GWi1dHTvzZeHCZ9OCyjF63UGxq+aCT14YgfSPvoJ6Kf6T1F/hrII6Nnsb/OPAgoJ+p6B8fvTV8fHx09OX6vnnnoJ6D88nP/PWFXQeUDPG//7JqDQmRkIp5eAjkaHb+oPVapPQ2cBrc6tnS8WUOjODITTT0DrPk7+Va2CzgJ61lgsoNCdK9KH00tA58ePnUyPhJgF9GRxuYIzAYUErkgfTi8BnefxfLoNXwe0cWZt4xbX80ShCK5IH06vx4HW/1wEdF5NhzFBClekD6fvgE5KWQe0sdopoJDCFenDsQYKuXBF+nB8Bgq5cEX6cHoJ6LyU9Y73OqCNP5G98JAi0AWVg3xRxeB6uSL9bBv+fNR6HGi1bSCg0FnsgBY5of0EdHT/j/raBC1nIr1zJhIkCX1F+jIn9PpfdfNc+On/gjkXHq5F6CvSlzmhvQR0fjWmw+klrl2NCa5F6CvSlzmh/QR0elrD1uuBJl1yucw/DzSEviJ9mRM6xKsWUEgR+or0ZU7ozb3q5cVETlKO0C3zzwMNoa9IX+aE3mhAp+eKfX6ZdI5YmX8eaAh9RfoyJ/TmXvWnxv++JZwiVuafBxpCz0CZE3qDr3r5IUvKKbZl/nmgIfQMlDmhN/mqP7+q9u3devJHyi+X+eeBhpuagfHvp7850HAv2bzqbJ4o9OWmZmD3WZxblDmh2bzqbJ4o9EVAw8nmVWfzRKEv/c3A5w9N7ycBfT35v50+bCtzQrN51dk8UehLn1djatNpNbTMCc3mVWfzRKEvAhpONq86mycKfelvBqpjDA+O5/7paHTwp8n//dHl7K6SzavO5olCX3qcgerqS4fzyzHZibS3bF51Nk8U+tLrDPxtstr5z/U/BXRvu191yhXpe1Lmnwca+p2B6hqU9TVBBXRv1/+VHmmu/KrjMv880NDzDIz/fXYROwHd2+6A/u82AgqD6H0GPk1WQu9/FND9CSjkov8ZGL+srjopoHsTUMjFTcxAdUDTn44EdE8CCrm4kRmoDmhKueZ5mRMqoJCLG5qBvx0J6L6uP6DTFI7ffj8aHVbf4DH9ppVbi++nGr+9W30z54tFLC+ej0YHP3wUULjKTc3Axc/dTkKaKnNC+wnofzybX3q+OrasMvsazsX3esxPeph9V/ztvwsoXCH0DJQ5of0E9F/mX+33r8/mx45Ov5Gz8b1I9SbC2fzHfxBQuELoGShzQnsJ6GQF8/VkO+DhfFXz3VG9Clr9p2q7fvy2ueDN7OuSBBR2Cj0DZU5oPwGtW3g+avyr+sf5opKTGx38Ol0BrRdUq6YCCjuFnoEyJ7SfgP40/1dVycvFqWEn85+nLX1wOX62WHAmoHCF0DNQ5oT2EtDZIRDr/2ruaZ+sct5pnjE2+VlAYafQM1DmhN5wQJtuN49dchgTXCX0DJQ5oTcZ0MY++DqgjdVOAYWrhJ6BMif0hgO6GklroNBB6Bkoc0JveBN+9QQxn4FCB6FnoMwJvcmAjp/N98/PNBbYCw9XCT0DZU7oTQa0quR3y1M4HzSyuTx4NOWJQhFCz0CZE3r9X+mxI6BVJg+eTjr5ubps66+zM5Fe16cqCSjsFnoGypzQGw3o9NykuQeXzQX/aCcSXCH0DJQ5odf/qncF9PL8aKWfs7PgXY0J9hB6BkqZ0E6rkwl2BvRy/Kq6HuitJ3/Mb37x/Mj1QGEfoWegjAntuD0eRzZPFPoSegbKmNDR6H+syOZVZ/NEoS+hZ6CMCRVQyFXoGShjQgUUchV6BsqYUAGFXIWegTImVEAhV6FnoIwJFVDIVegZKGNCBRRyFXoGyphQAYVchZ6BMiZUQCFXoWegjAkVUMhV6BkoY0IFFHIVegbKmFABhVyFnoEyJlRAIVehZ6CMCRVQyFXoGShjQrsFNOWK9F9j/Gx63dDZ/1l7Kr09KuQh9AyUMaFdApr2lR5fQ0Bhu9AzUMaEdgvov7URUBhE6BkoY0IFFHIVegbKmFABhVyFnoEyJlRAIVehZ6CMCb2JgI7fNr95c/p9m+O3349Ghy+q//jqaPLfns5v+3n6LZ0H917UvymgsFXoGShjQm8goJ9Wv/u9Cuh/PJsvuHhU/+tOfduzxZ796ZcaCyhsF3oGypjQ/gM6CebCT/XPt/9l9vPBvz5r/qdGP+vaCihsF3oGypjQ/gM6ieLh68n/vXhWr1ZOg1otuZiW9fDN5eW7o3oVtPpPP1Qb+u8f1bcVUNgu9AyUMaH9B/RktnY5z2BVyen2+eX5qPGv6h/ni035yWZ/o5wCCi1Cz0AZE3oja6C33zR+rgL60/xfB7/O/7VayNkCAYXtQs9AGRPaf0DPpx92/unPH2c/L2PZ9q/K599/nmzTCyjsFnoGypjQG9gLfzLfY1Qfx7QzoON3j+f77AUUdgs9A2VM6A0EdHqk53LP+q6ALo94ElC4SugZKGNCb+ZMpHfPlwXdEdD6iKdb93785e8+A4WrhJ6BMib0xk7l/PyX5/VO9x0BPauParq0Ewn2EHoGypjQ3gPaiF9dxe0Bndx0tle+2vMkoLBb6BkoY0Jv5DjQB/W/9g9odYy9gMJuoWegjAnt/4r01WFMi9OL7uz8DPSk3oSv9zpVLRVQ2C70DJQxoTfwlR4nyxvO9hRtC+h5804FFHYLPQNlTOgNfCvneHHBkMNqA33XYUwvF4eMPpueriSgsF3oGShjQm/ka43fP6+2ye+9mJ6MtPNA+nePq+OYnnycnRYvoLBd6BkoY0J9LzzkKvQMlDGhAgq5Cj0DZUyogEKuQs9AGRMqoJCr0DNQxoQKKOQq9AyUMaECCrkKPQNlTKiAQq5Cz0AZEyqgkKvQM1DGhAoo5Cr0DJQxoQIKuQo9A2VMqIBCrkLPQBkTKqCQq9AzUMaECijkKvQMlDGhAgq5Cj0DZUyogEKuQs9AGRMqoJCr0DNQxoQKKOQq9AyUMaECCrkKPQNlTKiAQq5Cz0AZEyqgkKvQM1DGhAoo5Cr0DJQxoQIKuQo9A2VMqIBCrkLPQBkTKqCQq9AzUMaECijkKvQMlDGhmwHNxtBvHQws9AyUMaECCrnqfQbGH34/PT397cPHhN8tY0LXA7rS0v+9zWj0b9uU8bZBAP3O2vvnjdWV+6+7/noZJRBQyFWfs3bxaG2L7/DXbndQRgkEFHLV46ydH1XRvHtc+7764eCnTvdQRgkEFHLV36x9eTgJ5ovGgneToH731y53UUYJBBRy1d+snW3kskrqgy53UUYJBBRy1dusjZ+NRusb7Oej0e0ue+PLKIGAQq56m7XJ6ubG9nrbsl3KKIGAQq4EdHACCrnqcxP+YP2oJZvwbQQUctXfrJ1s1LL6WPROl7soowQCCrnqb9Y+HU0K+qax4GLSz42V0p3KKIGAQq56nLWz6aHzx7+cVv5SH0nf6SgmARVQCK3PWXt7tHYq58HTbndQRgkEFHLV66yNXzUTevCk6xWZyiiBgEKu+p618fvTV8fHx09OXydcz66MEggo5Cr0rJVRAgGFXIWetTJKIKCQK1ekH5yAQq5ckX5wAgq5ckX6wQko5MoV6QcnoJArV6QfnIBCrlyRfnACCrlyRfrBCSjkKtAFlUct+np2kQgo5EpAByegkCtXpB+cgEKuXJF+cAIKuXJF+sEJKOTKFekHJ6CQK1ekH5yAQq5ckX5wAgq5ckX6wQko5Cr0rJVRAgGFXIWetTJKIKCQq5uatfenv/3R+ZfKKIGAQq56nrX6mzxmO5MOX1x18zVllEBAIVe9XpH++ewq9CfzHfE/dLuDMkogoJCrHmftU30M08Gv55P//97x8ZED6VsJKOSq3yvSj+5+P1kHfVSfwTl+6VTONgIKuer3ivRvZuuh9ZWVq4uJuCL9BgGFXPV/Rfqz5VWZXM6ujYBCrvq/oPJkFfTO+rI9lVECAYVc9R/QyT8EdBcBhVz1GdB6j9H4/7z7n2fb7ZOVUQHdIKCQq16vSL++x+jMFelbCCjkqr9ZO984aOnC98K3EVDIVX+zVu2GH/3n5U736fmcnXbCC6iAQmg9ztqXR6PmR57VgfXdjqMXUAGF0Pqctck652pAD9/suHWLMkogoJCrm5u18f/TMZ8CKqAQW+hZK6MEAgq5Cj1rZZRAQCFXm7M2/m2Ap9GujBIIKORqc9a+PBzdez3AM2lRRgkEFHLVGtCJ+xEaWkYJBBRy1TJr7x7VV5K/33mv+XUrowQCCrlqnbXxq+/rhj7p/k2a16mMEggo5GrbrM0beutJp5Mvr1cZJRBQyNWOWftcfxnx6PDFUA0towQCCrnaPWuzhh4MtBpaRgkEFHK1c9bePZ9/oXvHq4BckzJKIKCQq+2z9u7xbAP+/fOhClpGCQQUcrVl1mbrnrNt9+rSnp0uJX9NyiiBgEKu2mbt/WzLfXkgaNcvM7omZZRAQCFX285Emmy6ry4T0L4IKOSqPaDru90ny7p9Gcf1KKMEAgq5agtoyzmcH27iuWwoowQCCrkKPWtllEBAIVehZ62MEggo5GrLrI3/Z/WR55f/8ucBz4QXUAGF2Fpn7eJxvdP9y8PRwT/f8BNqKqMEAgq5apu186PRIqCj0YObfkpLZZRAQCFXLbP2adLPgx+m2+6fXw51GvxUGSUQUMhVy6ydjBoHfZ4McxJnrYwSCCjkquVbOZ81Vzonq6NDHEJfK6MEAgq5aj0TqXHa5kAncdbKKIGAQq4EdHACCrlq3YQf/bT46XxkE75nAgq5apm1s8ae92qP/HDHMZVRAgGFXLXM2vToz/svPnz48Ht1YdDhVkAFVEAhtLZZ+3Q0WhrwMFABFVAIrf1UzsWXyY3uD3kyfBklEFDI1baLifz+8/Hx8Y+DfSN8rYwSCCjkKvSslVECAYVchZ61MkogoJCr0LNWRgkEFHLVPmvTT0DnfnQgfa8EFHJ15WFMI6dy9kxAIVdbrgcqoDdHQCFX7adyju798mHhj5t/VjNllEBAIVftFxMZ7hrKK8oogYBCrlovZzfk6ZtNZZRAQCFXV10PdFBllEBAIVetm/ACepMEFHLVvhPpp82lQyijBAIKuWq/HmiQVdAySiCgkKstB9IfPPlw409lUxklEFDIVetOJAfS3yQBhVwJ6OAEFHLVEtDHd1fdE9BeCSjkKvSslVECAYVchZ61MkogoJCr0LNWRgkEFHK1bdY+n57+9vFyPNyVmCpllEBAIVfts/b2+3rv+5eHh29u+Ak1lVECAYVctc7ay/nhSwNfmamMEggo5Kpt1qorKh/+96NJQKtrg94e7rvhyyiBgEKutnylx9PJymd1AH1V0OGuLFJGCQQUctUyayfTK9LXAb08H/Ly9GWUQEAhV63XA60+95wFdLI6Otw2fBklEFDI1dYr0s8COui17coogYBCrgR0cAIKubIJPzgBhVy170R6sAjomZ1IfRNQyFXLrJ3PjqGvAjr5t8OYeiagkKuWWauO/Tx4UQV0/O8jB9L3TkAhV22ztnJNeqdy9k1AIVets1atg864mEjvBBRytWXWLp5X12M6uP/6Zp/NmjJKIKCQq9CzVkYJBBRyFXrWyiiBgEKuQs9aGSUQUMhVy5lIPx+v+tGZSL0SUMhV67nwq5wL3y8BhVwJ6OAEFHLVMmufP8z95fno4OmH4b6Zs4wSCCjk6opZ+3Q0enozT6RNGSUQUMjVVbN2NuS5nGWUQEAhV1fN2mQV1OXs+iWgkKurZs0V6XsnoJCrPdZABbRfAgq5uvozUF/p0TMBhVztnLXxh+qKyl/3Gej4w++np6e/fUipcBklEFDI1dUH0n/NXvj3zxt31P3aeGWUQEAhV1cG9CD9ONCLR2vnNB12bHEZJRBQyFVLQB/fXbr3JP08pPOjKpp3Z5ck+X5a425fUFdGCQQUctXfrFVrsgcvGgveHXU9r76MEggo5Kq/WTvbyGWV1Add7qKMEggo5Kq3Wau+mG59g/284zFRZZRAQCFXW2Zt/D+r0H35L39OPga07RSmrqc1lVECAYVctc7axeM6dJPgHfxz4h0L6L4EFHLVNmvn87090yOaOn1quTTZhN84gtQmfBsBhVy1zNqnST8PfpiG7vPL9APpTzZqWX0s2um0pjJKIKCQq5ZZWynfSfUu1PAAABbjSURBVPKpnFWHb79pLLh41rXGZZRAQCFXLd/KubLtPclg6sVEzqaHzh//clr5S30kfbfPA8oogYBCrlpP5Wzs6fma64G+PVo7lbPraaFllEBAIVd9BvRy/KqZ0IMnXVdlyyiBgEKuWjfhG0fAd91xvnFv709fHR8fPzl9nXAvZZRAQCFXLbN21tjXU+0JSjyO6RqUUQIBhVy1zNr06M/7Lz58+PB7dTnP4S5IL6ACCqG1zdqnlU8uv/JbjV2R/ioCCrlqP5VzeSH5+1+1/umK9HsQUMjVtouJ/P7z8fHxjy++Kp+uSL8XAYVc9Thrrki/HwGFXLki/eAEFHK1bdY+n57+9vFynP6NSK5Ivy8BhVy1z9rbaoN7kr8vDw/ftN7gaq5Ivy8BhVy1ztrL6S6faUCTD2PqfkHlUYu0x86LgEKu2matuozS4X8/mrSuWo1MPJBeQPcloJCrLRdUfjqJXdW6tg3x/bgi/b4EFHLVfkHlO5ezgFbNS7ygsivS70lAIVdbL6g8C2j6BZVdkX5PAgq52no90FlAv+J6oK5Ivx8BhVz1GFBXpN+PgEKu+tuEv3RF+v0IKOSqfSfSg0VAz5J3ItVckf5KAgq5apm189kx9FVAJ/9OPIzpOpRRAgGFXLXMWnW00cGLKqDjf3dF+v4JKOSqbdam3+lxXVek/xpllEBAIVets1atg86vgZx6MZHp/bx6fPdPf16uwXbdpV9GCQQUcrVl1i6eV4dtHnT/Fo6mvx2t7X0X0DYCCrnqcdbOFqux849RBbSNgEKuWmbt5eGLzYXdVadyHr748OFl9X/rbApoGwGFXG09kP6rnc3XPKvvlqsLKqBtBBRytfVUzq/VuBDe4qqiAtpGQCFXrWug1xHQZizn17ET0DYCCrlqmbWvPXuzthLL2dfJCWgbAYVctc3a26PR4S8fvvKOV2P56aj6YFVA2wgo5KplE/7n439auQhd2gb92peBVCfYvxHQNgIKuWrdiTS6hoCufxJQfU38/yegLQQUctUS0Md3V91LC2h1HOj9P5Y/n3SvcRklEFDIVc9nIjV7+VJAWwko5KrPWXt7tNrL6is+BHSDgEKuep218bsfVy4mOn55JKAbBBRyFXrWyiiBgEKumrN2TSdxXp8ySiCgkKstAf384Y/Wm9+sMkogoJCr9oAGWRctowQCCrkS0MEJKORKQAcnoJArAR2cgEKuBHRwAgq5EtDBCSjkSkAHJ6CQKwEdnIBCrgR0cAIKuRLQwQko5GotoAe/nFb+cjT/18RvH7f+dt9ProgSCCjkai2gbYZbFy2jBAIKuRLQwQko5Ko5a+PfT9vYhO+XgEKuQs9aGSUQUMhV6FkrowQCCrkKPWtllEBAIVehZ62MEggo5Cr0rJVRAgGFXIWetTJKIKCQq9CzVkYJBBRyFXrWyiiBgEKuQs9aGSUQUMhV6FkrowQCCrkKPWtllEBAIVehZ62MEggo5Cr0rJVRAgGFXIWetTJKIKCQq9CzVkYJBBRyFXrWyiiBgEKuQs9aGSUQUMhV6FkrowQCCrkKPWtllEBAIVehZ62MEggo5Cr0rJVRAgGFXIWetTJKIKCQq9CzVkYJBBRyFXrWyiiBgEKuQs9aGSUQUMhV6FkrowQCCrkKPWtllEBAIVehZ62MEggo5Cr0rJVRAgGFXIWetTJKIKCQq9CztlmC0XZDPMFrIaCQq9Cztl6CHfnMOBoCCrkKPWubAd2RmmGe4jUQUMhV6FkTUAGFyELPmoAKKEQWetYEVEAhstCzJqACCpGFnjUBFVCILPSsCaiAQmShZ01ABRQiCz1rAiqgEFnoWRNQAYXIQs9ap4Bme5angEKuQs+agAooRBZ61joFdEdqhnn2+xJQyFXoWRNQAYXIQs+agAooRBZ61gRUQCGy0LMmoAIKkYWeNQEVUIgs9KwJqIBCZKFnTUAFFCILPWsCKqAQWehZE1ABhchCz5qACihEFnrWBFRAIbLQsyagAgqRhZ41ARVQiCz0rAmogEJkoWdNQAUUIgs9awIqoBBZ6FkTUAGFyELPmoAKKEQWetYEVEAhst5nbfzh99PT098+fEz4XQEVUIis31l7/7zx3Zj3X3f9dQEVUIisz1m7eLT29cKHv3a7AwEVUIisx1k7P6qiefe49n31w8FPne5BQAUUIutv1r48nATzRWPBu0lQv/trl7sQUAGFyPqbtbONXFZJfdDlLgRUQCGy3mZt/Gw0Wt9gPx+NbnfZGy+gAgqR9TZrk9XNje31tmW7CKiAQmQCOjgBhVz1uQl/sH7Ukk34NgIKuepv1k42all9LHqny10IqIBCZP3N2qejSUHfNBZcTPq5sVK6k4AKKETW46ydTQ+dP/7ltPKX+kj6TkcxCaiAQmh9ztrbo7VTOQ+edrsDARVQiKzXWRu/aib04EnXKzIJqIBCZH3P2vj96avj4+Mnp68TrmcnoAIKkYWeNQEVUIgs9KwJqIBCZEVckX67a3mJX0lAIVdFXJFeQIE+FHFF+tilEVDIVRFXpI9dGgGFXBVxRfrYpRFQyFURV6SPXRoBhVwVcUX62KURUMhVoAsqX72XXEAFFCIR0MEJKOSqiCvSxy6NgEKuirgifezSCCjkqogr0scujYBCroq4In3s0ggo5KqIK9LHLo2AQq6KuCJ97NIIKOSqiCvSxy6NgEKuQs+agAooRBZ61gRUQCGy0LMmoAIKkYWeNQEVUIgs9KwJqIBCZKFnTUAFFCILPWsCKqAQWZ+Xs2vT6Ts9BFRAITIBHZyAQq76m7WNLzUW0HYCCrnqcdaqy392u/rSOgEVUIisz1lr+165TgRUQCGyXmdt93cgXU1ABRQi63fWzr9uI15ABRQi63fWJhvxX7MKKqACCpH1PGufjo//7/TfFlABhchCz5qACihEFnrWBFRAIbLQsyagAgqRhZ41ARVQiCz0rAmogEJkoWdNQAUUIgs9awIqoBBZ6FkTUAGFyELPmoAKKEQWetYEVEAhstCzJqACCpGFnjUBFVCILPSsCaiAQmShZ01ABRQiCz1rAiqgEFnoWRNQAYXIQs+agAooRBZ61gRUQCGy0LMmoAIKkYWeNQEVUIgs9KwJqIBCZKFnTUAFFCILPWsCKqAQWehZE1ABhchCz5qACihEFnrWBFRAIbLQsyagAgqRhZ41ARVQiCz0rAmogEJkoWdNQAUUIgs9awIqoBBZ6FkTUAGFyELPmoAKKEQWetYEVEAhstCzJqACCpGFnjUBFVCILPSsCaiAQmShZ01ABRQiCz1rAiqgEFnoWRNQAYXIQs+agAooRBZ61gRUQCGy0LMmoAIKkYWeNQEVUIgs9KwJqIBCZKFnTUAFFCILPWsCKqAQWehZE1ABhchCz5qACihEFnrWBFRAIbLQsyagAgqRhZ41ARVQiCz0rAmogEJkoWdNQAUUIgs9awIqoBBZ6FkT0GsP6Gi7m3vF8K0IPTYCes0B3ZHPGO8F5CX02AjotQd0x0Pd5GuGb0PosRFQAYXIQo+NgAooRBZ6bARUQCGy0GMjoAIKkYUeGwEVUIgs9NgIqIBCZKHHRkAFFCILPTYCKqAQWeixEVABhchCj42ACihEFnpsBFRAIbLQYyOgAgqRhR4bARVQiCz02AiogEJkocdGQAUUIgs9NgIqoBBZ6LERUAGFyEKPjYDeZEB92wd0FXo2BFRAIbLQszFoQHcW5TpTEyWgOx4q4VVBCULPxoABTcungEJRQs/GoAG9sdQIKOQq9GwIqIBCZKFnI8OAJmzdCyjkKvRsCKiAQmShZyPDgN5g1QQUhhZ6NgQ0yEMl/O2gBKFnQ0CDPFTC3w5KEHo2BDTIQyX87aAEoWdDQIM8VMLfDkoQejYENMhDJfztoAShZ0NAgzxUwt8OShB6NgQ0yEMl/O2gBKFnQ0CDPFTC3w5KEHo2BDTIQyX87aAEoWdDQIM8VMLfDkoQejYENMhDJfztoAShZ0NAgzxUwt8OShB6NgQ0yEMl/O2gBKFnQ0CDPFTC3w5KEHo2BDTIQyX87aAEoWdDQIM8VMLfDkoQejYENMhDJfztoAShZ0NAgzxUwt8OStD7bIw//H56evrbh48JvyugQR4q4W8HJeh3Nt4/b3yp2v3XXX9dQIM8VNc/HBSiz9m4eLT2vZSHv3a7AwEN8lDd/mxQjB5n4/yoiubd49r31Q8HP3W6BwEN8lCd/mpQjv5m48vDSTBfNBa8mwT1u792uQsBDfJQXf5oUJD+ZuNsI5dVUh90uQsBDfJQXf5oUJDeZmP8bDRa32A/H41ud9kbL6BBHqrD3wxK0ttsTFY3N7bX25Y1nkqLq2/xdTo9mZ4e69t8KCiBgO7/ZHp6rG/zoaAEfW7CH6wftdR1Ex4gsv7WIE42all9LHqnt8cDuGH9BfTT0aSgbxoLLib93FgpBchWj59hnVUfkR0c/3Ja+Ut9JH2no5gAQutzJ8Dbo7UdDgdPe3w0gBvW617U8atmQg+e2IEEfEv6Pgxl/P701fHx8ZPT1+oJfGMcxweQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgEQCCpBIQAESCShAIgEFSCSgAIkEFCCRgAIkElCARAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgEQCCpBIQAESCShAIgEFSCSgAIkEFCCRgAIkElCARAIKkEhAARIJKEAiAQVIJKAAiQS0R18ejm5/HPpJAL0R0B4JKHzbBLRHAgrfNgHtkYDCt01AeySg8G0T0B4JKHzbsg/o51d3R6PRwb0X8wXjt99Pfr7/ZtvPnV08njzAvTfLGo7fTZe8WLRxY8HF88lD/vBxr4COn40Ofq3/+eloevvJku/+On61+rT7f51AV7kH9Gw0N0vVp0f1jwc/Xbb+nPwI/ziv4cXsHkeHs1htLJj9yu2/pwf0/z2a3edPN/U6gc4yD+iyK6PRg2rBZKVvpq7S+s+dnTceYdqu5T1O1hMv2xYsntQ/JAd0qf5v/b9OoLu8A1pl44c/Jv94/2iWt5NJQZ7WK4V3Llt+TnmEasXy7dGo8QhPPl6OXx01HqK5YPNXdtoS0IOnk7t8Oetl/68TSJB3QM8XuZi0p1r9m5RmsUZW/WP9587O5g2cPMD0X5P/O7uj2b82Fmz8ym7tAa3XZav7unMjrxNIkHdAlybhqMKyLM3Z9OPD9Z87O2l+ClnV7Wy5incyXT1cX9AI4ll6QB+sLOn/dQIJvomAfv7956N6pW09H1+bk1mvKrOWLYtaLbmzuWDzV3ZrDejakpn+XieQIveAjt89nu+vrsJysrYBu/5zV40Dkep/NuJW121jwcavXPUK9gpoz68TSJF5QD/Nq9JTWBprgIuAztcv6yUbCzZ+5Qp7BbTv1wmkyDug9cE7t+79+MvfH37La6C9v04gRd4BPVscvD775PFGPwOt99ysL+jjM9DeXyeQIuuANkpzPlrbO13v4Vn/OeEREvbCr/3KFU7W99pvBLT/1wmk+EYCevGwDsvyoMy6bus/d7ZoYLUV3fE40PmvXOFkHr+Lh1cGtLfXCSTIOqBVLapN2+lJQHVBZmfkVOfwTDek13/uan5a0bvWM5FaF0x/5XXzV3arTtP8YfL7izOXNjfh+3+dQIK8A9o8Ub0OS+PE9LVzxhNXzBLOhV/8yj/udTm75e//Hw+3BPQGXifQXd4BvXw5j8qT+SePi0sjzTqy/nNnCVdjelsfdLTf1ZgmeZwdo/Tgy7aA3sTrBDrLPKCX0ytx3ppsQS92o0yvizm6t3qdzMbPnc2uB7rcOzO//OfiFhsLLp4f7X090InPL4+mv749oDfxOoGucg/ozbF7G1gjoLstj/K0extYI6C7VXu3q03zz3ZvA+sEdLfmSehWQIEVAnqFt0f6CbQT0Kt8rr4ec3TryR9DPxEgGgEFSCSgAIkEFCCRgAIkElCARAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgEQCCpBIQAESCShAIgEFSCSgAIkEFCCRgAIkElCARAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgEQCCpBIQAESCShAIgHtZvzu8dFoNLr75I+EXz4fjW5/vN7nc/Hieu8P6EBAuxi/qupZ+6FzCsfPJr/207U+n5ejB9d5f0AnAtrBtIALnVcmP1X1vXOdT2iySiugMBwB3d+0n4cvqo33948TWng2Ovh+dPDrNT4jAYVBCej+TkaNXr3tvDn+5eHo9tvrLZ6AwqAEdG/VFngjV2ddN+Kr2k0i+t1fr+8pCSgMSkD3tlbMqoVvpv/6/OruZHX04N5sh/jJ5Gbvvh+N7r1Z/f2TavP9ZGW9dfx2cruD+2+2/1zd870X9cNOCn7n8uLx5BY/TI8BOJ99GHut+6WA/QnovqpPQFdS9WFW07O13Uon0y310fqnnZP8Tf77efOj00+P6t87+GnLz/N9/odvZj/emS2a3reAwsAEdF+TdLVufS/7OduePhndmlbuzsbtHkwzvAjrZB12pl60/vOn5TFT00ee/PyfnjVuIaAwMAHd15aj4KvqTbeo3z+a3aDa13T7zfrt5uU8W35sObnhwdPLy4tHs9iu/Vzd8+GLajv+qF4wDWq1Mjpf4DNQGJaA7mtLQJfb5PNV1JPWG04/wLxsrshOArlY86z+sf7z8gFnC6qA1ksm/5pvxAsoDEdA93V+1YGf8z3sJ61Vm+89Wn6UurzDs+mi9Z9Plhv7dSjn2Vw+hoDCoAR0X7tPZP/8+89Ho0VANz+VXB6/tLifs7Xbrf1cHTY6f7x69bXeDTW/kzuXAgoDE9B9NfK1anZ9kcW+npO2s43ORw31f1+/3drPy11K8z38808BLhcfCAgoDEpA97X4iHJuXF+QqbGvfHtAV8+in++t3xnQ5v22BbSquYDCoAR0XxvHgU7q9cN8RfHWvR9/+fvD7QFdq2Hr7TYDurbGaw0UghHQva2fu1nvyDmbH+be2Im0GdDGwUuLEl/9Gejacac+A4VgBHRva+fCn09XJBsHxp9v34Rf3fyflXjlAKg7Gz9vrPE2D+Wf7agSUBiUgO7vbNS8GtPR2plFFw+3B3R1D/7scKTlUUkna0cpLdZtZyfbz1ZgP82Pn1+kVEBhUAK6v+meoFvVl3mM3z0eLc87qjbh62vVTwPYEtDVQ0Or+7lzuTjzaPxyefxT8+fq09WDp5PH+PxytDiQfnT/zfLUpD6+IwTYn4B28OVRc0/Q4XRzevP4pM2Arp9Gf74sZHO3/PrPzbt+UN/NrZUDpmb7ppwLDwMR0C6qlcO5+XcizRcdPJl9aLkZ0LO1k5iqUla3vHjUyGPLz+eLfffTBdVHo+fNeM+OjrIVDwMR0G4+v9r4Vs7p5vytJ4tL1W0EdHN30Px0+en1PxsXDt34eXql0VtPFkec3ple8u7W08UNno+mB1MBQxDQfDSOAwUiENB8CCgEI6D5EFAIRkDzIaAQjIDmQ0AhGAHNh4BCMAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgEQCCpBIQAESCShAIgEFSCSgAIkEFCCRgAIkElCARAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgEQCCpBIQAESCShAov8fTXPxQLnFAJEAAAAASUVORK5CYII=)
auto_freq
##
## acc good unacc vgood
## big 144 24 368 40
## med 135 24 392 25
## small 105 21 450 0
chisq.test(auto_freq)
##
## Pearson's Chi-squared test
##
## data: auto_freq
## X-squared = 53.282, df = 6, p-value = 1.029e-09
Movies
movies <- read.csv('movies.csv')
summary(movies)
## Movie LeadStudio RottenTomatoes AudienceScore
## Length:612 Length:612 Min. : 0.00 Min. :19.00
## Class :character Class :character 1st Qu.:26.00 1st Qu.:48.00
## Mode :character Mode :character Median :47.50 Median :60.00
## Mean :49.14 Mean :60.41
## 3rd Qu.:72.00 3rd Qu.:73.00
## Max. :99.00 Max. :96.00
## Story Genre TheatersOpenWeek OpeningWeekend
## Length:612 Length:612 Min. : 2 Min. : 0.032
## Class :character Class :character 1st Qu.:2424 1st Qu.: 8.360
## Mode :character Mode :character Median :2858 Median : 14.780
## Mean :2717 Mean : 22.558
## 3rd Qu.:3332 3rd Qu.: 27.762
## Max. :4468 Max. :169.190
## BOAvgOpenWeekend DomesticGross ForeignGross WorldGross
## Min. : 1003 Min. : 0.97 Min. : 0.01 Min. : 4.677
## 1st Qu.: 3828 1st Qu.: 25.03 1st Qu.: 16.82 1st Qu.: 43.610
## Median : 5978 Median : 44.47 Median : 46.66 Median : 91.375
## Mean : 8046 Mean : 73.58 Mean : 96.94 Mean : 170.377
## 3rd Qu.: 9715 3rd Qu.: 94.97 3rd Qu.: 103.43 3rd Qu.: 203.060
## Max. :93230 Max. :760.50 Max. :2021.00 Max. :2781.500
## Budget Profitability OpenProfit Year
## Min. : 0.5 Min. : 18.17 Min. : 0.34 Min. :2007
## 1st Qu.: 20.0 1st Qu.: 150.79 1st Qu.: 21.90 1st Qu.:2008
## Median : 38.5 Median : 253.78 Median : 37.41 Median :2009
## Mean : 57.2 Mean : 355.40 Mean : 56.39 Mean :2009
## 3rd Qu.: 75.0 3rd Qu.: 394.61 3rd Qu.: 59.18 3rd Qu.:2010
## Max. :300.0 Max. :6694.40 Max. :1368.00 Max. :2011
movies$LeadStudio<-as.factor(movies$LeadStudio)
movies$RottenTomatoes<-as.numeric(movies$RottenTomatoes)
movies$AudienceScore<-as.numeric(movies$AudienceScore)
movies$Story<-as.factor(movies$Story)
movies$Genre<-as.factor(movies$Genre)
movies$TheatersOpenWeek<-as.numeric(movies$TheatersOpenWeek)
movies$OpeningWeekend<-as.numeric(movies$OpeningWeekend)
movies$BOAvgOpenWeekend<-as.numeric(movies$BOAvgOpenWeekend)
movies$DomesticGross<-as.numeric(movies$DomesticGross)
movies$ForeignGross<-as.numeric(movies$ForeignGross)
movies$WorldGross<-as.numeric(movies$WorldGross)
movies$Budget<-as.numeric(movies$Budget)
movies$Profitability<-as.numeric(movies$Profitability)
movies$OpenProfit<-as.numeric(movies$OpenProfit)
movies$Year<-as.factor(movies$Year)
plot(movies$RottenTomatoes, movies$AudienceScore)
![](data:image/png;base64,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)
cor(movies$AudienceScore, movies$RottenTomatoes)
## [1] 0.6881901
model<- lm(movies$AudienceScore ~ movies$RottenTomatoes)
model
##
## Call:
## lm(formula = movies$AudienceScore ~ movies$RottenTomatoes)
##
## Coefficients:
## (Intercept) movies$RottenTomatoes
## 39.5875 0.4238
plot(movies$RottenTomatoes, movies$AudienceScore)
abline(model)
![](data:image/png;base64,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)
library(MASS)
residual=resid(model) ## Obtain residuals
stu.residual =studres(model) ## Obtain Studentized residuals
## Studentized residual plot
plot(movies$RottenTomatoes, stu.residual ,main="Studentized Residual Plot",xlab = 'Rotten Tomatoes',ylab = 'Residual')
## Add different horizontal line.
abline(h=c(-2,0,2), col=c("red", "blue", "red"), lty=c(2,1,2), lwd=c(3,2,3))
abline(h=0)
![](data:image/png;base64,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)
## histogram of studentized residual
hist(stu.residual )
![](data:image/png;base64,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)
ERTL COMPANY
A<-c(15,15,20)
B<-c(13,11,25)
C<-c(21,13,12)
company<-data.frame(A,B,C)
company_total<-company
add total by column
l<-function(x) sum(x)
company_total<-rbind(company, apply(company, 2,l))
row.names(company_total)<-c('Minor Defect','Major Defect','Good','Total')
company_total
add total by row
l<-function(x) sum(x)
company_total<-cbind(company_total, apply(company_total, 1,l))
colnames(company_total)<-c('A','B','C','Total')
company_total
Total<-apply(company, 1, function(x) sum(x))
company_total<-cbind(company,Total)
total<-company_total[,'Total']
total/sum(total)*100
## [1] 33.79310 26.89655 39.31034
#total
row.names(company)<-c('Minor Defect','Major Defect','Good')
company
chisq.test(company) # Chi-square Test
##
## Pearson's Chi-squared test
##
## data: company
## X-squared = 7.2248, df = 4, p-value = 0.1245