{"id":3468,"date":"2023-07-17T08:05:49","date_gmt":"2023-07-17T08:05:49","guid":{"rendered":"https:\/\/statorials.org\/tr\/r-kategorik-degiskenlerle-dogrusal-regresyon\/"},"modified":"2023-07-17T08:05:49","modified_gmt":"2023-07-17T08:05:49","slug":"r-kategorik-degiskenlerle-dogrusal-regresyon","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/r-kategorik-degiskenlerle-dogrusal-regresyon\/","title":{"rendered":"R&#39;de kategorik de\u011fi\u015fkenlerle do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Do\u011frusal regresyon, bir veya daha fazla \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fken ile bir <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener\">yan\u0131t de\u011fi\u015fkeni<\/a> aras\u0131ndaki ili\u015fkiyi \u00f6l\u00e7mek i\u00e7in kullanabilece\u011fimiz bir y\u00f6ntemdir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7o\u011fu zaman, bir veya daha fazla <a href=\"https:\/\/statorials.org\/tr\/kategorik-ve-niceliksel\/\" target=\"_blank\" rel=\"noopener\">kategorik de\u011fi\u015fkeni<\/a> yorday\u0131c\u0131 de\u011fi\u015fkenler olarak kullanarak bir regresyon modeli uydurmak isteyebilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde, R&#8217;de kategorik de\u011fi\u015fkenlerle do\u011frusal regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin ad\u0131m ad\u0131m bir \u00f6rnek sunulmaktad\u0131r.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek: R&#8217;de Kategorik De\u011fi\u015fkenlerle Do\u011frusal Regresyon<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">R&#8217;de 12 farkl\u0131 basketbol oyuncusu i\u00e7in \u00fc\u00e7 de\u011fi\u015fken hakk\u0131nda bilgi i\u00e7eren a\u015fa\u011f\u0131daki veri \u00e7er\u00e7evesine sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">kazan\u0131lan puanlar<\/span><\/li>\n<li> <span style=\"color: #000000;\">pratik yapmak i\u00e7in harcanan saatler<\/span><\/li>\n<li> <span style=\"color: #000000;\">kullan\u0131lan e\u011fitim program\u0131<\/span><\/li>\n<\/ul>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (points=c(7, 7, 9, 10, 13, 14, 12, 10, 16, 19, 22, 18),\n                 hours=c(1, 2, 2, 3, 2, 6, 4, 3, 4, 5, 8, 6),\n                 program=c(1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3))\n\n<span style=\"color: #008080;\">#view data frame\n<\/span>df\n\n   points hours program\n1 7 1 1\n2 7 2 1\n3 9 2 1\n4 10 3 1\n5 13 2 2\n6 14 6 2\n7 12 4 2\n8 10 3 2\n9 16 4 3\n10 19 5 3\n11 22 8 3\n12 18 6 3<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki do\u011frusal regresyon modeline uymak istedi\u011fimizi varsayal\u0131m:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>puan = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> saat + \u03b2 <sub>2<\/sub> program<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnekte saatler s\u00fcrekli bir de\u011fi\u015fkendir ancak program \u00fc\u00e7 olas\u0131 kategoriyi alabilen <strong>kategorik bir de\u011fi\u015fkendir<\/strong> : program 1, program 2 veya program 3.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu regresyon modelini uydurmak ve R&#8217;ye &#8220;program&#8221; de\u011fi\u015fkeninin kategorik bir de\u011fi\u015fken oldu\u011funu s\u00f6ylemek i\u00e7in <strong>as.factor()<\/strong> kullanarak onu bir fakt\u00f6re d\u00f6n\u00fc\u015ft\u00fcrmemiz ve ard\u0131ndan modeli yerle\u015ftirmemiz gerekir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#convert 'program' to factor\n<span style=\"color: #000000;\">df$program &lt;- as. <span style=\"color: #3366ff;\">factor<\/span> (df$program)\n<\/span>\n#fit linear regression model\n<span style=\"color: #000000;\">fit &lt;- lm(points ~ hours + program, data = df)\n<\/span>\n#view model summary\n<span style=\"color: #000000;\">summary(fit)\n\nCall:\nlm(formula = points ~ hours + program, data = df)\n\nResiduals:\n    Min 1Q Median 3Q Max \n-1.5192 -1.0064 -0.3590 0.8269 2.4551 \n\nCoefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 6.3013 0.9462 6.660 0.000159 ***\nhours 0.9744 0.3176 3.068 0.015401 *  \nprogram2 2.2949 1.1369 2.019 0.078234 .  \nprogram3 6.8462 1.5499 4.417 0.002235 ** \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 1.403 on 8 degrees of freedom\nMultiple R-squared: 0.9392, Adjusted R-squared: 0.9164 \nF-statistic: 41.21 on 3 and 8 DF, p-value: 3.276e-05<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>Tahmin<\/strong> s\u00fctunundaki de\u011ferlerden uygun regresyon modelini yazabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>puan = 6,3013 + 0,9744 (saat) + 2,2949 (program 2) + 6,8462 (program 3)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Sonu\u00e7taki katsay\u0131 de\u011ferlerinin nas\u0131l yorumlanaca\u011f\u0131 a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Saatler<\/strong> : Program\u0131n sabit kald\u0131\u011f\u0131 varsay\u0131larak, pratik yapmak i\u00e7in harcanan her ilave saat i\u00e7in, kazan\u0131lan puanlar ortalama <strong>0,9744<\/strong> artar.<\/span>\n<ul>\n<li> <span style=\"color: #000000;\">P de\u011feri 0,015&#8217;tir; bu, pratik yapmak i\u00e7in harcanan saatlerin \u03b1 = 0,05 d\u00fczeyinde kazan\u0131lan puanlar\u0131n istatistiksel olarak anlaml\u0131 bir yorday\u0131c\u0131s\u0131 oldu\u011funu g\u00f6sterir.<\/span><\/li>\n<\/ul>\n<\/li>\n<li> <span style=\"color: #000000;\"><strong>Program2<\/strong> : Saatlerin sabit kalaca\u011f\u0131 varsay\u0131larak, Program 2&#8217;yi kullanan oyuncular, Program 1&#8217;i kullanan oyunculardan ortalama <strong>2,2949<\/strong> daha fazla puan elde etti.<\/span>\n<ul>\n<li> <span style=\"color: #000000;\">P de\u011feri 0,078&#8217;dir; bu, \u03b1 = 0,05 d\u00fczeyinde, program 2&#8217;yi kullanan oyuncular\u0131n, program 1&#8217;i kullanan oyuncularla kar\u015f\u0131la\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda elde etti\u011fi puanlarda istatistiksel olarak anlaml\u0131 bir fark olmad\u0131\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/li>\n<\/ul>\n<\/li>\n<li> <span style=\"color: #000000;\"><strong>Program3<\/strong> : Saatlerin sabit kalaca\u011f\u0131 varsay\u0131larak, Program 3&#8217;\u00fc kullanan oyuncular, Program 1&#8217;i kullanan oyunculardan ortalama <strong>2,2949<\/strong> daha fazla puan elde etti.<\/span>\n<ul>\n<li> <span style=\"color: #000000;\">P de\u011feri 0,002&#8217;dir; bu, \u03b1 = 0,05 d\u00fczeyinde program 1&#8217;i kullanan oyuncularla kar\u015f\u0131la\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda program 3&#8217;\u00fc kullanan oyuncular\u0131n att\u0131\u011f\u0131 puanlarda istatistiksel olarak anlaml\u0131 bir fark oldu\u011funu g\u00f6sterir.<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Uygun regresyon modelini kullanarak, antrenmanda harcanan toplam saat say\u0131s\u0131na ve kulland\u0131klar\u0131 programa g\u00f6re bir oyuncunun att\u0131\u011f\u0131 puan say\u0131s\u0131n\u0131 tahmin edebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, 5 saat antrenman yapan ve antrenman program\u0131 3&#8217;\u00fc kullanan bir oyuncunun puanlar\u0131n\u0131 tahmin etmek i\u00e7in a\u015fa\u011f\u0131daki kodu kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define new player\n<\/span>new &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (hours=c(5), program=as. <span style=\"color: #3366ff;\">factor<\/span> (c(3)))\n\n<span style=\"color: #008080;\">#use the fitted model to predict the points for the new player\n<\/span>predict(fit, newdata=new)\n\n       1 \n18.01923 \n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Model, bu yeni oyuncunun <strong>18,01923<\/strong> puan alaca\u011f\u0131n\u0131 \u00f6ng\u00f6r\u00fcyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yeni oyuncunun de\u011ferlerini uygun regresyon denklemine yerle\u015ftirerek bunun do\u011fru oldu\u011funu do\u011frulayabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">puan = 6,3013 + 0,9744 (saat) + 2,2949 (program 2) + 6,8462 (program 3)<\/span><\/li>\n<li> <span style=\"color: #000000;\">puan = 6,3013 + 0,9744(5) + 2,2949(0) + 6,8462(1)<\/span><\/li>\n<li> <span style=\"color: #000000;\">puan = 18.019<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu, R&#8217;deki <strong>tahmin()<\/strong> i\u015flevini kullanarak hesaplad\u0131\u011f\u0131m\u0131z de\u011ferle e\u015fle\u015fir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde R&#8217;de di\u011fer ortak g\u00f6revlerin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/rde-basit-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de basit do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon-r\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de \u00e7oklu do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/kalan-iz-r\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de art\u0131k arsa nas\u0131l olu\u015fturulur<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Do\u011frusal regresyon, bir veya daha fazla \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fken ile bir yan\u0131t de\u011fi\u015fkeni aras\u0131ndaki ili\u015fkiyi \u00f6l\u00e7mek i\u00e7in kullanabilece\u011fimiz bir y\u00f6ntemdir. \u00c7o\u011fu zaman, bir veya daha fazla kategorik de\u011fi\u015fkeni yorday\u0131c\u0131 de\u011fi\u015fkenler olarak kullanarak bir regresyon modeli uydurmak isteyebilirsiniz. Bu e\u011fitimde, R&#8217;de kategorik de\u011fi\u015fkenlerle do\u011frusal regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin ad\u0131m ad\u0131m bir \u00f6rnek sunulmaktad\u0131r. \u00d6rnek: R&#8217;de Kategorik De\u011fi\u015fkenlerle [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-3468","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>R - Statorialsde kategorik de\u011fi\u015fkenlerle do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir?<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, R&#039;de kategorik de\u011fi\u015fkenlerle do\u011frusal regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi tam bir \u00f6rnekle birlikte a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/tr\/r-kategorik-degiskenlerle-dogrusal-regresyon\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R - 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