{"id":507,"date":"2023-07-29T16:34:41","date_gmt":"2023-07-29T16:34:41","guid":{"rendered":"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon-r\/"},"modified":"2023-07-29T16:34:41","modified_gmt":"2023-07-29T16:34:41","slug":"coklu-dogrusal-regresyon-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon-r\/","title":{"rendered":"R&#39;de \u00e7oklu do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Bu k\u0131lavuz, R&#8217;de <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener\">\u00e7oklu do\u011frusal regresyonun<\/a> nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin bir \u00f6rne\u011fi g\u00f6sterir; \u00f6rne\u011fin:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Modeli yerle\u015ftirmeden \u00f6nce verileri inceleyin<\/span><\/li>\n<li> <span style=\"color: #000000;\">Model ayar\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\">Model varsay\u0131mlar\u0131n\u0131n kontrol edilmesi<\/span><\/li>\n<li> <span style=\"color: #000000;\">Model \u00e7\u0131kt\u0131s\u0131n\u0131n yorumlanmas\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\">Modelin uyum iyili\u011finin de\u011ferlendirilmesi<\/span><\/li>\n<li> <span style=\"color: #000000;\">Tahminlerde bulunmak i\u00e7in modeli kullan\u0131n<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Hadi gidelim!<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Tesis<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnek i\u00e7in, 32 farkl\u0131 araban\u0131n \u00e7e\u015fitli nitelikleri hakk\u0131nda bilgi i\u00e7eren yerle\u015fik R veri k\u00fcmesi <a href=\"https:\/\/statorials.org\/tr\/mtcars-r-veri-kumesi\/\" target=\"_blank\" rel=\"noopener\"><em>mtcars&#8217;\u0131<\/em><\/a> kullanaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#view first six lines of <em>mtcars<\/em><\/span>\nhead(mtcars)\n\n# mpg cyl disp hp drat wt qsec vs am gear carb\n#Mazda RX4 21.0 6 160 110 3.90 2.620 16.46 0 1 4 4\n#Mazda RX4 Wag 21.0 6 160 110 3.90 2.875 17.02 0 1 4 4\n#Datsun 710 22.8 4 108 93 3.85 2.320 18.61 1 1 4 1\n#Hornet 4 Drive 21.4 6 258 110 3.08 3.215 19.44 1 0 3 1\n#Hornet Sportabout 18.7 8 360 175 3.15 3.440 17.02 0 0 3 2\n#Valiant 18.1 6 225 105 2.76 3.460 20.22 1 0 3 1\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnekte, yan\u0131t de\u011fi\u015fkeni olarak <em>mpg&#8217;yi<\/em> ve tahmin de\u011fi\u015fkenleri olarak <em>disp<\/em> , <em>hp<\/em> ve <em>drat&#8217;\u0131<\/em> kullanan \u00e7oklu do\u011frusal regresyon modeli olu\u015fturaca\u011f\u0131z.<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create new data frame that contains only the variables we would like to use to\n<\/span>data &lt;- mtcars[, c(\"mpg\", \"disp\", \"hp\", \"drat\")]\n\n<span style=\"color: #008080;\">#view first six rows of new data frame\n<span style=\"color: #000000;\">head(data)\n\n# mpg disp hp drat\n#Mazda RX4 21.0 160 110 3.90\n#Mazda RX4 Wag 21.0 160 110 3.90\n#Datsun 710 22.8 108 93 3.85\n#Hornet 4 Drive 21.4 258 110 3.08\n#Hornet Sportabout 18.7 360 175 3.15\n#Valiant 18.1 225 105 2.76<\/span><\/span><\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Veri \u0130ncelemesi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Modeli yerle\u015ftirmeden \u00f6nce, daha iyi anlamak i\u00e7in verilere bakabiliriz ve ayr\u0131ca \u00e7oklu do\u011frusal regresyonun bu verilere uyacak iyi bir model olup olamayaca\u011f\u0131n\u0131 g\u00f6rsel olarak de\u011ferlendirebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6zellikle, yorday\u0131c\u0131 de\u011fi\u015fkenlerin yan\u0131t de\u011fi\u015fkeniyle <em>do\u011frusal<\/em> bir ili\u015fkiye sahip olup olmad\u0131\u011f\u0131n\u0131 kontrol etmemiz gerekir; bu, \u00e7oklu do\u011frusal regresyon modelinin uygun olabilece\u011fini g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu yapmak i\u00e7in, her olas\u0131 de\u011fi\u015fken \u00e7iftinin da\u011f\u0131l\u0131m grafi\u011fini olu\u015fturmak amac\u0131yla <strong>\u00e7iftler()<\/strong> i\u015flevini kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong>pairs(data, pch = 18, col = \"steelblue\")<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bu \u00e7ift grafi\u011finden a\u015fa\u011f\u0131dakileri g\u00f6rebiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><em>mpg<\/em> ve <em>kullan\u0131labilirlik<\/em> aras\u0131nda g\u00fc\u00e7l\u00fc bir negatif do\u011frusal korelasyon var gibi g\u00f6r\u00fcn\u00fcyor<\/span><\/li>\n<li> <span style=\"color: #000000;\"><em>mpg<\/em> ve <em>hp&#8217;nin<\/em> g\u00fc\u00e7l\u00fc bir pozitif do\u011frusal korelasyona sahip oldu\u011fu g\u00f6r\u00fcl\u00fcyor<\/span><\/li>\n<li> <span style=\"color: #000000;\"><em>mpg<\/em> ve <em>drat&#8217;\u0131n<\/em> m\u00fctevaz\u0131 bir negatif do\u011frusal korelasyona sahip oldu\u011fu g\u00f6r\u00fcl\u00fcyor<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Her de\u011fi\u015fken \u00e7ifti i\u00e7in ger\u00e7ek <a href=\"https:\/\/statorials.org\/tr\/pearson-korelasyon-katsayisi-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">do\u011frusal korelasyon katsay\u0131lar\u0131n\u0131<\/a> i\u00e7eren benzer bir grafik olu\u015fturmak i\u00e7in <strong>GGally<\/strong> k\u00fct\u00fcphanesindeki <strong>ggpairs()<\/strong> fonksiyonunu da kullanabilece\u011fimizi unutmay\u0131n:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#install and load the <em>GGally<\/em> library<\/span>\ninstall.packages(\"GGally\")\nlibrary(GGally)\n\n<span style=\"color: #008080;\">#generate the pairs plot\n<\/span>ggpairs(data)<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Tahmin de\u011fi\u015fkenlerinin her birinin, <em>mpg<\/em> yan\u0131t de\u011fi\u015fkeniyle dikkate de\u011fer bir do\u011frusal korelasyona sahip oldu\u011fu g\u00f6r\u00fcl\u00fcyor, bu nedenle do\u011frusal regresyon modelini verilere uydurmaya devam edece\u011fiz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Model ayar\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">R&#8217;ye \u00e7oklu do\u011frusal regresyon modeli yerle\u015ftirmek i\u00e7in temel s\u00f6zdizimi \u015f\u00f6yledir:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong>lm(response_variable ~ predictor_variable1 + predictor_variable2 + ..., data = data)<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Verilerimizi kullanarak a\u015fa\u011f\u0131daki kodu kullanarak modeli s\u0131\u011fd\u0131rabiliriz:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong>model &lt;- lm(mpg ~ disp + hp + drat, data = data)<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Model varsay\u0131mlar\u0131n\u0131n kontrol edilmesi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Model sonu\u00e7lar\u0131n\u0131 do\u011frulamaya ba\u015flamadan \u00f6nce, ilk olarak model varsay\u0131mlar\u0131n\u0131n kar\u015f\u0131land\u0131\u011f\u0131n\u0131 do\u011frulamam\u0131z gerekir. Yani a\u015fa\u011f\u0131dakileri kontrol etmemiz gerekiyor:<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">1. Model art\u0131klar\u0131n\u0131n da\u011f\u0131l\u0131m\u0131 yakla\u015f\u0131k olarak normal olmal\u0131d\u0131r.<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Art\u0131klar\u0131n basit bir histogram\u0131n\u0131 olu\u015fturarak bu varsay\u0131m\u0131n kar\u015f\u0131lan\u0131p kar\u015f\u0131lanmad\u0131\u011f\u0131n\u0131 kontrol edebiliriz:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong>hist(residuals(model), col = \"steelblue\")\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Da\u011f\u0131l\u0131m biraz <a href=\"https:\/\/statorials.org\/tr\/sol-onyargi-ve-sag-onyargi\/\" target=\"_blank\" rel=\"noopener\">sa\u011fa \u00e7arp\u0131k<\/a> olsa da b\u00fcy\u00fck endi\u015fe yaratacak kadar anormal de\u011fil.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Art\u0131klar\u0131n varyans\u0131 t\u00fcm g\u00f6zlemler i\u00e7in tutarl\u0131 olmal\u0131d\u0131r.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu tercih edilen ko\u015ful, e\u015f varyansl\u0131l\u0131k olarak bilinir. Bu varsay\u0131m\u0131n ihlali de\u011fi\u015fen varyans olarak bilinir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu varsay\u0131m\u0131n kar\u015f\u0131lan\u0131p kar\u015f\u0131lanmad\u0131\u011f\u0131n\u0131 kontrol etmek i\u00e7in <em>d\u00fczeltilmi\u015f\/art\u0131k de\u011fer grafi\u011fi olu\u015fturabiliriz:<\/em><\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create fitted value vs residual plot<\/span>\nplot(fitted(model), residuals(model))\n\n<span style=\"color: #008080;\">#add horizontal line at 0\n<\/span>abline(h = 0, lty = 2)<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u0130deal olarak, art\u0131klar\u0131n her uygun de\u011ferde e\u015fit \u015fekilde da\u011f\u0131lmas\u0131n\u0131 isteriz. Grafikten, daha b\u00fcy\u00fck uyum de\u011ferleri i\u00e7in da\u011f\u0131l\u0131m\u0131n biraz daha b\u00fcy\u00fck olma e\u011filiminde oldu\u011funu g\u00f6rebiliriz, ancak bu e\u011filim, \u00e7ok fazla endi\u015fe yaratacak kadar a\u015f\u0131r\u0131 de\u011fildir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Model \u00e7\u0131kt\u0131s\u0131n\u0131n yorumlanmas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Model varsay\u0131mlar\u0131n\u0131n yeterince kar\u015f\u0131land\u0131\u011f\u0131n\u0131 do\u011frulad\u0131ktan sonra, <strong>\u00f6zet()<\/strong> i\u015flevini kullanarak model \u00e7\u0131kt\u0131s\u0131n\u0131 inceleyebiliriz:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong>summary(model)\n\n#Call:\n#lm(formula = mpg ~ disp + hp + drat, data = data)\n#\n#Residuals:\n# Min 1Q Median 3Q Max \n#-5.1225 -1.8454 -0.4456 1.1342 6.4958 \n#\n#Coefficients:\n#Estimate Std. Error t value Pr(&gt;|t|)   \n#(Intercept) 19.344293 6.370882 3.036 0.00513 **\n#disp -0.019232 0.009371 -2.052 0.04960 * \n#hp -0.031229 0.013345 -2.340 0.02663 * \n#drat 2.714975 1.487366 1.825 0.07863 . \n#---\n#Significant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n#\n#Residual standard error: 3.008 on 28 degrees of freedom\n#Multiple R-squared: 0.775, Adjusted R-squared: 0.7509 \n#F-statistic: 32.15 on 3 and 28 DF, p-value: 3.28e-09\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Sonu\u00e7tan \u015funlar\u0131 g\u00f6rebiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Modelin genel F istatisti\u011fi <strong>32,15<\/strong> ve buna kar\u015f\u0131l\u0131k gelen p de\u011feri <strong>3,28e-09&#8217;dur<\/strong> . Bu durum genel modelin istatistiksel olarak anlaml\u0131 oldu\u011funu g\u00f6stermektedir. Ba\u015fka bir deyi\u015fle regresyon modeli bir b\u00fct\u00fcn olarak faydal\u0131d\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><em>disp<\/em> istatistiksel olarak 0,10 anlaml\u0131l\u0131k seviyesinde anlaml\u0131d\u0131r. \u00d6zellikle, model sonu\u00e7lar\u0131ndan elde edilen katsay\u0131, <em>beygir g\u00fcc\u00fc<\/em> ve <em>yak\u0131t t\u00fcketiminin<\/em> sabit kald\u0131\u011f\u0131 varsay\u0131larak, <em>kullan\u0131labilirlikteki<\/em> bir birimlik art\u0131\u015f\u0131n <em>mpg<\/em> cinsinden ortalama -0,019 birimlik bir d\u00fc\u015f\u00fc\u015fle ili\u015fkili oldu\u011funu g\u00f6stermektedir. .<\/span><\/li>\n<li> <span style=\"color: #000000;\"><em>hp<\/em> istatistiksel olarak 0,10 anlaml\u0131l\u0131k d\u00fczeyinde anlaml\u0131d\u0131r. \u00d6zellikle, model sonu\u00e7lar\u0131ndan elde edilen katsay\u0131, <i>disp<\/i> ve <em>drat&#8217;\u0131n<\/em> sabit kald\u0131\u011f\u0131 varsay\u0131larak, <i>beygir<\/i> g\u00fcc\u00fcndeki bir birimlik art\u0131\u015f\u0131n <em>mpg<\/em> cinsinden ortalama -0,031 birimlik bir azalmayla ili\u015fkili oldu\u011funu g\u00f6stermektedir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><em>drat<\/em> istatistiksel olarak 0,10 anlaml\u0131l\u0131k d\u00fczeyinde anlaml\u0131d\u0131r. \u00d6zellikle, model sonu\u00e7lar\u0131ndan elde edilen katsay\u0131, <i>ak\u0131\u015f h\u0131z\u0131<\/i> ve <i>beygir g\u00fcc\u00fcn\u00fcn<\/i> sabit kald\u0131\u011f\u0131 varsay\u0131ld\u0131\u011f\u0131nda, <i>benzin<\/i> t\u00fcketimindeki bir birimlik art\u0131\u015f\u0131n ortalama 2.715 <em>mpg&#8217;lik<\/em> bir art\u0131\u015fla ili\u015fkili oldu\u011funu g\u00f6stermektedir.<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Modelin uyum iyili\u011finin de\u011ferlendirilmesi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Regresyon modelinin verilere ne kadar iyi uydu\u011funu de\u011ferlendirmek i\u00e7in birka\u00e7 farkl\u0131 \u00f6l\u00e7\u00fcme bakabiliriz:<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">1. \u00c7oklu R-kareler<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Bu, yorday\u0131c\u0131 de\u011fi\u015fkenler ile yan\u0131t de\u011fi\u015fkeni aras\u0131ndaki do\u011frusal ili\u015fkinin g\u00fcc\u00fcn\u00fc \u00f6l\u00e7er. 1&#8217;in R-kare kat\u0131 m\u00fckemmel bir do\u011frusal ili\u015fkiyi belirtirken, 0&#8217;\u0131n R-kare kat\u0131 do\u011frusal bir ili\u015fki olmad\u0131\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7oklu R, ayn\u0131 zamanda, yorday\u0131c\u0131 de\u011fi\u015fkenler taraf\u0131ndan a\u00e7\u0131klanabilen yan\u0131t de\u011fi\u015fkenindeki varyans\u0131n oran\u0131 olan R karenin karek\u00f6k\u00fcd\u00fcr. Bu \u00f6rnekte R-kare kat\u0131 <strong>0,775&#8217;tir<\/strong> . Yani R kare 0,775 <sup>2<\/sup> = <strong>0,601&#8217;dir<\/strong> . Bu, <i>mpg&#8217;deki<\/i> varyans\u0131n <strong>%60,1&#8217;inin<\/strong> model yorday\u0131c\u0131lar\u0131 taraf\u0131ndan a\u00e7\u0131klanabilece\u011fini g\u00f6stermektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0130lgili:<\/strong> \u0130yi bir R-kare de\u011feri nedir?<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Art\u0131k standart hata<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, g\u00f6zlemlenen de\u011ferler ile regresyon \u00e7izgisi aras\u0131ndaki ortalama mesafeyi \u00f6l\u00e7er. Bu \u00f6rnekte g\u00f6zlemlenen de\u011ferler regresyon do\u011frusundan ortalama <strong>3.008 birim<\/strong> sapmaktad\u0131r <strong>.<\/strong><\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">\u0130lgili:<\/span><\/strong> <span style=\"color: #000000;\">&nbsp;<\/span> Regresyonun Standart Hatas\u0131n\u0131 Anlamak<\/p>\n<h3> <span style=\"color: #000000;\"><strong>Tahminlerde bulunmak i\u00e7in modeli kullan\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Model sonu\u00e7lar\u0131ndan, uygun \u00e7oklu do\u011frusal regresyon denkleminin \u015f\u00f6yle oldu\u011funu biliyoruz:<\/span><\/p>\n<p style=\"text-align: left;\"> <span style=\"color: #000000;\"><sub>\u015fapka<\/sub> mpg = -19,343 \u2013 0,019*disp \u2013 0,031*hp + 2,715*s\u00fcreklilik<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu denklemi yeni <a href=\"https:\/\/statorials.org\/tr\/istatistikte-gozlem\/\" target=\"_blank\" rel=\"noopener\">g\u00f6zlemler<\/a> i\u00e7in <em>mpg&#8217;nin<\/em> ne olaca\u011f\u0131na dair tahminlerde bulunmak i\u00e7in kullanabiliriz. \u00d6rne\u011fin a\u015fa\u011f\u0131daki \u00f6zelliklere sahip bir araban\u0131n tahmini <em>mpg<\/em> de\u011ferini bulabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><em>ekran<\/em> = 220<\/span><\/li>\n<li> <span style=\"color: #000000;\"><em>kanal<\/em> = 150<\/span><\/li>\n<li> <span style=\"color: #000000;\"><em>s\u00fcr<\/em> = 3<\/span><\/li>\n<\/ul>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define the coefficients from the model output<\/span>\nintercept &lt;- coef(summary(model))[\"(Intercept)\", \"Estimate\"]\ndisp &lt;- coef(summary(model))[\"disp\", \"Estimate\"]\nhp &lt;- coef(summary(model))[\"hp\", \"Estimate\"]\ndrat &lt;- coef(summary(model))[\"drat\", \"Estimate\"]\n\n<span style=\"color: #008080;\">#use the model coefficients to predict the value for <em>mpg<\/em>\n<\/span>intercept + disp*220 + hp*150 + drat*3\n\n#[1] 18.57373<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><em>Disp<\/em> = 220, <em>hp<\/em> = 150 ve <em>drat<\/em> = 3 olan bir araba i\u00e7in model, araban\u0131n <strong>18,57373<\/strong> <em>mpg<\/em> alaca\u011f\u0131n\u0131 tahmin ediyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>Bu e\u011fitimde kullan\u0131lan R kodunun tamam\u0131n\u0131 <a href=\"https:\/\/github.com\/Statorials\/R-Guides\/blob\/main\/multiple_linear_regression.R\" target=\"_blank\" rel=\"noopener noreferrer\">burada<\/a> bulabilirsiniz.<\/em><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde R&#8217;ye di\u011fer regresyon modellerinin nas\u0131l s\u0131\u011fd\u0131r\u0131laca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/ikinci-dereceden-regresyon-r\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de ikinci dereceden regresyon nas\u0131l ger\u00e7ekle\u015ftirilir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/polinom-regresyon-r\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de polinom regresyonu nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rde-ustel-regresyon\/\">R&#8217;de \u00fcstel regresyon nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bu k\u0131lavuz, R&#8217;de \u00e7oklu do\u011frusal regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin bir \u00f6rne\u011fi g\u00f6sterir; \u00f6rne\u011fin: Modeli yerle\u015ftirmeden \u00f6nce verileri inceleyin Model ayar\u0131 Model varsay\u0131mlar\u0131n\u0131n kontrol edilmesi Model \u00e7\u0131kt\u0131s\u0131n\u0131n yorumlanmas\u0131 Modelin uyum iyili\u011finin de\u011ferlendirilmesi Tahminlerde bulunmak i\u00e7in modeli kullan\u0131n Hadi gidelim! Tesis Bu \u00f6rnek i\u00e7in, 32 farkl\u0131 araban\u0131n \u00e7e\u015fitli nitelikleri hakk\u0131nda bilgi i\u00e7eren yerle\u015fik R veri k\u00fcmesi mtcars&#8217;\u0131 [&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-507","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 \u00e7oklu do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir?<\/title>\n<meta name=\"description\" content=\"Bu k\u0131lavuz, R&#039;de \u00e7oklu do\u011frusal regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011finin yan\u0131 s\u0131ra model varsay\u0131mlar\u0131n\u0131n nas\u0131l kontrol edilece\u011fini ve model uygunlu\u011funun nas\u0131l de\u011ferlendirilece\u011fini a\u00e7\u0131klamaktad\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\/coklu-dogrusal-regresyon-r\/\" \/>\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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