{"id":492,"date":"2023-07-29T17:48:18","date_gmt":"2023-07-29T17:48:18","guid":{"rendered":"https:\/\/statorials.org\/tr\/adim-adim-regresyon-r\/"},"modified":"2023-07-29T17:48:18","modified_gmt":"2023-07-29T17:48:18","slug":"adim-adim-regresyon-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/adim-adim-regresyon-r\/","title":{"rendered":"R&#39;de ad\u0131m ad\u0131m regresyon i\u0307\u00e7in tam bir k\u0131lavuz"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/asamalara-gore-secim\/\" target=\"_blank\" rel=\"noopener noreferrer\">Ad\u0131m ad\u0131m regresyon,<\/a> tahmin edicileri modele ad\u0131m ad\u0131m girerek ve \u00e7\u0131kararak bir dizi tahmin de\u011fi\u015fkeninden bir <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener noreferrer\">regresyon modeli<\/a> olu\u015fturmak i\u00e7in kullanabilece\u011fimiz bir prosed\u00fcrd\u00fcr. daha fazlas\u0131n\u0131 sil.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ad\u0131m ad\u0131m regresyonun amac\u0131 <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener noreferrer\">, yan\u0131t de\u011fi\u015fkeniyle<\/a> istatistiksel olarak anlaml\u0131 d\u00fczeyde ili\u015fkili olan t\u00fcm yorday\u0131c\u0131 de\u011fi\u015fkenleri i\u00e7eren bir regresyon modeli olu\u015fturmakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde R&#8217;de a\u015fa\u011f\u0131daki ad\u0131m ad\u0131m regresyon prosed\u00fcrlerinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ad\u0131m ad\u0131m ileri se\u00e7im<\/span><\/li>\n<li> <span style=\"color: #000000;\">Ad\u0131m ad\u0131m geriye do\u011fru se\u00e7im<\/span><\/li>\n<li> <span style=\"color: #000000;\">Her iki y\u00f6nde ad\u0131m ad\u0131m se\u00e7im<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Her \u00f6rnek i\u00e7in yerle\u015fik <strong>mtcars<\/strong> veri k\u00fcmesini kullanaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#view first six rows of <em>mtcars\n<\/em><\/span>head(mtcars)\n\n                   mpg cyl disp hp drat wt qsec vs am gear carb\nMazda RX4 21.0 6 160 110 3.90 2.620 16.46 0 1 4 4\nMazda RX4 Wag 21.0 6 160 110 3.90 2.875 17.02 0 1 4 4\nDatsun 710 22.8 4 108 93 3.85 2.320 18.61 1 1 4 1\nHornet 4 Drive 21.4 6 258 110 3.08 3.215 19.44 1 0 3 1\nHornet Sportabout 18.7 8 360 175 3.15 3.440 17.02 0 0 3 2\nValiant 18.1 6 225 105 2.76 3,460 20.22 1 0 3 1\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Yan\u0131t de\u011fi\u015fkeni olarak <em>mpg&#8217;yi<\/em> (galon ba\u015f\u0131na mil) ve veri setindeki di\u011fer 10 de\u011fi\u015fkeni potansiyel \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkenler olarak kullanarak \u00e7oklu do\u011frusal regresyon modelini yerle\u015ftirece\u011fiz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her \u00f6rnekte, a\u015fa\u011f\u0131daki s\u00f6zdizimini kullanan ad\u0131m ad\u0131m se\u00e7im ger\u00e7ekle\u015ftirmek i\u00e7in istatistik paketinin yerle\u015fik <a href=\"https:\/\/www.rdocumentation.org\/packages\/stats\/versions\/3.6.2\/topics\/step\" target=\"_blank\" rel=\"noopener noreferrer\">step()<\/a> i\u015flevini kullanaca\u011f\u0131z:<\/span><\/p>\n<p style=\"text-align: left;\"> <span style=\"color: #000000;\"><strong>a\u015fama (yaln\u0131zca durdurma modeli, y\u00f6n, menzil)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Yaln\u0131zca orijinal model<\/strong> : yaln\u0131zca orijinal modelin form\u00fcl\u00fc<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Y\u00f6n:<\/strong> Ad\u0131m arama modu \u201cher ikisi\u201d, \u201cgeri\u201d veya \u201cileri\u201d olabilir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>kapsam:<\/strong> modele dahil etmek istedi\u011fimiz tahmin edicileri belirten bir form\u00fcl<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Ad\u0131m ad\u0131m ileri se\u00e7im<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, bir se\u00e7imin ad\u0131m ad\u0131m nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define intercept-only model\n<\/span>intercept_only &lt;- lm(mpg ~ 1, data=mtcars)\n\n<span style=\"color: #008080;\">#define model with all predictors\n<\/span>all &lt;- lm(mpg ~ ., data=mtcars)\n\n<span style=\"color: #008080;\">#perform forward stepwise regression\n<\/span>forward &lt;- step(intercept_only, direction=' <span style=\"color: #008000;\">forward<\/span> ', scope= <span style=\"color: #3366ff;\">formula<\/span> (all), trace=0)\n\n<span style=\"color: #008080;\">#view results of forward stepwise regression<\/span>\nforward$anova\n\n   Step Df Deviance Resid. Df Resid. Dev AIC\n1 NA NA 31 1126.0472 115.94345\n2 + wt -1 847.72525 30 278.3219 73.21736\n3 + cyl -1 87.14997 29 191.1720 63.19800\n4 + hp -1 14.55145 28 176.6205 62.66456\n\n<span style=\"color: #008080;\">#view final model\n<\/span>forward$coefficients\n\n(Intercept) wt cyl hp \n 38.7517874 -3.1669731 -0.9416168 -0.0180381 \n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><em><strong>Not:<\/strong> trace=0 arg\u00fcman\u0131 R&#8217;ye ad\u0131m ad\u0131m se\u00e7imin tam sonu\u00e7lar\u0131n\u0131 g\u00f6r\u00fcnt\u00fclememesini s\u00f6yler. \u00c7ok say\u0131da \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fken varsa, bu \u00e7ok fazla yer kaplayabilir.<\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\">Sonu\u00e7lar\u0131 nas\u0131l yorumlayaca\u011f\u0131n\u0131z a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00d6ncelikle sadece kesi\u015fme modelini uyguluyoruz. Bu modelin AIC&#8217;si <strong>115.94345&#8217;ti<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Daha sonra olas\u0131 t\u00fcm modelleri bir tahminciye s\u0131\u011fd\u0131r\u0131r\u0131z. En d\u00fc\u015f\u00fck AIC&#8217;yi \u00fcreten ve yaln\u0131zca temel modele k\u0131yasla AIC&#8217;de istatistiksel olarak anlaml\u0131 bir azalmaya sahip olan model, <em>wt<\/em> tahmincisini kulland\u0131. Bu modelin AIC&#8217;si <strong>73.21736&#8217;yd\u0131<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Daha sonra, t\u00fcm olas\u0131 modelleri iki tahminciyle e\u015fle\u015ftiriyoruz. En d\u00fc\u015f\u00fck AIC&#8217;yi \u00fcreten ve ayr\u0131ca tek \u00f6ng\u00f6r\u00fcc\u00fc modele k\u0131yasla AIC&#8217;de istatistiksel olarak anlaml\u0131 bir azalmaya sahip olan model, <em>silindir<\/em> tahmincisini ekledi. Bu modelin AIC&#8217;si <strong>63.19800&#8217;d\u00fc<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Daha sonra, t\u00fcm olas\u0131 modelleri \u00fc\u00e7 tahminciye s\u0131\u011fd\u0131r\u0131yoruz. En d\u00fc\u015f\u00fck AIC&#8217;yi \u00fcreten ve ayn\u0131 zamanda iki tahminci modele k\u0131yasla AIC&#8217;de istatistiksel olarak anlaml\u0131 bir azalmaya sahip olan model, <em>hp<\/em> tahmincisini ekledi. Bu modelin AIC&#8217;si <strong>62.66456&#8217;yd\u0131<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Daha sonra, t\u00fcm olas\u0131 modelleri d\u00f6rt tahminciye s\u0131\u011fd\u0131r\u0131yoruz. Bu modellerden hi\u00e7birinin AIC&#8217;de \u00f6nemli bir azalma sa\u011flamad\u0131\u011f\u0131 ortaya \u00e7\u0131kt\u0131 ve bu nedenle prosed\u00fcr\u00fc durdurduk.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Nihai model \u015fu \u015fekilde ortaya \u00e7\u0131k\u0131yor:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>mpg ~ 38,75 \u2013 3,17*a\u011f\u0131rl\u0131k \u2013 0,94*sil \u2013 0,02*hip<\/strong><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Ad\u0131m ad\u0131m geriye do\u011fru se\u00e7im<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod nas\u0131l geri ad\u0131m at\u0131laca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define intercept-only model\n<\/span>intercept_only &lt;- lm(mpg ~ 1, data=mtcars)\n\n<span style=\"color: #008080;\">#define model with all predictors\n<\/span>all &lt;- lm(mpg ~ ., data=mtcars)\n\n<span style=\"color: #008080;\">#perform backward stepwise regression\n<\/span>backward &lt;- step(all, direction=' <span style=\"color: #008000;\">backward<\/span> ', scope= <span style=\"color: #3366ff;\">formula<\/span> (all), trace=0)\n\n<span style=\"color: #008080;\">#view results of backward stepwise regression<\/span>\nbackward$anova\n\n    Step Df Deviance Resid. Df Resid. Dev AIC\n1 NA NA 21 147.4944 70.89774\n2 - cyl 1 0.07987121 22 147.5743 68.91507\n3 - vs 1 0.26852280 23 147.8428 66.97324\n4 - carb 1 0.68546077 24 148.5283 65.12126\n5 - gear 1 1.56497053 25 150.0933 63.45667\n6 - drat 1 3.34455117 26 153.4378 62.16190\n7 - available 1 6.62865369 27 160.0665 61.51530\n8 - hp 1 9.21946935 28 169.2859 61.30730\n\n<span style=\"color: #008080;\">#view final model\n<\/span>backward$coefficients\n\n(Intercept) wt qsec am \n   9.617781 -3.916504 1.225886 2.935837\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Sonu\u00e7lar\u0131 nas\u0131l yorumlayaca\u011f\u0131n\u0131z a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00d6ncelikle t\u00fcm <em>p<\/em> tahminlerini kullanarak bir model uyduruyoruz. Bunu M <sub>p<\/sub> olarak tan\u0131mlay\u0131n.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Daha sonra, k = p, p-1,\u20261 i\u00e7in, toplam k-1 yorday\u0131c\u0131 de\u011fi\u015fken i\u00e7in M <sub>k&#8217;de<\/sub> biri hari\u00e7 t\u00fcm yorday\u0131c\u0131lar\u0131 i\u00e7eren t\u00fcm k modellerini s\u0131\u011fd\u0131r\u0131r\u0131z. O zaman bu k modelleri aras\u0131ndan en iyisini se\u00e7in ve ona M <sub>k-1<\/sub> ad\u0131n\u0131 verin.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Son olarak AIC kullanarak M <sub>0<\/sub> \u2026 M <sub>p<\/sub> aras\u0131ndan en iyi modeli se\u00e7iyoruz.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Nihai model \u015fu \u015fekilde ortaya \u00e7\u0131k\u0131yor:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>mpg ~ 9,62 \u2013 3,92*a\u011f\u0131rl\u0131k + 1,23*qsaniye + 2,94*am<\/strong><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 3: Her iki y\u00f6nde ad\u0131m ad\u0131m se\u00e7im<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, her iki y\u00f6nde de ad\u0131m ad\u0131m se\u00e7imin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define intercept-only model\n<\/span>intercept_only &lt;- lm(mpg ~ 1, data=mtcars)\n\n<span style=\"color: #008080;\">#define model with all predictors\n<\/span>all &lt;- lm(mpg ~ ., data=mtcars)\n\n<span style=\"color: #008080;\">#perform backward stepwise regression\n<\/span>both &lt;- step(intercept_only, direction=' <span style=\"color: #008000;\">both<\/span> ', scope= <span style=\"color: #3366ff;\">formula<\/span> (all), trace=0)\n\n<span style=\"color: #008080;\">#view results of backward stepwise regression<\/span>\nboth$anova\n\n   Step Df Deviance Resid. Df Resid. Dev AIC\n1 NA NA 31 1126.0472 115.94345\n2 + wt -1 847.72525 30 278.3219 73.21736\n3 + cyl -1 87.14997 29 191.1720 63.19800\n4 + hp -1 14.55145 28 176.6205 62.66456\n\n<span style=\"color: #008080;\">#view final model\n<\/span>both$coefficients\n\n(Intercept) wt cyl hp \n 38.7517874 -3.1669731 -0.9416168 -0.0180381 \n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Sonu\u00e7lar\u0131 nas\u0131l yorumlayaca\u011f\u0131n\u0131z a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00d6ncelikle sadece kesi\u015fme modelini uyguluyoruz.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Daha sonra, ad\u0131m ad\u0131m se\u00e7imde yapt\u0131\u011f\u0131m\u0131z gibi tahmin edicileri modele s\u0131rayla ekledik. Ancak her \u00f6ng\u00f6r\u00fcc\u00fcy\u00fc ekledikten sonra, model uyumunda art\u0131k iyile\u015fme sa\u011flamayan yorday\u0131c\u0131lar\u0131 da kald\u0131rd\u0131k.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Son modeli elde edene kadar bu i\u015flemi tekrarlad\u0131k.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Nihai model \u015fu \u015fekilde ortaya \u00e7\u0131k\u0131yor:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>mpg ~ 9,62 \u2013 3,92*a\u011f\u0131rl\u0131k + 1,23*qsaniye + 2,94*am<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130leri ad\u0131m se\u00e7imi ve her iki y\u00f6ndeki ad\u0131m se\u00e7iminin ayn\u0131 son modeli \u00fcretti\u011fini, geri ad\u0131m se\u00e7iminin ise farkl\u0131 bir model \u00fcretti\u011fini unutmay\u0131n.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> Regresyon E\u011fiminin \u00d6nemi Nas\u0131l Test Edilir?<br \/> Regresyon Tablosu Nas\u0131l Okunmal\u0131 ve Yorumlanmal\u0131<br \/> Regresyonda \u00c7oklu Do\u011frusall\u0131k Rehberi<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ad\u0131m ad\u0131m regresyon, tahmin edicileri modele ad\u0131m ad\u0131m girerek ve \u00e7\u0131kararak bir dizi tahmin de\u011fi\u015fkeninden bir regresyon modeli olu\u015fturmak i\u00e7in kullanabilece\u011fimiz bir prosed\u00fcrd\u00fcr. daha fazlas\u0131n\u0131 sil. Ad\u0131m ad\u0131m regresyonun amac\u0131 , yan\u0131t de\u011fi\u015fkeniyle istatistiksel olarak anlaml\u0131 d\u00fczeyde ili\u015fkili olan t\u00fcm yorday\u0131c\u0131 de\u011fi\u015fkenleri i\u00e7eren bir regresyon modeli olu\u015fturmakt\u0131r. Bu e\u011fitimde R&#8217;de a\u015fa\u011f\u0131daki ad\u0131m ad\u0131m regresyon prosed\u00fcrlerinin [&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-492","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 Ad\u0131m Ad\u0131m Regresyon \u0130\u00e7in Tam Bir K\u0131lavuz<\/title>\n<meta name=\"description\" content=\"Birka\u00e7 \u00f6rnek de dahil olmak \u00fczere, R&#039;de ad\u0131m ad\u0131m regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin eksiksiz bir k\u0131lavuz.\" \/>\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\/adim-adim-regresyon-r\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R - Statorialsde Ad\u0131m Ad\u0131m Regresyon \u0130\u00e7in Tam Bir K\u0131lavuz\" \/>\n<meta property=\"og:description\" content=\"Birka\u00e7 \u00f6rnek de dahil olmak \u00fczere, R&#039;de ad\u0131m ad\u0131m regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin eksiksiz bir k\u0131lavuz.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/adim-adim-regresyon-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T17:48:18+00:00\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/adim-adim-regresyon-r\/\",\"url\":\"https:\/\/statorials.org\/tr\/adim-adim-regresyon-r\/\",\"name\":\"R - Statorialsde Ad\u0131m Ad\u0131m Regresyon \u0130\u00e7in Tam Bir K\u0131lavuz\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-29T17:48:18+00:00\",\"dateModified\":\"2023-07-29T17:48:18+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Birka\u00e7 \u00f6rnek de dahil olmak \u00fczere, R&#39;de ad\u0131m ad\u0131m regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin eksiksiz bir k\u0131lavuz.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/adim-adim-regresyon-r\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/adim-adim-regresyon-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/adim-adim-regresyon-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"R&#39;de ad\u0131m ad\u0131m regresyon i\u0307\u00e7in tam bir k\u0131lavuz\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. 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