{"id":1205,"date":"2023-07-27T07:23:11","date_gmt":"2023-07-27T07:23:11","guid":{"rendered":"https:\/\/statorials.org\/tr\/rde-temel-bilesenler-regresyonu\/"},"modified":"2023-07-27T07:23:11","modified_gmt":"2023-07-27T07:23:11","slug":"rde-temel-bilesenler-regresyonu","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rde-temel-bilesenler-regresyonu\/","title":{"rendered":"R&#39;de temel bile\u015fen regresyon (ad\u0131m ad\u0131m)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Bir dizi <em>p<\/em> tahmin de\u011fi\u015fkeni ve bir yan\u0131t de\u011fi\u015fkeni verildi\u011finde, <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u00e7oklu do\u011frusal regresyon<\/a> , kalan kareler toplam\u0131n\u0131 (RSS) en aza indirmek i\u00e7in en k\u00fc\u00e7\u00fck kareler olarak bilinen bir y\u00f6ntemi kullan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>RSS = \u03a3(y <sub>ben<\/sub> \u2013 \u0177 <sub>ben<\/sub> ) <sup>2<\/sup><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03a3<\/strong> : <em>Toplam<\/em> anlam\u0131na gelen bir Yunan sembol\u00fc<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>y <sub>i<\/sub><\/strong> : <sup>i&#8217;inci<\/sup> g\u00f6zlem i\u00e7in ger\u00e7ek yan\u0131t de\u011feri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u0177 <sub>i<\/sub><\/strong> : \u00c7oklu do\u011frusal regresyon modeline dayal\u0131 olarak tahmin edilen yan\u0131t de\u011feri<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ancak yorday\u0131c\u0131 de\u011fi\u015fkenler y\u00fcksek d\u00fczeyde korelasyona sahip oldu\u011funda<\/span> <a href=\"https:\/\/statorials.org\/tr\/coklu-baglanti-regresyonu\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u00e7oklu do\u011frusall\u0131k<\/a> <span style=\"color: #000000;\">bir sorun haline gelebilir. Bu, model katsay\u0131 tahminlerini g\u00fcvenilmez hale getirebilir ve y\u00fcksek varyans sergileyebilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu sorunu \u00f6nlemenin bir yolu, orijinal <em>p<\/em> tahmincilerinin <em>M<\/em> <a href=\"https:\/\/statorials.org\/tr\/temel-bilesenler-regresyonu\/\" target=\"_blank\" rel=\"noopener noreferrer\">do\u011frusal kombinasyonunu (&#8220;temel bile\u015fenler&#8221; olarak adland\u0131r\u0131l\u0131r) bulan ve ard\u0131ndan temel bile\u015fenleri tahminci olarak kullanan do\u011frusal bir regresyon modeline uymak i\u00e7in en k\u00fc\u00e7\u00fck kareleri kullanan temel bile\u015fenler regresyonunu<\/a> kullanmakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde, R&#8217;de temel bile\u015fenler regresyonunun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin ad\u0131m ad\u0131m bir \u00f6rnek sa\u011flanmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Gerekli paketleri y\u00fckleyin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">R&#8217;de temel bile\u015fenler regresyonunu ger\u00e7ekle\u015ftirmenin en kolay yolu <a href=\"https:\/\/cran.r-project.org\/web\/packages\/pls\/pls.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">pls<\/a> paketindeki i\u015flevleri kullanmakt\u0131r.<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#install pls package (if not already installed)<\/span>\ninstall.packages(\" <span style=\"color: #008000;\">pls<\/span> \")\n\n<span style=\"color: #008080;\">load pls package\n<\/span>library(pls)\n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: PCR modelini ayarlay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnek i\u00e7in, farkl\u0131 araba t\u00fcrlerine ili\u015fkin verileri i\u00e7eren <strong>mtcars<\/strong> ad\u0131 verilen yerle\u015fik R veri k\u00fcmesini kullanaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#view first six rows of mtcars dataset<\/span>\nhead(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;\">Bu \u00f6rnek i\u00e7in, <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener noreferrer\">yan\u0131t de\u011fi\u015fkeni<\/a> olarak <em>hp&#8217;yi<\/em> ve tahmin de\u011fi\u015fkenleri olarak a\u015fa\u011f\u0131daki de\u011fi\u015fkenleri kullanarak bir temel bile\u015fenler regresyon (PCR) modelini uygulayaca\u011f\u0131z:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">mpg<\/span><\/li>\n<li> <span style=\"color: #000000;\">g\u00f6r\u00fcnt\u00fclemek<\/span><\/li>\n<li> <span style=\"color: #000000;\">bok<\/span><\/li>\n<li> <span style=\"color: #000000;\">a\u011f\u0131rl\u0131k<\/span><\/li>\n<li> <span style=\"color: #000000;\">qsec<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod PCR modelinin bu verilere nas\u0131l s\u0131\u011fd\u0131r\u0131laca\u011f\u0131n\u0131 g\u00f6sterir. A\u015fa\u011f\u0131daki arg\u00fcmanlara dikkat edin:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u00f6l\u00e7ek=DO\u011eRU<\/strong> : Bu, R&#8217;ye yorday\u0131c\u0131 de\u011fi\u015fkenlerin her birinin ortalamas\u0131 0 ve standart sapmas\u0131 1 olacak \u015fekilde \u00f6l\u00e7eklendirilmesi gerekti\u011fini s\u00f6yler. Bu, farkl\u0131 birimlerle \u00f6l\u00e7\u00fcld\u00fc\u011f\u00fcnde hi\u00e7bir yorday\u0131c\u0131 de\u011fi\u015fkenin modelde \u00e7ok fazla etkiye sahip olmamas\u0131n\u0131 sa\u011flar. .<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>validation=\u201dCV\u201d<\/strong> : Bu, R&#8217;ye model performans\u0131n\u0131 de\u011ferlendirmek i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/k-kat-capraz-dogrulama\/\" target=\"_blank\" rel=\"noopener noreferrer\">k-katl\u0131 \u00e7apraz do\u011frulama<\/a> kullanmas\u0131n\u0131 s\u00f6yler. Bunun varsay\u0131lan olarak k=10 kat kulland\u0131\u011f\u0131n\u0131 unutmay\u0131n. Ayr\u0131ca <a href=\"https:\/\/statorials.org\/tr\/tek-bir-capraz-dogrulama-birakin\/\" target=\"_blank\" rel=\"noopener noreferrer\">Birini D\u0131\u015far\u0131da B\u0131rakma \u00e7apraz do\u011frulamas\u0131<\/a> ger\u00e7ekle\u015ftirmek yerine &#8220;LOOCV&#8221;yi belirtebilece\u011finizi de unutmay\u0131n.<\/span><\/li>\n<\/ul>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible\n<\/span>set.seed(1)\n\n<span style=\"color: #008080;\">#fit PCR model\n<\/span>model &lt;- pcr(hp~mpg+disp+drat+wt+qsec, data=mtcars, scale= <span style=\"color: #008000;\">TRUE<\/span> , validation=\" <span style=\"color: #008000;\">CV<\/span> \")<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>3. Ad\u0131m: Ana bile\u015fenlerin say\u0131s\u0131n\u0131 se\u00e7in<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Modeli ayarlad\u0131ktan sonra, ka\u00e7 temel bile\u015fenin korunmaya de\u011fer oldu\u011funu belirlememiz gerekiyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu yapmak i\u00e7in k-\u00e7apraz do\u011frulamayla hesaplanan test k\u00f6k ortalama kare hatas\u0131na (test RMSE) bakman\u0131z yeterlidir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#view summary of model fitting\n<\/span>summary(model)\n\nData: \n\tY dimension: 32 1\nFit method: svdpc\nNumber of components considered: 5\n\nVALIDATION: RMSEP\nCross-validated using 10 random segments.\n       (Intercept) 1 comp 2 comps 3 comps 4 comps 5 comps\nCV 69.66 44.56 35.64 35.83 36.23 36.67\nadjCV 69.66 44.44 35.27 35.43 35.80 36.20\n\nTRAINING: % variance explained\n    1 comp 2 comps 3 comps 4 comps 5 comps\nX 69.83 89.35 95.88 98.96 100.00\nhp 62.38 81.31 81.96 81.98 82.03\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Sonu\u00e7ta iki ilgin\u00e7 tablo var:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. DO\u011eRULAMA: RMSEP<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu tablo bize k-katl\u0131 \u00e7apraz do\u011frulamayla hesaplanan RMSE testini anlat\u0131r. A\u015fa\u011f\u0131dakileri g\u00f6rebiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Modelde sadece orijinal terimi kullan\u0131rsak testin RMSE&#8217;si <strong>69,66<\/strong> olur.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130lk temel bile\u015feni de eklersek RMSE testi <strong>44,56&#8217;ya d\u00fc\u015f\u00fcyor.<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130kinci temel bile\u015feni de eklersek RMSE testi <strong>35,64&#8217;e d\u00fc\u015f\u00fcyor.<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ek temel bile\u015fenlerin eklenmesinin asl\u0131nda testin RMSE&#8217;sinde bir art\u0131\u015fa yol a\u00e7t\u0131\u011f\u0131n\u0131 g\u00f6rebiliriz. Bu nedenle nihai modelde yaln\u0131zca iki temel bile\u015fenin kullan\u0131lmas\u0131n\u0131n optimal olaca\u011f\u0131 g\u00f6r\u00fclmektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. E\u011e\u0130T\u0130M: a\u00e7\u0131klanan varyans y\u00fczdesi<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu tablo bize temel bile\u015fenler taraf\u0131ndan a\u00e7\u0131klanan yan\u0131t de\u011fi\u015fkenindeki varyans\u0131n y\u00fczdesini g\u00f6sterir. A\u015fa\u011f\u0131dakileri g\u00f6rebiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Yaln\u0131zca ilk temel bile\u015feni kullanarak yan\u0131t de\u011fi\u015fkenindeki varyasyonun <strong>%69,83&#8217;\u00fcn\u00fc<\/strong> a\u00e7\u0131klayabiliriz.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130kinci temel bile\u015feni ekleyerek yan\u0131t de\u011fi\u015fkenindeki varyasyonun <strong>%89,35&#8217;ini<\/strong> a\u00e7\u0131klayabiliriz.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Daha fazla temel bile\u015fen kullanarak hala daha fazla varyans\u0131 a\u00e7\u0131klayabilece\u011fimizi unutmay\u0131n, ancak ikiden fazla temel bile\u015fen eklemenin asl\u0131nda a\u00e7\u0131klanan varyans y\u00fczdesini \u00e7ok fazla art\u0131rmad\u0131\u011f\u0131n\u0131 g\u00f6rebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Validationplot()<\/strong> i\u015flevini kullanarak RMSE testini (MSE ve R-kare testiyle birlikte) ana bile\u015fenlerin say\u0131s\u0131n\u0131n bir fonksiyonu olarak da g\u00f6rselle\u015ftirebiliriz.<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#visualize cross-validation plots\n<\/span>validationplot(model)\nvalidationplot(model, val.type=\"MSEP\")\nvalidationplot(model, val.type=\"R2\")<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11943 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pcr1.png\" alt=\"R'de temel bile\u015fen regresyonu\" width=\"403\" height=\"398\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11944 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pcr2.png\" alt=\"R'deki temel bile\u015fenler regresyon \u00e7apraz do\u011frulama grafi\u011fi\" width=\"403\" height=\"386\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11945 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pcr3.png\" alt=\"R'de R-kare temel bile\u015fen regresyonu\" width=\"401\" height=\"394\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Her grafikte, model uyumunun iki temel bile\u015fen eklendi\u011finde artt\u0131\u011f\u0131n\u0131 ancak daha fazla temel bile\u015fen ekledi\u011fimizde bozulma e\u011filiminde oldu\u011funu g\u00f6rebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu nedenle optimal model yaln\u0131zca ilk iki temel bile\u015feni i\u00e7erir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 4: Tahminlerde bulunmak i\u00e7in son modeli kullan\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Yeni g\u00f6zlemler hakk\u0131nda tahminlerde bulunmak i\u00e7in son iki temel bile\u015fenli PCR modelini kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, orijinal veri k\u00fcmesinin bir e\u011fitim ve test k\u00fcmesine nas\u0131l b\u00f6l\u00fcnece\u011fini ve test k\u00fcmesi \u00fczerinde tahminler yapmak i\u00e7in PCR modelinin iki temel bile\u015fenle nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define training and testing sets\n<\/span>train &lt;- mtcars[1:25, c(\"hp\", \"mpg\", \"disp\", \"drat\", \"wt\", \"qsec\")]\ny_test &lt;- mtcars[26: <span style=\"color: #3366ff;\">nrow<\/span> (mtcars), c(\"hp\")]\ntest &lt;- mtcars[26: <span style=\"color: #3366ff;\">nrow<\/span> (mtcars), c(\"mpg\", \"disp\", \"drat\", \"wt\", \"qsec\")]\n    \n<span style=\"color: #008080;\">#use model to make predictions on a test set\n<\/span>model &lt;- pcr(hp~mpg+disp+drat+wt+qsec, data=train, scale= <span style=\"color: #008000;\">TRUE<\/span> , validation=\" <span style=\"color: #008000;\">CV<\/span> \")\npcr_pred &lt;- predict(model, test, ncomp= <span style=\"color: #008000;\">2<\/span> )\n\n<span style=\"color: #008080;\">#calculate RMSE\n<\/span><span style=\"color: #3366ff;\">sqrt<\/span> ( <span style=\"color: #3366ff;\">mean<\/span> ((pcr_pred - y_test)^2))\n\n[1] 56.86549\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Testin RMSE&#8217;sinin <strong>56,86549<\/strong> oldu\u011funu g\u00f6r\u00fcyoruz. Bu, test seti g\u00f6zlemleri i\u00e7in tahmin edilen <em>hp<\/em> de\u011feri ile g\u00f6zlenen <em>hp<\/em> de\u011feri aras\u0131ndaki ortalama sapmad\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnekteki R kodunun tam kullan\u0131m\u0131n\u0131 <a href=\"https:\/\/github.com\/Statorials\/R-Guides\/blob\/main\/principal_components_regression.R\" target=\"_blank\" rel=\"noopener noreferrer\">burada<\/a> bulabilirsiniz.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bir dizi p tahmin de\u011fi\u015fkeni ve bir yan\u0131t de\u011fi\u015fkeni verildi\u011finde, \u00e7oklu do\u011frusal regresyon , kalan kareler toplam\u0131n\u0131 (RSS) en aza indirmek i\u00e7in en k\u00fc\u00e7\u00fck kareler olarak bilinen bir y\u00f6ntemi kullan\u0131r: RSS = \u03a3(y ben \u2013 \u0177 ben ) 2 Alt\u0131n: \u03a3 : Toplam anlam\u0131na gelen bir Yunan sembol\u00fc y i : i&#8217;inci g\u00f6zlem i\u00e7in ger\u00e7ek [&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-1205","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&#039;de Temel Bile\u015fen Regresyon (Ad\u0131m Ad\u0131m)<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, ad\u0131m ad\u0131m bir \u00f6rnek de dahil olmak \u00fczere R&#039;de temel bile\u015fenler regresyonunun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi 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\/rde-temel-bilesenler-regresyonu\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R&#039;de Temel Bile\u015fen Regresyon (Ad\u0131m Ad\u0131m)\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde, ad\u0131m ad\u0131m bir \u00f6rnek de dahil olmak \u00fczere R&#039;de temel bile\u015fenler regresyonunun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/rde-temel-bilesenler-regresyonu\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T07:23:11+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pcr1.png\" \/>\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\/rde-temel-bilesenler-regresyonu\/\",\"url\":\"https:\/\/statorials.org\/tr\/rde-temel-bilesenler-regresyonu\/\",\"name\":\"R&#39;de Temel Bile\u015fen Regresyon (Ad\u0131m Ad\u0131m)\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-27T07:23:11+00:00\",\"dateModified\":\"2023-07-27T07:23:11+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde, ad\u0131m ad\u0131m bir \u00f6rnek de dahil olmak \u00fczere R&#39;de temel bile\u015fenler regresyonunun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/rde-temel-bilesenler-regresyonu\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/rde-temel-bilesenler-regresyonu\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/rde-temel-bilesenler-regresyonu\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"R&#39;de temel bile\u015fen regresyon (ad\u0131m ad\u0131m)\"}]},{\"@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. Daha fazlas\u0131n\u0131 bil\",\"sameAs\":[\"https:\/\/statorials.org\/tr\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"R&#39;de Temel Bile\u015fen Regresyon (Ad\u0131m Ad\u0131m)","description":"Bu e\u011fitimde, ad\u0131m ad\u0131m bir \u00f6rnek de dahil olmak \u00fczere R&#39;de temel bile\u015fenler regresyonunun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/tr\/rde-temel-bilesenler-regresyonu\/","og_locale":"tr_TR","og_type":"article","og_title":"R&#39;de Temel Bile\u015fen Regresyon (Ad\u0131m Ad\u0131m)","og_description":"Bu e\u011fitimde, ad\u0131m ad\u0131m bir \u00f6rnek de dahil olmak \u00fczere R&#39;de temel bile\u015fenler regresyonunun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.","og_url":"https:\/\/statorials.org\/tr\/rde-temel-bilesenler-regresyonu\/","og_site_name":"Statorials","article_published_time":"2023-07-27T07:23:11+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pcr1.png"}],"author":"Dr.benjamin anderson","twitter_card":"summary_large_image","twitter_misc":{"Yazan:":"Dr.benjamin anderson","Tahmini okuma s\u00fcresi":"5 dakika"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/tr\/rde-temel-bilesenler-regresyonu\/","url":"https:\/\/statorials.org\/tr\/rde-temel-bilesenler-regresyonu\/","name":"R&#39;de Temel Bile\u015fen Regresyon (Ad\u0131m Ad\u0131m)","isPartOf":{"@id":"https:\/\/statorials.org\/tr\/#website"},"datePublished":"2023-07-27T07:23:11+00:00","dateModified":"2023-07-27T07:23:11+00:00","author":{"@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48"},"description":"Bu e\u011fitimde, ad\u0131m ad\u0131m bir \u00f6rnek de dahil olmak \u00fczere R&#39;de temel bile\u015fenler regresyonunun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.","breadcrumb":{"@id":"https:\/\/statorials.org\/tr\/rde-temel-bilesenler-regresyonu\/#breadcrumb"},"inLanguage":"tr","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/tr\/rde-temel-bilesenler-regresyonu\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/tr\/rde-temel-bilesenler-regresyonu\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Ev","item":"https:\/\/statorials.org\/tr\/"},{"@type":"ListItem","position":2,"name":"R&#39;de temel bile\u015fen regresyon (ad\u0131m ad\u0131m)"}]},{"@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. Daha fazlas\u0131n\u0131 bil","sameAs":["https:\/\/statorials.org\/tr"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/1205","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/comments?post=1205"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/1205\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/media?parent=1205"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/categories?post=1205"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/tags?post=1205"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}