{"id":1894,"date":"2023-07-24T13:45:54","date_gmt":"2023-07-24T13:45:54","guid":{"rendered":"https:\/\/statorials.org\/tr\/r-kareyi-elle-hesapla\/"},"modified":"2023-07-24T13:45:54","modified_gmt":"2023-07-24T13:45:54","slug":"r-kareyi-elle-hesapla","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/r-kareyi-elle-hesapla\/","title":{"rendered":"R-kare elle nas\u0131l hesaplan\u0131r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistikte <strong>R kare<\/strong> ( <sup>R2<\/sup> ), bir regresyon modelinde yorday\u0131c\u0131 de\u011fi\u015fken taraf\u0131ndan a\u00e7\u0131klanabilen <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener\">yan\u0131t de\u011fi\u015fkenindeki<\/a> varyans\u0131n oran\u0131n\u0131 \u00f6l\u00e7er.<\/span><\/p>\n<p> <span style=\"color: #000000;\">R kareyi hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullan\u0131r\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\">R <sup>2<\/sup> = [ (n\u03a3xy \u2013 (\u03a3x)(\u03a3y)) \/ (\u221a <span style=\"border-top: 1px solid black;\">n\u03a3x <sup>2<\/sup> -(\u03a3x) <sup>2<\/sup><\/span> * \u221a <span style=\"border-top: 1px solid black;\">n\u03a3y <sup>2<\/sup> -(\u03a3y) <sup>2<\/sup><\/span> ) ] <sup>2<\/sup><\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki ad\u0131m ad\u0131m \u00f6rnek, belirli bir regresyon modeli i\u00e7in R-karenin manuel olarak nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>1. Ad\u0131m: Veri k\u00fcmesi olu\u015fturun<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00d6ncelikle bir veri seti olu\u015ftural\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-18120 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/r2hand1.png\" alt=\"\" width=\"163\" height=\"289\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>2. Ad\u0131m: Gerekli \u00f6l\u00e7\u00fcmleri hesaplay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra <sup>R2<\/sup> form\u00fcl\u00fcnde kullanmam\u0131z gereken her bir metri\u011fi hesaplayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-18121 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/r2hand2.png\" alt=\"\" width=\"440\" height=\"300\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: R Kareyi Hesaplay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Son olarak, her bir metri\u011fi <sup>R2<\/sup> form\u00fcl\u00fcne entegre edece\u011fiz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">R <sup>2<\/sup> = [ (n\u03a3xy \u2013 (\u03a3x)(\u03a3y)) \/ (\u221a <span style=\"border-top: 1px solid black;\">n\u03a3x <sup>2<\/sup> -(\u03a3x) <sup>2<\/sup><\/span> * \u221a <span style=\"border-top: 1px solid black;\">n\u03a3y <sup>2<\/sup> -(\u03a3y) <sup>2<\/sup><\/span> ) ] <sup>2<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\">R <sup>2<\/sup> = [ (8*(2169) \u2013 (72)(223)) \/ (\u221a <span style=\"border-top: 1px solid black;\">8*(818)-(72) <sup>2<\/sup><\/span> * \u221a <span style=\"border-top: 1px solid black;\">8*(6447)-(223) <sup>2<\/sup><\/span> ) ] <sup>2<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\"><sup>R2<\/sup> = 0,6686<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Not:<\/strong> Form\u00fcldeki <em>n,<\/em> veri k\u00fcmesindeki g\u00f6zlem say\u0131s\u0131n\u0131 temsil eder ve bu \u00f6rnekte n = 8 g\u00f6zlem oldu\u011fu ortaya \u00e7\u0131kar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu regresyon modelinde <em>x&#8217;in<\/em> yorday\u0131c\u0131 de\u011fi\u015fken ve <em>y&#8217;nin<\/em> yan\u0131t de\u011fi\u015fkeni oldu\u011funu varsayarsak, modelin R-kare de\u011feri <strong>0,6686<\/strong> olur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu bize <em>y<\/em> de\u011fi\u015fkenindeki varyasyonun %66,86&#8217;s\u0131n\u0131n <em>x<\/em> de\u011fi\u015fkeni taraf\u0131ndan a\u00e7\u0131klanabilece\u011fini s\u00f6yl\u00fcyor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/\" target=\"_blank\" rel=\"noopener\">Basit Do\u011frusal Regresyona Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener\">\u00c7oklu Do\u011frusal Regresyona Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/r-vs-r-kare\/\" target=\"_blank\" rel=\"noopener\">R vs R-Square: fark nedir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/iyi-r-kare-degeri\/\" target=\"_blank\" rel=\"noopener\">\u0130yi bir R-kare de\u011feri nedir?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistikte R kare ( R2 ), bir regresyon modelinde yorday\u0131c\u0131 de\u011fi\u015fken taraf\u0131ndan a\u00e7\u0131klanabilen yan\u0131t de\u011fi\u015fkenindeki varyans\u0131n oran\u0131n\u0131 \u00f6l\u00e7er. R kareyi hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullan\u0131r\u0131z: R 2 = [ (n\u03a3xy \u2013 (\u03a3x)(\u03a3y)) \/ (\u221a n\u03a3x 2 -(\u03a3x) 2 * \u221a n\u03a3y 2 -(\u03a3y) 2 ) ] 2 A\u015fa\u011f\u0131daki ad\u0131m ad\u0131m \u00f6rnek, belirli bir regresyon modeli [&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-1894","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-kare elle nas\u0131l hesaplan\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, ad\u0131m ad\u0131m bir \u00f6rnek de dahil olmak \u00fczere bir regresyon modeli i\u00e7in r-karenin manuel olarak nas\u0131l hesaplanaca\u011f\u0131 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-kareyi-elle-hesapla\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R-kare elle nas\u0131l hesaplan\u0131r - 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