{"id":2976,"date":"2023-07-19T19:57:01","date_gmt":"2023-07-19T19:57:01","guid":{"rendered":"https:\/\/statorials.org\/tr\/duzeltilmis-r-kare-yorumu\/"},"modified":"2023-07-19T19:57:01","modified_gmt":"2023-07-19T19:57:01","slug":"duzeltilmis-r-kare-yorumu","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/duzeltilmis-r-kare-yorumu\/","title":{"rendered":"D\u00fczeltilmi\u015f r-kare nas\u0131l yorumlan\u0131r (\u00f6rneklerle)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener\">Do\u011frusal regresyon modellerini<\/a> yerle\u015ftirirken s\u0131kl\u0131kla modelin <strong>R-kare<\/strong> de\u011ferini hesaplar\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">R-kare de\u011feri, <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener noreferrer\">yan\u0131t<\/a> de\u011fi\u015fkenindeki varyans\u0131n, modeldeki yorday\u0131c\u0131 de\u011fi\u015fkenler taraf\u0131ndan a\u00e7\u0131klanabilen oran\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">R karenin de\u011feri 0 ila 1 aras\u0131nda de\u011fi\u015febilir; burada:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>0<\/strong> de\u011feri, yan\u0131t de\u011fi\u015fkeninin yorday\u0131c\u0131 de\u011fi\u015fkenler taraf\u0131ndan hi\u00e7bir \u015fekilde a\u00e7\u0131klanamayaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>1<\/strong> de\u011feri, yan\u0131t de\u011fi\u015fkeninin yorday\u0131c\u0131 de\u011fi\u015fkenler taraf\u0131ndan m\u00fckemmel bir \u015fekilde a\u00e7\u0131klanabildi\u011fini g\u00f6sterir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu metrik, bir regresyon modelinin bir veri k\u00fcmesine ne kadar iyi uydu\u011funu de\u011ferlendirmek i\u00e7in yayg\u0131n olarak kullan\u0131lsa da ciddi bir dezavantaj\u0131 vard\u0131r:<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>R-karenin dezavantaj\u0131:<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Regresyon modeline yeni bir yorday\u0131c\u0131 de\u011fi\u015fken eklendi\u011finde R-kare her zaman artacakt\u0131r.<\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">Yeni bir yorday\u0131c\u0131 de\u011fi\u015fkenin yan\u0131t de\u011fi\u015fkeniyle neredeyse hi\u00e7 ili\u015fkisi olmasa bile, modelin R-kare de\u011feri k\u00fc\u00e7\u00fck bir miktar da olsa artacakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu nedenle \u00e7ok say\u0131da yorday\u0131c\u0131 de\u011fi\u015fkene sahip bir regresyon modelinin, model verilere tam olarak uymasa bile y\u00fcksek bir R-kare de\u011ferine sahip olmas\u0131 m\u00fcmk\u00fcnd\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Neyse ki, R-squared&#8217;in <strong>d\u00fczeltilmi\u015f R-squared<\/strong> ad\u0131 verilen bir alternatifi var.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>D\u00fczeltilmi\u015f R-kare,<\/strong> bir regresyon modelindeki \u00f6ng\u00f6r\u00fcc\u00fclerin say\u0131s\u0131n\u0131 ayarlayan, R-karenin de\u011fi\u015ftirilmi\u015f bir versiyonudur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>D\u00fczeltilmi\u015f R <sup>2<\/sup> = 1 \u2013 [(1-R <sup>2<\/sup> )*(n-1)\/(nk-1)]<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>R <sup>2<\/sup><\/strong> : Modelin R <sup>2&#8217;si<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n<\/strong> : G\u00f6zlem say\u0131s\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>k<\/strong> : Tahmin de\u011fi\u015fkenlerinin say\u0131s\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bir modele \u00f6ng\u00f6r\u00fcc\u00fcler ekledik\u00e7e R-kare her zaman artt\u0131\u011f\u0131ndan, d\u00fczeltilmi\u015f R-kare <em>, bir modeldeki \u00f6ng\u00f6r\u00fcc\u00fclerin say\u0131s\u0131na g\u00f6re ayarland\u0131\u011f\u0131nda<\/em> , bir modelin ne kadar kullan\u0131\u015fl\u0131 oldu\u011funu size s\u00f6yleyebilir.<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>D\u00fczeltilmi\u015f R-karenin avantaj\u0131:<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">D\u00fczeltilmi\u015f R-kare bize, bir dizi yorday\u0131c\u0131 de\u011fi\u015fkenin, <em>bir modeldeki yorday\u0131c\u0131lar\u0131n say\u0131s\u0131na g\u00f6re ayarlanan<\/em> yan\u0131t de\u011fi\u015fkenindeki de\u011fi\u015fimi ne kadar iyi a\u00e7\u0131klayabildi\u011fini s\u00f6yler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Hesaplanma \u015fekli nedeniyle d\u00fczeltilmi\u015f R-kare, regresyon modellerinin uyumunu farkl\u0131 say\u0131da \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkenle kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in kullan\u0131labilir.<\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">D\u00fczeltilmi\u015f R-kareyi daha iyi anlamak i\u00e7in a\u015fa\u011f\u0131daki \u00f6rne\u011fe bak\u0131n.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Regresyon Modellerinde D\u00fczeltilmi\u015f R-kareyi Anlamak<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir profes\u00f6r\u00fcn s\u0131n\u0131f\u0131ndaki \u00f6\u011frenciler hakk\u0131nda veri toplad\u0131\u011f\u0131n\u0131 ve ders \u00e7al\u0131\u015fmak i\u00e7in harcanan saatlerin ve s\u0131n\u0131ftaki mevcut notun \u00f6\u011frencinin final s\u0131nav\u0131nda ald\u0131\u011f\u0131 notu nas\u0131l etkiledi\u011fini anlamak i\u00e7in a\u015fa\u011f\u0131daki regresyon modeline uydu\u011funu varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">S\u0131nav puan\u0131 = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> (harcanan ders saati) + \u03b2 <sub>2<\/sub> (mevcut not)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu regresyon modelinin a\u015fa\u011f\u0131daki \u00f6l\u00e7\u00fcmlere sahip oldu\u011funu varsayal\u0131m:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">R kare: <strong>0,955<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">D\u00fczeltilmi\u015f R-kare: <strong>0,946<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u015eimdi \u00f6\u011fretmenin her \u00f6\u011frenci i\u00e7in ba\u015fka bir de\u011fi\u015fkene ili\u015fkin veri toplamaya karar verdi\u011fini varsayal\u0131m: ayakkab\u0131 numaras\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu de\u011fi\u015fkenin final s\u0131nav\u0131 notuyla hi\u00e7bir ili\u015fkisi olmamas\u0131na ra\u011fmen a\u015fa\u011f\u0131daki regresyon modelini uyarlamaya karar verir:<\/span><\/p>\n<p> <span style=\"color: #000000;\">S\u0131nav puan\u0131 = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> (\u00e7al\u0131\u015fma i\u00e7in harcanan saat) + \u03b2 <sub>2<\/sub> (cari y\u0131l) + \u03b2 <sub>3<\/sub> (ayakkab\u0131 numaras\u0131)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu regresyon modelinin a\u015fa\u011f\u0131daki \u00f6l\u00e7\u00fcmlere sahip oldu\u011funu varsayal\u0131m:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">R kare: <strong>0,965<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">D\u00fczeltilmi\u015f R-kare: <strong>0,902<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu iki regresyon modelinin her biri i\u00e7in yaln\u0131zca <strong>R-kare<\/strong> de\u011ferlerine baksayd\u0131k, R-kare de\u011feri daha y\u00fcksek oldu\u011fu i\u00e7in ikinci modelin kullan\u0131lmas\u0131n\u0131n daha iyi oldu\u011fu sonucuna var\u0131rd\u0131k!<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak <strong>d\u00fczeltilmi\u015f R-kare<\/strong> de\u011ferlerine bakarsak farkl\u0131 bir sonuca var\u0131r\u0131z: birinci modeli kullanmak daha iyidir \u00e7\u00fcnk\u00fc d\u00fczeltilmi\u015f R-kare de\u011feri daha y\u00fcksektir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130kinci model, birinci modele g\u00f6re daha fazla yorday\u0131c\u0131 de\u011fi\u015fkene sahip oldu\u011fundan yaln\u0131zca daha y\u00fcksek bir R-kare de\u011ferine sahiptir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak ekledi\u011fimiz yorday\u0131c\u0131 de\u011fi\u015fken (ayakkab\u0131 numaras\u0131) final s\u0131nav puan\u0131n\u0131n zay\u0131f bir yorday\u0131c\u0131s\u0131yd\u0131, bu nedenle d\u00fczeltilmi\u015f R-kare de\u011feri, bu yorday\u0131c\u0131 de\u011fi\u015fkeni ekledi\u011fi i\u00e7in modeli cezaland\u0131rd\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnek, regresyon modellerinin uyumunu farkl\u0131 say\u0131da \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkenle kar\u015f\u0131la\u015ft\u0131r\u0131rken d\u00fczeltilmi\u015f R-karenin neden daha iyi bir \u00f6l\u00e7\u00fcm oldu\u011funu g\u00f6stermektedir.<\/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, farkl\u0131 istatistiksel yaz\u0131l\u0131mlar kullan\u0131larak d\u00fczeltilmi\u015f R-kare de\u011ferlerinin nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/rdeki-r-kareler-uyar\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de d\u00fczeltilmi\u015f R-kare nas\u0131l hesaplan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/r-kare-excel-ayarlamalari\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de d\u00fczeltilmi\u015f R-kare nas\u0131l hesaplan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/pythonda-r-karesi-ayarlanir\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da d\u00fczeltilmi\u015f R-kare nas\u0131l hesaplan\u0131r<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Do\u011frusal regresyon modellerini yerle\u015ftirirken s\u0131kl\u0131kla modelin R-kare de\u011ferini hesaplar\u0131z. R-kare de\u011feri, yan\u0131t de\u011fi\u015fkenindeki varyans\u0131n, modeldeki yorday\u0131c\u0131 de\u011fi\u015fkenler taraf\u0131ndan a\u00e7\u0131klanabilen oran\u0131d\u0131r. R karenin de\u011feri 0 ila 1 aras\u0131nda de\u011fi\u015febilir; burada: 0 de\u011feri, yan\u0131t de\u011fi\u015fkeninin yorday\u0131c\u0131 de\u011fi\u015fkenler taraf\u0131ndan hi\u00e7bir \u015fekilde a\u00e7\u0131klanamayaca\u011f\u0131n\u0131 g\u00f6sterir. 1 de\u011feri, yan\u0131t de\u011fi\u015fkeninin yorday\u0131c\u0131 de\u011fi\u015fkenler taraf\u0131ndan m\u00fckemmel bir \u015fekilde a\u00e7\u0131klanabildi\u011fini g\u00f6sterir. Bu metrik, bir [&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-2976","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>D\u00fczeltilmi\u015f R-Kare Nas\u0131l Yorumlan\u0131r (\u00d6rneklerle) - Statoryaller<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, regresyon modelleri i\u00e7in d\u00fczeltilmi\u015f R-kare de\u011ferlerinin nas\u0131l yorumlanaca\u011f\u0131 bir \u00f6rnekle 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\/duzeltilmis-r-kare-yorumu\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"D\u00fczeltilmi\u015f R-Kare Nas\u0131l Yorumlan\u0131r (\u00d6rneklerle) - Statoryaller\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde, regresyon modelleri i\u00e7in d\u00fczeltilmi\u015f R-kare de\u011ferlerinin nas\u0131l yorumlanaca\u011f\u0131 bir \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/duzeltilmis-r-kare-yorumu\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-19T19:57:01+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=\"4 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/duzeltilmis-r-kare-yorumu\/\",\"url\":\"https:\/\/statorials.org\/tr\/duzeltilmis-r-kare-yorumu\/\",\"name\":\"D\u00fczeltilmi\u015f R-Kare Nas\u0131l Yorumlan\u0131r (\u00d6rneklerle) - Statoryaller\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-19T19:57:01+00:00\",\"dateModified\":\"2023-07-19T19:57:01+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde, regresyon modelleri i\u00e7in d\u00fczeltilmi\u015f R-kare de\u011ferlerinin nas\u0131l yorumlanaca\u011f\u0131 bir \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/duzeltilmis-r-kare-yorumu\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/duzeltilmis-r-kare-yorumu\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/duzeltilmis-r-kare-yorumu\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"D\u00fczeltilmi\u015f r-kare nas\u0131l yorumlan\u0131r (\u00f6rneklerle)\"}]},{\"@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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