{"id":1881,"date":"2023-07-24T14:58:16","date_gmt":"2023-07-24T14:58:16","guid":{"rendered":"https:\/\/statorials.org\/tr\/regresyonda-kesisme\/"},"modified":"2023-07-24T14:58:16","modified_gmt":"2023-07-24T14:58:16","slug":"regresyonda-kesisme","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/regresyonda-kesisme\/","title":{"rendered":"Regresyon modelinde kesi\u015fme nas\u0131l yorumlan\u0131r: \u00f6rneklerle"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Bir regresyon modelindeki <strong>kesi\u015fme noktas\u0131<\/strong> (bazen &#8220;sabit&#8221; olarak da adland\u0131r\u0131l\u0131r), modeldeki t\u00fcm \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkenler s\u0131f\u0131ra e\u015fit oldu\u011funda yan\u0131t de\u011fi\u015fkeninin ortalama de\u011ferini temsil eder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde, basit do\u011frusal regresyon ve \u00e7oklu do\u011frusal regresyon modellerinde orijinal de\u011ferin nas\u0131l yorumlanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Basit do\u011frusal regresyonda kesi\u015fimin yorumlanmas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Basit bir do\u011frusal regresyon modeli a\u015fa\u011f\u0131daki formu al\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0177 = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> (x)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u0177: yan\u0131t de\u011fi\u015fkeni i\u00e7in tahmin edilen de\u011fer<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03b2 <sub>0<\/sub> : x = 0 oldu\u011funda yan\u0131t de\u011fi\u015fkeninin ortalama de\u011feri<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03b2 <sub>1<\/sub> : x&#8217;teki bir birimlik art\u0131\u015f i\u00e7in yan\u0131t de\u011fi\u015fkenindeki ortalama de\u011fi\u015fiklik<\/span><\/li>\n<li> <span style=\"color: #000000;\">x: tahmin de\u011fi\u015fkeninin de\u011feri<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Baz\u0131 durumlarda kesme de\u011ferini basit bir do\u011frusal regresyon modelinde yorumlamak mant\u0131kl\u0131 olabilir, ancak her zaman de\u011fil. A\u015fa\u011f\u0131daki \u00f6rnekler bunu g\u00f6stermektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: M\u00fcdahalenin yorumlanmas\u0131 anlaml\u0131d\u0131r<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Tahmin edici de\u011fi\u015fken olarak <em>\u00e7al\u0131\u015f\u0131lan saatleri<\/em> ve yan\u0131t de\u011fi\u015fkeni olarak <em>s\u0131nav puanlar\u0131n\u0131<\/em> kullanarak basit bir do\u011frusal regresyon modeli uydurmak istedi\u011fimizi varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu verileri belirli bir \u00fcniversite dersindeki 50 \u00f6\u011frenci i\u00e7in topluyoruz ve a\u015fa\u011f\u0131daki regresyon modeline uyuyoruz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">S\u0131nav puan\u0131 = 65,4 + 2,67 (saat)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu modelde orijinal terimin de\u011feri <strong>65,4&#8217;t\u00fcr<\/strong> . Bu, \u00e7al\u0131\u015f\u0131lan saat say\u0131s\u0131 s\u0131f\u0131r oldu\u011funda ortalama s\u0131nav puan\u0131n\u0131n <strong>65,4<\/strong> oldu\u011fu anlam\u0131na gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir \u00f6\u011frencinin s\u0131nava s\u0131f\u0131r saat \u00e7al\u0131\u015fmas\u0131 makul oldu\u011fundan, bunu yorumlamak mant\u0131kl\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Durdurman\u0131n yorumlanmas\u0131 mant\u0131kl\u0131 de\u011fil<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Tahmin de\u011fi\u015fkeni olarak <em>a\u011f\u0131rl\u0131\u011f\u0131<\/em> (pound cinsinden) ve yan\u0131t de\u011fi\u015fkeni olarak <em>boyu<\/em> (in\u00e7 cinsinden) kullanarak basit bir do\u011frusal regresyon modeli uydurmak istedi\u011fimizi varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu verileri 50 ki\u015fi i\u00e7in topluyoruz ve a\u015fa\u011f\u0131daki regresyon modelini uyguluyoruz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Y\u00fckseklik = 22,3 + 0,28 (pound)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu modelde orijinal terimin de\u011feri <strong>22,3&#8217;t\u00fcr<\/strong> . Bu, kilosu s\u0131f\u0131r oldu\u011funda ortalama ki\u015finin boyunun <strong>22,3<\/strong> in\u00e7 oldu\u011fu anlam\u0131na gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir ki\u015finin s\u0131f\u0131r kilo almas\u0131 m\u00fcmk\u00fcn olmad\u0131\u011f\u0131ndan bunu yorumlaman\u0131n bir anlam\u0131 yoktur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak modeli tahmin yapmak amac\u0131yla kullanabilmemiz i\u00e7in yine de orijinal terimi modelde tutmam\u0131z gerekiyor. Kesi\u015fmenin bu model i\u00e7in anlaml\u0131 bir yorumu yoktur.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00c7oklu Do\u011frusal Regresyonda Kesi\u015fimin Yorumlanmas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00c7oklu do\u011frusal regresyon modeli a\u015fa\u011f\u0131daki formu al\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0177 = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> (x <sub>1<\/sub> ) + \u03b2 <sub>2<\/sub> (x <sub>2<\/sub> ) + \u03b2 <sub>3<\/sub> (x <sub>3<\/sub> ) + \u2026 + \u03b2 <sub>k<\/sub> (x <sub>k<\/sub> )<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u0177: yan\u0131t de\u011fi\u015fkeni i\u00e7in tahmin edilen de\u011fer<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03b2 <sub>0<\/sub> : T\u00fcm yorday\u0131c\u0131 de\u011fi\u015fkenler s\u0131f\u0131r oldu\u011funda yan\u0131t de\u011fi\u015fkeninin ortalama de\u011feri<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03b2 <sub>j<\/sub> : <sup>j&#8217;inci<\/sup> yorday\u0131c\u0131 de\u011fi\u015fkendeki bir birimlik art\u0131\u015f i\u00e7in yan\u0131t de\u011fi\u015fkenindeki ortalama de\u011fi\u015fiklik, di\u011fer t\u00fcm yorday\u0131c\u0131 de\u011fi\u015fkenlerin sabit kald\u0131\u011f\u0131 varsay\u0131l\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\">x <sub>j<\/sub> : <sup>j&#8217;inci<\/sup> tahmin de\u011fi\u015fkeninin de\u011feri<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Basit do\u011frusal regresyona benzer \u015fekilde, kesi\u015fme de\u011ferini \u00e7oklu do\u011frusal regresyon modelinde yorumlamak bazen anlaml\u0131 olabilir, ancak her zaman de\u011fil. A\u015fa\u011f\u0131daki \u00f6rnekler bunu g\u00f6stermektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: M\u00fcdahalenin yorumlanmas\u0131 anlaml\u0131d\u0131r<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Tahmin edici de\u011fi\u015fkenler olarak al\u0131nan <em>\u00e7al\u0131\u015fma saatlerini<\/em> ve <em>haz\u0131rl\u0131k s\u0131navlar\u0131n\u0131<\/em> ve yan\u0131t de\u011fi\u015fkeni olarak <em>s\u0131nav puanlar\u0131n\u0131<\/em> kullanarak \u00e7oklu do\u011frusal regresyon modelini uydurmak istedi\u011fimizi varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu verileri belirli bir \u00fcniversite dersindeki 50 \u00f6\u011frenci i\u00e7in topluyoruz ve a\u015fa\u011f\u0131daki regresyon modeline uyuyoruz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">S\u0131nav puan\u0131 = 58,4 + 2,23 (saat) + 1,34 (haz\u0131rl\u0131k s\u0131nav say\u0131s\u0131)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu modelde orijinal terimin de\u011feri <strong>58,4&#8217;t\u00fcr<\/strong> . Bu, \u00e7al\u0131\u015f\u0131lan saat say\u0131s\u0131 ve al\u0131nan haz\u0131rl\u0131k s\u0131nav\u0131 say\u0131s\u0131 s\u0131f\u0131ra e\u015fit oldu\u011funda ortalama s\u0131nav puan\u0131n\u0131n <strong>58,4<\/strong> oldu\u011fu anlam\u0131na gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir \u00f6\u011frencinin s\u0131f\u0131r saat \u00e7al\u0131\u015fmas\u0131 ve s\u0131navdan \u00f6nce herhangi bir haz\u0131rl\u0131k s\u0131nav\u0131na girmemesi makul oldu\u011fundan, bunu yorumlamak mant\u0131kl\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Durdurman\u0131n yorumlanmas\u0131 mant\u0131kl\u0131 de\u011fil<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Tahmin edici de\u011fi\u015fkenler olarak <em>metrekare<\/em> ve <em>yatak odas\u0131 say\u0131s\u0131n\u0131<\/em> ve yan\u0131t de\u011fi\u015fkeni olarak <em>sat\u0131\u015f fiyat\u0131n\u0131<\/em> kullanarak \u00e7oklu do\u011frusal regresyon modelini uydurmak istedi\u011fimizi varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu verileri belirli bir \u015fehirdeki 100 ev i\u00e7in topluyoruz ve a\u015fa\u011f\u0131daki regresyon modelini uyguluyoruz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Fiyat = 87.244 + 3,44 (fit kare) + 843,45 (yatak odas\u0131 say\u0131s\u0131)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu modelde orijinal terimin de\u011feri <strong>87.244&#8217;t\u00fcr<\/strong> . Bu, bir evin metrekaresi ve yatak odas\u0131 say\u0131s\u0131 s\u0131f\u0131ra e\u015fit oldu\u011funda ortalama ev sat\u0131\u015f fiyat\u0131n\u0131n <strong>87.244 dolar<\/strong> oldu\u011fu anlam\u0131na gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir evin s\u0131f\u0131r metrekareye ve s\u0131f\u0131r yatak odas\u0131na sahip olmas\u0131 m\u00fcmk\u00fcn olmad\u0131\u011f\u0131ndan bunu yorumlaman\u0131n bir anlam\u0131 yoktur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak yine de tahminlerde bulunmak i\u00e7in orijinal terimi modelde tutmam\u0131z gerekiyor. Kesi\u015fmenin bu model i\u00e7in anlaml\u0131 bir yorumu yoktur.<\/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\/kismi-regresyon-katsayisi\/\" target=\"_blank\" rel=\"noopener\">K\u0131smi regresyon katsay\u0131lar\u0131 nas\u0131l yorumlan\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bir regresyon modelindeki kesi\u015fme noktas\u0131 (bazen &#8220;sabit&#8221; olarak da adland\u0131r\u0131l\u0131r), modeldeki t\u00fcm \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkenler s\u0131f\u0131ra e\u015fit oldu\u011funda yan\u0131t de\u011fi\u015fkeninin ortalama de\u011ferini temsil eder. Bu e\u011fitimde, basit do\u011frusal regresyon ve \u00e7oklu do\u011frusal regresyon modellerinde orijinal de\u011ferin nas\u0131l yorumlanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. Basit do\u011frusal regresyonda kesi\u015fimin yorumlanmas\u0131 Basit bir do\u011frusal regresyon modeli a\u015fa\u011f\u0131daki formu al\u0131r: \u0177 = \u03b2 0 [&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-1881","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>Regresyon Modelinde Kesi\u015fme Nas\u0131l Yorumlan\u0131r: \u00d6rneklerle<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde orijinal terimin (bazen &quot;sabit&quot; olarak da adland\u0131r\u0131l\u0131r) bir regresyon modelinde nas\u0131l yorumlanaca\u011f\u0131 \u00f6rneklerle 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\/regresyonda-kesisme\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Regresyon Modelinde Kesi\u015fme Nas\u0131l Yorumlan\u0131r: \u00d6rneklerle\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde orijinal terimin (bazen &quot;sabit&quot; 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