{"id":2520,"date":"2023-07-21T22:18:27","date_gmt":"2023-07-21T22:18:27","guid":{"rendered":"https:\/\/statorials.org\/tr\/kokenden-gerileme\/"},"modified":"2023-07-21T22:18:27","modified_gmt":"2023-07-21T22:18:27","slug":"kokenden-gerileme","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/kokenden-gerileme\/","title":{"rendered":"K\u00f6kenden regresyon: tan\u0131m ve \u00f6rnek"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Basit do\u011frusal regresyon, bir veya daha fazla \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fken ile bir <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener\">yan\u0131t de\u011fi\u015fkeni<\/a> aras\u0131ndaki ili\u015fkiyi \u00f6l\u00e7mek i\u00e7in kullan\u0131labilen bir y\u00f6ntemdir.<\/span><\/p>\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;\"><strong>y = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> x<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>y<\/strong> : Yan\u0131t de\u011fi\u015fkeninin de\u011feri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03b2 <sub>0<\/sub><\/strong> : x = 0 oldu\u011funda yan\u0131t de\u011fi\u015fkeninin de\u011feri (&#8220;kesi\u015fme&#8221; terimi olarak adland\u0131r\u0131l\u0131r)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03b2 <sub>1<\/sub><\/strong> : x&#8217;teki bir birimlik art\u0131\u015fla ili\u015fkili yan\u0131t de\u011fi\u015fkenindeki ortalama art\u0131\u015f<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x<\/strong> : Tahmin de\u011fi\u015fkeninin de\u011feri<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu modelin de\u011fi\u015ftirilmi\u015f bir versiyonu, x 0&#8217;a e\u015fit oldu\u011funda y&#8217;yi 0&#8217;a e\u015fit olmaya zorlayan <strong>orijin \u00fczerinden regresyon<\/strong> olarak bilinir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu t\u00fcr bir model a\u015fa\u011f\u0131daki formu al\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>y = <sub>\u03b21x<\/sub><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Kesi\u015fme teriminin modelden tamamen kald\u0131r\u0131ld\u0131\u011f\u0131n\u0131 unutmay\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu model bazen ara\u015ft\u0131rmac\u0131lar\u0131n, yorday\u0131c\u0131 de\u011fi\u015fken s\u0131f\u0131r oldu\u011funda yan\u0131t de\u011fi\u015fkeninin de s\u0131f\u0131r olmas\u0131 gerekti\u011fini bildi\u011fi durumlarda kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ger\u00e7ek d\u00fcnyada bu t\u00fcr modeller \u00e7o\u011funlukla <a href=\"https:\/\/esajournals.onlinelibrary.wiley.com\/doi\/full\/10.1002\/ecy.1660\" target=\"_blank\" rel=\"noopener\">ormanc\u0131l\u0131k veya ekolojik \u00e7al\u0131\u015fmalarda<\/a> kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin ara\u015ft\u0131rmac\u0131lar a\u011fa\u00e7 y\u00fcksekli\u011fini tahmin etmek i\u00e7in a\u011fa\u00e7 \u00e7evresini kullanabilirler. Belirli bir a\u011fac\u0131n \u00e7evresi s\u0131f\u0131rsa y\u00fcksekli\u011fi de s\u0131f\u0131r olmal\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla bu verilere bir regresyon modeli uydururken orijinal terimin s\u0131f\u0131rdan farkl\u0131 olmas\u0131n\u0131n bir anlam\u0131 olmayacakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, s\u0131radan bir basit do\u011frusal regresyon modelinin yerle\u015ftirilmesi ile regresyonu orijin arac\u0131l\u0131\u011f\u0131yla uygulayan bir modelin yerle\u015ftirilmesi aras\u0131ndaki fark\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: orijinden regresyon<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir biyolo\u011fun a\u011fa\u00e7 y\u00fcksekli\u011fini tahmin etmek i\u00e7in a\u011fa\u00e7 \u00e7evresini kullanarak bir regresyon modeli uydurmak istedi\u011fini varsayal\u0131m. D\u0131\u015far\u0131 \u00e7\u0131k\u0131yor ve 15 a\u011fa\u00e7tan olu\u015fan bir \u00f6rnek i\u00e7in a\u015fa\u011f\u0131daki \u00f6l\u00e7\u00fcmleri topluyor:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-22430 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/origine1-1.jpg\" alt=\"\" width=\"305\" height=\"377\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Basit bir do\u011frusal regresyon modelini hi\u00e7bir kesi\u015fme kullanmayan ve iki regresyon \u00e7izgisini \u00e7izen bir regresyon modeliyle e\u015fle\u015ftirmek i\u00e7in R&#8217;de a\u015fa\u011f\u0131daki kodu kullanabiliriz:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (circ=c(15, 19, 25, 39, 44, 46, 49, 54, 67, 79, 81, 84, 88, 90, 99),\n                 height=c(200, 234, 285, 375, 440, 470, 564, 544, 639, 750, 830, 854,\n                          901, 912, 989))\n\n<span style=\"color: #008080;\">#fit a simple linear regression model\n<\/span>model &lt;- lm(height ~ circ, data = df)\n\n<span style=\"color: #008080;\">#fit regression through the origin\n<\/span>model_origin &lt;- lm(height ~ 0 + ., data = df)\n\n<span style=\"color: #008080;\">#create scatterplot\n<\/span>plot(df$circ, df$height, xlab=' <span style=\"color: #ff0000;\">Circumference<\/span> ', ylab=' <span style=\"color: #ff0000;\">Height<\/span> ',\n     cex= <span style=\"color: #008000;\">1.5<\/span> , pch= <span style=\"color: #008000;\">16<\/span> , ylim=c(0.1000), xlim=c(0.100))\n\n<span style=\"color: #008080;\">#add the fitted regression lines to the scatterplot\n<\/span>abline(model, col=' <span style=\"color: #ff0000;\">blue<\/span> ', lwd= <span style=\"color: #008000;\">2<\/span> )\nabline(model_origin, lty=' <span style=\"color: #ff0000;\">dashed<\/span> ', col=' <span style=\"color: #ff0000;\">red<\/span> ', lwd= <span style=\"color: #008000;\">2<\/span> )\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-22431\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/origine2.jpg\" alt=\"k\u00f6kenden gerileme\" width=\"586\" height=\"371\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">K\u0131rm\u0131z\u0131 noktal\u0131 \u00e7izgi orijinden ge\u00e7en regresyon modelini, mavi d\u00fcz \u00e7izgi ise s\u0131radan basit do\u011frusal regresyon modelini temsil eder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her model i\u00e7in katsay\u0131 tahminlerini elde etmek amac\u0131yla R&#8217;de a\u015fa\u011f\u0131daki kodu kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#display coefficients for simple linear regression model\n<\/span>coef(model)\n\n(Intercept) circ \n  40.696971 9.529631 \n\n<span style=\"color: #008080;\">#display coefficients for regression model through the origin<\/span>\ncoef(model_origin)\n\n    circ \n10.10574 \n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Basit do\u011frusal regresyon modeli i\u00e7in uygun denklem \u015f\u00f6yledir:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Y\u00fckseklik = 40,6969 + 9,5296 (\u00e7evre)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ve orijine g\u00f6re regresyon modeli i\u00e7in uygun denklem \u015fu \u015fekildedir:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Y\u00fckseklik = 10,1057 (\u00e7evre)<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7evre de\u011fi\u015fkenine ili\u015fkin katsay\u0131 tahminlerinin biraz farkl\u0131 oldu\u011funu unutmay\u0131n.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>K\u00f6ken Yoluyla Regresyon Kullan\u0131m\u0131na \u0130li\u015fkin \u00d6nlemler<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Kesi\u015fme regresyonunu kullanmadan \u00f6nce, tahmin de\u011fi\u015fkeni i\u00e7in 0 de\u011ferinin, yan\u0131t de\u011fi\u015fkeni i\u00e7in 0 de\u011ferini ima etti\u011finden kesinlikle emin olmal\u0131s\u0131n\u0131z. Bir\u00e7ok senaryoda kesin olarak bilmek neredeyse imkans\u0131zd\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ve e\u011fer orijini tahmin etmede bir miktar \u00f6zg\u00fcrl\u00fckten tasarruf etmek i\u00e7in orijin \u00fczerinden regresyon kullan\u0131rsan\u0131z, \u00f6rneklem boyutunuz yeterince b\u00fcy\u00fckse, bu nadiren \u00f6nemli bir fark yarat\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">K\u00f6ken \u00fczerinden regresyon kullanmay\u0131 tercih ederseniz, nihai analizinizde veya raporunuzda gerek\u00e7enizi ana hatlar\u0131yla belirtti\u011finizden emin olun.<\/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\u011fitimler do\u011frusal regresyon hakk\u0131nda ek bilgi sa\u011flar:<\/span><\/p>\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\/regresyon-yorumlama-tablosunu-okuyun\/\" target=\"_blank\" rel=\"noopener\">Regresyon Tablosu Nas\u0131l Okunmal\u0131 ve Yorumlanmal\u0131<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Basit do\u011frusal regresyon, bir veya daha fazla \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fken ile bir yan\u0131t de\u011fi\u015fkeni aras\u0131ndaki ili\u015fkiyi \u00f6l\u00e7mek i\u00e7in kullan\u0131labilen bir y\u00f6ntemdir. Basit bir do\u011frusal regresyon modeli a\u015fa\u011f\u0131daki formu al\u0131r: y = \u03b2 0 + \u03b2 1 x Alt\u0131n: y : Yan\u0131t de\u011fi\u015fkeninin de\u011feri \u03b2 0 : x = 0 oldu\u011funda yan\u0131t de\u011fi\u015fkeninin de\u011feri (&#8220;kesi\u015fme&#8221; terimi olarak [&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-2520","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>K\u00f6ken \u00fczerinden regresyon: tan\u0131m ve \u00f6rnek - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, resmi bir tan\u0131m ve \u00f6rnek de dahil olmak \u00fczere, k\u00f6ken \u00fczerinden regresyonun bir a\u00e7\u0131klamas\u0131 sa\u011flanmaktad\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\/kokenden-gerileme\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"K\u00f6ken \u00fczerinden regresyon: tan\u0131m ve \u00f6rnek - 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