{"id":1567,"date":"2023-07-25T20:42:10","date_gmt":"2023-07-25T20:42:10","guid":{"rendered":"https:\/\/statorials.org\/tr\/rdeki-guc-regresyonu\/"},"modified":"2023-07-25T20:42:10","modified_gmt":"2023-07-25T20:42:10","slug":"rdeki-guc-regresyonu","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rdeki-guc-regresyonu\/","title":{"rendered":"R&#39;de g\u00fc\u00e7 regresyonunun ger\u00e7ekle\u015ftirilmesi (ad\u0131m ad\u0131m)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>G\u00fc\u00e7 regresyonu<\/strong> , a\u015fa\u011f\u0131daki formu alan do\u011frusal olmayan bir regresyon t\u00fcr\u00fcd\u00fcr:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>y = <sup>axb<\/sup><\/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\u015fkeni<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x:<\/strong> tahmin de\u011fi\u015fkeni<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>a, b:<\/strong> <em>x<\/em> ve <em>y<\/em> aras\u0131ndaki ili\u015fkiyi tan\u0131mlayan regresyon katsay\u0131lar\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu t\u00fcr regresyon, <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener\">yan\u0131t de\u011fi\u015fkeninin<\/a> bir g\u00fcce y\u00fckseltilmi\u015f yorday\u0131c\u0131 de\u011fi\u015fkene e\u015fit oldu\u011fu durumlar\u0131 modellemek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki ad\u0131m ad\u0131m \u00f6rnek, R&#8217;de belirli bir veri k\u00fcmesi i\u00e7in g\u00fc\u00e7 regresyonunun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>1. Ad\u0131m: Verileri olu\u015fturun<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00d6ncelikle iki de\u011fi\u015fken i\u00e7in sahte veriler olu\u015ftural\u0131m: x ve y.<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data<\/span>\nx=1:20\ny=c(1, 8, 5, 7, 6, 20, 15, 19, 23, 37, 33, 38, 49, 50, 56, 52, 70, 89, 97, 115)<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>2. Ad\u0131m: Verileri g\u00f6rselle\u015ftirin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra x ile y aras\u0131ndaki ili\u015fkiyi g\u00f6rselle\u015ftirmek i\u00e7in bir da\u011f\u0131l\u0131m grafi\u011fi olu\u015ftural\u0131m:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create scatterplot<\/span>\nplot(x, y)<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15543 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/puissancer1.png\" alt=\"\" width=\"450\" height=\"416\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Grafik, iki de\u011fi\u015fken aras\u0131nda a\u00e7\u0131k bir g\u00fc\u00e7 ili\u015fkisinin oldu\u011funu g\u00f6stermektedir. Bu nedenle verilere do\u011frusal bir regresyon modeli yerine bir g\u00fc\u00e7 regresyon denklemi uydurmak daha ak\u0131ll\u0131ca g\u00f6r\u00fcnmektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: G\u00fc\u00e7 regresyon modelini yerle\u015ftirin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra, verilere bir regresyon modeli s\u0131\u011fd\u0131rmak i\u00e7in <strong>lm()<\/strong> i\u015flevini kullanaca\u011f\u0131z ve R&#8217;nin modeli yerle\u015ftirirken yan\u0131t de\u011fi\u015fkeni log&#8217;u ve tahmin de\u011fi\u015fkeni log&#8217;u kullanmas\u0131 gerekti\u011fini belirtece\u011fiz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit the model\n<\/span>model &lt;- lm(log(y)~ log(x))\n\n<span style=\"color: #008080;\">#view the output of the model\n<\/span>summary(model)\n\nCall:\nlm(formula = log(y) ~ log(x))\n\nResiduals:\n     Min 1Q Median 3Q Max \n-0.67014 -0.17190 -0.05341 0.16343 0.93186 \n\nCoefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 0.15333 0.20332 0.754 0.461    \nlog(x) 1.43439 0.08996 15.945 4.62e-12 ***\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 0.3187 on 18 degrees of freedom\nMultiple R-squared: 0.9339, Adjusted R-squared: 0.9302 \nF-statistic: 254.2 on 1 and 18 DF, p-value: 4.619e-12<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Modelin <a href=\"https:\/\/statorials.org\/tr\/regresyonda-genel-anlamlilik-icin-f-testini-anlamaya-yonelik-basit-bir-kilavuz\/\" target=\"_blank\" rel=\"noopener\">genel F de\u011feri<\/a> 252,1&#8217;dir ve buna kar\u015f\u0131l\u0131k gelen p de\u011feri son derece d\u00fc\u015f\u00fckt\u00fcr (4,619e-12), bu da modelin bir b\u00fct\u00fcn olarak faydal\u0131 oldu\u011funu g\u00f6stermektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7\u0131k\u0131\u015f tablosundaki katsay\u0131lar\u0131 kullanarak, uygun g\u00fc\u00e7 regresyon denkleminin \u015f\u00f6yle oldu\u011funu g\u00f6rebiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>ln(y) = 0,15333 + 1,43439ln(x)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Her iki tarafa da <em>e<\/em> uyguland\u0131\u011f\u0131nda denklemi a\u015fa\u011f\u0131daki gibi yeniden yazabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>y = e <sup>0,15333 + 1,43439ln(x)<\/sup><\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>y = 1,1657x <sup>1,43439<\/sup><\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu denklemi, tahmin de\u011fi\u015fkeni <em>x&#8217;in<\/em> de\u011ferine dayanarak yan\u0131t de\u011fi\u015fkeni <em>y&#8217;yi<\/em> tahmin etmek i\u00e7in kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, <em>x<\/em> = 12 ise <em>y&#8217;nin<\/em> <strong>41,167<\/strong> olaca\u011f\u0131n\u0131 tahmin ederiz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">y = 1,1657(12) <sup>1,43439<\/sup> = 41,167<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Bonus:<\/strong> Belirli bir tahminci ve yan\u0131t de\u011fi\u015fkeni i\u00e7in g\u00fc\u00e7 regresyon denklemini otomatik olarak hesaplamak amac\u0131yla bu \u00e7evrimi\u00e7i g\u00fc\u00e7 regresyonu hesaplay\u0131c\u0131s\u0131n\u0131 kullanmaktan \u00e7ekinmeyin.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon-r\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de \u00e7oklu do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rde-ustel-regresyon\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de \u00fcstel regresyon nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rde-logaritmik-regresyon\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de logaritmik regresyon nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>G\u00fc\u00e7 regresyonu , a\u015fa\u011f\u0131daki formu alan do\u011frusal olmayan bir regresyon t\u00fcr\u00fcd\u00fcr: y = axb Alt\u0131n: y: yan\u0131t de\u011fi\u015fkeni x: tahmin de\u011fi\u015fkeni a, b: x ve y aras\u0131ndaki ili\u015fkiyi tan\u0131mlayan regresyon katsay\u0131lar\u0131 Bu t\u00fcr regresyon, yan\u0131t de\u011fi\u015fkeninin bir g\u00fcce y\u00fckseltilmi\u015f yorday\u0131c\u0131 de\u011fi\u015fkene e\u015fit oldu\u011fu durumlar\u0131 modellemek i\u00e7in kullan\u0131l\u0131r. A\u015fa\u011f\u0131daki ad\u0131m ad\u0131m \u00f6rnek, R&#8217;de belirli bir veri [&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-1567","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 G\u00fc\u00e7 Regresyonunun Ger\u00e7ekle\u015ftirilmesi (Ad\u0131m Ad\u0131m)<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, bir tan\u0131m ve \u00f6rnek de dahil olmak \u00fczere g\u00fc\u00e7 gerilemesinin 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\" 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