{"id":659,"date":"2023-07-29T04:40:17","date_gmt":"2023-07-29T04:40:17","guid":{"rendered":"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon-excel\/"},"modified":"2023-07-29T04:40:17","modified_gmt":"2023-07-29T04:40:17","slug":"coklu-dogrusal-regresyon-excel","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon-excel\/","title":{"rendered":"Excel&#39;de \u00e7oklu do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u00c7oklu do\u011frusal regresyon,<\/strong> iki veya daha fazla a\u00e7\u0131klay\u0131c\u0131 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 anlamak i\u00e7in kullanabilece\u011fimiz bir y\u00f6ntemdir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde Excel&#8217;de \u00e7oklu do\u011frusal regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em><strong>Not:<\/strong> Yaln\u0131zca bir a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkeniniz varsa bunun yerine <a href=\"https:\/\/statorials.org\/tr\/basit-dogrusal-regresyon-excel\/\" target=\"_blank\" rel=\"noopener\">basit bir do\u011frusal regresyon<\/a> ger\u00e7ekle\u015ftirmelisiniz.<\/em><\/span><\/p>\n<h3> <strong>\u00d6rnek: Excel&#8217;de \u00c7oklu Do\u011frusal Regresyon<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Diyelim ki, ders \u00e7al\u0131\u015fmak i\u00e7in harcanan saatlerin ve al\u0131nan haz\u0131rl\u0131k s\u0131navlar\u0131n\u0131n say\u0131s\u0131n\u0131n, bir \u00f6\u011frencinin belirli bir \u00fcniversiteye giri\u015f s\u0131nav\u0131nda ald\u0131\u011f\u0131 notu etkileyip etkilemedi\u011fini bilmek istiyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu ili\u015fkiyi ara\u015ft\u0131rmak i\u00e7in, <strong>\u00e7al\u0131\u015f\u0131lan saatleri<\/strong> ve <strong>al\u0131nan haz\u0131rl\u0131k s\u0131navlar\u0131n\u0131<\/strong> a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenler olarak ve <strong>s\u0131nav sonu\u00e7lar\u0131n\u0131<\/strong> yan\u0131t de\u011fi\u015fkeni olarak kullanarak \u00e7oklu do\u011frusal regresyon ger\u00e7ekle\u015ftirebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7oklu do\u011frusal regresyon ger\u00e7ekle\u015ftirmek i\u00e7in Excel&#8217;de a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 tamamlay\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Verileri girin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">20 \u00f6\u011frenci i\u00e7in \u00e7al\u0131\u015f\u0131lan saat say\u0131s\u0131, girilen haz\u0131rl\u0131k s\u0131navlar\u0131 ve al\u0131nan s\u0131nav sonu\u00e7lar\u0131 i\u00e7in a\u015fa\u011f\u0131daki verileri girin:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6298 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multipleregexcel1.png\" alt=\"Excel'de \u00e7oklu do\u011frusal regresyon i\u00e7in ham veriler\" width=\"399\" height=\"431\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: \u00c7oklu do\u011frusal regresyon ger\u00e7ekle\u015ftirin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Excel&#8217;in \u00fcst \u015feridinde <strong>Veri<\/strong> sekmesine gidin ve <strong>Veri Analizi&#8217;ni<\/strong> t\u0131klay\u0131n. Bu se\u00e7ene\u011fi g\u00f6rm\u00fcyorsan\u0131z, \u00f6ncelikle<\/span> <a href=\"https:\/\/statorials.org\/tr\/analiz-arac-paketini-excele-nasil-yukleyebilirim\/\" target=\"_blank\" rel=\"noopener\">\u00fccretsiz Analysis ToolPak yaz\u0131l\u0131m\u0131n\u0131 y\u00fcklemelisiniz<\/a> . <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5292 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/deuxsampexcel3.png\" alt=\"Excel'de Veri Analizi Se\u00e7ene\u011fi\" width=\"535\" height=\"204\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Veri Analizi&#8217;ne<\/strong> t\u0131klad\u0131\u011f\u0131n\u0131zda yeni bir pencere a\u00e7\u0131lacakt\u0131r. <strong>Regresyon&#8217;u<\/strong> se\u00e7in ve Tamam&#8217;a t\u0131klay\u0131n.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6299 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multipleregexcel2.png\" alt=\"Excel'de \u00c7oklu Do\u011frusal Regresyon \u00d6rne\u011fi\" width=\"617\" height=\"418\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Giri\u015f Y Aral\u0131\u011f\u0131<\/strong> i\u00e7in yan\u0131t de\u011fi\u015fkenine ili\u015fkin de\u011ferler dizisini doldurun. <strong>Giri\u015f X Aral\u0131\u011f\u0131<\/strong> i\u00e7in iki a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenin de\u011fer dizisini doldurun. Excel&#8217;in de\u011fi\u015fken adlar\u0131n\u0131 giri\u015f aral\u0131klar\u0131na dahil etti\u011fimizi bilmesini sa\u011flamak i\u00e7in <strong>Etiketler&#8217;in<\/strong> yan\u0131ndaki kutuyu i\u015faretleyin. <strong>\u00c7\u0131k\u0131\u015f Aral\u0131\u011f\u0131<\/strong> i\u00e7in regresyon \u00e7\u0131kt\u0131s\u0131n\u0131n g\u00f6r\u00fcnmesini istedi\u011finiz h\u00fccreyi se\u00e7in. Daha sonra <strong>Tamam&#8217;\u0131<\/strong> t\u0131klay\u0131n.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6300 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multipleregexcel3.png\" alt=\"Excel'de \u00c7oklu Do\u011frusal Regresyon\" width=\"633\" height=\"462\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00e7\u0131kt\u0131 otomatik olarak g\u00f6r\u00fcnecektir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6301 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multipleregexcel4.png\" alt=\"Excel'de \u00c7oklu Do\u011frusal Regresyon \u00c7\u0131kt\u0131s\u0131\" width=\"608\" height=\"420\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: Sonucu yorumlay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Sonu\u00e7taki en alakal\u0131 say\u0131lar\u0131 nas\u0131l yorumlayaca\u011f\u0131n\u0131z a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>R Kare:<\/strong> <strong>0,734<\/strong> . Buna belirleme katsay\u0131s\u0131 denir. A\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenler taraf\u0131ndan a\u00e7\u0131klanabilen yan\u0131t de\u011fi\u015fkeninin varyans\u0131n\u0131n oran\u0131d\u0131r. Bu \u00f6rnekte s\u0131nav puanlar\u0131ndaki farkl\u0131l\u0131\u011f\u0131n %73,4&#8217;\u00fc \u00e7al\u0131\u015f\u0131lan saat ve girilen haz\u0131rl\u0131k s\u0131nav\u0131 say\u0131s\u0131yla a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Standart hata:<\/strong> <strong>5,366<\/strong> . Bu, g\u00f6zlemlenen de\u011ferler ile regresyon \u00e7izgisi aras\u0131ndaki ortalama mesafedir. Bu \u00f6rnekte g\u00f6zlemlenen de\u011ferler regresyon do\u011frusundan ortalama 5.366 birim sapmaktad\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>F: 23:46<\/strong> Bu, regresyon modeli i\u00e7in regresyon MS\/art\u0131k MS olarak hesaplanan genel F istatisti\u011fidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Anlam\u0131 F: 0,0000<\/strong> . Bu, genel F istatisti\u011fiyle ili\u015fkili p de\u011feridir. Bu bize regresyon modelinin bir b\u00fct\u00fcn olarak istatistiksel olarak anlaml\u0131 olup olmad\u0131\u011f\u0131n\u0131 s\u00f6yler. Ba\u015fka bir deyi\u015fle, bize iki a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenin birle\u015fiminin yan\u0131t de\u011fi\u015fkeni ile istatistiksel olarak anlaml\u0131 bir ili\u015fkiye sahip olup olmad\u0131\u011f\u0131n\u0131 s\u00f6yler. Bu durumda p de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fckt\u00fcr; bu durum, a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenlerin <strong>, \u00e7al\u0131\u015f\u0131lan saatlerin<\/strong> ve <strong>girilen haz\u0131rl\u0131k s\u0131navlar\u0131n\u0131n<\/strong> birle\u015fiminin <strong>s\u0131nav sonucuyla<\/strong> istatistiksel olarak anlaml\u0131 bir ili\u015fkiye sahip oldu\u011funu g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P de\u011ferleri.<\/strong> Bireysel p de\u011ferleri bize her a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenin istatistiksel olarak anlaml\u0131 olup olmad\u0131\u011f\u0131n\u0131 s\u00f6yler. <strong>\u00c7al\u0131\u015f\u0131lan saatlerin<\/strong> istatistiksel olarak anlaml\u0131 oldu\u011funu (p = 0,00), <strong>al\u0131nan haz\u0131rl\u0131k s\u0131navlar\u0131n\u0131n<\/strong> (p = 0,52) \u03b1 = 0,05&#8217;te istatistiksel olarak anlaml\u0131 olmad\u0131\u011f\u0131n\u0131 g\u00f6rebiliriz. <strong>Ge\u00e7mi\u015f haz\u0131rl\u0131k s\u0131navlar\u0131n\u0131n<\/strong> istatistiksel olarak anlaml\u0131 olmamas\u0131 nedeniyle onlar\u0131 modelden \u00e7\u0131karmaya karar verebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Katsay\u0131lar:<\/strong> Her bir a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenin katsay\u0131lar\u0131, di\u011fer a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenin sabit kald\u0131\u011f\u0131 varsay\u0131larak, bize yan\u0131t de\u011fi\u015fkeninde beklenen ortalama de\u011fi\u015fimi s\u00f6yler. \u00d6rne\u011fin, <strong>al\u0131nan deneme s\u0131navlar\u0131n\u0131n sabit kald\u0131\u011f\u0131 varsay\u0131larak, ders \u00e7al\u0131\u015fmak i\u00e7in<\/strong> harcanan her ek saat i\u00e7in ortalama s\u0131nav puan\u0131n\u0131n <strong>5,56<\/strong> artmas\u0131 beklenir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Buna ba\u015fka bir a\u00e7\u0131dan da bakabiliriz: \u00d6\u011frenci A ve \u00d6\u011frenci B ayn\u0131 say\u0131da haz\u0131rl\u0131k s\u0131nav\u0131na girerse ancak \u00d6\u011frenci A bir saat daha uzun \u00e7al\u0131\u015f\u0131rsa, \u00d6\u011frenci A, \u00d6\u011frenci B&#8217;den <strong>5,56<\/strong> puan daha y\u00fcksek puan almal\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kesi\u015fme katsay\u0131s\u0131n\u0131, ders saati \u00e7al\u0131\u015fmayan ve haz\u0131rl\u0131k s\u0131nav\u0131na girmeyen bir \u00f6\u011frenci i\u00e7in beklenen s\u0131nav puan\u0131n\u0131n <strong>67,67<\/strong> oldu\u011fu \u015feklinde yorumluyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Tahmini regresyon denklemi:<\/strong> A\u015fa\u011f\u0131daki tahmini regresyon denklemini olu\u015fturmak i\u00e7in model \u00e7\u0131kt\u0131s\u0131ndaki katsay\u0131lar\u0131 kullanabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>s\u0131nav puan\u0131 = 67,67 + 5,56*(saat) \u2013 0,60*(haz\u0131rl\u0131k s\u0131navlar\u0131)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu tahmini regresyon denklemini, bir \u00f6\u011frencinin \u00e7al\u0131\u015fma saati ve girdi\u011fi deneme s\u0131navlar\u0131n\u0131n say\u0131s\u0131na ba\u011fl\u0131 olarak beklenen s\u0131nav puan\u0131n\u0131 hesaplamak i\u00e7in kullanabiliriz. \u00d6rne\u011fin \u00fc\u00e7 saat \u00e7al\u0131\u015f\u0131p haz\u0131rl\u0131k s\u0131nav\u0131na giren bir \u00f6\u011frencinin notunun <strong>83,75<\/strong> olmas\u0131 gerekir:<\/span><\/p>\n<p> <span style=\"color: #000000;\">s\u0131nav puan\u0131 = 67,67 + 5,56*(3) \u2013 0,60*(1) = 83,75<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ge\u00e7mi\u015f haz\u0131rl\u0131k s\u0131navlar\u0131n\u0131n<\/strong> istatistiksel olarak anlaml\u0131 olmamas\u0131 (p=0,52) nedeniyle modelin geneline herhangi bir iyile\u015ftirme sa\u011flamamas\u0131 nedeniyle bunlar\u0131 kald\u0131rmaya karar verebilece\u011fimizi unutmay\u0131n. Bu durumda a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken olarak yaln\u0131zca <strong>\u00e7al\u0131\u015f\u0131lan saatleri<\/strong> kullanarak basit bir do\u011frusal regresyon ger\u00e7ekle\u015ftirebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu basit do\u011frusal regresyon analizinin sonu\u00e7lar\u0131n\u0131 <a href=\"https:\/\/statorials.org\/tr\/basit-dogrusal-regresyon-excel\/\" target=\"_blank\" rel=\"noopener\">burada<\/a> bulabilirsiniz.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Ek kaynaklar<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u00c7oklu do\u011frusal regresyon ger\u00e7ekle\u015ftirdikten sonra a\u015fa\u011f\u0131dakiler de dahil olmak \u00fczere \u00e7e\u015fitli varsay\u0131mlar\u0131 kontrol etmek isteyebilirsiniz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> <a href=\"https:\/\/statorials.org\/tr\/excelde-canlilik-nasil-hesaplanir\/\" target=\"_blank\" rel=\"noopener\">VIF kullanarak \u00e7oklu ba\u011flant\u0131n\u0131n test edilmesi<\/a> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> <a href=\"https:\/\/statorials.org\/tr\/breusch-pagan-excel-testi\/\" target=\"_blank\" rel=\"noopener\">Breusch-Pagan testi kullanarak de\u011fi\u015fen varyanslar\u0131 test edin<\/a> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong> <a href=\"https:\/\/statorials.org\/tr\/bazi-excel-grafigi\/\" target=\"_blank\" rel=\"noopener\">QQ grafi\u011fini kullanarak normalli\u011fi test edin<\/a> .<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00c7oklu do\u011frusal regresyon, iki veya daha fazla a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken ile bir yan\u0131t de\u011fi\u015fkeni aras\u0131ndaki ili\u015fkiyi anlamak i\u00e7in kullanabilece\u011fimiz bir y\u00f6ntemdir. Bu e\u011fitimde Excel&#8217;de \u00e7oklu do\u011frusal regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r. Not: Yaln\u0131zca bir a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkeniniz varsa bunun yerine basit bir do\u011frusal regresyon ger\u00e7ekle\u015ftirmelisiniz. \u00d6rnek: Excel&#8217;de \u00c7oklu Do\u011frusal Regresyon Diyelim ki, ders \u00e7al\u0131\u015fmak i\u00e7in harcanan saatlerin ve [&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-659","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>Excel&#039;de \u00c7oklu Do\u011frusal Regresyon Nas\u0131l Ger\u00e7ekle\u015ftirilir - Statorials<\/title>\n<meta name=\"description\" content=\"Ad\u0131m ad\u0131m \u00f6rnek de dahil olmak \u00fczere Excel&#039;de \u00e7oklu do\u011frusal regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin basit bir a\u00e7\u0131klama.\" \/>\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\/coklu-dogrusal-regresyon-excel\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Excel&#039;de \u00c7oklu Do\u011frusal Regresyon Nas\u0131l Ger\u00e7ekle\u015ftirilir - 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