{"id":314,"date":"2023-08-02T16:21:11","date_gmt":"2023-08-02T16:21:11","guid":{"rendered":"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon-1\/"},"modified":"2023-08-02T16:21:11","modified_gmt":"2023-08-02T16:21:11","slug":"coklu-dogrusal-regresyon-1","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon-1\/","title":{"rendered":"\u00c7oklu do\u011frusal gerileme"},"content":{"rendered":"<p>Bu makale istatistikte \u00e7oklu do\u011frusal regresyonun ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. Ayr\u0131ca \u00e7oklu do\u011frusal regresyon modelinin nas\u0131l olu\u015fturulaca\u011f\u0131n\u0131 ve bunun nas\u0131l yorumlanaca\u011f\u0131n\u0131 \u00f6\u011freneceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-regresion-lineal-multiple\"><\/span> \u00c7oklu do\u011frusal regresyon nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u00c7oklu do\u011frusal regresyon,<\/strong> iki veya daha fazla ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin dahil edildi\u011fi bir regresyon modelidir. Ba\u015fka bir deyi\u015fle, \u00e7oklu do\u011frusal regresyon, \u00e7e\u015fitli a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenlerin bir yan\u0131t de\u011fi\u015fkenine do\u011frusal olarak ba\u011flanmas\u0131na izin veren istatistiksel bir modeldir.<\/p>\n<p> Bu nedenle, iki veya daha fazla ba\u011f\u0131ms\u0131z de\u011fi\u015fkeni bir ba\u011f\u0131ml\u0131 de\u011fi\u015fkenle ili\u015fkilendiren bir denklem bulmak i\u00e7in \u00e7oklu do\u011frusal regresyon modeli kullan\u0131l\u0131r. B\u00f6ylece her ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin de\u011feri yerine koyularak ba\u011f\u0131ml\u0131 de\u011fi\u015fkenin de\u011ferine yakla\u015f\u0131k bir de\u011fer elde edilir.<\/p>\n<p> \u00d6rne\u011fin, y=3+6x <sub>1<\/sub> -4x <sub>2<\/sub> +7x <sub>3<\/sub> denklemi \u00e7oklu do\u011frusal regresyon modelidir \u00e7\u00fcnk\u00fc \u00fc\u00e7 ba\u011f\u0131ms\u0131z de\u011fi\u015fkeni (x <sub>1<\/sub> , x <sub>2<\/sub> , x <sub>3<\/sub> ) bir ba\u011f\u0131ml\u0131 de\u011fi\u015fken (y) do\u011frusal de\u011fer yolu ile matematiksel olarak ili\u015fkilendirir . <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-regresion-lineal-multiple\"><\/span> \u00c7oklu Do\u011frusal Regresyon Form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u00c7oklu do\u011frusal regresyon modelinin denklemi \u015f\u00f6yledir: y=\u03b2 <sub>0<\/sub> +\u03b2 <sub>1<\/sub> x <sub>1<\/sub> +\u03b2 <sub>2<\/sub> x <sub>2<\/sub> +\u2026+\u03b2 <sub>m<\/sub> x <sub>m<\/sub> +\u03b5.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fd3ba8386b5954b654ca555774108ac0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\beta_0+\\beta_1 x_1+\\beta_2 x_2+\\dots+\\beta_m x_m+\\varepsilon\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"305\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Alt\u0131n:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-38461fc041e953482219abf5d4cce1cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> ba\u011f\u0131ml\u0131 de\u011fi\u015fkendir.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> ba\u011f\u0131ms\u0131z de\u011fi\u015fken i&#8217;dir.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c5ba513cc7e504bc674f76afa70a3442_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\beta_0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"17\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u00e7oklu do\u011frusal regresyon denkleminin sabitidir.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ff540c55c6ee8f10a1dab8e2422947ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\beta_i\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"15\" style=\"vertical-align: -4px;\"><\/p>\n<p> de\u011fi\u015fkenle ili\u015fkili regresyon katsay\u0131s\u0131d\u0131r<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> .<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-29b8f7fac5f2df4b101dff63e95516c5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\varepsilon}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> Bu hata veya art\u0131kt\u0131r, yani g\u00f6zlemlenen de\u011fer ile model taraf\u0131ndan tahmin edilen de\u011fer aras\u0131ndaki farkt\u0131r.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fdc40b8ad1cdad0aab9d632215459d28_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> modeldeki de\u011fi\u015fkenlerin toplam say\u0131s\u0131d\u0131r.<\/li>\n<\/ul>\n<p> Toplamda bir \u00f6rne\u011fimiz varsa<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> g\u00f6zlemler i\u00e7in \u00e7oklu do\u011frusal regresyon modelini matris bi\u00e7iminde \u00f6nerebiliriz:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5848686c8ed0857f16e7e24e2a31024e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{pmatrix}y_1\\\\y_2\\\\\\vdots\\\\y_n\\end{pmatrix}=\\begin{pmatrix}1&amp;x_{11}&amp;\\dots&amp;x_{1m}\\\\1&amp;x_{21}&amp;\\dots&amp;x_{2m}\\\\ \\vdots&amp;\\vdots&amp;\\ddots&amp;\\vdots\\\\1&amp;x_{n1}&amp;\\dots&amp;x_{nm}\\end{pmatrix}\\cdot\\begin{pmatrix}\\beta_0\\\\\\beta_1\\\\\\vdots\\\\\\beta_m\\end{pmatrix}+\\begin{pmatrix}\\varepsilon_1\\\\\\varepsilon_2\\\\\\vdots\\\\\\varepsilon_n\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"96\" width=\"370\" style=\"vertical-align: -43px;\"><\/p>\n<\/p>\n<p> Yukar\u0131daki dizi ifadesi, her diziye bir harf atanarak yeniden yaz\u0131labilir:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7614ddbb78ced2e2b8b6c7642d9969c3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Y=X\\beta+\\varepsilon\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"95\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> B\u00f6ylece, en k\u00fc\u00e7\u00fck kareler kriterini uygulayarak <strong>\u00e7oklu do\u011frusal regresyon modelinin katsay\u0131lar\u0131n\u0131 tahmin etmeye y\u00f6nelik form\u00fcle<\/strong> ula\u015fmak m\u00fcmk\u00fcnd\u00fcr:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-b6ef097cee722e7355fa4eb77b7ea3e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{\\beta}=\\left(X^tX\\right)^{-1}X^tY\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"146\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> Ancak bu form\u00fcl\u00fcn uygulanmas\u0131 \u00e7ok zahmetli ve zaman al\u0131c\u0131d\u0131r, bu nedenle pratikte bir regresyon modelinin \u00e7ok daha h\u0131zl\u0131 \u00e7al\u0131\u015ft\u0131r\u0131lmas\u0131na olanak tan\u0131yan bilgisayar yaz\u0131l\u0131mlar\u0131n\u0131n (Minitab veya Excel gibi) kullan\u0131lmas\u0131 \u00f6nerilir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"supuestos-de-la-regresion-lineal-multiple\"><\/span> \u00c7oklu Do\u011frusal Regresyon Varsay\u0131mlar\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u00c7oklu do\u011frusal regresyon modelinde modelin ge\u00e7erli olabilmesi i\u00e7in a\u015fa\u011f\u0131daki ko\u015fullar\u0131n kar\u015f\u0131lanmas\u0131 gerekir:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Ba\u011f\u0131ms\u0131zl\u0131k<\/strong> : Kal\u0131nt\u0131lar birbirinden ba\u011f\u0131ms\u0131z olmal\u0131d\u0131r. Model ba\u011f\u0131ms\u0131zl\u0131\u011f\u0131n\u0131 sa\u011flaman\u0131n yayg\u0131n bir yolu \u00f6rnekleme s\u00fcrecine rastgelelik eklemektir.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Homoskedastisite<\/strong> : Art\u0131klar\u0131n varyanslar\u0131nda homojenlik olmal\u0131, yani art\u0131klar\u0131n de\u011fi\u015fkenli\u011fi sabit olmal\u0131d\u0131r.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u00c7oklu do\u011frusal olmama<\/strong> : Modelde yer alan a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenlerin birbirine ba\u011flanamamas\u0131 veya en az\u0131ndan ili\u015fkilerinin \u00e7ok zay\u0131f olmas\u0131 gerekir.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Normallik<\/strong> : Art\u0131klar\u0131n normal da\u011f\u0131lmas\u0131 veya ba\u015fka bir deyi\u015fle ortalamas\u0131 0 olan normal da\u011f\u0131l\u0131ma uymas\u0131 gerekir.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Do\u011frusall\u0131k<\/strong> : Yan\u0131t de\u011fi\u015fkeni ile a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenler aras\u0131ndaki ili\u015fkinin do\u011frusal oldu\u011fu varsay\u0131lmaktad\u0131r.<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"interpretacion-de-un-modelo-de-regresion-lineal-multiple\"><\/span> \u00c7oklu Do\u011frusal Regresyon Modelini Yorumlama<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u00c7oklu do\u011frusal regresyon modelini yorumlamak i\u00e7in<\/strong> regresyon modelinin a\u00e7\u0131klad\u0131\u011f\u0131 y\u00fczdeyi ifade eden belirleme katsay\u0131s\u0131na (R kare) bakmam\u0131z gerekir. Dolay\u0131s\u0131yla belirleme katsay\u0131s\u0131 ne kadar y\u00fcksek olursa, model \u00e7al\u0131\u015f\u0131lan veri \u00f6rne\u011fine o kadar fazla uyarlanacakt\u0131r. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/belirleme-katsayisi-r-kare\/\">Belirleme katsay\u0131s\u0131 (R kare)<\/a><\/div>\n<p> Ancak istatistiksel bir modelin uyum iyili\u011fi, \u00f6zellikle \u00e7oklu do\u011frusal regresyon modellerinde yan\u0131lt\u0131c\u0131 olabilir. \u00c7\u00fcnk\u00fc modele bir de\u011fi\u015fken eklenirken de\u011fi\u015fken anlaml\u0131 olmasa bile belirleme katsay\u0131s\u0131 artar. Ancak modelin daha az karma\u015f\u0131k olmas\u0131 ve yorumlanmas\u0131n\u0131n daha kolay olmas\u0131 nedeniyle de\u011fi\u015fken say\u0131s\u0131n\u0131 en aza indirmeye \u00e7al\u0131\u015farak belirleme katsay\u0131s\u0131n\u0131 en \u00fcst d\u00fczeye \u00e7\u0131karmak gerekir.<\/p>\n<p> Bu sorunu \u00e7\u00f6zmek i\u00e7in, bir regresyon modelinin uyum kalitesini \u00f6l\u00e7en, d\u00fczeltilmemi\u015f katsay\u0131dan farkl\u0131 olarak modele eklenen her de\u011fi\u015fken i\u00e7in ceza uygulayan istatistiksel bir katsay\u0131 olan d\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131n\u0131n (d\u00fczeltilmi\u015f R kare) hesaplanmas\u0131 gerekir. kararl\u0131l\u0131k. bu, modeldeki de\u011fi\u015fkenlerin say\u0131s\u0131n\u0131 hesaba katmaz.<\/p>\n<p> B\u00f6ylece d\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131, iki modelin uyum iyili\u011fini farkl\u0131 say\u0131da de\u011fi\u015fkenle kar\u015f\u0131la\u015ft\u0131rmam\u0131za olanak tan\u0131r. Prensip olarak d\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131 daha y\u00fcksek olan model se\u00e7ilmelidir, ancak iki model \u00e7ok benzer de\u011ferlere sahipse yorumlanmas\u0131 daha kolay oldu\u011fundan daha az de\u011fi\u015fkenli modelin se\u00e7ilmesi daha iyidir. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/duzeltilmis-belirleme-katsayisi-r-duzeltilmis-kare\/\">D\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131 (ayarlanm\u0131\u015f R-kare)<\/a><\/div>\n<p> Buna kar\u015f\u0131l\u0131k, regresyon katsay\u0131lar\u0131 a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken ile yan\u0131t de\u011fi\u015fkeni aras\u0131ndaki ili\u015fkiyi g\u00f6sterir. Regresyon katsay\u0131s\u0131 pozitif ise a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken artt\u0131k\u00e7a yan\u0131t de\u011fi\u015fkeni de artacakt\u0131r. oysa regresyon katsay\u0131s\u0131 negatifse a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken artt\u0131\u011f\u0131nda yan\u0131t de\u011fi\u015fkeni azalacakt\u0131r.<\/p>\n<p> Mant\u0131ksal olarak \u00f6nceki ko\u015fulun sa\u011flanmas\u0131 i\u00e7in di\u011fer de\u011fi\u015fkenlerin sabit kalmas\u0131 gerekir. Bu nedenle modelin farkl\u0131 a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenleri aras\u0131nda \u00e7oklu ba\u011flant\u0131 olmamas\u0131 \u00f6nemlidir. Web sitemizde ilgili makaleyi arayarak bir modelin \u00e7oklu do\u011frusall\u0131\u011f\u0131n\u0131n nas\u0131l incelendi\u011fini g\u00f6rebilirsiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"regresion-lineal-multiple-y-simple\"><\/span> \u00c7oklu ve basit do\u011frusal regresyon<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Son olarak basit do\u011frusal regresyon modeli ile \u00e7oklu do\u011frusal regresyon modeli aras\u0131ndaki farklar\u0131n neler oldu\u011funu g\u00f6rece\u011fiz \u00e7\u00fcnk\u00fc bunlar istatistikte yayg\u0131n olarak kullan\u0131lan iki regresyon modelidir.<\/p>\n<p> <strong>Basit do\u011frusal regresyon,<\/strong> ba\u011f\u0131ms\u0131z bir de\u011fi\u015fkeni ili\u015fkilendirmek i\u00e7in kullan\u0131lan bir regresyon modelidir. Yani basit bir do\u011frusal regresyon modelinin denklemi a\u015fa\u011f\u0131daki gibidir:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-84736ca4dce84a29289dfa6da60d0242_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\beta_0+\\beta_1x_1+\\varepsilon\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"138\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Bu nedenle <strong>\u00e7oklu do\u011frusal regresyon ile basit do\u011frusal regresyon aras\u0131ndaki fark,<\/strong> a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenlerin say\u0131s\u0131nda yatmaktad\u0131r. \u00c7oklu do\u011frusal regresyon modelinde iki veya daha fazla a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken bulunurken, basit do\u011frusal regresyon modelinde yaln\u0131zca bir a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken bulunur.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fd3ba8386b5954b654ca555774108ac0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\beta_0+\\beta_1 x_1+\\beta_2 x_2+\\dots+\\beta_m x_m+\\varepsilon\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"305\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Sonu\u00e7 olarak, \u00e7oklu do\u011frusal regresyon, basit do\u011frusal regresyonun bir uzant\u0131s\u0131d\u0131r, \u00e7\u00fcnk\u00fc daha fazla a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken ve bunlar\u0131n ilgili regresyon katsay\u0131lar\u0131 basit\u00e7e eklenir. Ancak regresyon katsay\u0131lar\u0131 farkl\u0131 \u015fekilde hesaplan\u0131r; bunun nas\u0131l yap\u0131ld\u0131\u011f\u0131n\u0131 g\u00f6rmek i\u00e7in buraya t\u0131klay\u0131n: <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/basit-dogrusal-regresyon\/\">Basit do\u011frusal regresyon<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Bu makale istatistikte \u00e7oklu do\u011frusal regresyonun ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. Ayr\u0131ca \u00e7oklu do\u011frusal regresyon modelinin nas\u0131l olu\u015fturulaca\u011f\u0131n\u0131 ve bunun nas\u0131l yorumlanaca\u011f\u0131n\u0131 \u00f6\u011freneceksiniz. \u00c7oklu do\u011frusal regresyon nedir? \u00c7oklu do\u011frusal regresyon, iki veya daha fazla ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin dahil edildi\u011fi bir regresyon modelidir. Ba\u015fka bir deyi\u015fle, \u00e7oklu do\u011frusal regresyon, \u00e7e\u015fitli a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenlerin bir yan\u0131t de\u011fi\u015fkenine do\u011frusal olarak ba\u011flanmas\u0131na izin [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-314","post","type-post","status-publish","format-standard","hentry","category-istatistik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7\u00c7oklu do\u011frusal regresyon<\/title>\n<meta name=\"description\" content=\"Burada \u00e7oklu do\u011frusal regresyonun ne oldu\u011funu, \u00e7oklu do\u011frusal regresyon modelinin (form\u00fcl\u00fcn\u00fcn) nas\u0131l yap\u0131ld\u0131\u011f\u0131n\u0131 ve nas\u0131l 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