{"id":318,"date":"2023-08-02T14:06:03","date_gmt":"2023-08-02T14:06:03","guid":{"rendered":"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/"},"modified":"2023-08-02T14:06:03","modified_gmt":"2023-08-02T14:06:03","slug":"dogrusal-regresyon-1","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/","title":{"rendered":"Do\u011frusal regresyon"},"content":{"rendered":"<p>Bu makalede do\u011frusal regresyonun ne oldu\u011fu ve istatistikte ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. Ek olarak, iki t\u00fcr do\u011frusal regresyonun nas\u0131l hesapland\u0131\u011f\u0131n\u0131 g\u00f6rebileceksiniz: basit do\u011frusal regresyon ve \u00e7oklu do\u011frusal regresyon.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-regresion-lineal\"><\/span> Do\u011frusal regresyon nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Do\u011frusal regresyon,<\/strong> bir veya daha fazla ba\u011f\u0131ms\u0131z de\u011fi\u015fkeni ba\u011f\u0131ml\u0131 bir de\u011fi\u015fkenle ili\u015fkilendiren istatistiksel bir modeldir. Basit\u00e7e s\u00f6ylemek gerekirse, do\u011frusal regresyon, bir veya daha fazla a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken ile bir yan\u0131t de\u011fi\u015fkeni aras\u0131ndaki ili\u015fkiye yakla\u015fan bir denklem bulmak i\u00e7in kullan\u0131lan bir tekniktir.<\/p>\n<p> \u00d6rne\u011fin, y=2+5x <sub>1<\/sub> -3x <sub>2<\/sub> +8x <sub>3<\/sub> denklemi do\u011frusal bir 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\u015fkenle (y) matematiksel olarak ili\u015fkilendirir ve ayr\u0131ca, de\u011fi\u015fkenler aras\u0131ndaki ili\u015fki do\u011frusald\u0131r.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tipos-de-regresion-lineal\"><\/span>Do\u011frusal Regresyon T\u00fcrleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0130ki <strong>t\u00fcr do\u011frusal regresyon<\/strong> vard\u0131r:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Basit do\u011frusal regresyon<\/strong> : Tek bir ba\u011f\u0131ms\u0131z de\u011fi\u015fken, ba\u011f\u0131ml\u0131 bir de\u011fi\u015fkene ba\u011flan\u0131r. Dolay\u0131s\u0131yla bu t\u00fcr do\u011frusal regresyon modelinin denklemi y=\u03b2 <sub>0<\/sub> +\u03b2 <sub>1<\/sub> x <sub>1<\/sub> bi\u00e7imindedir.<\/span><\/li>\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u00c7oklu do\u011frusal regresyon<\/strong> : Regresyon modelinde birka\u00e7 a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken ve bir yan\u0131t de\u011fi\u015fkeni bulunur. Bu nedenle, bu t\u00fcr do\u011frusal regresyon modelinin denklemi \u015fu \u015fekildedir: 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> .<\/span> <\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"regresion-lineal-simple\"><\/span> basit do\u011frusal regresyon<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Basit do\u011frusal regresyon,<\/strong> bir ba\u011f\u0131ms\u0131z de\u011fi\u015fkeni her iki de\u011fi\u015fkenle ili\u015fkilendirmek i\u00e7in kullan\u0131l\u0131r.<\/p>\n<p> Basit bir do\u011frusal regresyon modelinin denklemi d\u00fcz bir \u00e7izgidir, dolay\u0131s\u0131yla iki katsay\u0131dan olu\u015fur: denklemin sabiti (\u03b2 <sub>0<\/sub> ) ve iki de\u011fi\u015fken aras\u0131ndaki korelasyon katsay\u0131s\u0131 (\u03b2 <sub>1<\/sub> ). Bu nedenle, basit bir do\u011frusal regresyon modelinin denklemi y=\u03b2 <sub>0<\/sub> +\u03b2 <sub>1<\/sub> x&#8217;tir.<\/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-83e43f626a469e9de3d5ecfed9a216ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\beta_0+\\beta_1x\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"100\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> <strong>Basit do\u011frusal regresyon katsay\u0131lar\u0131n\u0131 hesaplamak i\u00e7in form\u00fcller<\/strong> 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-459281504d26f92756115054ef567021_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\beta_1=\\cfrac{\\displaystyle \\sum_{i=1}^n (x_i-\\overline{x})(y_i-\\overline{y})}{\\displaystyle \\sum_{i=1}^n (x_i-\\overline{x})^2}\\\\[12ex]\\beta_0=\\overline{y}-\\beta_1\\overline{x}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"176\" width=\"192\" style=\"vertical-align: 0px;\"><\/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-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> regresyon \u00e7izgisinin 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-dff50ab66b848b910ea781069cba1094_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\beta_1\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"16\" style=\"vertical-align: -4px;\"><\/p>\n<p> regresyon \u00e7izgisinin e\u011fimidir.<\/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> i verisinin ba\u011f\u0131ms\u0131z de\u011fi\u015fkeni X&#8217;in de\u011feridir.<\/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-761333a1d61654bd1cb5c7224b0d1994_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y_i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: -4px;\"><\/p>\n<p> i verisinin ba\u011f\u0131ml\u0131 de\u011fi\u015fkeni Y&#8217;nin de\u011feridir.<\/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-a39858a792fb4fe9a3173e004701f2a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin de\u011ferlerinin ortalamas\u0131d\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-ed5becac4ccb36fec040f449ba9fa52d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{y}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p> ba\u011f\u0131ml\u0131 de\u011fi\u015fken Y&#8217;nin de\u011ferlerinin ortalamas\u0131d\u0131r. <\/li>\n<\/ul>\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 regresyonun somut \u00f6rne\u011fi<\/a> <\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"regresion-lineal-multiple\"><\/span> \u00c7oklu do\u011frusal gerileme<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u00c7oklu do\u011frusal regresyon<\/strong> modelinde en az iki ba\u011f\u0131ms\u0131z de\u011fi\u015fken yer al\u0131r. Ba\u015fka bir deyi\u015fle, \u00e7oklu do\u011frusal regresyon, bir\u00e7ok a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenin bir yan\u0131t de\u011fi\u015fkenine do\u011frusal olarak ba\u011flanmas\u0131na olanak tan\u0131r.<\/p>\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> 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\u00f6zlemlere dayanarak \u00e7oklu do\u011frusal regresyon modelini matris bi\u00e7iminde ortaya koyabiliriz:<\/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 matris ifadesi, her matrise 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 etmek i\u00e7in form\u00fcle<\/strong> ula\u015fabiliriz:<\/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 \u00e7oklu regresyon modelinin \u00e7ok daha h\u0131zl\u0131 olu\u015fturulmas\u0131na olanak tan\u0131yan bilgisayar yaz\u0131l\u0131mlar\u0131n\u0131n (Minitab veya Excel gibi) kullan\u0131lmas\u0131 tavsiye edilir. <\/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\/coklu-dogrusal-regresyon-1\/\">\u00c7oklu do\u011frusal regresyon modelini yorumlama<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"supuestos-de-la-regresion-lineal\"><\/span> Do\u011frusal Regresyon Varsay\u0131mlar\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> 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=\"%c2%bfpara-que-sirve-la-regresion-lineal\"><\/span> Do\u011frusal regresyon ne i\u00e7in kullan\u0131l\u0131r?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Do\u011frusal regresyonun temel olarak iki kullan\u0131m\u0131 vard\u0131r: A\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenler ile yan\u0131t de\u011fi\u015fkeni aras\u0131ndaki ili\u015fkiyi a\u00e7\u0131klamak i\u00e7in do\u011frusal regresyon kullan\u0131l\u0131r ve benzer \u015fekilde, yeni bir g\u00f6zlem i\u00e7in ba\u011f\u0131ml\u0131 de\u011fi\u015fkenin de\u011ferini tahmin etmek i\u00e7in do\u011frusal regresyon kullan\u0131l\u0131r.<\/p>\n<p> Do\u011frusal regresyon modelinin denklemini elde ederek modeldeki de\u011fi\u015fkenler aras\u0131nda ne t\u00fcr bir ili\u015fkinin bulundu\u011funu bilebiliriz. Bir ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin regresyon katsay\u0131s\u0131 pozitif ise ba\u011f\u0131ml\u0131 de\u011fi\u015fken artt\u0131\u011f\u0131nda artacakt\u0131r. oysa ba\u011f\u0131ms\u0131z bir de\u011fi\u015fkenin regresyon katsay\u0131s\u0131 negatifse ba\u011f\u0131ml\u0131 de\u011fi\u015fken artt\u0131\u011f\u0131nda azalacakt\u0131r.<\/p>\n<p> \u00d6te yandan do\u011frusal regresyonda hesaplanan denklem ayn\u0131 zamanda de\u011fer tahminleri yap\u0131lmas\u0131na da olanak sa\u011flar. B\u00f6ylece a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenlerin de\u011ferlerini model denklemine dahil ederek yeni bir veri par\u00e7as\u0131 i\u00e7in ba\u011f\u0131ml\u0131 de\u011fi\u015fkenin de\u011ferini hesaplayabiliriz.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede do\u011frusal regresyonun ne oldu\u011fu ve istatistikte ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. Ek olarak, iki t\u00fcr do\u011frusal regresyonun nas\u0131l hesapland\u0131\u011f\u0131n\u0131 g\u00f6rebileceksiniz: basit do\u011frusal regresyon ve \u00e7oklu do\u011frusal regresyon. Do\u011frusal regresyon nedir? Do\u011frusal regresyon, bir veya daha fazla ba\u011f\u0131ms\u0131z de\u011fi\u015fkeni ba\u011f\u0131ml\u0131 bir de\u011fi\u015fkenle ili\u015fkilendiren istatistiksel bir modeldir. Basit\u00e7e s\u00f6ylemek gerekirse, do\u011frusal regresyon, bir veya daha fazla [&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-318","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 Do\u011frusal regresyon<\/title>\n<meta name=\"description\" content=\"Burada do\u011frusal regresyonun ne oldu\u011funu, do\u011frusal regresyon t\u00fcrlerini (tekli ve \u00e7oklu do\u011frusal regresyon) ve do\u011frusal regresyon form\u00fcllerini bulacaks\u0131n\u0131z.\" \/>\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\/dogrusal-regresyon-1\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Do\u011frusal regresyon\" \/>\n<meta property=\"og:description\" content=\"Burada do\u011frusal regresyonun ne oldu\u011funu, do\u011frusal regresyon t\u00fcrlerini (tekli ve \u00e7oklu do\u011frusal regresyon) ve do\u011frusal regresyon form\u00fcllerini bulacaks\u0131n\u0131z.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-02T14:06:03+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-83e43f626a469e9de3d5ecfed9a216ac_l3.png\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/\",\"url\":\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/\",\"name\":\"\u25b7 Do\u011frusal regresyon\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-08-02T14:06:03+00:00\",\"dateModified\":\"2023-08-02T14:06:03+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Burada do\u011frusal regresyonun ne oldu\u011funu, do\u011frusal regresyon t\u00fcrlerini (tekli ve \u00e7oklu do\u011frusal regresyon) ve do\u011frusal regresyon form\u00fcllerini bulacaks\u0131n\u0131z.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Do\u011frusal regresyon\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. Daha fazlas\u0131n\u0131 bil\",\"sameAs\":[\"https:\/\/statorials.org\/tr\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u25b7 Do\u011frusal regresyon","description":"Burada do\u011frusal regresyonun ne oldu\u011funu, do\u011frusal regresyon t\u00fcrlerini (tekli ve \u00e7oklu do\u011frusal regresyon) ve do\u011frusal regresyon form\u00fcllerini bulacaks\u0131n\u0131z.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/","og_locale":"tr_TR","og_type":"article","og_title":"\u25b7 Do\u011frusal regresyon","og_description":"Burada do\u011frusal regresyonun ne oldu\u011funu, do\u011frusal regresyon t\u00fcrlerini (tekli ve \u00e7oklu do\u011frusal regresyon) ve do\u011frusal regresyon form\u00fcllerini bulacaks\u0131n\u0131z.","og_url":"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/","og_site_name":"Statorials","article_published_time":"2023-08-02T14:06:03+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-83e43f626a469e9de3d5ecfed9a216ac_l3.png"}],"author":"Dr.benjamin anderson","twitter_card":"summary_large_image","twitter_misc":{"Yazan:":"Dr.benjamin anderson","Tahmini okuma s\u00fcresi":"5 dakika"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/","url":"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/","name":"\u25b7 Do\u011frusal regresyon","isPartOf":{"@id":"https:\/\/statorials.org\/tr\/#website"},"datePublished":"2023-08-02T14:06:03+00:00","dateModified":"2023-08-02T14:06:03+00:00","author":{"@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48"},"description":"Burada do\u011frusal regresyonun ne oldu\u011funu, do\u011frusal regresyon t\u00fcrlerini (tekli ve \u00e7oklu do\u011frusal regresyon) ve do\u011frusal regresyon form\u00fcllerini bulacaks\u0131n\u0131z.","breadcrumb":{"@id":"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/#breadcrumb"},"inLanguage":"tr","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Ev","item":"https:\/\/statorials.org\/tr\/"},{"@type":"ListItem","position":2,"name":"Do\u011frusal regresyon"}]},{"@type":"WebSite","@id":"https:\/\/statorials.org\/tr\/#website","url":"https:\/\/statorials.org\/tr\/","name":"Statorials","description":"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/statorials.org\/tr\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"tr"},{"@type":"Person","@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48","name":"Dr.benjamin anderson","image":{"@type":"ImageObject","inLanguage":"tr","@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/","url":"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","contentUrl":"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","caption":"Dr.benjamin anderson"},"description":"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. Daha fazlas\u0131n\u0131 bil","sameAs":["https:\/\/statorials.org\/tr"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/318","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/comments?post=318"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/318\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/media?parent=318"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/categories?post=318"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/tags?post=318"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}