{"id":326,"date":"2023-08-02T11:12:20","date_gmt":"2023-08-02T11:12:20","guid":{"rendered":"https:\/\/statorials.org\/tr\/regresyon-analizi\/"},"modified":"2023-08-02T11:12:20","modified_gmt":"2023-08-02T11:12:20","slug":"regresyon-analizi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/regresyon-analizi\/","title":{"rendered":"Regresyon analizi"},"content":{"rendered":"<p>Bu makalede regresyon analizinin ne oldu\u011fu ve istatistikte ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. Ek olarak, farkl\u0131 regresyon analizi t\u00fcrlerinin neler oldu\u011funu g\u00f6rebileceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-analisis-de-regresion\"><\/span> Regresyon analizi nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0130statistikte <strong>regresyon analizi<\/strong> , iki veya daha fazla de\u011fi\u015fken aras\u0131ndaki ili\u015fkinin incelendi\u011fi bir s\u00fcre\u00e7tir. Daha spesifik olarak regresyon analizi, \u00e7al\u0131\u015fmadaki de\u011fi\u015fkenleri matematiksel olarak ili\u015fkilendiren bir denklemin hesaplanmas\u0131n\u0131 i\u00e7erir.<\/p>\n<p> Regresyon analizinde olu\u015fturulan modele regresyon modeli, incelenen de\u011fi\u015fkenleri ili\u015fkilendiren denkleme ise regresyon denklemi denir.<\/p>\n<p> \u00d6rne\u011fin bir \u00fclkenin enflasyonu ile GSYH aras\u0131ndaki ili\u015fkiyi incelemek istiyorsan\u0131z iki de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi analiz etmek i\u00e7in regresyon analizi yapabilirsiniz. Bu durumda regresyon analizinden elde edilen denklem bir regresyon do\u011frusu olacakt\u0131r. <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ligne-de-regression.png\" alt=\"regresyon analizi\" class=\"wp-image-6708\" width=\"274\" height=\"256\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> Dolay\u0131s\u0131yla bir regresyon analizi, bir veri \u00f6rne\u011finin toplanmas\u0131ndan olu\u015fur ve toplanan verilerden, incelenen de\u011fi\u015fkenlerin matematiksel olarak ili\u015fkilendirilmesine olanak tan\u0131yan bir denklem hesaplan\u0131r.<\/p>\n<p> Regresyon analizlerinde, regresyon modeline dahil edilebilecek iki t\u00fcr de\u011fi\u015fken aras\u0131nda ayr\u0131m yapmak \u00f6nemlidir:<\/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\u0131ml\u0131 de\u011fi\u015fken (veya tepki de\u011fi\u015fkeni)<\/strong> : analiz etmek istedi\u011fimiz fakt\u00f6r budur, dolay\u0131s\u0131yla bu de\u011fi\u015fkenin de\u011ferinin di\u011fer de\u011fi\u015fkenlerin de\u011ferine ba\u011fl\u0131 olarak nas\u0131l de\u011fi\u015fti\u011fini g\u00f6rmek i\u00e7in bir regresyon modeli olu\u015fturulacakt\u0131r.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Ba\u011f\u0131ms\u0131z de\u011fi\u015fken (veya a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken)<\/strong> : Analiz etmek istedi\u011fimiz de\u011fi\u015fkeni etkileyebilece\u011fini d\u00fc\u015f\u00fcnd\u00fc\u011f\u00fcm\u00fcz bir fakt\u00f6rd\u00fcr. Yani ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin de\u011feri ba\u011f\u0131ml\u0131 de\u011fi\u015fkenin de\u011ferini etkiler.<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tipos-de-analisis-de-regresion\"><\/span> Regresyon Analizi T\u00fcrleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Temel olarak \u00fc\u00e7 <strong>t\u00fcr regresyon analizi<\/strong> vard\u0131r:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Basit Do\u011frusal Regresyon Analizi<\/strong> : Regresyon modelinde bir ba\u011f\u0131ms\u0131z de\u011fi\u015fken bir de ba\u011f\u0131ml\u0131 de\u011fi\u015fken bulunur ve bunlar do\u011frusal olarak ili\u015fkilidir.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u00c7oklu do\u011frusal regresyon analizi<\/strong> : iki veya daha fazla ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin bir ba\u011f\u0131ml\u0131 de\u011fi\u015fkenle do\u011frusal olarak ili\u015fkili olmas\u0131.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Do\u011frusal olmayan regresyon analizi<\/strong> : Ba\u011f\u0131ms\u0131z de\u011fi\u015fken ile ba\u011f\u0131ml\u0131 de\u011fi\u015fken aras\u0131ndaki ili\u015fki, do\u011frusal olmayan bir fonksiyon kullan\u0131larak modellenir.<\/span> <\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"analisis-de-regresion-lineal-simple\"><\/span> Basit do\u011frusal regresyon analizi<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Basit do\u011frusal regresyon,<\/strong> ba\u011f\u0131ms\u0131z bir de\u011fi\u015fkeni do\u011frusal bir denklem kullanarak 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 regresyonun 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 regresyon<\/a> <\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"analisis-de-regresion-lineal-multiple\"><\/span> \u00c7oklu do\u011frusal regresyon analizi<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. Bu nedenle \u00e7oklu do\u011frusal regresyon modelinin denklemi \u015fu \u015fekildedir:<\/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<\/a> <\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"analisis-de-regresion-no-lineal\"><\/span> Do\u011frusal olmayan regresyon analizi<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u0130statistikte <strong>do\u011frusal olmayan regresyon<\/strong> , regresyon denkleminin modeli olarak do\u011frusal olmayan bir fonksiyonun kullan\u0131ld\u0131\u011f\u0131 bir regresyon t\u00fcr\u00fcd\u00fcr. Bu nedenle do\u011frusal olmayan bir regresyon modelinin denklemi do\u011frusal olmayan bir fonksiyondur.<\/p>\n<p> Mant\u0131ksal olarak, iki de\u011fi\u015fken aras\u0131ndaki ili\u015fki do\u011frusal olmad\u0131\u011f\u0131nda ba\u011f\u0131ms\u0131z de\u011fi\u015fkeni ba\u011f\u0131ml\u0131 de\u011fi\u015fkenle ili\u015fkilendirmek i\u00e7in do\u011frusal olmayan regresyon kullan\u0131l\u0131r. Dolay\u0131s\u0131yla, \u00f6rnek verilerin grafi\u011fini \u00e7izerken bunlar\u0131n do\u011frusal bir ili\u015fkiye sahip olmad\u0131\u011f\u0131n\u0131, yani yakla\u015f\u0131k olarak d\u00fcz bir \u00e7izgi olu\u015fturmad\u0131\u011f\u0131n\u0131 g\u00f6zlemlersek, &#8216;do\u011frusal olmayan bir regresyon modeli kullanmak&#8217; daha iyidir.<\/p>\n<p> \u00d6rne\u011fin, y=3-5x-8x <sup>2<\/sup> +x <sup>3<\/sup> denklemi do\u011frusal olmayan bir regresyon modelidir \u00e7\u00fcnk\u00fc ba\u011f\u0131ms\u0131z de\u011fi\u015fken X&#8217;i k\u00fcbik bir fonksiyon arac\u0131l\u0131\u011f\u0131yla matematiksel olarak ba\u011f\u0131ml\u0131 de\u011fi\u015fken Y ile ili\u015fkilendirir.<\/p>\n<p> Temel olarak \u00fc\u00e7 <strong>t\u00fcr do\u011frusal olmayan regresyon<\/strong> vard\u0131r:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Polinom Regresyon<\/strong> \u2013 Denklemi polinom bi\u00e7iminde olan do\u011frusal olmayan regresyon.<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0b684a8af5be9015ef551c6013756a29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\beta_0+\\beta_1 x+\\beta_2 x^2+\\beta_3 x^3+\\dots+\\beta_m x^m\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"324\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Logaritmik Regresyon<\/strong> \u2013 Ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin logaritmik hale getirildi\u011fi do\u011frusal olmayan regresyon.<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-54ceab784abf0ace94d994be655104ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\beta_0+\\beta_1\\cdot \\ln(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"141\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u00dcstel Regresyon<\/strong> \u2013 Ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin denklemin \u00fcss\u00fcnde bulundu\u011fu do\u011frusal olmayan regresyon.<\/span> <\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3718ef8d7502decf6f62fb5c9fdded80_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\beta_0\\cdot e^{\\beta_1\\cdot x}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"98\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\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\/dogrusal-olmayan-regresyon\/\">Do\u011frusal olmayan regresyon<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfpara-que-sirve-el-analisis-de-regresion\"><\/span> Regresyon analizi ne i\u00e7in kullan\u0131l\u0131r?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Regresyon analizinin temel olarak iki kullan\u0131m\u0131 vard\u0131r: Regresyon analizi, a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenler ile yan\u0131t de\u011fi\u015fkeni aras\u0131ndaki ili\u015fkiyi a\u00e7\u0131klamak i\u00e7in kullan\u0131l\u0131r ve benzer \u015fekilde, regresyon analizi, yeni bir g\u00f6zlem i\u00e7in ba\u011f\u0131ml\u0131 de\u011fi\u015fkenin de\u011ferini tahmin etmek i\u00e7in kullan\u0131l\u0131r.<\/p>\n<p> 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 regresyon analizinden elde edilen matematiksel denklem ayn\u0131 zamanda de\u011fer tahminleri yapmam\u0131za da olanak sa\u011flar. B\u00f6ylece a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenlerin de\u011ferlerini regresyon modelinin 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 regresyon analizinin ne oldu\u011fu ve istatistikte ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. Ek olarak, farkl\u0131 regresyon analizi t\u00fcrlerinin neler oldu\u011funu g\u00f6rebileceksiniz. Regresyon analizi nedir? \u0130statistikte regresyon analizi , iki veya daha fazla de\u011fi\u015fken aras\u0131ndaki ili\u015fkinin incelendi\u011fi bir s\u00fcre\u00e7tir. Daha spesifik olarak regresyon analizi, \u00e7al\u0131\u015fmadaki de\u011fi\u015fkenleri matematiksel olarak ili\u015fkilendiren bir denklemin hesaplanmas\u0131n\u0131 i\u00e7erir. Regresyon analizinde olu\u015fturulan [&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-326","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 Regresyon analizi<\/title>\n<meta name=\"description\" content=\"Burada istatistikte regresyon analizinin ne oldu\u011funu, ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131n\u0131 ve farkl\u0131 regresyon analizi t\u00fcrlerinin neler oldu\u011funu \u00f6\u011freneceksiniz.\" \/>\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\/regresyon-analizi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Regresyon analizi\" \/>\n<meta property=\"og:description\" content=\"Burada istatistikte regresyon analizinin ne oldu\u011funu, ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131n\u0131 ve farkl\u0131 regresyon analizi t\u00fcrlerinin neler oldu\u011funu \u00f6\u011freneceksiniz.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/regresyon-analizi\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-02T11:12:20+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ligne-de-regression.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=\"6 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/regresyon-analizi\/\",\"url\":\"https:\/\/statorials.org\/tr\/regresyon-analizi\/\",\"name\":\"\u25b7 Regresyon analizi\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-08-02T11:12:20+00:00\",\"dateModified\":\"2023-08-02T11:12:20+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Burada istatistikte regresyon analizinin ne oldu\u011funu, ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131n\u0131 ve farkl\u0131 regresyon analizi t\u00fcrlerinin neler oldu\u011funu \u00f6\u011freneceksiniz.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/regresyon-analizi\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/regresyon-analizi\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/regresyon-analizi\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Regresyon analizi\"}]},{\"@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. 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