{"id":323,"date":"2023-08-02T12:28:02","date_gmt":"2023-08-02T12:28:02","guid":{"rendered":"https:\/\/statorials.org\/tr\/ustel-regresyon\/"},"modified":"2023-08-02T12:28:02","modified_gmt":"2023-08-02T12:28:02","slug":"ustel-regresyon","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/ustel-regresyon\/","title":{"rendered":"\u00dcstel regresyon"},"content":{"rendered":"<p>Bu makale istatistikte \u00fcstel regresyonun ne oldu\u011funu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131n\u0131 a\u00e7\u0131klamaktad\u0131r. Ayr\u0131ca \u00fcstel regresyonun nas\u0131l yap\u0131ld\u0131\u011f\u0131n\u0131 ve bu t\u00fcr regresyonun bir \u00f6rne\u011fini \u00f6\u011freneceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-regresion-exponencial\"><\/span> \u00dcstel regresyon nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u00dcstel regresyon,<\/strong> denklemi \u00fcstel fonksiyon bi\u00e7iminde olan bir regresyon modelidir. Bu nedenle \u00fcstel regresyonda ba\u011f\u0131ms\u0131z de\u011fi\u015fken ve ba\u011f\u0131ml\u0131 de\u011fi\u015fken \u00fcstel bir denklemle ili\u015fkilidir.<\/p>\n<p> \u00dcstel regresyon modelinin denklemi y=ae <sup>bx&#8217;dir<\/sup> . Yani \u00fcstel regresyon modelinin denklemi iki sabite (a ve b) sahiptir ve ba\u011f\u0131ms\u0131z de\u011fi\u015fken e say\u0131s\u0131n\u0131n \u00fcss\u00fcndedir (e=2,718).<\/p>\n<p> \u00d6rne\u011fin, y=5e <sup>2x<\/sup> denklemi \u00fcstel bir regresyon modelidir \u00e7\u00fcnk\u00fc ba\u011f\u0131ms\u0131z de\u011fi\u015fken X&#8217;i ba\u011f\u0131ml\u0131 de\u011fi\u015fken Y ile \u00fcstel olarak ili\u015fkilendirir.<\/p>\n<p> \u00dcstel regresyon, logaritmik regresyon ve polinom regresyonla birlikte do\u011frusal olmayan bir regresyon t\u00fcr\u00fcd\u00fcr. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-regresion-exponencial\"><\/span> \u00fcstel regresyon form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u00dcstel regresyon modelinin denkleminin form\u00fcl\u00fc y=ae <sup>bx&#8217;dir<\/sup> . Bu nedenle, \u00fcstel regresyon denkleminde, e say\u0131s\u0131yla \u00e7arp\u0131lan bir katsay\u0131 (a) ve ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin \u00fcstel \u00e7arp\u0131m\u0131nda ba\u015fka bir katsay\u0131 (b) bulunur.<\/p>\n<p> Yani <strong>\u00fcstel regresyon form\u00fcl\u00fc<\/strong> \u015f\u00f6yledir:<\/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-82042bf363eb73da7731f91e1e10d498_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=a\\cdot e^{b\\cdot x}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"81\" 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-7e5fbfa0bbbd9f3051cd156a0f1b5e31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> ba\u011f\u0131ms\u0131z 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-968cb9a45b5c3a79cc29326ff362955b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a,b\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"25\" style=\"vertical-align: -4px;\"><\/p>\n<p> regresyon katsay\u0131lar\u0131d\u0131r. <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-un-modelo-de-regresion-exponencial\"><\/span> \u00dcstel regresyon modeli \u00f6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Mant\u0131ksal olarak nokta grafi\u011finin \u00fcstel fonksiyon formunda olmas\u0131 yani grafikteki noktalar\u0131n giderek daha h\u0131zl\u0131 b\u00fcy\u00fcmesi durumunda \u00fcstel regresyon modelinin uygulanmas\u0131 gerekir. Bu durumda \u00fcstel regresyon modeli, do\u011frusal regresyon modelinden daha uygun olacakt\u0131r.<\/p>\n<p> Bir veri \u00f6rne\u011finin \u00e7izildi\u011fi a\u015fa\u011f\u0131daki grafi\u011fe bak\u0131n. G\u00f6rd\u00fc\u011f\u00fcn\u00fcz gibi grafik \u00fcstel bir e\u011fri ve dolay\u0131s\u0131yla regresyon \u00e7izgisi veri setine pek uymuyor. <\/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\/expression-rationnelle-f.png\" alt=\"\" class=\"wp-image-7000\" width=\"411\" height=\"280\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> Bu nedenle istatistiksel veri setine \u00fcstel bir regresyon modeli yerle\u015ftirmeye \u00e7al\u0131\u015faca\u011f\u0131z. Regresyon sonras\u0131nda elde edilen model a\u015fa\u011f\u0131daki gibidir: <\/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\/exemple-regression-exponentielle.png\" alt=\"\u00fcstel regresyon \u00f6rne\u011fi\" class=\"wp-image-7001\" width=\"442\" height=\"301\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> Yukar\u0131daki grafikte g\u00f6rebilece\u011finiz gibi \u00fcstel regresyon modeli verilere \u00e7ok daha iyi uyum sa\u011fl\u0131yor. Ger\u00e7ekten de belirleme katsay\u0131s\u0131 \u00f6nemli \u00f6l\u00e7\u00fcde iyile\u015ferek %72,95&#8217;ten %93,56&#8217;ya \u00e7\u0131kt\u0131. Sonu\u00e7 olarak, bu durumda verilere uyan bir denklem bulmak i\u00e7in \u00fcstel regresyon modelini kullanmak en iyisidir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"otros-tipos-de-regresion-no-lineal\"><\/span> Di\u011fer do\u011frusal olmayan regresyon t\u00fcrleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Temel olarak \u00fc\u00e7 t\u00fcr do\u011frusal olmayan regresyon 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>Logaritmik regresyon<\/strong> : Ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin logaritmas\u0131 al\u0131n\u0131r.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u00dcstel Regresyon<\/strong> : Ba\u011f\u0131ms\u0131z de\u011fi\u015fken denklemin \u00fcss\u00fcnde bulunur.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Polinom Regresyon<\/strong> \u2013 Regresyon modeli denklemi bir polinom bi\u00e7imindedir.<\/span> <\/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\/logaritmik-regresyon\/\">Logaritmik regresyon<\/a><br \/> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/polinom-regresyonu-1\/\">Polinom regresyon<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Bu makale istatistikte \u00fcstel regresyonun ne oldu\u011funu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131n\u0131 a\u00e7\u0131klamaktad\u0131r. Ayr\u0131ca \u00fcstel regresyonun nas\u0131l yap\u0131ld\u0131\u011f\u0131n\u0131 ve bu t\u00fcr regresyonun bir \u00f6rne\u011fini \u00f6\u011freneceksiniz. \u00dcstel regresyon nedir? \u00dcstel regresyon, denklemi \u00fcstel fonksiyon bi\u00e7iminde olan bir regresyon modelidir. Bu nedenle \u00fcstel regresyonda ba\u011f\u0131ms\u0131z de\u011fi\u015fken ve ba\u011f\u0131ml\u0131 de\u011fi\u015fken \u00fcstel bir denklemle ili\u015fkilidir. \u00dcstel regresyon modelinin denklemi y=ae [&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-323","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 \u00dcstel regresyon<\/title>\n<meta name=\"description\" content=\"Burada \u00fcstel regresyonun ne oldu\u011funu, \u00fcstel regresyonun (form\u00fcl) nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini ve \u00fcstel regresyonun bir \u00f6rne\u011fini \u00f6\u011freneceksiniz.\" \/>\n<meta name=\"robots\" content=\"index, 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