{"id":574,"date":"2023-07-29T11:17:52","date_gmt":"2023-07-29T11:17:52","guid":{"rendered":"https:\/\/statorials.org\/tr\/kok-ortalama-kare-excel-hatasi\/"},"modified":"2023-07-29T11:17:52","modified_gmt":"2023-07-29T11:17:52","slug":"kok-ortalama-kare-excel-hatasi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/kok-ortalama-kare-excel-hatasi\/","title":{"rendered":"Excel&#39;de ortalama karek\u00f6k hatas\u0131 (rmse) nas\u0131l hesaplan\u0131r?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistikte regresyon analizi , yorday\u0131c\u0131 de\u011fi\u015fken x ile yan\u0131t de\u011fi\u015fkeni y aras\u0131ndaki ili\u015fkiyi anlamak i\u00e7in kulland\u0131\u011f\u0131m\u0131z bir tekniktir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Regresyon analizi yapt\u0131\u011f\u0131m\u0131zda, yorday\u0131c\u0131 de\u011fi\u015fkenin de\u011ferine ba\u011fl\u0131 olarak bize yan\u0131t de\u011fi\u015fkeninin tahmin edilen de\u011ferini s\u00f6yleyen bir model elde ederiz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Modelimizin belirli bir veri k\u00fcmesine ne kadar iyi uydu\u011funu de\u011ferlendirmenin bir yolu, tahmin edilen de\u011ferlerimizin g\u00f6zlemlenen de\u011ferlerimizden ortalama olarak ne kadar uzakta oldu\u011funu bize s\u00f6yleyen bir \u00f6l\u00e7\u00fcm olan <strong>ortalama karesel hatan\u0131n<\/strong> hesaplanmas\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha yayg\u0131n olarak <strong>RMSE<\/strong> olarak bilinen ortalama kare hatas\u0131n\u0131 bulma form\u00fcl\u00fc \u015f\u00f6yledir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>RMSE<\/strong> = \u221a[ \u03a3(P <sub>ben<\/sub> \u2013 \u00d6 <sub>ben<\/sub> ) <sup>2<\/sup> \/ n ]<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u03a3 &#8220;toplam&#8221; anlam\u0131na gelen s\u00fcsl\u00fc bir sembold\u00fcr<\/span><\/li>\n<li> <span style=\"color: #000000;\">P <sub>i<\/sub> , veri k\u00fcmesindeki <sup>i&#8217;inci<\/sup> g\u00f6zlem i\u00e7in tahmin edilen de\u011ferdir<\/span><\/li>\n<li> <span style=\"color: #000000;\"><sub>Oi<\/sub> veri k\u00fcmesindeki <sup>i&#8217;inci<\/sup> g\u00f6zlem i\u00e7in g\u00f6zlemlenen de\u011ferdir<\/span><\/li>\n<li> <span style=\"color: #000000;\">n \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcd\u00fcr<\/span><\/li>\n<\/ul>\n<blockquote>\n<p> <span style=\"color: #000000;\"><b>Teknik<\/b><\/span> notlar <strong style=\"color: #000000;\">:<\/strong><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ortalama kare hatas\u0131, tahmin edilen de\u011ferleri \u00fcreten herhangi bir model t\u00fcr\u00fc i\u00e7in hesaplanabilir ve bu daha sonra bir veri setinin g\u00f6zlemlenen de\u011ferleriyle kar\u015f\u0131la\u015ft\u0131r\u0131labilir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Ortalama kare hatas\u0131 bazen ortalama kare sapma olarak da adland\u0131r\u0131l\u0131r ve genellikle RMSD olarak k\u0131salt\u0131l\u0131r.<\/span><\/li>\n<\/ul>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">Daha sonra, Excel&#8217;de ortalama kare hatas\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131na dair bir \u00f6rne\u011fe bakal\u0131m.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Excel&#8217;de Ortalama Kare Hatas\u0131 Nas\u0131l Hesaplan\u0131r?<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Excel&#8217;de RMSE&#8217;yi hesaplamak i\u00e7in yerle\u015fik bir i\u015flev yoktur, ancak bunu tek bir form\u00fclle olduk\u00e7a kolay bir \u015fekilde hesaplayabiliriz. \u0130ki farkl\u0131 senaryo i\u00e7in RMSE&#8217;nin nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterece\u011fiz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Senaryo 1<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir senaryoda, modelinizden tahmin edilen de\u011ferleri i\u00e7eren bir s\u00fctuna ve g\u00f6zlemlenen de\u011ferleri i\u00e7eren ba\u015fka bir s\u00fctuna sahip olabilirsiniz. A\u015fa\u011f\u0131daki resimde bu senaryonun bir \u00f6rne\u011fi g\u00f6sterilmektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5171 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/rmse1.png\" alt=\"G\u00f6zlemlenen ve tahmin edilen de\u011ferler i\u00e7in Excel'de RMSE'yi hesaplama \u00f6rne\u011fi\" width=\"528\" height=\"576\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u00d6yleyse, a\u015fa\u011f\u0131daki form\u00fcl\u00fc herhangi bir h\u00fccreye yaz\u0131p CTRL+SHIFT+ENTER tu\u015flar\u0131na basarak RMSE&#8217;yi hesaplayabilirsiniz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>=KARE(TOPLA(A2:A21-B2:B21) \/ SAYIM(A2:A21))<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5174 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/rmse2.png\" alt=\"Excel'de Ortalama Kare Hatay\u0131 Hesaplama \u00d6rne\u011fi\" width=\"530\" height=\"459\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu bize ortalama kare hatas\u0131n\u0131n <strong>2,6646<\/strong> oldu\u011funu s\u00f6yler.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5177 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/rmse3.png\" alt=\"Excel'de RMSE hesaplamas\u0131\" width=\"531\" height=\"438\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Form\u00fcl biraz karma\u015f\u0131k g\u00f6r\u00fcnebilir, ancak par\u00e7alara ayr\u0131ld\u0131\u011f\u0131nda anlaml\u0131d\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>= <span style=\"color: #800080;\">KARE(<\/span> <span style=\"color: #ff0000;\">TOPLAM(A2:A21-B2:B21)<\/span> \/ <span style=\"color: #3366ff;\">SAYIM(A2:A21)<\/span> <span style=\"color: #800080;\">)<\/span><\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00d6ncelikle <span style=\"color: #ff0000;\"><strong>SUMSQ()<\/strong><\/span> fonksiyonunu kullanarak tahmin edilen ve g\u00f6zlemlenen de\u011ferler aras\u0131ndaki farklar\u0131n karelerinin toplam\u0131n\u0131 hesapl\u0131yoruz.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Daha sonra, bir aral\u0131ktaki bo\u015f olmayan h\u00fccrelerin say\u0131s\u0131n\u0131 sayan <span style=\"color: #3366ff;\"><strong>COUNTA()<\/strong><\/span> i\u015flevini kullanarak veri k\u00fcmesinin \u00f6rnek boyutuna b\u00f6leriz.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Son olarak <span style=\"color: #800080;\"><strong>SQRT()<\/strong><\/span> fonksiyonunu kullanarak t\u00fcm hesaplaman\u0131n karek\u00f6k\u00fcn\u00fc al\u0131yoruz.<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Senaryo 2<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Ba\u015fka bir senaryoda, tahmin edilen ve g\u00f6zlemlenen de\u011ferler aras\u0131ndaki farklar\u0131 zaten hesaplam\u0131\u015f olabilirsiniz. Bu durumda farkl\u0131l\u0131klar\u0131 g\u00f6steren yaln\u0131zca bir s\u00fctununuz olacakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki resimde bu senaryonun bir \u00f6rne\u011fi g\u00f6sterilmektedir. Tahmin edilen de\u011ferler A s\u00fctununda, g\u00f6zlemlenen de\u011ferler B s\u00fctununda ve tahmin edilen ve g\u00f6zlemlenen de\u011ferler aras\u0131ndaki fark D s\u00fctununda g\u00f6sterilir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5179 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/rmse4.png\" alt=\"Excel'de Ortalama Kare Hata \u00d6rne\u011fi\" width=\"547\" height=\"508\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u00d6yleyse, a\u015fa\u011f\u0131daki form\u00fcl\u00fc herhangi bir h\u00fccreye yaz\u0131p CTRL+SHIFT+ENTER tu\u015flar\u0131na basarak RMSE&#8217;yi hesaplayabilirsiniz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>=KARE(TOPLA(D2:D21) \/ SAYIM(D2:D21))<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5181 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/rmse5.png\" alt=\"Excel'de RMSE\" width=\"629\" height=\"481\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu bize ortalama kare hatas\u0131n\u0131n <strong>2,6646<\/strong> oldu\u011funu s\u00f6yler ve bu da birinci senaryoda elde edilen sonuca kar\u015f\u0131l\u0131k gelir. Bu, RMSE&#8217;nin hesaplanmas\u0131na y\u00f6nelik bu iki yakla\u015f\u0131m\u0131n e\u015fde\u011fer oldu\u011funu do\u011frulamaktad\u0131r.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5182 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/rmse6.png\" alt=\"Excel'de Ortalama Kare Hatas\u0131\" width=\"643\" height=\"604\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu senaryoda kulland\u0131\u011f\u0131m\u0131z form\u00fcl, \u00f6nceki senaryoda kulland\u0131\u011f\u0131m\u0131zdan yaln\u0131zca biraz farkl\u0131d\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>= <span style=\"color: #800080;\">KARE(<\/span> <span style=\"color: #ff0000;\">TOPLA(D2:D21)<\/span> \/ <span style=\"color: #3366ff;\">SAYIM(D2:D21)<\/span> <span style=\"color: #800080;\">) )<\/span><\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Tahmin edilen ve g\u00f6zlemlenen de\u011ferler aras\u0131ndaki farklar\u0131 zaten D s\u00fctununda hesaplad\u0131\u011f\u0131m\u0131z i\u00e7in SUMSQ() fonksiyonunu kullanarak kareleri al\u0131nm\u0131\u015f farklar\u0131n toplam\u0131n\u0131 hesaplayabiliriz<\/span> <span style=\"color: #ff0000;\"><strong>. <span style=\"color: #000000;\">&nbsp;<\/span><\/strong><\/span> <span style=\"color: #000000;\">yaln\u0131zca D s\u00fctunundaki de\u011ferlerle \u00e7al\u0131\u015f\u0131r.<\/span><\/li>\n<li> Daha sonra, <span style=\"color: #000000;\">bir aral\u0131ktaki bo\u015f olmayan h\u00fccrelerin say\u0131s\u0131n\u0131 sayan<\/span> <span style=\"color: #3366ff;\"><strong>COUNTA()<\/strong><\/span> <span style=\"color: #000000;\">i\u015flevini kullanarak veri k\u00fcmesinin \u00f6rnek boyutuna b\u00f6leriz<\/span> .<\/li>\n<li> Son olarak <span style=\"color: #800080;\"><strong>SQRT()<\/strong><\/span> fonksiyonunu <span style=\"color: #000000;\">kullanarak t\u00fcm hesaplaman\u0131n karek\u00f6k\u00fcn\u00fc al\u0131yoruz<\/span> .<\/li>\n<\/ul>\n<h2> <span style=\"color: #000000;\"><strong>RMSE nas\u0131l yorumlan\u0131r?<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Daha \u00f6nce de belirtildi\u011fi gibi <strong>RMSE<\/strong> , bir regresyon modelinin (veya tahmin edilen de\u011ferleri \u00fcreten herhangi bir modelin) bir veri k\u00fcmesine ne kadar iyi &#8220;uyabildi\u011fini&#8221; g\u00f6rmenin yararl\u0131 bir yoludur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">RMSE ne kadar b\u00fcy\u00fck olursa, tahmin edilen ve g\u00f6zlemlenen de\u011ferler aras\u0131ndaki fark da o kadar b\u00fcy\u00fck olur; bu da regresyon modelinin verilere uymas\u0131n\u0131n o kadar k\u00f6t\u00fc oldu\u011fu anlam\u0131na gelir. Tersine, RMSE ne kadar k\u00fc\u00e7\u00fck olursa model verilere o kadar iyi uyum sa\u011flayabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Hangi modelin verilere en iyi \u015fekilde uydu\u011funu g\u00f6rmek i\u00e7in iki farkl\u0131 modelin RMSE&#8217;sini kar\u015f\u0131la\u015ft\u0131rmak \u00f6zellikle yararl\u0131 olabilir.<\/span><\/p>\n<p> <em><span style=\"color: #000000;\"><strong>Excel&#8217;de daha fazla e\u011fitim i\u00e7in istatistiklerle ilgili t\u00fcm Excel e\u011fitimlerini listeleyen Excel K\u0131lavuzlar\u0131 sayfam\u0131za g\u00f6z atmay\u0131 unutmay\u0131n.<\/strong><\/span><\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistikte regresyon analizi , yorday\u0131c\u0131 de\u011fi\u015fken x ile yan\u0131t de\u011fi\u015fkeni y aras\u0131ndaki ili\u015fkiyi anlamak i\u00e7in kulland\u0131\u011f\u0131m\u0131z bir tekniktir. Regresyon analizi yapt\u0131\u011f\u0131m\u0131zda, yorday\u0131c\u0131 de\u011fi\u015fkenin de\u011ferine ba\u011fl\u0131 olarak bize yan\u0131t de\u011fi\u015fkeninin tahmin edilen de\u011ferini s\u00f6yleyen bir model elde ederiz. Modelimizin belirli bir veri k\u00fcmesine ne kadar iyi uydu\u011funu de\u011ferlendirmenin bir yolu, tahmin edilen de\u011ferlerimizin g\u00f6zlemlenen de\u011ferlerimizden ortalama [&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-574","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 Ortalama Karek\u00f6k Hata (RMSE) Nas\u0131l Hesaplan\u0131r?<\/title>\n<meta name=\"description\" content=\"Ad\u0131m ad\u0131m \u00f6rnek de dahil olmak \u00fczere Excel&#039;de ortalama karek\u00f6k hatan\u0131n (RMSE) nas\u0131l hesaplanaca\u011f\u0131na dair basit bir a\u00e7\u0131klama.\" \/>\n<meta name=\"robots\" content=\"index, follow, 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