{"id":1582,"date":"2023-07-25T18:58:24","date_gmt":"2023-07-25T18:58:24","guid":{"rendered":"https:\/\/statorials.org\/tr\/tahminin-standart-hatasi\/"},"modified":"2023-07-25T18:58:24","modified_gmt":"2023-07-25T18:58:24","slug":"tahminin-standart-hatasi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/tahminin-standart-hatasi\/","title":{"rendered":"Tahminin standart hatas\u0131 nedir? (tan\u0131m &amp; #038; \u00f6rnek)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Tahminin standart hatas\u0131,<\/strong> bir regresyon modeli taraf\u0131ndan yap\u0131lan tahminlerin do\u011frulu\u011funu \u00f6l\u00e7menin bir yoludur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7o\u011funlukla not edilir \u03c3 <sub>est<\/sub> , a\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\"><sub>\u03c3<\/sub> = \u221a <span style=\"border-top: 1px solid black;\">\u03a3(y \u2013 \u0177) <sup>2<\/sup> \/n<\/span><\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>y:<\/strong> G\u00f6zlemlenen de\u011fer<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u0177:<\/strong> Tahmin edilen de\u011fer<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> Toplam g\u00f6zlem say\u0131s\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Tahminin standart hatas\u0131 bize bir regresyon modelinin bir veri setine ne kadar iyi uydu\u011fu konusunda fikir verir. \u00d6zellikle:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">De\u011fer ne kadar k\u00fc\u00e7\u00fck olursa uyum o kadar iyi olur.<\/span><\/li>\n<li> <span style=\"color: #000000;\">De\u011fer ne kadar b\u00fcy\u00fck olursa uyum o kadar k\u00f6t\u00fc olur.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Tahminin k\u00fc\u00e7\u00fck standart hatas\u0131na sahip bir regresyon modeli i\u00e7in, veri noktalar\u0131 tahmini regresyon \u00e7izgisi etraf\u0131nda s\u0131k\u0131 bir \u015fekilde k\u00fcmelenecektir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15730 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standarderrorestimate1.png\" alt=\"\" width=\"431\" height=\"322\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Tersine, b\u00fcy\u00fck bir standart tahmin hatas\u0131na sahip bir regresyon modeli i\u00e7in, veri noktalar\u0131 regresyon \u00e7izgisi etraf\u0131nda daha gev\u015fek bir \u015fekilde da\u011f\u0131lacakt\u0131r:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15731 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standarderrorestimate2.png\" alt=\"\" width=\"445\" height=\"325\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, Excel&#8217;de bir regresyon modeli i\u00e7in tahminin standart hatas\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 ve yorumlanaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Excel&#8217;de tahminin standart hatas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Excel&#8217;deki bir regresyon modeline ili\u015fkin tahminin standart hatas\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullan\u0131n.<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">1. Ad\u0131m: Verileri girin<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">\u0130lk \u00f6nce veri k\u00fcmesi de\u011ferlerini girin:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15732 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standarderrorestimate3.png\" alt=\"\" width=\"399\" height=\"456\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <strong><span style=\"color: #000000;\">Ad\u0131m 2: Do\u011frusal Regresyon Ger\u00e7ekle\u015ftirin<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra \u00fcst \u015feritteki <strong>Veri<\/strong> sekmesine t\u0131klay\u0131n. Daha sonra <strong>Analiz<\/strong> grubundaki <strong>Veri Analizi<\/strong> se\u00e7ene\u011fine t\u0131klay\u0131n.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-5292 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/deuxsampexcel3.png\" alt=\"\" width=\"443\" height=\"169\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu se\u00e7ene\u011fi g\u00f6rm\u00fcyorsan\u0131z \u00f6ncelikle <a href=\"https:\/\/statorials.org\/tr\/analiz-arac-paketini-excele-nasil-yukleyebilirim\/\" target=\"_blank\" rel=\"noopener\">Analiz Ara\u00e7 Paketi&#8217;ni y\u00fcklemelisiniz<\/a> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">G\u00f6r\u00fcnt\u00fclenen yeni pencerede <strong>Regresyon&#8217;a<\/strong> ve ard\u0131ndan <strong>Tamam&#8217;a<\/strong> t\u0131klay\u0131n.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15733 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/regressionpak.png\" alt=\"\" width=\"415\" height=\"229\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A\u00e7\u0131lan yeni pencerede a\u015fa\u011f\u0131daki bilgileri girin:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15734 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standarderrorestimate4-1.png\" alt=\"\" width=\"527\" height=\"455\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Tamam&#8217;a<\/strong> t\u0131klad\u0131\u011f\u0131n\u0131zda regresyon sonucu g\u00f6r\u00fcnecektir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15735 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standarderrorestimate5.png\" alt=\"\" width=\"510\" height=\"431\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Tahmin edilen regresyon denklemini olu\u015fturmak i\u00e7in regresyon tablosundaki katsay\u0131lar\u0131 kullanabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0177 = 13,367 + 1,693(x)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Ve bu regresyon modeli i\u00e7in tahminin standart hatas\u0131n\u0131n <strong>6,006<\/strong> oldu\u011funu g\u00f6r\u00fcyoruz. Basit bir ifadeyle bu bize ortalama veri noktas\u0131n\u0131n regresyon do\u011frusundan <strong>6,006<\/strong> birim uzakta oldu\u011funu s\u00f6yler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Belirli bir veri noktas\u0131n\u0131n tahmin edilen de\u011feri i\u00e7in %95&#8217;lik bir g\u00fcven aral\u0131\u011f\u0131 olu\u015fturmak amac\u0131yla tahmin edilen regresyon denklemini ve tahminin standart hatas\u0131n\u0131 kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, x&#8217;in 10&#8217;a e\u015fit oldu\u011funu varsayal\u0131m. Tahmin edilen regresyon denklemini kullanarak y&#8217;nin \u015funa e\u015fit olaca\u011f\u0131n\u0131 tahmin edebiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0177 = 13,367 + 1,693*(10) = 30,297<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ve bu tahmin i\u00e7in %95 g\u00fcven aral\u0131\u011f\u0131n\u0131 a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanarak bulabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">%95 GA = [\u0177 \u2013 1,96* <sub>\u03c3<\/sub> , \u0177 + 1,96*\u03c3 <sub>,<\/sub> ]<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fimiz i\u00e7in %95 g\u00fcven aral\u0131\u011f\u0131 \u015fu \u015fekilde hesaplanacakt\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">%95 GA = [\u0177 \u2013 1,96* <sub>\u03c3<\/sub> , \u0177 + 1,96*\u03c3 <sub>,<\/sub> ]<\/span><\/li>\n<li> <span style=\"color: #000000;\">%95 GA = [30,297 \u2013 1,96*6,006, 30,297 + 1,96*6,006]<\/span><\/li>\n<li> <span style=\"color: #000000;\">%95 GA = [18.525, 42.069]<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/basit-dogrusal-regresyon-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de basit do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de \u00c7oklu Do\u011frusal Regresyon Nas\u0131l Ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/excelde-artik-iz-nasil-olusturulur\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de Art\u0131k Grafik Nas\u0131l Olu\u015fturulur<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tahminin standart hatas\u0131, bir regresyon modeli taraf\u0131ndan yap\u0131lan tahminlerin do\u011frulu\u011funu \u00f6l\u00e7menin bir yoludur. \u00c7o\u011funlukla not edilir \u03c3 est , a\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r: \u03c3 = \u221a \u03a3(y \u2013 \u0177) 2 \/n Alt\u0131n: y: G\u00f6zlemlenen de\u011fer \u0177: Tahmin edilen de\u011fer n: Toplam g\u00f6zlem say\u0131s\u0131 Tahminin standart hatas\u0131 bize bir regresyon modelinin bir veri setine ne kadar iyi [&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-1582","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>Tahminin standart hatas\u0131 nedir? 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