{"id":1476,"date":"2023-07-26T05:55:47","date_gmt":"2023-07-26T05:55:47","guid":{"rendered":"https:\/\/statorials.org\/tr\/senin-sapkan\/"},"modified":"2023-07-26T05:55:47","modified_gmt":"2023-07-26T05:55:47","slug":"senin-sapkan","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/senin-sapkan\/","title":{"rendered":"I\u0307statistiklerde y hat nedir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistikte <strong>y hat<\/strong> ( <strong>\u0177<\/strong> yaz\u0131l\u0131) terimi, <a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/\" target=\"_blank\" rel=\"noopener\">do\u011frusal regresyon modelinde<\/a> bir yan\u0131t de\u011fi\u015fkeninin tahmin edilen de\u011ferini ifade eder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tahmini bir regresyon denklemini genel olarak a\u015fa\u011f\u0131daki gibi yazar\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0177 = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> x<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u0177<\/strong> : Yan\u0131t de\u011fi\u015fkeninin tahmin edilen de\u011feri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03b2 <sub>0<\/sub><\/strong> : Tahmin de\u011fi\u015fkeni s\u0131f\u0131r oldu\u011funda yan\u0131t de\u011fi\u015fkeninin ortalama de\u011feri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03b2 <sub>1<\/sub><\/strong> : tahmin de\u011fi\u015fkenindeki bir birimlik art\u0131\u015fla ili\u015fkili yan\u0131t de\u011fi\u015fkenindeki ortalama de\u011fi\u015fiklik<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, alt\u0131 farkl\u0131 \u00f6\u011frencinin ders saatini ve final s\u0131nav puanlar\u0131n\u0131 g\u00f6steren a\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sommecarre1.png\" width=\"217\" height=\"191\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Tahmin edici de\u011fi\u015fken olarak <em>\u00e7al\u0131\u015f\u0131lan saatleri<\/em> kullanarak a\u015fa\u011f\u0131daki regresyon modeline uymak i\u00e7in istatistiksel yaz\u0131l\u0131m ( <a href=\"https:\/\/statorials.org\/tr\/rde-basit-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener\">R<\/a> , <a href=\"https:\/\/statorials.org\/tr\/basit-dogrusal-regresyon-excel\/\" target=\"_blank\" rel=\"noopener\">Excel<\/a> , <a href=\"https:\/\/statorials.org\/tr\/pythonda-basit-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener\">Python<\/a> ve hatta manuel olarak) kulland\u0131\u011f\u0131m\u0131z\u0131 ve yan\u0131t de\u011fi\u015fkeni olarak <em>sonu\u00e7lar\u0131 inceledi\u011fimizi<\/em> varsayal\u0131m:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Puan = 66,615 + 5,0769*(Saat)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu modeldeki regresyon katsay\u0131lar\u0131n\u0131 yorumlaman\u0131n yolu \u015fu \u015fekildedir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">S\u0131f\u0131r saat e\u011fitim alan bir \u00f6\u011frencinin ortalama s\u0131nav puan\u0131 <strong>66.615&#8217;tir<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">S\u0131nav puan\u0131, \u00e7al\u0131\u015f\u0131lan her ek saat i\u00e7in ortalama <strong>5,0769<\/strong> puan artar.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Belirli bir \u00f6\u011frencinin puan\u0131n\u0131, \u00e7al\u0131\u015f\u0131lan saat say\u0131s\u0131na g\u00f6re <em>tahmin etmek<\/em> i\u00e7in bu regresyon denklemini kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin 3 saat ders \u00e7al\u0131\u015fan bir \u00f6\u011frencinin \u015fu puan\u0131 almas\u0131 gerekir:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Puan = 66,615 + 5,0769*(3) = <strong>81,85<\/strong><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Y Hat neden kullan\u0131l\u0131yor?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0130statistiklerdeki \u201c\u015fapka\u201d sembol\u00fc herhangi bir \u201ctahmini\u201d terimi belirtmek i\u00e7in kullan\u0131l\u0131r. \u00d6rne\u011fin <strong>\u0177<\/strong> , tahmini bir yan\u0131t de\u011fi\u015fkenini belirtmek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tipik olarak, do\u011frusal regresyon modellerini yerle\u015ftirirken, bir pop\u00fclasyondan al\u0131nan bir veri <a href=\"https:\/\/statorials.org\/tr\/populasyon-ve-ornek\/\" target=\"_blank\" rel=\"noopener\">\u00f6rne\u011fini<\/a> kullan\u0131r\u0131z \u00e7\u00fcnk\u00fc bu, bir pop\u00fclasyondaki olas\u0131 her g\u00f6zlem i\u00e7in veri toplamaktan daha uygundur ve daha az zaman al\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yani bir regresyon denklemi buldu\u011fumuzda, yaln\u0131zca yorday\u0131c\u0131 de\u011fi\u015fken ile yan\u0131t de\u011fi\u015fkeni aras\u0131ndaki ger\u00e7ek ili\u015fkiyi <em>tahmin<\/em> ediyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu nedenle regresyon denkleminde y yerine \u0177 terimini kullan\u0131yoruz.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Ek kaynaklar<\/span><\/strong><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/\" target=\"_blank\" rel=\"noopener\">Basit Do\u011frusal Regresyona Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener\">\u00c7oklu Do\u011frusal Regresyona Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener\">A\u00e7\u0131klay\u0131c\u0131 ve yan\u0131t de\u011fi\u015fkenlerine giri\u015f<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistikte y hat ( \u0177 yaz\u0131l\u0131) terimi, do\u011frusal regresyon modelinde bir yan\u0131t de\u011fi\u015fkeninin tahmin edilen de\u011ferini ifade eder. Tahmini bir regresyon denklemini genel olarak a\u015fa\u011f\u0131daki gibi yazar\u0131z: \u0177 = \u03b2 0 + \u03b2 1 x Alt\u0131n: \u0177 : Yan\u0131t de\u011fi\u015fkeninin tahmin edilen de\u011feri \u03b2 0 : Tahmin de\u011fi\u015fkeni s\u0131f\u0131r oldu\u011funda yan\u0131t de\u011fi\u015fkeninin ortalama de\u011feri \u03b2 [&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-1476","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>\u0130statistiklerde Y Hat nedir? - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, resmi bir tan\u0131m ve \u00f6rnek de dahil olmak \u00fczere istatistikte Y \u015fapkas\u0131n\u0131n bir a\u00e7\u0131klamas\u0131 sa\u011flanmaktad\u0131r.\" \/>\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\/senin-sapkan\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0130statistiklerde Y Hat nedir? 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