{"id":3294,"date":"2023-07-18T06:13:33","date_gmt":"2023-07-18T06:13:33","guid":{"rendered":"https:\/\/statorials.org\/tr\/regresyon-egimi-icin-guven-araligi\/"},"modified":"2023-07-18T06:13:33","modified_gmt":"2023-07-18T06:13:33","slug":"regresyon-egimi-icin-guven-araligi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/regresyon-egimi-icin-guven-araligi\/","title":{"rendered":"Regresyon e\u011fimi i\u00e7in g\u00fcven aral\u0131\u011f\u0131 nas\u0131l hesaplan\u0131r?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Basit do\u011frusal regresyon,<\/strong> bir yorday\u0131c\u0131 de\u011fi\u015fken ile bir yan\u0131t de\u011fi\u015fkeni aras\u0131ndaki ili\u015fkiyi \u00f6l\u00e7mek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu y\u00f6ntem, bir veri k\u00fcmesiyle en iyi &#8220;e\u015fle\u015fen&#8221; bir sat\u0131r\u0131 bulur ve a\u015fa\u011f\u0131daki bi\u00e7imi al\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0177 = b <sub>0<\/sub> + b <sub>1<\/sub> x<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u0177<\/strong> : Tahmini yan\u0131t de\u011feri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>b <sub>0<\/sub><\/strong> : Regresyon \u00e7izgisinin ba\u015flang\u0131c\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>b <sub>1<\/sub><\/strong> : Regresyon \u00e7izgisinin e\u011fimi<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x<\/strong> : Tahmin de\u011fi\u015fkeninin de\u011feri<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Genellikle, yorday\u0131c\u0131 de\u011fi\u015fkendeki bir birimlik art\u0131\u015fla ili\u015fkili <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener\">yan\u0131t<\/a> de\u011fi\u015fkenindeki ortalama de\u011fi\u015fikli\u011fi s\u00f6yleyen b <sub>1<\/sub> de\u011feriyle ilgileniriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Genel pop\u00fclasyonun e\u011fim de\u011feri olan \u03b2 <sub>1<\/sub> de\u011ferine y\u00f6nelik bir g\u00fcven aral\u0131\u011f\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabiliriz:<\/span><\/p>\n<blockquote>\n<p> <strong><span style=\"color: #000000;\">\u03b2 <sub>1<\/sub> i\u00e7in g\u00fcven aral\u0131\u011f\u0131 : b <sub>1<\/sub> \u00b1 t <sub>1-\u03b1\/2, n-2<\/sub> * se(b <sub>1<\/sub> )<\/span><\/strong><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span> <\/p>\n<ul>\n<li><strong>&nbsp;<\/strong> <span style=\"color: #000000;\"><strong>b <sub>1<\/sub><\/strong> = Regresyon tablosunda g\u00f6sterilen e\u011fim katsay\u0131s\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>t <sub>1-\u221d\/2, n-2<\/sub><\/strong> = n-2 serbestlik derecesine sahip 1-\u221d g\u00fcven d\u00fczeyi i\u00e7in kritik t de\u011feri; burada <em>n<\/em> , veri setimizdeki toplam g\u00f6zlem say\u0131s\u0131d\u0131r<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>se(b <sub>1<\/sub> )<\/strong> = Regresyon tablosunda g\u00f6sterilen b <sub>1&#8217;in<\/sub> standart hatas\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, pratikte bir regresyon e\u011fimi i\u00e7in g\u00fcven aral\u0131\u011f\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek: Regresyon e\u011fimi i\u00e7in g\u00fcven aral\u0131\u011f\u0131<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Belirli bir s\u0131n\u0131ftaki 15 \u00f6\u011frenci i\u00e7in yorday\u0131c\u0131 de\u011fi\u015fken olarak \u00e7al\u0131\u015f\u0131lan saatleri ve yan\u0131t de\u011fi\u015fkeni olarak s\u0131nav puanlar\u0131n\u0131 kullanarak basit bir do\u011frusal regresyon modeli uydurmak istedi\u011fimizi varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-22174 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/intercepter1.png\" alt=\"\" width=\"190\" height=\"377\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/basit-dogrusal-regresyon-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de basit bir do\u011frusal regresyon<\/a> ger\u00e7ekle\u015ftirebilir ve a\u015fa\u011f\u0131daki sonucu alabiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-27857 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/confslope1.jpg\" alt=\"\" width=\"603\" height=\"356\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Sonu\u00e7taki katsay\u0131 tahminlerini kullanarak uydurulan basit do\u011frusal regresyon modelini \u015fu \u015fekilde yazabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Puan = 65.334 + 1.982*(\u00c7al\u0131\u015fma saati)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Regresyon e\u011fiminin de\u011feri <strong>1,982&#8217;dir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu bize, harcanan her ek \u00e7al\u0131\u015fma saatinin s\u0131nav puan\u0131nda ortalama <strong>1.982<\/strong> puanl\u0131k bir art\u0131\u015fla ili\u015fkili oldu\u011funu s\u00f6yl\u00fcyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">E\u011fim i\u00e7in %95 g\u00fcven aral\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u03b2 <sub>1<\/sub> i\u00e7in %95 GA: b <sub>1<\/sub> \u00b1 t <sub>1-\u03b1\/2, n-2<\/sub> * se(b <sub>1<\/sub> )<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03b2 <sub>1<\/sub> i\u00e7in %95 GA: 1,982 \u00b1 t <sub>0,975, 15-2<\/sub> * 0,248<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03b2 <sub>1<\/sub> i\u00e7in %95 GA: 1,982 \u00b1 2,1604 * 0,248<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03b2 <sub>1<\/sub> i\u00e7in %95 GA: [1,446, 2,518]<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Regresyon e\u011fimi i\u00e7in %95 g\u00fcven aral\u0131\u011f\u0131 <strong>[1,446, 2,518]&#8217;<\/strong> dir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu g\u00fcven aral\u0131\u011f\u0131 0 de\u011ferini i\u00e7ermedi\u011finden \u00e7al\u0131\u015f\u0131lan saat ile s\u0131nav notu aras\u0131nda istatistiksel olarak anlaml\u0131 bir ili\u015fkinin oldu\u011fu sonucuna varabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Not<\/strong> : 13 serbestlik derecesine sahip %95 g\u00fcven d\u00fczeyine kar\u015f\u0131l\u0131k gelen kritik t de\u011ferini bulmak i\u00e7in ters t da\u011f\u0131l\u0131m\u0131 hesaplay\u0131c\u0131s\u0131n\u0131 kulland\u0131k.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimler do\u011frusal regresyon hakk\u0131nda ek bilgi sa\u011flar:<\/span><\/p>\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\/regresyon-yorumlama-tablosunu-okuyun\/\" target=\"_blank\" rel=\"noopener\">Regresyon Tablosu Nas\u0131l Okunmal\u0131 ve Yorumlanmal\u0131<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/regresyon-sonuclari-nasil-raporlanir\/\" target=\"_blank\" rel=\"noopener\">Regresyon sonu\u00e7lar\u0131 nas\u0131l raporlan\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Basit do\u011frusal regresyon, bir yorday\u0131c\u0131 de\u011fi\u015fken ile bir yan\u0131t de\u011fi\u015fkeni aras\u0131ndaki ili\u015fkiyi \u00f6l\u00e7mek i\u00e7in kullan\u0131l\u0131r. Bu y\u00f6ntem, bir veri k\u00fcmesiyle en iyi &#8220;e\u015fle\u015fen&#8221; bir sat\u0131r\u0131 bulur ve a\u015fa\u011f\u0131daki bi\u00e7imi al\u0131r: \u0177 = b 0 + b 1 x Alt\u0131n: \u0177 : Tahmini yan\u0131t de\u011feri b 0 : Regresyon \u00e7izgisinin ba\u015flang\u0131c\u0131 b 1 : Regresyon \u00e7izgisinin [&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-3294","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>Regresyon e\u011fimi i\u00e7in g\u00fcven aral\u0131\u011f\u0131 nas\u0131l hesaplan\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde bir regresyon e\u011fimi i\u00e7in g\u00fcven aral\u0131\u011f\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 bir \u00f6rnekle a\u00e7\u0131klanmaktad\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\/regresyon-egimi-icin-guven-araligi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Regresyon e\u011fimi i\u00e7in g\u00fcven aral\u0131\u011f\u0131 nas\u0131l hesaplan\u0131r - 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