{"id":169,"date":"2023-08-04T16:33:48","date_gmt":"2023-08-04T16:33:48","guid":{"rendered":"https:\/\/statorials.org\/tr\/bagimli-ve-bagimsiz-degisken\/"},"modified":"2023-08-04T16:33:48","modified_gmt":"2023-08-04T16:33:48","slug":"bagimli-ve-bagimsiz-degisken","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/bagimli-ve-bagimsiz-degisken\/","title":{"rendered":"Ba\u011f\u0131ml\u0131 ve ba\u011f\u0131ms\u0131z de\u011fi\u015fken"},"content":{"rendered":"<p>Bu makalede ba\u011f\u0131ml\u0131 ve ba\u011f\u0131ms\u0131z de\u011fi\u015fkenlerin ne oldu\u011fu a\u00e7\u0131klanmaktad\u0131r. B\u00f6ylece, ba\u011f\u0131ml\u0131 de\u011fi\u015fken ile ba\u011f\u0131ms\u0131z de\u011fi\u015fken aras\u0131ndaki fark\u0131n ne oldu\u011funu, hangisinin ba\u011f\u0131ml\u0131 de\u011fi\u015fken hangisinin ba\u011f\u0131ms\u0131z oldu\u011funu nas\u0131l bilece\u011finizi \u00f6\u011frenecek ve ayr\u0131ca bu t\u00fcr de\u011fi\u015fkenlerin \u00e7e\u015fitli \u00f6rneklerini sunacaks\u0131n\u0131z. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-variable-dependiente-e-independiente\"><\/span> Ba\u011f\u0131ml\u0131 ve ba\u011f\u0131ms\u0131z de\u011fi\u015fken nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Ba\u011f\u0131ml\u0131 de\u011fi\u015fken,<\/strong> de\u011feri <strong>ba\u011f\u0131ms\u0131z de\u011fi\u015fken<\/strong> olan ba\u015fka bir de\u011fi\u015fkene ba\u011fl\u0131 olan de\u011fi\u015fkendir. Dolay\u0131s\u0131yla <strong>ba\u011f\u0131ml\u0131 de\u011fi\u015fken ile ba\u011f\u0131ms\u0131z de\u011fi\u015fken aras\u0131ndaki fark,<\/strong> ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin ba\u015fka bir de\u011fi\u015fkene ba\u011fl\u0131 olmamas\u0131, ba\u011f\u0131ml\u0131 de\u011fi\u015fkenin ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin de\u011ferine ba\u011fl\u0131 olmas\u0131d\u0131r.<\/p>\n<p> Bir grafikte, ba\u011f\u0131ms\u0131z de\u011fi\u015fken apsis (yatay eksen) \u00fczerinde <em>x<\/em> harfi ile temsil edilirken, ba\u011f\u0131ml\u0131 de\u011fi\u015fken ordinat (dikey eksen) \u00fczerinde <em>y<\/em> harfi ile temsil edilir.<\/p>\n<p> \u00d6rne\u011fin istatistiksel bir \u00e7al\u0131\u015fmada al\u0131nan not ile ayr\u0131lan ders saati aras\u0131ndaki ili\u015fkiyi analiz edersek, ayr\u0131lan ders saati ba\u011f\u0131ms\u0131z de\u011fi\u015fken, al\u0131nan not ise ba\u011f\u0131ml\u0131 de\u011fi\u015fkendir. Al\u0131nan not \u00e7al\u0131\u015f\u0131lan saatlere ba\u011fl\u0131 oldu\u011fundan, tam tersi ge\u00e7erli de\u011fildir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-variables-dependientes-e-independientes\"><\/span> Ba\u011f\u0131ml\u0131 ve Ba\u011f\u0131ms\u0131z De\u011fi\u015fken \u00d6rnekleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u00d6nceki b\u00f6l\u00fcmde ba\u011f\u0131ml\u0131 ve ba\u011f\u0131ms\u0131z de\u011fi\u015fkenlerin tan\u0131m\u0131n\u0131 g\u00f6rm\u00fc\u015ft\u00fck, \u015fimdi anlam\u0131n\u0131 daha iyi anlamak i\u00e7in bu t\u00fcr de\u011fi\u015fkenlerin on \u00f6rne\u011fini g\u00f6rece\u011fiz.<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Ders \u00e7al\u0131\u015fmak i\u00e7in harcanan zaman (ba\u011f\u0131ms\u0131z de\u011fi\u015fken) al\u0131nan notlar\u0131 (ba\u011f\u0131ml\u0131 de\u011fi\u015fken) etkilemektedir.<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Bir \u00fcr\u00fcn\u00fcn fiyat\u0131 (ba\u011f\u0131ms\u0131z de\u011fi\u015fken), \u00fcr\u00fcn\u00fc sat\u0131n almak isteyen ki\u015fi say\u0131s\u0131n\u0131 (ba\u011f\u0131ml\u0131 de\u011fi\u015fken) de\u011fi\u015ftirir.<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Bir ki\u015finin sa\u011fl\u0131\u011f\u0131 (ba\u011f\u0131ml\u0131 de\u011fi\u015fken) beslenmesine (ba\u011f\u0131ms\u0131z de\u011fi\u015fken) ba\u011fl\u0131d\u0131r.<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Bir ki\u015finin kalp at\u0131\u015f h\u0131z\u0131 (ba\u011f\u0131ml\u0131 de\u011fi\u015fken), ne kadar y\u00fcksek oldu\u011fundan (ba\u011f\u0131ms\u0131z de\u011fi\u015fken) etkilenir.<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Ortam s\u0131cakl\u0131\u011f\u0131 (ba\u011f\u0131ms\u0131z de\u011fi\u015fken) orman yang\u0131nlar\u0131n\u0131n say\u0131s\u0131n\u0131 (ba\u011f\u0131ml\u0131 de\u011fi\u015fken) etkilemektedir.<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">M\u00fc\u015fteri memnuniyeti d\u00fczeyi (ba\u011f\u0131ml\u0131 de\u011fi\u015fken), sunulan hizmetin kalitesine (ba\u011f\u0131ms\u0131z de\u011fi\u015fken) g\u00f6re de\u011fi\u015fmektedir.<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Bir \u00fcr\u00fcn\u00fcn reklam\u0131n\u0131n yap\u0131lmas\u0131 (ba\u011f\u0131ms\u0131z de\u011fi\u015fken), s\u00f6z konusu \u00fcr\u00fcn\u00fcn sat\u0131\u015f adedi (ba\u011f\u0131ml\u0131 de\u011fi\u015fken) \u00fczerinde etkiye sahiptir.<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Bir \u00fclkenin sald\u0131\u011f\u0131 kirletici maddelerin miktar\u0131 (ba\u011f\u0131ml\u0131 de\u011fi\u015fken) o \u00fclkenin end\u00fcstriyel \u00fcretimine (ba\u011f\u0131ms\u0131z de\u011fi\u015fken) ba\u011fl\u0131d\u0131r.<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Bir taksi \u015fof\u00f6r\u00fcn\u00fcn maa\u015f\u0131 (ba\u011f\u0131ml\u0131 de\u011fi\u015fken), yapt\u0131\u011f\u0131 yolculuk say\u0131s\u0131na (ba\u011f\u0131ms\u0131z de\u011fi\u015fken) ba\u011fl\u0131 olarak de\u011fi\u015fmektedir.<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">Bir \u015fehrin sakinlerinin say\u0131s\u0131 (ba\u011f\u0131ms\u0131z de\u011fi\u015fken), \u015fehirdeki taksi say\u0131s\u0131na (ba\u011f\u0131ml\u0131 de\u011fi\u015fken) ba\u011fl\u0131d\u0131r.<\/span><\/li>\n<\/ol>\n<p> Bir de\u011fi\u015fkenin ba\u011flama ba\u011fl\u0131 olarak ba\u011f\u0131ml\u0131 veya ba\u011f\u0131ms\u0131z oldu\u011funu unutmay\u0131n; \u00e7\u00fcnk\u00fc ara\u015ft\u0131rmaya ba\u011fl\u0131 olarak ili\u015fkinin nedeni veya etkisi olarak hareket edecektir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-de-variables-dependientes-e-independientes\"><\/span> Ba\u011f\u0131ml\u0131 ve Ba\u011f\u0131ms\u0131z De\u011fi\u015fkenler Al\u0131\u015ft\u0131rmalar\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A\u015fa\u011f\u0131daki durumlarda ba\u011f\u0131ml\u0131 de\u011fi\u015fken hangisi, ba\u011f\u0131ms\u0131z de\u011fi\u015fken hangisidir?<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Bir \u015fehrin sakin say\u0131s\u0131 \u2013 Halk otob\u00fcs\u00fc say\u0131s\u0131<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Arac\u0131n ya\u015f\u0131 \u2013 Arac\u0131n durumu<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Sivrisinek say\u0131s\u0131 \u2013 Ortam s\u0131cakl\u0131\u011f\u0131<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">Aydaki ya\u011fmurlu g\u00fcn say\u0131s\u0131 \u2013 \u015eemsiye talebi<\/span> <\/li>\n<\/ol>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__FFF8E1\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#FFF8E1\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u00e7\u00f6z\u00fcm\u00fc g\u00f6r<\/strong> <\/div>\n<\/div>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px; text-align:left\"><span style=\"color:#101010;font-weight: normal;\">Ba\u011f\u0131ml\u0131 de\u011fi\u015fken: Halk otob\u00fcs\u00fc say\u0131s\u0131 \u2013 Ba\u011f\u0131ms\u0131z de\u011fi\u015fken: Bir \u015fehrin sakinlerinin say\u0131s\u0131<\/span><\/li>\n<li style=\"margin-bottom:12px; text-align:left\"> <span style=\"color:#101010;font-weight: normal;\">Ba\u011f\u0131ml\u0131 de\u011fi\u015fken: Arac\u0131n durumu \u2013 Ba\u011f\u0131ms\u0131z de\u011fi\u015fken: Arac\u0131n ya\u015f\u0131<\/span><\/li>\n<li style=\"margin-bottom:12px; text-align:left\"> <span style=\"color:#101010;font-weight: normal;\">Ba\u011f\u0131ml\u0131 de\u011fi\u015fken: Sivrisinek say\u0131s\u0131 \u2013 Ba\u011f\u0131ms\u0131z de\u011fi\u015fken: Ortam s\u0131cakl\u0131\u011f\u0131<\/span><\/li>\n<li style=\"text-align:left\"> <span style=\"color:#101010;font-weight: normal;\">Ba\u011f\u0131ml\u0131 de\u011fi\u015fken: \u015eemsiye talebi \u2013 Ba\u011f\u0131ms\u0131z de\u011fi\u015fken: Ayl\u0131k ya\u011fmurlu g\u00fcn say\u0131s\u0131<\/span><\/li>\n<\/ol>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"variable-dependiente-e-independiente-en-matematicas\"><\/span> Matematikte ba\u011f\u0131ml\u0131 ve ba\u011f\u0131ms\u0131z de\u011fi\u015fken<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Matematikte neden-sonu\u00e7 ili\u015fkisi genellikle bir ba\u011f\u0131ms\u0131z de\u011fi\u015fken ve bir ba\u011f\u0131ml\u0131 de\u011fi\u015fken kullan\u0131larak modellenir. B\u00f6ylece bir fonksiyon, ba\u011f\u0131ml\u0131 de\u011fi\u015fken ile ba\u011f\u0131ms\u0131z de\u011fi\u015fken aras\u0131nda var olan matematiksel ili\u015fkiyi tan\u0131mlar.<\/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-a58cbe7298ac465d4c41ba5184fdd2a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"67\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Ba\u011f\u0131ml\u0131 de\u011fi\u015fkenler genellikle <em>y<\/em> harfiyle temsil edilirken ba\u011f\u0131ms\u0131z de\u011fi\u015fkenleri belirtmek i\u00e7in genellikle <em>x<\/em> harfi kullan\u0131l\u0131r.<\/p>\n<p> \u00d6rne\u011fin <em>y=2x<\/em> fonksiyonu, ba\u011f\u0131ms\u0131z de\u011fi\u015fken <em>x<\/em> bir birim artt\u0131\u011f\u0131nda ba\u011f\u0131ml\u0131 de\u011fi\u015fken <em>y&#8217;nin<\/em> iki kat artt\u0131\u011f\u0131n\u0131 g\u00f6sterir.<\/p>\n<p> Matematik fonksiyonlar\u0131 hakk\u0131nda daha fazla bilgi edinmek i\u00e7in i\u015f orta\u011f\u0131 web sitemiz <u style=\"text-decoration-color:#FF8A05\"><em><strong>function.xyz&#8217;yi<\/strong><\/em><\/u> ziyaret edebilirsiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"variable-dependiente-e-independiente-en-estadistica\"><\/span> \u0130statistikte ba\u011f\u0131ml\u0131 ve ba\u011f\u0131ms\u0131z de\u011fi\u015fken<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Ancak ger\u00e7ekte iki de\u011fi\u015fken aras\u0131nda kesin bir matematiksel fonksiyonla tan\u0131mlanabilecek bir ili\u015fki bulmak \u00e7ok zordur \u00e7\u00fcnk\u00fc bazen ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin ayn\u0131 de\u011feri ba\u011f\u0131ml\u0131 de\u011fi\u015fkenin farkl\u0131 bir de\u011ferine neden olur.<\/p>\n<p> \u00d6rne\u011fin, bazen daha \u00e7ok \u00e7al\u0131\u015farak daha d\u00fc\u015f\u00fck not al\u0131r\u0131z ya da tam tersi, daha az \u00e7al\u0131\u015farak daha iyi not al\u0131r\u0131z. Dolay\u0131s\u0131yla \u00e7al\u0131\u015fmaya ay\u0131rd\u0131\u011f\u0131m\u0131z saat say\u0131s\u0131, al\u0131nan notu etkileyen tek fakt\u00f6r de\u011fildir; s\u0131nav\u0131n zorlu\u011funa veya \u00e7al\u0131\u015f\u0131lan konunun zorlu\u011funa g\u00f6re de de\u011fi\u015febilmektedir.<\/p>\n<p> Bu nedenle istatistikte genellikle biri ba\u011f\u0131ms\u0131z de\u011fi\u015fken, di\u011feri ba\u011f\u0131ml\u0131 de\u011fi\u015fken olacak iki de\u011fi\u015fken aras\u0131nda ili\u015fki olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in bir\u00e7ok deney yap\u0131l\u0131r. Daha sonra elde edilen sonu\u00e7lar, de\u011fi\u015fkenlerin ba\u011flant\u0131l\u0131 olup olmad\u0131\u011f\u0131n\u0131 kontrol etmek ve e\u011fer \u00f6yleyse ne t\u00fcr bir ili\u015fkiye sahip olduklar\u0131n\u0131 (pozitif, negatif, do\u011frusal, \u00fcstel vb.) g\u00f6rmek i\u00e7in grafiksel olarak temsil edilebilir. <\/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\/variable-independante-et-dependante.png\" alt=\"ba\u011f\u0131ms\u0131z ve ba\u011f\u0131ml\u0131 de\u011fi\u015fken\" class=\"wp-image-3430\" width=\"455\" height=\"310\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> En temel istatistiksel \u00e7al\u0131\u015fmalar bir ba\u011f\u0131ms\u0131z ve bir ba\u011f\u0131ml\u0131 de\u011fi\u015fkenle yap\u0131lsa da, bir ankette birden fazla ba\u011f\u0131ms\u0131z de\u011fi\u015fken olabilece\u011fini unutmay\u0131n.<\/p>\n<p> \u0130statistiksel \u00e7al\u0131\u015fma ger\u00e7ekle\u015ftirildikten sonra, bir tahmin yapmak ve b\u00f6ylece de\u011fi\u015fkenler aras\u0131ndaki ili\u015fkiyi modellemek i\u00e7in bir matematiksel fonksiyon hesaplanabilir. Yani normalde \u00f6nce istatistiksel bir model yap\u0131l\u0131r, ard\u0131ndan matematiksel bir model yap\u0131l\u0131r.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede ba\u011f\u0131ml\u0131 ve ba\u011f\u0131ms\u0131z de\u011fi\u015fkenlerin ne oldu\u011fu a\u00e7\u0131klanmaktad\u0131r. B\u00f6ylece, ba\u011f\u0131ml\u0131 de\u011fi\u015fken ile ba\u011f\u0131ms\u0131z de\u011fi\u015fken aras\u0131ndaki fark\u0131n ne oldu\u011funu, hangisinin ba\u011f\u0131ml\u0131 de\u011fi\u015fken hangisinin ba\u011f\u0131ms\u0131z oldu\u011funu nas\u0131l bilece\u011finizi \u00f6\u011frenecek ve ayr\u0131ca bu t\u00fcr de\u011fi\u015fkenlerin \u00e7e\u015fitli \u00f6rneklerini sunacaks\u0131n\u0131z. Ba\u011f\u0131ml\u0131 ve ba\u011f\u0131ms\u0131z de\u011fi\u015fken nedir? Ba\u011f\u0131ml\u0131 de\u011fi\u015fken, de\u011feri ba\u011f\u0131ms\u0131z de\u011fi\u015fken olan ba\u015fka bir de\u011fi\u015fkene ba\u011fl\u0131 olan de\u011fi\u015fkendir. Dolay\u0131s\u0131yla ba\u011f\u0131ml\u0131 [&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-169","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>Ba\u011f\u0131ml\u0131 ve Ba\u011f\u0131ms\u0131z De\u011fi\u015fken Aras\u0131ndaki Fark (\u00d6rnekler)<\/title>\n<meta name=\"description\" content=\"Burada ba\u011f\u0131ml\u0131 ve ba\u011f\u0131ms\u0131z de\u011fi\u015fkenlerin ne oldu\u011funu, aralar\u0131ndaki farklar\u0131n neler oldu\u011funu ve ba\u011f\u0131ml\u0131 ve ba\u011f\u0131ms\u0131z de\u011fi\u015fken \u00f6rneklerini bulacaks\u0131n\u0131z.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, 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