{"id":3051,"date":"2023-07-19T11:03:28","date_gmt":"2023-07-19T11:03:28","guid":{"rendered":"https:\/\/statorials.org\/tr\/dogrusal-olmayan-iliskilere-ornekler\/"},"modified":"2023-07-19T11:03:28","modified_gmt":"2023-07-19T11:03:28","slug":"dogrusal-olmayan-iliskilere-ornekler","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/dogrusal-olmayan-iliskilere-ornekler\/","title":{"rendered":"De\u011fi\u015fkenler aras\u0131ndaki do\u011frusal olmayan ili\u015fkilere 5 \u00f6rnek"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><span style=\"color: #000000;\">\u00c7o\u011fu istatistik dersinde \u00f6\u011frenciler de\u011fi\u015fkenler aras\u0131ndaki <strong>do\u011frusal ili\u015fkileri<\/strong> \u00f6\u011frenirler.<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunlar, bir de\u011fi\u015fkendeki art\u0131\u015f\u0131n ba\u015fka bir de\u011fi\u015fkendeki \u00f6ng\u00f6r\u00fclebilir bir art\u0131\u015fla ili\u015fkili oldu\u011fu ili\u015fkilerdir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Buna bir \u00f6rnek, bir basketbol ma\u00e7\u0131nda oynanan dakika say\u0131s\u0131n\u0131n kazan\u0131lan toplam puana oran\u0131 olabilir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-26196 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/non-lineaire11.jpg\" alt=\"\" width=\"543\" height=\"355\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Daha fazla dakika oynayan oyuncular daha fazla puan kazanma e\u011filimindedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak de\u011fi\u015fkenler aras\u0131nda <strong>do\u011frusal olmayan ili\u015fkiler<\/strong> de olabilir ve bunlar ger\u00e7ek d\u00fcnyada s\u00fcrekli olarak ortaya \u00e7\u0131kar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde, ger\u00e7ek d\u00fcnyadaki de\u011fi\u015fkenler aras\u0131ndaki do\u011frusal olmayan ili\u015fkilere ili\u015fkin be\u015f \u00f6rnek sunulmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: \u0130kinci dereceden ili\u015fkiler<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Ger\u00e7ek d\u00fcnyada en yayg\u0131n do\u011frusal olmayan ili\u015fkilerden biri de\u011fi\u015fkenler aras\u0131ndaki <strong>ikinci dereceden ili\u015fkidir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir da\u011f\u0131l\u0131m grafi\u011fi \u00fczerinde \u00e7izildi\u011finde bu ili\u015fki genellikle &#8220;U&#8221; \u015fekline sahiptir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir \u00f6rnek, genel mutlulukla kar\u015f\u0131la\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda haftal\u0131k toplam \u00e7al\u0131\u015fma saati olabilir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-26197 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/non-lineaire12.jpg\" alt=\"\" width=\"536\" height=\"359\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u00c7al\u0131\u015fma saatleri s\u0131f\u0131rdan artt\u0131k\u00e7a genel mutluluk artma e\u011filiminde oluyor ancak belirli bir e\u015fi\u011fin \u00f6tesinde daha fazla \u00e7al\u0131\u015fma saati asl\u0131nda mutlulu\u011fun azalmas\u0131na neden oluyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu ters \u201cU\u201d \u015fekli, iki de\u011fi\u015fken aras\u0131ndaki ikinci dereceden ili\u015fkinin karakteristik bi\u00e7imidir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: K\u00fcbik ili\u015fkiler<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Ger\u00e7ek d\u00fcnyada yayg\u0131n olan di\u011fer bir do\u011frusal olmayan ili\u015fki, de\u011fi\u015fkenler aras\u0131ndaki <strong>k\u00fcbik ili\u015fkidir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir da\u011f\u0131l\u0131m grafi\u011fi \u00fczerinde \u00e7izildi\u011finde bu ili\u015fki genellikle iki farkl\u0131 e\u011fri g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu t\u00fcr bir ili\u015fki genellikle termodinamik alan\u0131ndaki de\u011fi\u015fkenler aras\u0131nda mevcuttur:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-26198 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/non-lineaire13.jpg\" alt=\"\" width=\"541\" height=\"364\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Grafikte iki farkl\u0131 e\u011fri oldu\u011funa ve X de\u011fi\u015fkeni ile Y de\u011fi\u015fkeni aras\u0131ndaki ili\u015fkinin a\u00e7\u0131k\u00e7a do\u011frusal olmad\u0131\u011f\u0131na dikkat edin.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 3: \u00dcstel ili\u015fkiler<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Ger\u00e7ek d\u00fcnyada yayg\u0131n olan bir di\u011fer do\u011frusal olmayan ili\u015fki ise de\u011fi\u015fkenler aras\u0131ndaki <strong>\u00fcstel ili\u015fkidir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir da\u011f\u0131l\u0131m grafi\u011fi \u00fczerinde \u00e7izildi\u011finde bu ili\u015fki, x eksenindeki de\u011fi\u015fken artt\u0131k\u00e7a daha belirgin hale gelen benzersiz bir e\u011fri sergiler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00dcstel ili\u015fkinin iyi bilinen bir \u00f6rne\u011fi, bambu bitkilerinin \u00f6mr\u00fc ve y\u0131ll\u0131k b\u00fcy\u00fcmeleridir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-26199 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/non-lineaire14.jpg\" alt=\"\" width=\"560\" height=\"360\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">B\u00fcy\u00fcmenin ilk birka\u00e7 y\u0131l\u0131nda, bambu bitkisi \u00e7ok yava\u015f b\u00fcy\u00fcr, ancak belli bir ya\u015fa ula\u015ft\u0131\u011f\u0131nda boyu h\u0131zla artar ve h\u0131zl\u0131 bir \u015fekilde b\u00fcy\u00fcr.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 4: Logaritmik ili\u015fkiler<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Ger\u00e7ek d\u00fcnyada yayg\u0131n olan bir di\u011fer do\u011frusal olmayan ili\u015fki ise de\u011fi\u015fkenler aras\u0131ndaki <strong>logaritmik ili\u015fkidir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir da\u011f\u0131l\u0131m grafi\u011fi \u00fczerinde \u00e7izildi\u011finde bu ili\u015fki, x eksenindeki de\u011fi\u015fken artt\u0131k\u00e7a daha az belirgin hale gelen benzersiz bir e\u011fri sergiler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Logaritmik ili\u015fkiye bir \u00f6rnek, ak\u0131ll\u0131 ev teknolojilerinin verimlili\u011fi ile zaman aras\u0131ndaki ili\u015fkidir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-26200 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/non-lineaire15.jpg\" alt=\"\" width=\"516\" height=\"349\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Yeni ak\u0131ll\u0131 ev teknolojisi (elektrikli s\u00fcp\u00fcrge veya ba\u011f\u0131ms\u0131z klima gibi) bir eve kuruldu\u011funda, nas\u0131l daha verimli hale getirilece\u011fini h\u0131zla \u00f6\u011frenir, ancak belirli bir noktaya ula\u015ft\u0131\u011f\u0131nda verimlilikte maksimum e\u015fi\u011fe ula\u015f\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 5: Kosin\u00fcs ili\u015fkileri<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Ger\u00e7ek d\u00fcnyada yayg\u0131n olan bir di\u011fer do\u011frusal olmayan ili\u015fki ise de\u011fi\u015fkenler aras\u0131ndaki <strong>kosin\u00fcs ili\u015fkisidir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir da\u011f\u0131l\u0131m grafi\u011fi \u00fczerinde \u00e7izildi\u011finde bu ili\u015fki bir \u201cdalga\u201d \u015fekline sahiptir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kosin\u00fcs ili\u015fkisine bir \u00f6rnek, ses dalgalar\u0131n\u0131n frekans\u0131 ile zaman aras\u0131ndaki ili\u015fkidir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-26201 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/non-lineaire16.jpg\" alt=\"\" width=\"536\" height=\"331\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u0130li\u015fkinin son derece do\u011frusal olmayan bir &#8220;dalga&#8221; \u015fekline sahip oldu\u011funa dikkat edin.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde Excel&#8217;de farkl\u0131 t\u00fcrde do\u011frusal olmayan regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/ikinci-dereceden-regresyon-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de ikinci dereceden regresyon nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/kubik-regresyon-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de k\u00fcbik regresyon nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/ustel-regresyon-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de \u00dcstel Regresyon Nas\u0131l Ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/logaritmik-regresyon-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de logaritmik regresyon nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00c7o\u011fu istatistik dersinde \u00f6\u011frenciler de\u011fi\u015fkenler aras\u0131ndaki do\u011frusal ili\u015fkileri \u00f6\u011frenirler. Bunlar, bir de\u011fi\u015fkendeki art\u0131\u015f\u0131n ba\u015fka bir de\u011fi\u015fkendeki \u00f6ng\u00f6r\u00fclebilir bir art\u0131\u015fla ili\u015fkili oldu\u011fu ili\u015fkilerdir. Buna bir \u00f6rnek, bir basketbol ma\u00e7\u0131nda oynanan dakika say\u0131s\u0131n\u0131n kazan\u0131lan toplam puana oran\u0131 olabilir: Daha fazla dakika oynayan oyuncular daha fazla puan kazanma e\u011filimindedir. Ancak de\u011fi\u015fkenler aras\u0131nda do\u011frusal olmayan ili\u015fkiler de olabilir ve [&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-3051","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>De\u011fi\u015fkenler aras\u0131ndaki do\u011frusal olmayan ili\u015fkilere 5 \u00f6rnek - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, ger\u00e7ek d\u00fcnya senaryolar\u0131ndaki do\u011frusal olmayan ili\u015fkilerin \u00e7e\u015fitli \u00f6rnekleri sunulmaktad\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\/dogrusal-olmayan-iliskilere-ornekler\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"De\u011fi\u015fkenler aras\u0131ndaki do\u011frusal olmayan ili\u015fkilere 5 \u00f6rnek - 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