{"id":702,"date":"2023-07-29T01:21:34","date_gmt":"2023-07-29T01:21:34","guid":{"rendered":"https:\/\/statorials.org\/tr\/ti-84-ikinci-dereceden-regresyon-hesaplayicisi\/"},"modified":"2023-07-29T01:21:34","modified_gmt":"2023-07-29T01:21:34","slug":"ti-84-ikinci-dereceden-regresyon-hesaplayicisi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/ti-84-ikinci-dereceden-regresyon-hesaplayicisi\/","title":{"rendered":"Ti-84 hesap makinesinde i\u0307kinci dereceden regresyon nas\u0131l ger\u00e7ekle\u015ftirilir"},"content":{"rendered":"<p><\/p>\n<hr>\n<p>\u0130ki de\u011fi\u015fkenin do\u011frusal bir ili\u015fkisi oldu\u011funda, <span style=\"color: #000000;\">ili\u015fkilerini \u00f6l\u00e7mek i\u00e7in<\/span> s\u0131kl\u0131kla <strong><a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-hesaplayicisi-ti-84\/\" target=\"_blank\" rel=\"noopener\">basit do\u011frusal regresyon<\/a><\/strong> <span style=\"color: #000000;\">kullanabiliriz<\/span> . <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5772 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadregstata1.png\" sizes=\"auto, \" srcset=\"\" alt=\"Do\u011frusal ili\u015fki \u00f6rne\u011fi\" width=\"442\" height=\"318\"><\/p>\n<p> <span style=\"color: #000000;\">Bununla birlikte, iki de\u011fi\u015fken ikinci dereceden bir ili\u015fkiye sahip oldu\u011funda, ili\u015fkilerini \u00f6l\u00e7mek i\u00e7in <strong>ikinci dereceden regresyonu<\/strong> kullanabiliriz.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5773 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadregstata2.png\" sizes=\"auto, \" srcset=\"\" alt=\"\u0130kinci dereceden ili\u015fki \u00f6rne\u011fi\" width=\"441\" height=\"319\"><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde, bir TI-84 hesap makinesinde ikinci dereceden regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: TI-84 hesap makinesinde ikinci dereceden regresyon<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00c7al\u0131\u015f\u0131lan saat say\u0131s\u0131 ile mutluluk aras\u0131ndaki ili\u015fkiyi anlamak istedi\u011fimizi varsayal\u0131m. 11 farkl\u0131 ki\u015fi i\u00e7in haftada \u00e7al\u0131\u015f\u0131lan saat say\u0131s\u0131 ve rapor edilen mutluluk d\u00fczeyi (0&#8217;dan 100&#8217;e kadar bir \u00f6l\u00e7ekte) hakk\u0131nda a\u015fa\u011f\u0131daki verilere sahibiz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6954 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadti1.png\" alt=\"\" width=\"150\" height=\"248\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">TI-84 hesap makinesinde ikinci dereceden regresyon ger\u00e7ekle\u015ftirmek i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 izleyin.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Verileri g\u00f6rselle\u015ftirin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130kinci dereceden regresyonu kullanmadan \u00f6nce, a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken (saat) ile yan\u0131t de\u011fi\u015fkeni (mutluluk) aras\u0131ndaki ili\u015fkinin ger\u00e7ekten ikinci dereceden oldu\u011fundan emin olmal\u0131y\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6ncelikle a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken ve yan\u0131t de\u011fi\u015fkeni i\u00e7in veri de\u011ferlerini girece\u011fiz. <span style=\"border: 1px solid black;\">Stat&#8217;a<\/span> ve ard\u0131ndan <span style=\"border: 1px solid black;\">EDIT&#8217;e<\/span> bas\u0131n. A\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken (\u00e7al\u0131\u015f\u0131lan saat) i\u00e7in a\u015fa\u011f\u0131daki de\u011ferleri L1 s\u00fctununa ve yan\u0131t de\u011fi\u015fkeni (mutluluk) i\u00e7in de\u011ferleri L2 s\u00fctununa girin:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6955 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadti2.png\" alt=\"TI-84 hesaplay\u0131c\u0131s\u0131ndaki ham veriler\" width=\"347\" height=\"229\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra <strong>istatistik grafi\u011fi<\/strong> men\u00fcs\u00fcne eri\u015fmek i\u00e7in <span style=\"border: 1px solid black;\">2&#8217;ye<\/span> ve ard\u0131ndan <span style=\"border: 1px solid black;\">y=<\/span> tu\u015funa bas\u0131n. Grafik1&#8217;i vurgulay\u0131n ve <span style=\"border: 1px solid black;\">Enter&#8217;a<\/span> bas\u0131n. \u00c7izimin etkinle\u015ftirildi\u011finden ve Xlist ve Ylist i\u00e7in s\u0131ras\u0131yla L1 ve L2&#8217;nin se\u00e7ildi\u011finden emin olun:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6957 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadti3.png\" alt=\"Nokta bulutu TI-84'\u00fcm\u00fcz var\" width=\"343\" height=\"169\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Ard\u0131ndan <span style=\"border: 1px solid black;\">yak\u0131nla\u015ft\u0131r&#8217;a<\/span> ve ard\u0131ndan <span style=\"border: 1px solid black;\">9:ZoomStat&#8217;a<\/span> bas\u0131n. Bu otomatik olarak a\u015fa\u011f\u0131daki nokta bulutunu \u00fcretecektir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6958 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadti5.png\" alt=\"TI-84 Hesaplay\u0131c\u0131da \u0130kinci Dereceden Da\u011f\u0131l\u0131m Grafi\u011fi\" width=\"377\" height=\"237\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Mutlulu\u011fun, \u00e7al\u0131\u015f\u0131lan saat say\u0131s\u0131 s\u0131f\u0131rdan belirli bir noktaya kadar artt\u0131k\u00e7a artma e\u011filiminde oldu\u011funu, ancak daha sonra \u00e7al\u0131\u015f\u0131lan saat say\u0131s\u0131 artt\u0131k\u00e7a azalmaya ba\u015flad\u0131\u011f\u0131n\u0131 g\u00f6rebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Da\u011f\u0131l\u0131m grafi\u011findeki bu ters &#8220;U&#8221; \u015fekli, \u00e7al\u0131\u015f\u0131lan saat ile mutluluk aras\u0131nda ikinci dereceden bir ili\u015fki oldu\u011funu g\u00f6sterir; bu, bu ili\u015fkiyi \u00f6l\u00e7mek i\u00e7in ikinci dereceden regresyon kullanmam\u0131z gerekti\u011fi anlam\u0131na gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: \u0130kinci dereceden regresyon ger\u00e7ekle\u015ftirin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra ikinci dereceden regresyon ger\u00e7ekle\u015ftirece\u011fiz. <span style=\"border: 1px solid black;\">Stat&#8217;a<\/span> bas\u0131n ve ard\u0131ndan <strong>CALC&#8217;ye<\/strong> gidin. Daha sonra <strong>5:QuadReg&#8217;e<\/strong> gidin ve <span style=\"border: 1px solid black;\">Enter<\/span> tu\u015funa bas\u0131n.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6959 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadti6.png\" alt=\"TI-84 hesap makinesinde ikinci dereceden regresyon\" width=\"356\" height=\"208\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Xlist ve Ylist i\u00e7in L1 ve L2&#8217;nin se\u00e7ildi\u011finden emin olun \u00e7\u00fcnk\u00fc bunlar verilerimizi girmek i\u00e7in kulland\u0131\u011f\u0131m\u0131z s\u00fctunlard\u0131r. <strong>FreqList&#8217;i<\/strong> bo\u015f b\u0131rak\u0131n. <strong>Hesapla<\/strong> se\u00e7ene\u011fine ilerleyin ve <span style=\"border: 1px solid black;\">Enter<\/span> tu\u015funa bas\u0131n.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6960 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadti7.png\" alt=\"TI-84 hesap makinesinde ikinci dereceden regresyon \u00f6rne\u011fi\" width=\"326\" height=\"135\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00e7\u0131kt\u0131 otomatik olarak g\u00f6r\u00fcnecektir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6962 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadti8.png\" alt=\"TI-84 hesap makinesinde ikinci dereceden regresyon \u00e7\u0131kt\u0131s\u0131\" width=\"322\" height=\"127\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: Sonucu yorumlay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Sonu\u00e7lardan tahmin edilen regresyon denkleminin \u015fu \u015fekilde oldu\u011funu g\u00f6rebiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>mutluluk = -0,1012 (saat) <sup>2<\/sup> + 6,7444 (saat) \u2013 18,2536<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu denklemi, bir bireyin haftada ka\u00e7 saat \u00e7al\u0131\u015ft\u0131\u011f\u0131 g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda tahmin edilen mutlulu\u011funu bulmak i\u00e7in kullanabiliriz.<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">\u00d6rne\u011fin haftada 60 saat \u00e7al\u0131\u015fan bir ki\u015finin mutluluk d\u00fczeyi <strong>22,09<\/strong> olacakt\u0131r:<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">mutluluk = -0,1012(60) <sup>2<\/sup> + 6,7444(60) \u2013 18,2536 = 22,09<\/span><\/p>\n<p> <span style=\"color: #000000;\">Haftada 30 saat \u00e7al\u0131\u015fan bir ki\u015finin ise mutluluk d\u00fczeyi <strong>92,99<\/strong> olmal\u0131d\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">mutluluk = -0,1012(30) <sup>2<\/sup> + 6,7444(30) \u2013 18,2536 = 92,99<\/span><\/p>\n<p> <span style=\"color: #000000;\">Regresyon modeli i\u00e7in r karenin r <sup>2<\/sup> = <strong>0,9602<\/strong> oldu\u011funu da g\u00f6rebiliriz. Bu, a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenler taraf\u0131ndan a\u00e7\u0131klanabilen yan\u0131t de\u011fi\u015fkenindeki varyans\u0131n oran\u0131d\u0131r. Bu \u00f6rnekte mutluluktaki de\u011fi\u015fimin %96,02&#8217;si <em>saat<\/em> ve <em>saatlerle a\u00e7\u0131klanabilmektedir <sup>2<\/sup><\/em> .<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130ki de\u011fi\u015fkenin do\u011frusal bir ili\u015fkisi oldu\u011funda, ili\u015fkilerini \u00f6l\u00e7mek i\u00e7in s\u0131kl\u0131kla basit do\u011frusal regresyon kullanabiliriz . Bununla birlikte, iki de\u011fi\u015fken ikinci dereceden bir ili\u015fkiye sahip oldu\u011funda, ili\u015fkilerini \u00f6l\u00e7mek i\u00e7in ikinci dereceden regresyonu kullanabiliriz. Bu e\u011fitimde, bir TI-84 hesap makinesinde ikinci dereceden regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r. \u00d6rnek: TI-84 hesap makinesinde ikinci dereceden regresyon \u00c7al\u0131\u015f\u0131lan saat say\u0131s\u0131 ile [&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-702","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>TI-84 Hesap Makinesinde \u0130kinci Dereceden Regresyon Nas\u0131l Ger\u00e7ekle\u015ftirilir - Statorials<\/title>\n<meta name=\"description\" content=\"Ad\u0131m ad\u0131m bir \u00f6rnek de dahil olmak \u00fczere, TI-84 hesap makinesinde ikinci dereceden regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin basit bir a\u00e7\u0131klama.\" \/>\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\/ti-84-ikinci-dereceden-regresyon-hesaplayicisi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"TI-84 Hesap Makinesinde \u0130kinci Dereceden Regresyon Nas\u0131l Ger\u00e7ekle\u015ftirilir - 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