{"id":167,"date":"2023-08-04T17:15:42","date_gmt":"2023-08-04T17:15:42","guid":{"rendered":"https:\/\/statorials.org\/tr\/bagimli-degisken\/"},"modified":"2023-08-04T17:15:42","modified_gmt":"2023-08-04T17:15:42","slug":"bagimli-degisken","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/bagimli-degisken\/","title":{"rendered":"Ba\u011f\u0131ml\u0131 de\u011fi\u015fken"},"content":{"rendered":"

Bu makalede ba\u011f\u0131ml\u0131 de\u011fi\u015fkenlerin ne oldu\u011fu a\u00e7\u0131klanmaktad\u0131r. B\u00f6ylece matematikte ve istatistikte bir de\u011fi\u015fkenin ba\u011f\u0131ml\u0131 olmas\u0131n\u0131n ne anlama geldi\u011fini ke\u015ffedecek ve buna ek olarak ba\u011f\u0131ml\u0131 de\u011fi\u015fkenlerin \u00e7e\u015fitli \u00f6rneklerini g\u00f6rebileceksiniz. <\/p>\n

<\/span> Ba\u011f\u0131ml\u0131 de\u011fi\u015fken nedir?<\/span><\/h2>\n

Ba\u011f\u0131ml\u0131 de\u011fi\u015fken,<\/strong> de\u011feri ba\u015fka bir de\u011fi\u015fkenin de\u011ferine ba\u011fl\u0131 olan bir de\u011fi\u015fkendir. Ba\u015fka bir deyi\u015fle ba\u011f\u0131ml\u0131 de\u011fi\u015fkenin de\u011feri, ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin ald\u0131\u011f\u0131 de\u011fere ba\u011fl\u0131 olarak de\u011fi\u015fecektir.<\/p>\n

Genel olarak ba\u011f\u0131ml\u0131 de\u011fi\u015fken genellikle y ekseninde (dikey eksen) y<\/em> harfiyle temsil edilir.<\/p>\n

\u00d6rne\u011fin bir hisse senedinin fiyat\u0131, \u015firketin ekonomik sonucu, yat\u0131r\u0131mc\u0131 say\u0131s\u0131, \u015firketle ilgili son haberler gibi bir\u00e7ok de\u011fi\u015fkene ba\u011fl\u0131 olan ba\u011f\u0131ml\u0131 bir de\u011fi\u015fkendir. <\/p>\n

<\/span> Ba\u011f\u0131ml\u0131 De\u011fi\u015fken \u00d6rnekleri<\/span><\/h2>\n

Art\u0131k ba\u011f\u0131ml\u0131 de\u011fi\u015fkenin tan\u0131m\u0131n\u0131 bildi\u011fimize g\u00f6re, kavram\u0131 tam olarak anlamak i\u00e7in bu t\u00fcr de\u011fi\u015fkenlerin birka\u00e7 \u00f6rne\u011fini g\u00f6rece\u011fiz.<\/p>\n

    \n
  • 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
  • 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
  • M\u00fc\u015fterinin memnuniyet d\u00fczeyi (ba\u011f\u0131ml\u0131 de\u011fi\u015fken), sunulan hizmetin kalitesine (ba\u011f\u0131ms\u0131z de\u011fi\u015fken) ba\u011fl\u0131 olarak de\u011fi\u015fir.<\/span><\/li>\n
  • 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
  • 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<\/ul>\n

    <\/span> Matematikte ba\u011f\u0131ml\u0131 de\u011fi\u015fken<\/span><\/h2>\n

    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

    \"y=f(x)\"<\/p>\n<\/p>\n

    Ba\u011f\u0131ml\u0131 de\u011fi\u015fkenler genellikle y<\/em> harfiyle temsil edilirken ba\u011f\u0131ms\u0131z de\u011fi\u015fkenleri belirtmek i\u00e7in genellikle x<\/em> harfi kullan\u0131l\u0131r.<\/p>\n

    \u00d6rne\u011fin y=2x<\/em> fonksiyonu, ba\u011f\u0131ms\u0131z de\u011fi\u015fken x<\/em> bir birim artt\u0131\u011f\u0131nda ba\u011f\u0131ml\u0131 de\u011fi\u015fken y’nin<\/em> iki kat artt\u0131\u011f\u0131n\u0131 g\u00f6sterir.<\/p>\n

    Matematik fonksiyonlar\u0131 hakk\u0131nda daha fazla bilgi edinmek i\u00e7in i\u015f orta\u011f\u0131 web sitemiz function.xyz’yi<\/strong><\/em><\/u> ziyaret edebilirsiniz. <\/p>\n

    <\/span> \u0130statistiklerde ba\u011f\u0131ml\u0131 de\u011fi\u015fken<\/span><\/h2>\n

    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

    \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

    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

    \"ba\u011f\u0131ms\u0131z<\/figure>\n

    En temel istatistiksel \u00e7al\u0131\u015fmalar bir ba\u011f\u0131ms\u0131z ve bir ba\u011f\u0131ml\u0131 de\u011fi\u015fkenle y\u00fcr\u00fct\u00fclse de, bir ankette birden fazla ba\u011f\u0131ms\u0131z de\u011fi\u015fken olabilece\u011fini unutmay\u0131n.<\/p>\n

    \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":"

    Bu makalede ba\u011f\u0131ml\u0131 de\u011fi\u015fkenlerin ne oldu\u011fu a\u00e7\u0131klanmaktad\u0131r. B\u00f6ylece matematikte ve istatistikte bir de\u011fi\u015fkenin ba\u011f\u0131ml\u0131 olmas\u0131n\u0131n ne anlama geldi\u011fini ke\u015ffedecek ve buna ek olarak ba\u011f\u0131ml\u0131 de\u011fi\u015fkenlerin \u00e7e\u015fitli \u00f6rneklerini g\u00f6rebileceksiniz. Ba\u011f\u0131ml\u0131 de\u011fi\u015fken nedir? Ba\u011f\u0131ml\u0131 de\u011fi\u015fken, de\u011feri ba\u015fka bir de\u011fi\u015fkenin de\u011ferine ba\u011fl\u0131 olan bir de\u011fi\u015fkendir. Ba\u015fka bir deyi\u015fle ba\u011f\u0131ml\u0131 de\u011fi\u015fkenin de\u011feri, ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin ald\u0131\u011f\u0131 de\u011fere ba\u011fl\u0131 olarak de\u011fi\u015fecektir. […]<\/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-167","post","type-post","status-publish","format-standard","hentry","category-istatistik"],"yoast_head":"\n\u25b7 Ba\u011f\u0131ml\u0131 de\u011fi\u015fken nedir? 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