DescriptionCorrelation examples.png	See below.
Date	8 December 2007 (original upload date)
Source	Transferred from en.wikipedia to Commons by jtneill.  This diagram was created with Mathematica.
Author	Imagecreator at English Wikipedia
Other versions	File:CovrarianceCorrelation.svg, File:Correlation examples2.svg

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File:CovarianceCorrelation.svg is a vector version of this file. It should be used in place of this PNG file when not inferior. File:Correlation examples.png → File:CovarianceCorrelation.svg For more information, see Help:SVG. In other languages Alemannisch ∙ العربية ∙ беларуская (тарашкевіца) ∙ български ∙ বাংলা ∙ català ∙ нохчийн ∙ čeština ∙ dansk ∙ Deutsch ∙ Ελληνικά ∙ English ∙ British English ∙ Esperanto ∙ español ∙ eesti ∙ euskara ∙ فارسی ∙ suomi ∙ français ∙ Frysk ∙ galego ∙ Alemannisch ∙ עברית ∙ हिन्दी ∙ hrvatski ∙ magyar ∙ հայերեն ∙ Bahasa Indonesia ∙ Ido ∙ italiano ∙ 日本語 ∙ ქართული ∙ 한국어 ∙ lietuvių ∙ македонски ∙ മലയാളം ∙ Bahasa Melayu ∙ မြန်မာဘာသာ ∙ norsk bokmål ∙ Plattdüütsch ∙ Nederlands ∙ norsk nynorsk ∙ norsk ∙ occitan ∙ polski ∙ prūsiskan ∙ português ∙ português do Brasil ∙ română ∙ русский ∙ sicilianu ∙ Scots ∙ slovenčina ∙ slovenščina ∙ српски / srpski ∙ svenska ∙ தமிழ் ∙ ไทย ∙ Türkçe ∙ татарча / tatarça ∙ українська ∙ vèneto ∙ Tiếng Việt ∙ 中文 ∙ 中文（中国大陆） ∙ 中文（简体） ∙ 中文（繁體） ∙ 中文（马来西亚） ∙ 中文（新加坡） ∙ 中文（臺灣） ∙ +/−

 

An example of the correlation of x and y for various distributions of (x,y) pairs. It was created by this Mathematica 6 code, which I wrote and release into the public domain (needs makePlot!):

n = 2000;
GraphicsArray[{
  Table[makePlot[
    Table[{RandomReal[NormalDistribution[0, 1]], (1 - Abs[w])*
        RandomReal[NormalDistribution[0, 1]]} . 
      RotationMatrix[-Sign[w]*Pi/4], {i, -1, 1, 2./n}], 1000], {w, 
    1, -1, -1/3}],
  Table[makePlot[Table[{x, slope*x}, {x, -1, 1, 2./n}], 100], {slope, 
    1, -1, -1/3}],
  {
   makePlot[
    Table[{x + RandomReal[]/3, 
      4 (x^2 - 1/2)^2 + RandomReal[]/500} , {x, -1, 1, 2./n}], 2000],
   makePlot[
    Table[{RandomReal[{-1, 1}], RandomReal[{-1, 1}]} . 
      RotationMatrix[-Pi/8], {x, -1, 1, 2./n}], 1400],
   makePlot[
    Table[{RandomReal[{-1, 1}], RandomReal[{-1, 1}]} . 
      RotationMatrix[-Pi/4], {x, -1, 1, 2./n}], 1400],
   makePlot[Table[{x, x^2 + RandomReal[]}/2, {x, -1, 1, 2./n}], 
    1400],
   makePlot[
    Table[{x, x^2 + RandomReal[]/2}*(RandomInteger[1]*2 - 1), {x, -1, 
      1, 2./n}], 1000],
   makePlot[
    Table[{Sin[x*Pi] + RandomReal[NormalDistribution[0, 1/8]], 
      Cos[x*Pi] + RandomReal[NormalDistribution[0, 1/8]]}, {x, -1, 1, 
      2./n}], 1400],
   makePlot[
    Table[{RandomReal[NormalDistribution[0, 1/3]], 
       RandomReal[
        NormalDistribution[0, 1/3]]} + {RandomInteger[1]*2 - 1, 
       RandomInteger[1]*2 - 1}, {x, -1, 1, 2./n}], 1400]
   }
  }]

This work has been released into the public domain by its author, Imagecreator at English Wikipedia. This applies worldwide. In some countries this may not be legally possible; if so: Imagecreator grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.Public domainPublic domainfalsefalse

• 2007-12-08 19:16 Imagecreator 824×346×8 (20371 bytes) == Summary == An example of the correlation of x and y for various distributions of (x,y) pairs. It was created by this Mathematica 6 code, which I wrote and release into the public domain: <pre> (*Several sets of (x,y) points, with the correlation coef
• 2007-12-08 18:48 Imagecreator 824×346×8 (21374 bytes) An example of the correlation of x and y for various distributions of (x,y) pairs. It was created by this Mathematica 6 code, which I wrote and release into the public domain: (*Several sets of (x,y) points, with the correlation coefficient of x \ and y