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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class11  >>  Statistics
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The coefficient of correlation $r$ is independent of

$\begin {array} {1 1} (A)\;Origin \: only & \quad (B)\;Scale \: only \\ (C)\;neither\: scale \: nor \: origin & \quad (D)\;both \: origin \: and \: scale \end {array}$

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As $ r = \large\frac{ cov(x,y)}{\sqrt{var(x).var(y)}}$
which is independent of both change of scale and origin.
Hence (D) is right option
answered Jan 29, 2014 by thanvigandhi_1

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