Browse Questions

# The coefficient of correlation $r$ is independent of

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

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