Re: Correlation coefficient: proving it's between -1 and 1
- From: "W. Dale Hall" <mailtodhall@xxxxxxxxx>
- Date: Thu, 06 Oct 2005 17:24:13 GMT
Benjamin wrote:
How do you go about showing this?
rho = cov(X,Y) / (sigmaX)(sigmaY)
Presuming you mean |rho| <= 1.
Isn't this a direct conclusion from applying the Cauchy-Schwartz-Bunyakovskii inequality to the definition of rho? Google this:
cauchy-schwarz "correlation coefficient"
to see lots of hints and maybe even a simple proof.
Dale .
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