Formula for Pearson’s r

Provide the formula for the Pearson’s r.

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One standard formula for measuring the correlation is the correlation coefficient r, sometimes known as the Pearson’s r. provided two time series, X and Y with means X? and Y?, each with n elements, the formula for r is

S (xi – X?) (yi – Y?)

(S (xi – X?)2 S(yi – Y?)2)1/2

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