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r    =    Σ(X − )(Y − ) 
√ [Σ(X − )2 Σ(Y − )2]
 
     =    ΣXY −(ΣX)(ΣY)/n
√[ΣX2 −(ΣX)2/n)] √[ΣY2 − (ΣY)2/n]
where
  • r is the Pearson product moment correlation coefficient,
  • X and Y are the individual observations of the two variables,
  • and are the arithmetic means of the two sets of observations.
  • n is the number of bivariate observations