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Calculate the coefficient of correlation between X and Y series from the following data:

Description X Y
Number of pairs of observation 15 15
Arithmetic mean 25 18
Standard deviation 3.01 3.03
Sum of squares of deviation from the arithmetic mean 136 138

The summation of product deviations of X and Y series from their respective arithmetic means is 122.

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N = 15, \(\bar{X}\) = 25, \(\bar{Y}\) = 18, x = X – \(\bar{X}\), y = Y – \(\bar{Y}\), Σx2 = 136, Σy2 = 138, Σxy = 122 

Correlation coefficient

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