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Find the coefficient of correlation between and X and Y if covariance between X and Y is 15 and the variance of X and Y are respectively 10 and 25

1 Answer

1 vote

Answer:

0.95

Explanation:


Correlation \ coefficient \ (r) = (covaraince \ between \ X \ and \ Y )/(SD_X * SD_Y )


Correlation \ coefficient \ (r) = (15 )/(10^(1/2) * 25^(1/2) )


Correlation \ coefficient \ (r) = (15 )/(3.162 * 5 )


Correlation \ coefficient \ (r) = (15 )/(15.81 )


Correlation \ coefficient \ (r) \simeq 0.95

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