Question

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

Answer 1

Answer:

0.95

Step-by-step explanation:

$Correlation \ coefficient \ (r) = \dfrac{covaraince \ between \ X \ and \ Y }{SD_X \times SD_Y }$

$Correlation \ coefficient \ (r) = \dfrac{15 }{10^{1/2} \times 25^{1/2} }$

$Correlation \ coefficient \ (r) = \dfrac{15 }{3.162 \times 5 }$

$Correlation \ coefficient \ (r) = \dfrac{15 }{15.81 }$

$Correlation \ coefficient \ (r) \simeq 0.95$