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lana66690 [7]
2 years ago
12

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 resp

ectively 10 and 25
Mathematics
1 answer:
IRINA_888 [86]2 years ago
5 0

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

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