If covariance of X and Y is 12·3, variance of X is 16·4 and variance of Y is 13·8, then correlation…
The correlation coefficient is approximately 0·82. Correlation equals covariance divided by the product of the standard deviations, so r = 12.3 / √(16.4 × 13.8) = 12.3 /…
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If covariance of X and Y is 12·3, variance of X is 16·4 and variance of Y is 13·8, then correlation coefficient (r) will be approximately
Answer and explanation
Correct answer B
The correlation coefficient is approximately 0·82. Correlation equals covariance divided by the product of the standard deviations, so r = 12.3 / √(16.4 × 13.8) = 12.3 / √226.32 = 0.8176051987…. Rounding to two decimal places gives 0.82.
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West Bengal SET (WB SET)