Discussion
For two random variables X & Y, covariance measures :
Answer: A
Covariance measures the direction of the relationship between two variables.
Covariance is the average product of deviations from the means, \(Cov(X,Y) = E[(X - \mu_{X})(Y - \mu_{Y})]\). A positive value means the variables tend to move together, and a negative value that they move in opposite directions.
Its size depends on the units of measurement, so it does not show the strength of the relationship; that is what the correlation coefficient does, by dividing covariance by the two standard deviations. So the key rejects 'Both (A) and (B)', and the variances of X and Y are separate measures of each variable's spread.
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