UGC NET COMMERCE December 2018 Q44

44Choose the correct code for the following statements being correct or incorrect.
Statement I: The geometric mean of the two regression coefficients of X and Y variables gives the value of the coefficient of correlation.
Statement II: If the population distribution is not normal and a sampling distribution of mean is prepared by taking small sized samples, the sampling distribution of mean is not normal.

Option : C
Explanation : The regression coefficients b_yx and b_xy may be expressed in terms of the correlation coefficient (r) and the standard deviations of x and y (viz. σ_x and σ_y) by the relations

Thus, the correlation coefficient r is the geometric mean of the two regression coefficients b_yx and b_xy.

Forgot your password?

I agree with the Terms.