Question

Which of the following statements about correlation coefficient and regression coefficients are correct?
(A) The correlation coefficient is unaffected by change of origin and scale
(B) Regression coefficients are independent of change of origin but not of scale
(C) Correlation coefficient is the geometric mean of two regression coefficients
(D) If one regression coefficient is greater than 1, the other must also be greater than 1

• A. (A), (B) and (D) only.
• B. (A), (B) and (C) only.
• C. (A), (B), (C) and (D)
• D. (B), (C) and (D) only.

Hint:

Correlation provides a measure of the strength and direction of a linear relationship between two variables, which is scale invariant.

Answer 1

The Correct Option is B

The statements (A), (B), and (C) are correct. Statement (D) is incorrect because regression coefficients are not necessarily symmetric in their influence..