Question

Read the following statements and choose the correct option. (I) The correlation coefficient and the regression coefficients are of the same sign. (II) The correlation coefficient is the arithmetic mean between the regression coefficients. (III) The product of two regression coefficients is always equal to 1. (IV) Both the regression coefficients cannot be numerically greater than unity.

Statement 1: Two regression coefficients cannot have the same sign. Statement 2: Both the regression coefficients can be numerically greater than unity. Which one of the following is correct?