Question

If the coefficient of correlation between \(x\) and \(y\) is 0.8, then the regression coefficient of \(y\) on \(x\) is:

• A. Always 0.8
• B. Always greater than 0.8
• C. Depends on standard deviations
• D. Always less than 0.8

Hint:

Regression coefficient ≠ correlation coefficient.

Answer 1

The Correct Option is C

\[ b_{yx}=r\frac{\sigma_y}{\sigma_x} \] Hence it depends on standard deviations.