Question

If correlation coefficient be zero, then the lines of regression will be

• A. Parallel to axes
• B. Perpendicular to axes
• C. Inclined at any angle with axes
• D. Coincident

Answer 1

Answer: (A)

Parallel to axes

Answer 2

Regression line of y on x is $y - \bar{y} = 0$ and regression line of $x$ on $y$ is $x - \bar{x}$ = 0. Hence lines of regression are parallel to axes.