Question

If the correlation coefficient is 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

The correct option is A

Parallel to axes

Explanation for the correct option:

Correlation is the relationship between two variables.

We know that, the line of regression of $y$ on $x$ is $y-\overline{y}$ and regression line of $x$ on $y$ is $x–\overline{x}$.

When correlation coefficient is zero then,

$y-\overline{y}=0$ and $x–\overline{x}=0$

Therefore, the lines of regression are parallel to axes.

Hence, option A is correct.