Question

If $X$ and $Y$ are independent variables, then the correlation coefficient is:

• A. $1$
• B. $-1$
• C. $\frac{1}{2}$
• D. $0$

Answer 1

The correct option is D

$0$

Explanation for the correct option.

The coefficient of correlation tells us about the strength and relation between the two variables and it is always between $-1\mathrm{to}1$.

If the coefficient of correlation between two variables is $0$, it means they are not dependent on each other.

It is given that $X$ and $Y$ are independent variables.

The two variables are independent, if the coefficient of correlation between them is $0$.

Hence, option D is correct.