Question

If $r$ is the correlation coefficient between two variables, then

• A. $r\ge 1$
• B. $r\le 1$
• C. $\left|r\right|\le 1$
• D. $\left|r\right|\ge 1$

Answer 1

The correct option is C

$\left|r\right|\le 1$

Explanation for the correct option:

The correlation coefficient is a statistical measure of how strong a relationship exists between two variables' relative movements.

Range is $-1.0$ to $1.0$.

There would be an error in the correlation measurement if the calculated number was more than $1.0$ or less than $-1.0$.

Thus, $r\ge -1.0$ and $r\le 1.0$, that is $\left|r\right|\le 1$

Hence, the correct option is (C).