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Question

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

A

$r\ge 1$

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B

$r\le 1$

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C

$|r|\le 1$

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D

$|r|\ge 1$

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Solution

## The correct option is C $|r|\le 1$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 $|r|\le 1$Hence, the correct option is (C).

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