Question

The variables $x$ and $y$ represent height in $cm$ and weight in $gm$ respectively. The correlation between $x$ and $y$ has the unit

• A. $gm$
• B. $cm$
• C. $gm.cm$
• D. None of these

Answer 1

The correct option is D

None of these

Explanation for correct option:

The correlation of $x$ and $y$ is $Corr\left(x,y\right)=\frac{Cov\left(x,y\right)}{{\sigma }_x{\sigma }_y}$

The correlation of pair of random variable is dimensionless number ranging from $+1$ to $-1$

Thus, correlation is always unit less.

Hence, option D is correct.