Question

State true or false:

The coefficient of correlation between two variables $x$ and $y$ is:
$r=\frac{{\sigma }^{2}x+{\sigma }^{2}y-y}{2{\sigma }_x{\sigma }_y}$

• A. True
• B. False

Answer 1

The correct option is A True

Coefficient of correlation is to express the degree of linear relationship between the two variables.

The coefficient of correlation between two variables $x$ and $y$ is given by

$r=\frac{{\sigma }^{2}x+{\sigma }^{2}y-y}{2{\sigma }_x{\sigma }_y}$

where ${\sigma }_x$ is the standard deviation of $x$ and

${\sigma }_y$ is the standard deviation of $y$