Question

find coefficient of correlation for distribution in which s. d of x=4 and s. d of y=1.8 coefficient of regression y on x is 0.32 ​

Answer 1

Given:

The standard deviation of x = 4

The standard deviation of y = 1.8

Coefficient of regression of y on x = 0.32

To find:

The coefficient of correlation

Solution:

It is given that

s.d of x = 4

s.d of y = 1.8

Slope of regression line, m = 0.32

Now we know that the coefficient of correlation can be calculated by multiplying the slope of the regression line by s.d of x and then dividing it by the s.d of y

Therefore the coefficient of correlation

= $\frac{0.32 (4)}{1.8}$

= 0.711

therefore the coefficient of correlation will be 0.71