Question

Mean of x = 53, mean of y = 28 regression coefficient of y on x = −1.2, regression coefficient of x on y = −0.3. Find the coefficient of correlation (r).

Answer 1

Given: `barx = 53`, `bary = 28`

b_yx = −1.2, b_xy = −0.3

Using the formula:

r² = b_yx × b_xy

r² = −1.2 × −0.3

r² = 0.36

r = ±0.6

The sign of r is the same as the sign of the regression coefficients. Since both regression coefficients are negative, the correlation coefficient is also negative.

r = −0.6