What is the value of correlation coefficient if the coeffici

What is the value of correlation coefficient if the coefficient of determination is 0.5. The regression line has a negative slope.

a . -0.707

B . 0.25

c . 0.707

d. -0.25

--and what if it had a positive slop?

Solution

Answer to the question)

Since r2 = 0.5

coefficient correlation r = sqrt(0.5)

r = 0.707

.

The sign of r depends on the sign of the slope of the regression line

it is given that the slope is negative

this implies r = -0.707

Thus answer choice a: -0.707 is correct

.

If slope is positive , then r = +0.707

in that case answer choice c is correct