Question

If the coefficient of determination is a positive value, then the regression equationa.must have a positive slopeb.must have a negative slopec.could have either a positive or a negative sloped.must have a positive y intercept

Answer 1

The correct answer is must have a positive slope.

Explanation:

The coefficient of determination varies between -1 to 1. It shows the how strong is the relationship between two variables.

Coefficient closer to -1 indicate negative relationship and that y decreases with increase in x and the regression equation has a negative slope.

Coefficient closer to 1 indicate positive relationship and that y increases with increase in x and the regression equation has a positive slope.

Coefficient closer to 0 indicate that there is no possible relationship between the variables under consideration. It is not possible to construct a particular regression equation.