If the coefficient of determination is a positive value, then the regression equation must have a positive slope must have a

Comments (2) on “If the coefficient of determination is a positive value, then the regression equation must have a positive slope must have a”

1. The correct answer is must have a positive slope.

   Step-by-step 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.

   Reply

2. The regression equation could have a positive or a negative slope

   Explanation:

   The coefficient of determination is marked as r^2. This is always positive because squaring a negative leads to a positive. Knowing something like r^2 = 0.7 does not tell us whether r itself is positive or negative, so we don't know if the regression line slope is positive or negative. We would need more info.

   Reply