Question

As the value of the multiple coefficient of determination increases,

a. the goodness of fit for the estimated multiple regression equation increases.
b. the value of the adjusted multiple coefficient of determination decreases.
c. the value of the regression equation's constant b0 decreases.
d. the value of the correlation coefficient decreases.

Answer 1

a.the goodness of fit for the estimated multiple regression equation increases.

Explanation:

As the value of the multiple coefficient of determination increases,

a. the goodness of fit for the estimated multiple regression equation increases.

As we know that the coefficient of determination measures the variability of response variable with the help of regressor. As we know that if the value of the coefficient of determination increases strength of fit also increases.