When additional independent variables are added to a simple linear regression, the coefficient of determination, r2 may

a. increase or stay the same
b. become negative
c. decrease or stay the same
d. stay the same

Option A) increase or stay the same

Step-by-step explanation:

Coefficient of Determination:

It is interpreted as the proportion of the variance in the dependent variable that is predictable from the independent variable. The coefficient of determination is the square of the correlation between predicted y scores and actual y scores.If coefficient of determination is 0 means that the dependent variable cannot be predicted from the independent variable. If coefficient of determination is 1 means the dependent variable can be predicted without error from the independent variable.One problem with the coefficient of determination is that it always increases whenever we add a new independent variable

Thus, option A) is the correct answer.