In a multiple regression analysis,the current model has three independent variables.The analyst decides to add another (fourth)independent variable from the same data set while retaining the other three independent variables.As a result of this addition,the value of explained variation will ____________ decrease.
A)always
B)sometimes
C)never

Question

Quizplus · Accepted Answer

Adding an independent variable to a regression model can only increase or maintain the explained variation (R-squared value), as it provides the model with more information to explain the variability in the dependent variable. It cannot decrease because the model can simply assign a coefficient of zero to the new variable if it does not improve the model's explanatory power.

In a Multiple Regression Analysis,the Current Model Has Three Independent