In multiple regression analysis,residuals (Y − )are used to ________.
A)provide a global test of a multiple regression model
B)evaluate the assumption of linearity
C)calculate the variance inflation factor
D)compare two regression coefficients

Question

In multiple regression analysis,residuals (Y −  )are used to ________.
A)provide a global test of a multiple regression model 
B)evaluate the assumption of linearity 
C)calculate the variance inflation factor 
D)compare two regression coefficients

Quizplus · Accepted Answer

Residuals in multiple regression analysis are used to evaluate the assumption of linearity, which is a crucial assumption in regression analysis. Residuals represent the difference between the actual observed value of the dependent variable and the predicted value from the multiple regression model. A good linear regression model has residuals that are randomly distributed and have no pattern. Therefore, by analyzing the residuals, we can evaluate whether the assumption of linearity is met or not. The other options are incorrect as they do not use residuals for the stated purposes.

In Multiple Regression Analysis,residuals (Y − )Are Used to ________