In multiple regression analysis, residuals (Y - Ŷ) 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

Quizplus · Accepted Answer

Residuals are used to evaluate the assumption of linearity in multiple regression analysis. They represent the difference between the actual observed values (Y) and the predicted values (Ŷ) based on the regression equation. By examining the distribution and pattern of the residuals, researchers can determine whether the relationship between the independent variables and the dependent variable is linear or whether a nonlinear model would be more appropriate. Residuals are not typically used for global tests of the model, calculating the variance inflation factor, or comparing regression coefficients.

In Multiple Regression Analysis, Residuals (Y - Ŷ) Are Used