This paper defines partial residuals in multiple linear regression. The ith partial residual vector can be thought of as the dependent variable vector corrected for all independent variables except ...

It is appropriate to examine the residuals from the fitted model for analysis of variance just as you did with the multiple regression model you fit in Chapter 14, "Multiple Regression." The residuals ...

A framework is developed for the interpretation of regression plots, including plots of the response against selected covariates, residual plots, added-variable plots, and detrended added-variable ...

Residual plots can be used to validate assumptions about the regression model.