10.3. Residual Analysis for The Multiple Regression Model

In Section 9.5, you used residual analysis to evaluate the appropriateness of using the simple linear regression model for a set of data. For the multiple regression model with two independent variables, you need to construct and analyze the following residual plots:

  1. Residuals versus the predicted value of Y

  2. Residuals versus the first independent variable X1

  3. Residuals versus the second independent variable X2

  4. Residuals versus time (if the data has been collected in time order)

The first residual plot examines the pattern of residuals versus the predicted values of Y. If the residuals show a pattern for different predicted values of Y, there is evidence of a possible curvilinear effect in ...

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