18 Multiple Regression

Overview

The Multiple Regression Model

Visualizing Multiple Regression

Fitting a Model

A More Complex Model

Residuals Analysis in the Fit Model Platform

Collinearity

An Example Free of Collinearity Problems

An Example of Collinearity

Dealing with Collinearity

Evaluating Alternative Models

Application

Overview

The past two chapters have introduced most of the major concepts important to the practice of regression analysis. At this point, we’ll extend the discussion to consider situations in which a response variable Υ has simultaneous linear relationships with more than one independent factor. We have been interpreting R2 as the fraction of the variation in Υ associated with variation in X. We’ve seen examples where a single ...

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