Chapter Summary
Large correlations between explanatory variables in a regression model produce collinearity. Collinearity leads to surprising coefficients with unexpected signs, imprecise estimates, and wide confidence intervals. You can detect collinearity before fitting a model in the correlation matrix and scatterplot matrix. Once you have fit a regression model, use the variance inflation factor to quantify the extent to which collinearity increases the standard error of a slope. Remedies for collinearity include combining variables and removing one of a highly correlated pair.
Key Terms
Objectives
Choose explanatory variables for a multiple regression through a combination of substantive insight and ...
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