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Multiple Regression - Statistics at UC Berkeley

29. C H A P T E R. Multiple Regression I. n Chapter 27 we tried to predict the percent body fat of male subjects from WHO 250 Male subjects their waist size, and we did pretty well. The R2 of says that we ac- W H AT Body fat and waist counted for almost 68% of the variability in %body fat by knowing only the size waist size. We completed the analysis by performing hypothesis tests on the coef- UNITS %Body fat and inches ficients and looking at the residuals. WHEN 1990s But that remaining 32% of the variance has been bugging us. Couldn't we do a WHERE United States better job of accounting for %body fat if we weren't limited to a single predictor? WHY Scientific research In the full data set there were 15 other measurements on the 250 men.

ing many widely used Statistics methods. A sound understanding of the multiple regression model will help you to understand these other applications. Third, multiple regression offers our first glimpse into statistical models that use more than two quantitative variables. The real world is complex. Simple mod-

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