# 2/22/2017

## Chapter 7 Multiple Regression II

- Type I Sums of Squares
- Example - Return to Body Fat - See Tables 7.1 and 7.2 and Bodyfat.R

- Type II Sums of Squares
- Using extra sums of squares to test hypotheses for betas
- Full versus reduced model approach

- Coefficients of partial determination
- Standardized multiple regression model -
- See Table 7.5 and Dwaine-Studios.R
- Verify that the results from lm.beta match those obtained with the fitted standardized model by creating the transformed variables and finding the appropriate estimates with lm.

- Multicollinearity

## Chapter 8 Polynomial Regression Models

- Discussion of quadratic, cubic, and higher order models.
- To avoid problems with multicollinearity, center the predictor variables
- See Table 8.1 and Powercell.R

- Modify Bodyfat.R to fit the model in 8.29 on page 312

## We will have a problem session on Friday.