5/7/2021

Follow up on a few things from Simple Linear Regression

• Sampling distribution of the slope parameter - see Rossman/Chance Simulating Regression Lines Applet
• Confidence interval for a mean response - see beer.R
• Prediction interval for a new response - see beer.R

Introduction to multiple regression - Chapter 9

• Fitting two or more regression lines
  • Example with R - See kids198.R for predicting weight (in pounds) from age (in months)
• Fitting a quadratic regression model
  • As we discussed in class with the Kenyon tuition data, simply add a quadratic term to the right hand side of your model in the lm() command

In class exercises

• Return to our example of Nonlinear Regression (p:\data\math\hartlaub\Elements of Statistics\alligator.csv) - fit and assess a quadratic model for predicting the weight of an alligator.
• Fit a multiple regression model that fits two simple linear regression lines (one for men and one for women to the quantitative variables from our survey at the beginning of class). Do two regression lines fit better than one?
• Find the best model for predicting the weight of perch from length and width. The data are provided in p:\data\math\hartlaub\Elements of Statistics\perch.csv

On Monday I will meet with each of you individually to give you your overall standing heading into the final exam.