1/22/2018

Questions from Chapter 0

Chapter 1 - Simple Linear Regression - See Chpt1,S1.1.ppt and Chpt1, Sec1.2, 1.3.ppt

• Review of simple linear regression
• Purpose
• Functional versus statistical relationship
• Formal Model
• Method of Least Squares
• Assumptions
  • Normality
  • Independence
  • Homogeneity of variance
• Estimation of variability about the regression line
  • Residuals
    • Residual = observed - predicted
  • MSE
• Assessing the fit
  • Residual plots (used to check assumptions)
    • Plot residuals against explanatory variable and other available variables
    • Construct a normal probability plot for the residuals

Examples with R

• Open p:\data\math\hartlaub\dataanalysis\SimpleLinearRegression.Rmd
• Open p:\data\math\hartlaub\dataanalysis\Chapter1.Rmd

In class exercises

• 1.17, 1.19, and 1.21

Please complete your reading of Chapter 1 for class on Wednesday.