12.1 Introduction to Simple Linear Regression

An introduction to simple linear regression. The pain-empathy data is estimated from a figure given in: Singer et al. (2004). Empathy for pain involves the affective but not sensory components of pain. Science, 303:1157–1162. The Janka hardness-density data is found in: Hand, D.J., Daly, F. , Lunn, A.D., McConway, K., and Ostrowski, E., editors (1994). … Read more

12.2 Simple Linear Regression: The Least Squares Regression Line

An introduction to the least squares regression line in simple linear regression. The pain-empathy data is estimated from a figure given in: Singer et al. (2004). Empathy for pain involves the affective but not sensory components of pain. Science, 303:1157-1162. The Janka hardness-density data is found in: Hand, D.J., Daly, F. , Lunn, A.D., McConway, … Read more

12.5 Checking assumptions with residual plots

An investigation of the normality, constant variance, and linearity assumptions of the simple linear regression model through residual plots. The pain-empathy data is estimated from a figure given in: Singer et al. (2004). Empathy for pain involves the affective but not sensory components of pain. Science, 303:1157–1162. The Janka hardness-density data is found in: Hand, … Read more

12.7 Inference on the Slope (An Example)

I work through an example, finding a confidence interval and carrying out a hypothesis test on the slope parameter. The data used is estimated from a figure in: Singer et al. (2004). Empathy for pain involves the affective but not sensory components of pain. Science, 303:1157–1162.

12.9 Simple Linear Regression: An Example

I work through an example relating eggshell thickness to DDT concentration, fitting the least squares line, using the line for prediction, interpreting the coefficient of determination, checking the residual plots and carrying out a test on the slope.

12.10 Simple Linear Regression: Always Plot Your Data!

A quick look at a few cautions about simple linear regression. Anscombe’s quartet can be found in: Anscombe, F. (1973). Graphs in statistical analysis. American Statistician, 27:17–21. The fuel use vs speed data is found in: West, B.H., McGill,R.N., Hodgson, J.W., Sluder, S.S. , and Smith D.E., Development and Verification of Light-Duty Modal Emissions and … Read more