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 … Watch the Video

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 … Watch the Video

12.6 Inference on the slope (the formulas)

I show the formulas (and work through some of the underlying logic) for confidence intervals and hypothesis tests on the slope parameter in simple linear regression.

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 … Watch the Video

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.