Linear regression algebra: show that weighted least squares is maximum likelihood estimation for the model (18.7). Bayesian inference: take a multilevel linear model that you have already fit, and...

Linear regression algebra: show that weighted least squares is maximum likelihood estimation for the model (18.7).

Bayesian inference: take a multilevel linear model that you have already fit, and make a graph such as in Figure 18.5 or 18.6 showing likelihood, prior distribution, and posterior distribution, in each of several groups.