39.5. Solutions

Here are answers and solutions to selected exercises.

Solution to Exercise 39.1

We have the following design matrix

\[\begin{split} \dmat = \left[ \begin{array}{cc} 1 & -2 \\ 1 & 1 \end{array} \right], \end{split}\]

which in the present case yields the parameter values

\[ \pars^{*} = \dmat^{-1}\data = [1,2]^T. \]

Solution to Exercise 39.3

For the warmup case we have fitted a straight line through two data points, which is always possible, and we cannot determine the sample variance. This will be even more clear when we come to Bayesian Linear Regression (BLR).