Solution (source code)

= Solution

The fitted <normal linear model> is
$$
Y_i=\beta_0+\beta_1\,\mathrm{weight}_i
+\beta_2\,\mathrm{width}_i+\varepsilon_i,
\qquad
\varepsilon_i\mathrel{\mathrm{iid}}{\sim}N(0,\sigma^2),
$$
for $i=1,\ldots,173$.