The researchers carried out a cluster analysis on the penguins data, using

bill.len.mm$,$

bill.dep.mm$,$

flipper.len.mm$,$ and body.mass.g as the variables for clustering, and

implemented model$-$based clustering $($MBC$).$ Some $R$ code and output is given

below:

$($a$)$ With reference to the relevant summary outputs, briefly explain why the re$-$

searchers might have chosen to use MBC versus another clustering technique.

$($b$)$ What

model $1_{1+p^{2}y}$

e chosen