Consider a small dataset consisting of the following five data points with one feature $($x$)$ and their corresponding class labels:

Data Point $1$: x $=2,$ Class $1$

Data Point $2$: x $=3,$ Class $1$

Data Point $3$: x $=4,$ Class $2$

Data Point $4$: x $=5,$ Class $2$

Data Point $5$: x $=6,$ Class $2$

$($a$)$

Perform linear discriminant classification, by hand, to determine the class of a new data point with

x $=3\mathrm{.}5.$

$($b$)$

What is the misclassification rate on the training data?

$($c$)$

Why might linear discriminant analysis not be a good choice of classifier for this dataset?