$[20$ points$]$ Consider the dataset below to answer the following questions:

a$.[4$ points$]$ What is the leave$-$one$-$out cross$-$validation error rate $($LOO$-$CV$)$ for $1NN?$ Use

Euclidean distance as your distance measure, consider that ties will always lead to wrong

classifications, and calculate the error rate as:

error rate $=\frac{\text{n}\text{u}\text{m}\text{b}\text{e}\text{r}of\text{w}\text{r}\text{o}\text{n}\text{g}\text{p}\text{r}\text{e}\text{d}\text{i}\text{c}\text{t}\text{i}\text{o}\text{n}\text{s}}{\text{t}\text{o}\text{t}\text{a}\text{l}\text{n}\text{u}\text{m}\text{b}\text{e}\text{r}of\text{p}\text{r}\text{e}\text{d}\text{i}\text{c}\text{t}\text{i}\text{o}\text{n}\text{s}}$

b$.[4$ points$]$ What is the leave$-$one$-$out cross$-$validation error rate $($LOO$-$CV$)$ for $3NN?$

c$.[6$ points$]$ What is the leave$-$one$-$out cross$-$validation error rate $($LOO$-$CV$)$ for $3NN(DW)?$

d$.[6$ points$]$ Draw de decision boundary learned by the $1NN$ algorithm $($pseudo$-$model$).$