For the given data below answer the followings.

$($a$)$ Calculate the training error of k$-$nearest neighbor method by using hand calculations.

Choose k$=3.$

$($b$)$ Calculate the testing error of k$-$nearest neighbor method by using hand calculations.

Choose k$=3.$

$($c$)$ By showing all the probabilities, what is your prediction for a new observation

Xnew $=(1,0\mathrm{.}5)$ when K $=3?$ Why? $($Use hand calculations$).$

$($d$)$ Answer part a$,$ b and c by using R$.$