In the worksheet titled problem $3,$ there are $20$ observations with a three$-$dimensional coordinate $($x$,$ y$,$ z$)$ as numeric input attributes and a color $($red or blue$)$ as a nominal outcome attribute. Using Euclidean distance $($no normalization required since the scales are similar for x$,$ y$,$ and z$),$ perform a Leave One Out Cross Validation $($LOOCV$)$ analysis to determine the best value for k in a k$-$NN model. You should check every odd value from $1-19.$ What is the best value for k and why? Again, lots of space is provided to show your work, but if you want to submit an Excel file instead, that$$s perfectly fine.