Question $3$: In the Fig. $1$ below, we depict training data $((-6,4),(-3,7),(1,6),(-4,0),(0,-1),(11,7),(8,3),(8,-1),(12,-2),(13,3))$ and a single test point $(5,5)$ for the task of classification given two continuous attributes X$1$ and X$2.$ For each value of k$,$ Find the label predicted by the k$-$nearest neighbor classifier for the depicted test point.

Perform $($manually$)$ k$-$nearest neighbor classification to predict the label of the text example for each of the following k values. You need to show your work, including distance matrices and calculations, to find the distances.

$1.$ Predicted label for k $=1$: $($a$)$ positive $($b$)$ negative

$2.$ Predicted label for k $=3$: $($a$)$ positive $($b$)$ negative

$3.$ Predicted label for k $=5$: $($a$)$ positive $($b$)$ negative.