$1.$ Given the following data points: $($Please don't use any programming language$)$

Scatter Plot of $\backslash ($ x $\backslash )$ and $\backslash ($ y $\backslash )$

a$.(20$pts$)$ Compute the distance matrix.

b$.(20$pts$)$ Using the single linkage, execute $($by hand$)$ the Agglomerative Clustering Algorithm $($AGNES$)$ to cluster these data points.

c$.(20$pts$)$ Draw the corresponding dendrogram.