Show all the work and calculations. Please don't answer with a AI answer. Thank you!

Suppose the following table shows the sales $($in units$)$ made by different salesperson at a boutique

store and the number of years working at the store.

a$.$ Use two of the three linkage methods we covered in class $($single$,$ complete, average$)$ to build two

hierarchical clusters of these salespersons. Show all the intermediate tables and the intermediate

merges of the clusters for full credit. This part should be done by hand $($i$.$e$.$ paper, pencil, and

calculator only$).$

b$.$ Draw the two dendrogram of the hierarchical clustering created above. This part should be done by

hand.

Suppose the following table shows the sales $($in units$)$ made by a different set of salespeople at a

boutique store and the number of years working at the store.

a$.$ Plot all the points $($ x$1,$x$2)$ in a $2-$dimensional space and try identifying clusters visually. Draw a

circle for each cluster so that member points are within the circle. This part can be done by hand or

in Excel.

b$.$ Create three clusters using the k$-$means algorithm with the Euclidean distance. You can pic three

observations which you think are the best candidates for initial centroids. Identify the final cluster

memberships. This part must be done by hand. Show all intermediate tables and the intermediate

cluster assignments for full credit.