$15.$ Cluster Comparison of Single Linkage to Group Average Linking. Refer to the clustering problem involving the file FBS described in Problem $13.$ Using Euclidean distance to compute dissimilarity between observations, apply hierarchical clustering with $10$ clusters using latitude and longitude as variables. Execute the clustering two times once with single linkage and once with group average linkage. Compute the cluster sizes and visualize the clusters by creating a scatter plot with longitude as the x$-$variable and latitude as the y$-$variable. Compare the results of the two approaches.