Call the USArrests data into R. The dataset contains crime data for the fifty states. A) Perform model based clustering

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Call the USArrests data into R. The dataset contains crime data
for the fifty states.
A) Perform model based clustering on the four
variables. Give the component plot for the number and shape of
clusters.
B) Use BIC to find the optimal number and shape of clusters
from Part A.
C) Give the dendogram from a hierarchical cluster analysis
of the data using single linkage.
D)Give the dendogram from a hierarchical cluster analysis of the
data using complete linkage. Does the dendogram appear any
different from the one in Part C?