2. Concern has been expressed about the rate of crime in major cities of the country of Atlantica. The following table gives the rate per 1000 of population of reported Violent crime and Theft in five major cities of Atlantica. Table 1: Crime rates per 1000 in Atlantica Answer the following questions in order to gain insight into the pattern of crime in Atlantia. (a) (i) Standardize the data and calculate the Euclidean distance matrix for this data. [5] (ii) Use the distance matrix from (a) to construct and draw a dendrogram using the Complete Linkage method. [4] (iii) How many clusters would you choose using your dendrogram? Identify the cities in each cluster and comment on the characteristics of the clusters. [4] (b) Table 2 gives a more comprehensive view of crime in the five cities Table 2: Further crime rates per 1000 in Altantica Perform K-means cluster analysis using the augmented data from Table 2 , choice of K should be based on the outcome from part a(iii). Comment on your result