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IMPORTANT: If you're going to write please make sure your writing is neat and easy to read. Please write in print (not cursive).Please give a detailed explanation for your answers. Thank you 2. Suppose that we have four observations, for which we compute a dissimilarity matrix, given by 0.3 0.4 0.3 0.5 0.4 0.5 0.7 0.8 0.45 0.7 0.8 0.45 For instance, the dissimilarity between the first and second obser- vations is 0.3, and the dissimilarity between the second and fourth observations is 0.8. (a) On the basis of this dissimilarity matrix, sketch the dendrogram that results from hierarchically clustering these four observa- tions using complete linkage. Be sure to indicate on the plot the height at which each fusion occurs, as well as the observations corresponding to each leaf in the dendrogram. (b) Repeat (a), this time using single linkage clustering. (c) Suppose that we cut the dendogram obtained in (a) such that two clusters result. Which observations are in each cluster? (d) Suppose that we cut the dendogram obtained in (b) such that two clusters result. Which observations are in each cluster? (e) It is mentioned in the chapter that at each fusion in the den- drogram, the position of the two clusters being fused can be swapped without changing the meaning of the dendrogram. Draw a dendrogram that is equivalent to the dendrogram in (a), for which two or more of the leaves are repositioned, but for which the meaning of the dendrogram is the same