[Solved]-1 Give Example Dataset Consisting Four Data Vectors Exist Two Different Optimal Minimum Su Q37163228

1. Give an example of a dataset consisting of four data vectorswhere there exist two different optimal (minimum Sum of SquaredErrors) 2-means (k = 2) clustering of the dataset. a. Calculate theoptimal SSE value for your example. b. What defines the number ofoptimal solutions? 2. a. Given k clusters and their respectivecluster sizes s1, s2, . . . , sk, what is the probability that tworandom (with replacement) data vectors (from the clustered dataset)belong to the same cluster? b. Now, assume you are given thisprobability (you do not have si ‘s and k), and the fact thatclusters are equally sized, can you find k?

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Answer to 1. Give an example of a dataset consisting of four data vectors where there exist two different optimal (minimum Sum of … . . .