AgeFemaleIncome Married Children Car LoanMortgage 48 40 51 23 57 57 17546.00 30085.10 16575.40 20375.40 50576.30 37869.60 8877.07 24946.60 25304.30 24212.10 59803.90 26658.80 15735.80 55204.70 19474.60 22342.10 17729.80 41016.00 26909.20 22522.80 57880.70 16497.30 38446.60 15538.80 12640.30 41034.00 20809.70 20114.00 29359.10 24270.10 58 37 54 52 36 38 37 46 62 31 61 50 54 27 56 45 39 39 61 If required, round your answers to three decimal places (a) Use k-means clustering with a value of k = 3 to cluster based on the Age, Income, and Children variables to reproduce the results in Appendix 4.2 Average distance within least dense cluster 8137.427 Minimum cluster distance to least dense cluster 0.625 (b) Repeat the k-means clustering for values of: k=2 Average distance within least dense cluster Minimum cluster distance to least dense cluster 8137.427 0.625 Average distance within least dense cluster 1881.615 Minimum cluster distance to least dense cluster 1.000 Average distance within least dense cluster 1881.615 Minimum cluster distance to least dense cluster 1.000 (c) How many clusters do you recommend? Why? The input in the box below will not be graded, but may be reviewed and considered by your instructor. 4 AgeFemaleIncome Married Children Car LoanMortgage 48 40 51 23 57 57 17546.00 30085.10 16575.40 20375.40 50576.30 37869.60 8877.07 24946.60 25304.30 24212.10 59803.90 26658.80 15735.80 55204.70 19474.60 22342.10 17729.80 41016.00 26909.20 22522.80 57880.70 16497.30 38446.60 15538.80 12640.30 41034.00 20809.70 20114.00 29359.10 24270.10 58 37 54 52 36 38 37 46 62 31 61 50 54 27 56 45 39 39 61 If required, round your answers to three decimal places (a) Use k-means clustering with a value of k = 3 to cluster based on the Age, Income, and Children variables to reproduce the results in Appendix 4.2 Average distance within least dense cluster 8137.427 Minimum cluster distance to least dense cluster 0.625 (b) Repeat the k-means clustering for values of: k=2 Average distance within least dense cluster Minimum cluster distance to least dense cluster 8137.427 0.625 Average distance within least dense cluster 1881.615 Minimum cluster distance to least dense cluster 1.000 Average distance within least dense cluster 1881.615 Minimum cluster distance to least dense cluster 1.000 (c) How many clusters do you recommend? Why? The input in the box below will not be graded, but may be reviewed and considered by your instructor. 4