PROJECT #2: (Maximum score = 100 points) MAIN GOAL: To explore some fundamental issues regarding data clustering. Consider the data in the following figure. 12 11 10 2 3 4x 5 6 7 8 9 10 11 12 Figure 1: The Dataset for Project 2. The coordinates of the points in Figure 1 are provided in Table 1. Although the points seem to be grouped into two clusters, you should ignore this. Your cluster analysis should discover this clustering scheme.Table 1: Coordinates of the point sin Figure 1. Orange cluster Purple cluster X coordinate Y coordinate X coordinate Y coordinate 1.10 4.05 3.95 5.20 1.05 4.95 4.10 4.00 1.10 5.95 4.12 6.05 1.08 7.05 4.42 495 1.35 8.15 4.70 3.20 1.75 7.75 4.91 5.90 1.75 2.00 4.92 4.85 1.90 3.45 4.95 7.04 2.05 7.00 5.10 4.20 2.10 5.90 5.13 6.90 2.10 2.30 5.15 3.05 2.15 4.80 5.35 3.97 2.20 8.05 5.60 3 55 4 00 2 30