Problem in Attachment

Problem 5 (10 points) Consider the following 6 points on the plane *1 = (0,2), x2 = (-1,1), x3 = (1, -1); y1 = (0, -2), 92 = (-1, -1), 93 = (1, 1). We want to find a line to separate a's from the y's. 1. Plot these points. Using your graph, explain why they are not separable. 2. Find a separating line that minimizes the sum of violations and report the minimized objective value. "You may solve this part with or without Excel.) 3. Now consider the following data set describing public and private universities. As in part 2, find a separating line and report the minimized objective value. (Of course, you need to use Excel for this part.) Private Schools College cost of living (dollar/week) tuition (dollar/year) MIT 116.3 34986 Yale 123.1 34530 Harvard 116.3 31456 Princeton 130 34202 Stanford 138.9 34800 Valparaiso 92.9 23200 Public Schools College cost of living (dollar/week) tuition (dollar/year) Wisonsin Madison 94.4 21438 Washington-Seattle 104.6 22131 Berkeley 138.9 28004 Minnesota Twin cities 99.1 19580 Texas Austin 89.6 27468