Maximal margin classifier on a sample data set. a. We are given n = 7 obscrvations in p = 2 dimensions. For cach observation, there is an associated class label. Sketch the observations. Obs. X X Y 1 3 4 Red 2 2 2 Red 4 Red 4 Red 1 3 4 5 6 7 4 1 2 4 3 4 1 Blue Blue Blue b. Sketch the optimal separating hyperplane, and provide the equation for this hyperplane (of the form Bo+BX+ + Bp Xp-0). .. c. Describe the classification rule for the maximal margin classifier. It should be something along the lines of "Classify to Red if Bo+BX+ + Bp Xp>0, and classify to Blue otherwise." Provide the values for Bo, B1, and 32. d. On your sketch, indicate the margin for the maximal margin hyperplane. e. Indicate the support vectors for the maximal margin classifier. f. Argue that a slight movement of the seventh observation would not affect the maximal margin hyperplane. g. Sketch a hyperplane that is not the optimal separating hyperplane, and provide the equation for this hyperplane. h. Draw an additional observation on the plot so that the two classes are no longer separable by a hyperplane.