Consider 8 training samples. The positive class has 4 points: (2,1), (1,2), (2,2) and (4,4). The negative class has 4 points: (-2,-2), (-4,-4), (-4,-8) and (-8,-4). Given a point (-1,-1), find out whether it belongs to positive or negative class.

a. What are the coefficients of the support vectors?

b. Based on the coefficients of the support vectors, compute the maximum margin and then give the weights of the corresponding linear model.

c. Determine the class that (-1,-1) belongs to. Show your calculation to explain.