6. (20 pts) Based on the dataset in Table 1, please solve it by hands and answer the following questions. Y R G R Obs X1 X2 1 -0.5 0 2 1 0 3 0 -1 4 0 2 5 -1 -1 6 2 2 Table 1 G R G a) Find a hyperplane for perceptron. b) What is the hyperplane for SVM? c) What is the maximal margin? d) Which points are support vectors? e) Given a new data (-0.6,0.5), which class it belongs to? 6. (20 pts) Based on the dataset in Table 1, please solve it by hands and answer the following questions. Y R G R Obs X1 X2 1 -0.5 0 2 1 0 3 0 -1 4 0 2 5 -1 -1 6 2 2 Table 1 G R G a) Find a hyperplane for perceptron. b) What is the hyperplane for SVM? c) What is the maximal margin? d) Which points are support vectors? e) Given a new data (-0.6,0.5), which class it belongs to