Question: Given 15 data points x = (x 1 , x 2 ) and their class labels (y) as follows: Instance # x 1 x 2

Given 15 data points x = (x1, x2) and their class labels (y) as follows:

Instance # x1 x2 y (label)
1 8 7 1
2 1 0 -1
3 7 5 1
4 3 -2 1
5 3 1 1
6 -6 5 1
7 1 8 1
8 -9 -6 -1
9 1 -9 -1
10 9 2 -1
11 3 -1 1
12 3 3 -1
13 -6 7 -1
14 2 2 -1
15 9 -3 -1

Suppose by solving the dual form of SVM, we obtained the s for each data point as follows:

2 =3.5, 5 =0.75, 11 =0.75, Others=0

1. Point out the support vectors in the training data.

2. Calculate the w for the decision hyper-plane.

3. Calculate the bias term b for the decision hyper-plane.

4. Classify a new data point x = (1, 2).

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