Based on the data provided below, answer questions from (1-4). We consider a function we wish to minimize. J(w)=110Σ5i(y(i)−w1x(i)−w0)2 where the constants x(i), y(i) are provided in the table below
i=1,2,3,4,5
x(i)=0,0.25,0.50,0.75,1.00
y(i)=1.4822,1.8165,1.9171,2.3930,2.5826
1) The dimension of w is _________.
1 point
2) Start with the initial guess of [w0,w1]=[0,0]. Take the value of learning rate = 1. The value of w0 after 4 iterations of gradient descent will be _________.
1 point
3) Start with the initial guess of [w0,w1]=[0,0]. Take the value of learning rate = 1. The value of w1 after 4 iterations of gradient descent will be _________.
1 point
4) Start with the initial guess of [w0,w1]=[0,0]. Take the value of learning rate = 1. The value of J after 4 iterations of gradient descent will be _________.
1 point
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