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5. Given 8 the following data ((x1,x2)T,y):((0,0)T,1),((0,1)T,4),((1,0)T,3),((1,1)T,7) (a) create the design matrix X (include the column of 1 's) (b) create the target vector y

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5. Given 8 the following data ((x1,x2)T,y):((0,0)T,1),((0,1)T,4),((1,0)T,3),((1,1)T,7) (a) create the design matrix X (include the column of 1 's) (b) create the target vector y (c) write out the closed form formula for computing w that minimizes RSS(w) (d) determine the w0,w1,w2 that minimizes RSS(w) (e) compute RSS (f) compute TSS (g) compute R2 (h) what portion of the variance in y is explained by x ? (i) predict the value of xT=(0.5,0.5) using the values of w computed in question 5d

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