Exercise 2 In multiple linear regression, we can estimate ß as follows by least square method. ß R = (x+x)-'xTy e R(p+1)

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Exercise 2 In Multiple Linear Regression We Can Estimate Ss As Follows By Least Square Method Ss R X X Xty E R P 1 1 (78.41 KiB) Viewed 32 times

Exercise 2 In multiple linear regression, we can estimate ß as follows by least square method. ß R = (x+x)-'xTy e R(p+1)x1, XERNx(p+1), y ERNx1 = (2.1) The regression model can be derived as follows: ỹ = XB = X(XTx) 'x+y = Hy -1 = = (2.2) And in the above equation, X(XTX)-1XT is specifically referred to as H, hat matrix. H = X(X"X)--XT (2.3) 2.1 Show that H is symmetric (HT = H) and idempotent (H = H). [3 pts] =