The matrix H = X(X'X)-? X' is usually called the hat matrix because it maps Y to Ỹ the vector of fitted values. a) Show

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answerhappygod
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The matrix H = X(X'X)-? X' is usually called the hat matrix because it maps Y to Ỹ the vector of fitted values. a) Show

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The matrix H = X(X'X)-? X' is usually called the hat matrix because it maps Y to Ỹ the vector of fitted values. a) Show that in the linear regression model Var(ů) = oʻH = b) Prove that the matrices H and I – H are idempotent, that is H2 = H == (I – H)² = (I – H)
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