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Questions on multiple linear regression models:

Suppose we fit the model y = X1β1+ ε when the true model is actually given by y = X1β2 + X2β2 + ε. For both models, assume E(ε) = 0 and Var(ε) = σ2I. where I is the identity matrix.

Find the expected value and variance of the ordinary least-squares estimate.

(Note here X,I are matrices, and y,β,ε are vectors since those are multiple linear models).

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