Questions 8
- Show that estimator {$s^2$} is unbiased
- Prove that {$s^2(X'X)^{-1}$} is unbiased estimator of {$Var(b)$}
- Give the form o estimator of linear combination of parameters {$\delta'\beta$} and show that it is unbiased
- What do we mean by prediction? Show that prediction {$x_f b$} is unbiased
- Explain what are two sources of prediction error and give the formula for the variance of prediction error.
- (*) Derive the formula for the variance of prediction error
- Derive the distribution of the OLS estimator. What additional assumption do we have to make over assumptions of CLRM to make this derivation?