What does the Gauss-Markov theorem claim? Explain the assumptions needed for the Gauss-Markov Theorem. Are all the assumptions necessary to construct the OLS estimates of the intercept and slope coefficients.
For each of the Gauss-Markov Theorem assumptions (A0-A3), do the following: (a) State the assumption in mathematical terms. (b) State the intuitive meaning of the assumption. (c) For bonus points, state what might cause the assumption to be violated.
The Gauss-Markov theorem says that the OLS estimator is the best linear unbiased estimator. Explain which assumptions are needed in order to verify Gauss-Markov theorem? Consider the Cobb-Douglas production function
For each of the Gauss-Markov Theorem assumptions (A0-A3), do the
following:
(a) State the assumption in mathematical terms.
(b) State the intuitive meaning of the assumption.
(c) For bonus points, state what might cause the assumption to
be violated.
The Gauss Markov Theorem says
a) Under the LS assumptions, the OLS estimator has the smallest
variance among all linear unbiased estimators
b) Under the LS assumptions, the OLS estimator has the smallest
variance among all linear estimators
c) The OLS estimator has the smallest variance among all linear
unbiased estimators
d) Under the LS assumptions, the OLS estimator is the most
consistent estimator of all linear unbiased estimators
Under what conditions does the Gauss-Markov Theorem guarantee
the OLS estimators to be BLUE? State such conditions and explain
each of them in your words. What does it mean for the OLS
estimators to be BLUE? Explain
Problem 3 Gauss Markov Theorem
(i) Write down the formula for the standard error of the OLS estimate, , from a multiple linear regression.
(ii) In your answer io part (i), what is ? What is the íurmla for
(iii) State the Gauss Markov Theorem, including the assumptions (i.e., write E[u|x1,...,xk] not MLR4)