Exam 17: The Theory of Linear Regression With One Regressor

(Requires Appendix material)Your textbook considers various distributions such as the standard normal,t,χ2,and F distribution,and relationships between them. (a)Using statistical tables,give examples that the following relationship holds: F ,∞ = . (b)t∞ is distributed standard normal,and the square of the t-distribution with n2 degrees of freedom equals the value of the F distribution with (1,n2)degrees of freedom.Why does this relationship between the t and F distribution hold?

The OLS estimator is a linear estimator, 1 = ,where i =

Assume that the variance depends on a third variable,Wi,which does not appear in the regression function,and that var(ui|Xi,Wi)= θ0+θ1 .One way to estimate θ0 and θ1consistently is to regress

If the variance of u is quadratic in X,then it can be expressed as

Besides the Central Limit Theorem,the other cornerstone of asymptotic distribution theory is the

"I am an applied econometrician and therefore should not have to deal with econometric theory.There will be others who I leave that to.I am more interested in interpreting the estimation results." Evaluate.

In practice,you may want to use the OLS estimator instead of the WLS because

If the functional form of the conditional variance function is incorrect,then

The advantage of using heteroskedasticity-robust standard errors is that