Question

Econometric 1. . If the covariance between ut and ut-1 increases as t gets larger, then...

Econometric


1. . If the covariance between ut and ut-1 increases as t gets larger, then is ut stationary? Briefly explain

2. When we violate exogeneity how does this affect OLS ? Does this make OLS bias?

3. Define efficiency.

Homework Answers

Answer #1

2. In an OLS regression model, we make a basic assumption of exogeneity which means that the INDEPENDENT VARIABLE (X) is neither correlated with the DEPENDENT VARIABLE (Y) nor the error term. When we violate this assiumption, we make the model endogenous i.e. the independent variable is correlated with either the dependent variable or the error term. And this makes the model biased giving the biased results.

3. In a regression model, we use alpha and beta as the estimators for variables X and Y.

An estimator becomes efficient when it requires less observations to give results. Efficiency of an estimator can also be described as Minimum Variance Unbiased estimator.

Thus efficient estimator leads to the efficiency of regression model.

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