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Spring 2007, Econ 466

Final Examination

Total: 100 points, Time: 2 hours

Answer all questions. Write clearly and legibly. Good Luck!!

1. Consider the following linear regression model often known as the Classical Linear Regression Model

[pic], t =1, …, n (1)

a) [3 points] What are the basic assumptions of the model?

b) [5 points] You believe that [pic], but your friend thinks that [pic]. Who is correct? Explain.

c) [3 points] In which case [pic] represents the elasticity of Y with respect to X?

d) [6 points] In which case this model represents the “linear probability model”? What are the disadvantage of the model?

e) [8 points] If E(ut) = 0 but V(ut) = [pic] is replaced by [pic] =[pic], t =1, …, n, what are the problems with the OLS estimator of [pic]? How would you estimate [pic] in this model taking the above heteroskedasticity problem into account? Show all the necessary steps.

f) [8 points] Consider the model in (1). If E(ut) = 0 but the assumption that [pic]’s are independent over observation is replaced by [pic] ................
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