Suppose that you observe a random sample (z., )}N, from the model where e, independent of z. Ee, = 0, Var(e) -o >0, and where h(z.) - . Consider the OLS estimator of 8 given by 3- (E W.)/ (E ?), and the alternative estimator When the data exhibit evidence of strong heteroskedasticity (e.g. we reject the null hypothesis in the Breusch-Pagan test), which estimator would you prefer to use? 3 or r Why?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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Suppose that you observe a random sample {(z.. v)}N, from the model
= Az, + u, u = h(z.)e,
where , independent of r, Ee, = 0, Var(e) = o > 0, and where h(z,)- .
Consider the OLS estimator of 8 given by B= (E z,)/ (EN, ), and the alternative estimator
%3D
%3!
When the data exhibit evidence of strong heteroskedasticity (e.g. we reject the null hypothesis in the
Breusch-Pagan test), which estimator would you prefer to use? B or 7 Why?
Transcribed Image Text:Suppose that you observe a random sample {(z.. v)}N, from the model = Az, + u, u = h(z.)e, where , independent of r, Ee, = 0, Var(e) = o > 0, and where h(z,)- . Consider the OLS estimator of 8 given by B= (E z,)/ (EN, ), and the alternative estimator %3D %3! When the data exhibit evidence of strong heteroskedasticity (e.g. we reject the null hypothesis in the Breusch-Pagan test), which estimator would you prefer to use? B or 7 Why?
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