Statistics Graduate Level Quiz
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STATISTICAL INFERENCE
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Consider the fixed-design regression model Yi=βxi+εiY_i=βx_i+ε_i, where the errors are independent, satisfy E(εi∣xi)=0E(ε_i\mid x_i)=0, and may be heteroskedastic. Assume the usual design conditions for consistency. An analyst compares ordinary least squares with weighted least squares using deterministic positive weights bounded away from zero and infinity. The chosen weights are not known to be proportional to the inverse error variances.
Which statement is most accurate?
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