12.5 Mean, Variance, and Sampling Distribution of the Least Squares Estimators img and img

We noted above (via the Gauss–Markov Theorem) that img and img (hence the sampling distributions of img and img are centered right on img and img, respectively). In addition, it can be demonstrated that

(12.15) equation

where img is the unknown variance of the random error term ε. Since img is unknown and must be estimated from the sample data, let ...

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