If the assumptions of Section 11.2 are satisfied, it can be shown that s 2 is independent

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If the assumptions of Section 11.2 are satisfied, it can be shown that s2 is independent of β̂i, the least-squares estimator of βi. Use this fact, along with Theorems 11.1 and 11.2, to show that

has a Student’s T distribution with [n - (k + 1)] degrees of freedom.

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Statistics For Engineering And The Sciences

ISBN: 9781498728850

6th Edition

Authors: William M. Mendenhall, Terry L. Sincich

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