Use the T statistic in Exercise 10.41 as a pivotal statistic to derive a (1 - )100%

Question:

Use the T statistic in Exercise 10.41 as a pivotal statistic to derive a (1 - α)100% confidence interval for β₁.

Data from Exercise 10.41

It can be shown (proof omitted) that the least-squares estimates, β̂_o and β̂₁, are independent (in a probabilistic sense) of s². Use this fact, in conjunction with Theorem 10.1 and the result of Exercise 10.40, to show that

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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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Question Posted: Apr 30, 2021 01:41 AM

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Use the T statistic in Exercise 10.41 as a pivotal statistic to derive a (1 - )100%

Question:

Bi - Bi T = s/VSS

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Statistics For Engineering And The Sciences

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