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# Piecewise linear model: Let x be a known constant, and

ISBN: 9780073401331 38

## Solution for problem 21SE Chapter 8

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition

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Problem 21SE

Piecewise linear model: Let x be a known constant, and suppose that a dependent variable y is related to an independent variable x1 as follows:

In other words, y and x1 are linearly related, but different lines are appropriate depending on whether  Define a new independent variable x2 by

Also define  Find a multiple regression model involving y, x1, x2, β0, β1, β2, and β3 that expresses the relationship described here.

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