PROBABILITY & STATS FOR ENGINEERING &SCI

9th Edition

ISBN: 9781285099804

Author: DEVORE

Publisher: CENGAGE L

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Textbook Question

Chapter 12.4, Problem 47E

The simple linear regression model provides a very good fit to the data on rainfall and runoff volume given in Exercise 16 of Section 12.2. The equation of the least squares line is y = −1.128 + .82697x, r² = .975, and s = 5.24.

a. Use the fact that s_Ŷ = 1.44 when rainfall volume is 40 m³ to predict runoff in a way that conveys information about reliability and precision. Does the resulting interval suggest that precise information about the value of runoff for this future observation is available? Explain your reasoning.
b. Calculate a PI for runoff when rainfall is 50 using the same prediction level as in part (a). What can be said about the simultaneous prediction level for the two intervals you have calculated?

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Chapter 12.4, Problem 46E

Chapter 12.4, Problem 48E

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Chapter 12 Solutions

PROBABILITY & STATS FOR ENGINEERING &SCI

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Solution Summary: The author explains how to estimate the prediction interval for the future observation of runoff volume.

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