Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 13.1, Problem 1E
Suppose the variables x = commuting distance and y = commuting time are related according to the simple linear regression model with σ = 10.
a. If n = 5 observations are made at the x values x1 = 5, x2 = 10, x3 =15, x4 = 20, and x5 = 25, calculate the standard deviations of the five corresponding residuals.
b. Repeat part (a) for x1 = 5, x2 = 10, x3 = 15, x4 = 20, and x5 = 50.
c. What do the results of parts (a) and (b) imply about the deviation of the estimated line from the observation made at the largest sampled x value?
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Chapter 13 Solutions
Probability and Statistics for Engineering and the Sciences
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