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(Continues Exercise 7 in Section 8.1.) To try to improve

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 9E Chapter 8.3

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 9E

(Continues Exercise 7 in Section 8.1.) To try to improve the prediction of FEV1, additional independent variables are included in the model. These new variables are Weight (in kg), the product (interaction) of Height and Weight, and the ambient temperature (in °C). The following MIN1TAB output presents results of fitting the model

a. The following MINITAB output, reproduced from Exercise 7 in Section 8.1, is for a reduced model in which Weight. Height ∙ Weight, and Temp have been dropped. Compute the F statistic for testing the plausibility of the reduced model.

b. How many degrees of freedom does the F statistic have?

c. Find the P-value for the F statistic. Is the reduced model plausible?

d. Someone claims that since each of the variables being dropped had large P-values, the reduced model must be plausible, and it was not necessary to perform an F test. Is this correct? Explain why or why not.

e. The total sum of squares is the same in both models, even though the independent variables are different. Is there a mistake? Explain.

Step-by-Step Solution:
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Chapter 2: Measurement 2.1 Significant Figures A. Accuracy and Precision 1) Accuracy: how close a measured value is to _____ the actual value__. 2) Precision: how close measured values are to _each other (average)_ B. Measured numbers • There will be some _uncertainty_ in where to round off a measured...

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Chapter 8.3, Problem 9E is Solved
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Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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