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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 8.1 - Problem 4e
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 8.1 - Problem 4e

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# The article “Application of Analysis of Variance to Wet

ISBN: 9780073401331 38

## Solution for problem 4E Chapter 8.1

Statistics for Engineers and Scientists | 4th Edition

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Problem 4E

Problem 4E

The article “Application of Analysis of Variance to Wet Clutch Engagement” (M. Mansouri, M. Khonsari, et al., Proceedings of the Institution of Mechanical Engineers, 2002:117-125) presents the following fitted model for predicting clutch engagement time in seconds (y) from engagement starting speed in m/s (x1), maximum drive torque in N · m (x2), system inertia in kg · m2 (x3), and applied force rate in kN/s (x4):

The sum of squares for regression was SSR = 1.08613 and the sum of squares for error was SSE = 0.036310. There were 44 degrees of freedom for error.

a. Predict the clutch engagement time when the starting speed is 20 m/s. the maximum drive torque is 17 N · m, the system inertia is 0.006 kg · m2, and the applied force rate is 10 kN/s.

b. Is it possible to predict the change in engagement time associated with an increase of 2 m/s in starting speed? If so, find the predicted change. If not, explain why not.

c. Is it possible to predict the change in engagement time associated with an increase of 2 N · m in maximum drive torque? If so, find the predicted change. If not, explain why not.

d. Compute the coefficient of determination R2.

e. Compute the F statistic for testing the null hypothesis that all the coefficients are equal to 0. Can this hypothesis be rejected?

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##### ISBN: 9780073401331

The full step-by-step solution to problem: 4E from chapter: 8.1 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. The answer to “The article “Application of Analysis of Variance to Wet Clutch Engagement” (M. Mansouri, M. Khonsari, et al., Proceedings of the Institution of Mechanical Engineers, 2002:117-125) presents the following fitted model for predicting clutch engagement time in seconds (y) from engagement starting speed in m/s (x1), maximum drive torque in N · m (x2), system inertia in kg · m2 (x3), and applied force rate in kN/s (x4): The sum of squares for regression was SSR = 1.08613 and the sum of squares for error was SSE = 0.036310. There were 44 degrees of freedom for error.a. Predict the clutch engagement time when the starting speed is 20 m/s. the maximum drive torque is 17 N ? m, the system inertia is 0.006 kg ? m2, and the applied force rate is 10 kN/s.________________b. Is it possible to predict the change in engagement time associated with an increase of 2 m/s in starting speed? If so, find the predicted change. If not, explain why not.________________c. Is it possible to predict the change in engagement time associated with an increase of 2 N ? m in maximum drive torque? If so, find the predicted change. If not, explain why not.________________d. Compute the coefficient of determination R2.________________e. Compute the F statistic for testing the null hypothesis that all the coefficients are equal to 0. Can this hypothesis be rejected?” is broken down into a number of easy to follow steps, and 226 words. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. Since the solution to 4E from 8.1 chapter was answered, more than 373 students have viewed the full step-by-step answer. This full solution covers the following key subjects: engagement, change, drive, predict, maximum. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331.

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