EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 17, Problem 21P
Use nonlinear regression to fit a saturation-growth-rate equation to the data in Prob. 17.16.
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Solve problem 4 in the correlation and regression handout. Submit your spreadsheet file
WLEY
6-44. The data that follow are DC output from a windmill (y)
and wind velocity (x).
(a) Draw a scatter diagram of these data. What type of rela-
tionship seems appropriate in relating y to x?
(b) Fit a simple linear regression model to these data.
(c) Test for significance of regression using a = 0.05. What
conclusions can you draw?
(d) Plot the residuals from the simple linear regression model
versus y, and versus wind velocity x. What do you con-
clude about model adequacy?
(e) Based on the analysis, propose another model relating y to.x.
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(f) Fit the regression model you have proposed in part (e).
Test for significance of regression (use a = 0.05), and
graphically analyze the residuals from this model. What
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Observation
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9
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Wind Velocity
(MPH), x
5.00
6.00
3.40
2.70
10.00
9.70
9.55
3.05
8.15
6.20
2.90
6.35
4.60
5.80
7.40…
b) In an engine design, a pair of bearing is designed to carry low load. If the lifetime of the pair of
identical gear obey Weibull distribution with random with parameter a=0.0002 and B=0.5.
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(b) Find the probability that both bearings functions properly at least 6000 hours.
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Chapter 17 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 17 - Given these data 8.8 9.5 9.8 9.4 10.0 9.4 10.1 9.2...Ch. 17 - Given these data 29.65 28.55 28.65 30.15 29.35...Ch. 17 - 17.3 Use least-squares regression to fit a...Ch. 17 - 17.4 Use least-squares regression to fit a...Ch. 17 - 17.5 Using the same approach as was employed to...Ch. 17 - Use least-squares regression to fit a straight...Ch. 17 - Fit the following data with (a) A...Ch. 17 - Fit the following data with the power model...Ch. 17 - 17.9 Fit an exponential model...Ch. 17 - 17.10 Rather than using the base-e exponential...
Ch. 17 - 17.11 Beyond the examples in Fig. 17.10, there are...Ch. 17 - 17.12 An investigator has reported the data...Ch. 17 - An investigator has reported the data tabulated...Ch. 17 - 17.14 It is known that the data tabulated below...Ch. 17 - 17.15 The following data are...Ch. 17 - Given these data x 5 10 15 20 25 30 35 40 45 50 y...Ch. 17 - 17.17 Fit a cubic equation to the following...Ch. 17 - Use multiple linear regression to fit x1 0 1 1 2 2...Ch. 17 - Use multiple linear regression to fit x1 0 0 1 2 0...Ch. 17 - Use nonlinear regression to fit a parabola to the...Ch. 17 - 17.21 Use nonlinear regression to fit a...Ch. 17 - 17.22 Recompute the regression fits from Probs....Ch. 17 - Develop, debug, and test a program in either a...Ch. 17 - A material is tested for cyclic fatigue failure...Ch. 17 - The following data show the relationship between...Ch. 17 - 17.26 The data below represents the bacterial...Ch. 17 - The concentration of E. coli bacteria in a...Ch. 17 - 17.28 An object is suspended in a wind tunnel and...Ch. 17 - 17.29 Fit a power model to the data from Prob....Ch. 17 - Derive the least-squares fit of the following...Ch. 17 - 17.31 In Prob. 17.11 we used transformations to...
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