Numerical Methods For Engineers, 7 Ed
7th Edition
ISBN: 9789352602131
Author: Canale Chapra
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 17, Problem 6P
Use least-squares regression to fit a straight line to
| x | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| y | 1 | 1.5 | 2 | 3 | 4 | 5 | 8 | 10 | 13 |
(a) Along with the slope and intercept, compute the standard error of the estimate and the
(b) Recompute(a), but use polynomial regression to fit a parabola to the data. Compare the results with those of (a).
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Use the regression line to make the appropriate prediction.
A random sample of records of electricity usage of homes in the month of July gives
the amount of electricity used and size (in square feet) of 135 homes. A regression
was done to predict the amount of electricity used (in kilowatt-hours) (y) from size
(x). The residuals plot indicated that a linear model is appropriate. The model is y =
0.2x + 1271. How much electricity would you predict would be used in a house that
is 2471 square feet?
1765.2 kilowatt-hours
6000.00 kilowatt-hours
3742.2 kilowatt-hours
494.2 kilowatt-hours
776.8 kilowatt-hours
Use the regression line to make the appropriate prediction.
A random sample of records of electricity usage of homes in the month of July gives
the amount of electricity used and size (in square feet) of 135 homes. A regression
was done to predict the amount of eleçtricity used (in kilowatt-hours) (y) from size
(x). The residuals plot indicated that a inear model is appropriate. The model is y =
0.2x+ 1271. How much electricity would you predict would be used in a house that
is 2471 square feet?
494.2 kilowatt-hours
O 6000.00 kilowatt-hours
O 1765.2 kilowatt-hours
O 776.8 kilowatt-hours
3742.2 kilowatt-hours
The table shows the average weekly wages (in dollars) for state government employees and federal government
employees for 8 years. The equation of the regression line is y = 1.493x - 83.403. Complete parts (a) and (b) below.
A
Average Weekly
Wages (state), x
Average Weekly
Wages (federal), y
764
1003
766
1048
791
1119
(a) Find the coefficient of determination and interpret the result.
r² = 0
(Round to three decimal places as needed.)
800
1152
843
1201
887
1250
924
1277
939
1306
Chapter 17 Solutions
Numerical Methods For Engineers, 7 Ed
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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