NUMERICAL METH. F/ENGR.(LL)--W/ACCESS
7th Edition
ISBN: 9781260514131
Author: Chapra
Publisher: MCG
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Textbook Question
Chapter 17, Problem 8P
Fit the following data with the power model
| x | 2.5 | 3.5 | 5 | 6 | 7.5 | 10 | 12.5 | 15 | 17.5 | 20 |
| y | 13 | 11 | 8.5 | 8.2 | 7 | 6.2 | 5.2 | 4.8 | 4.6 | 4.3 |
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Which functions may have been used to generate the following plot and its underlying data?
a) lm()b) points()c) abline()d) integrate()
Based on the data shown below, calculate the regression line (each value to two decimal places)y = x +
x
y
5
16.8
6
12.4
7
10.3
8
9.9
9
5.6
10
6.2
11
2.9
From 8 observations the following results were obtainedΣXΣ =544, ΣY =552, ΣXY = 37560, ΣX^2 =37028, ΣY^2 =38132.
Find
i) the correlation co- efficient,
ii) and, state the relationship,
iii) the regression line equation = Y=mX+bY=mX+b
Chapter 17 Solutions
NUMERICAL METH. F/ENGR.(LL)--W/ACCESS
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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