Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781337431163
Author: DEVORE
Publisher: Cengage
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Chapter 12.2, Problem 13E
The accompanying data on y = ammonium concentration (mg/L) and x = transpiration (ml/h) was read from a graph in the article “Response of Ammonium Removal to Growth and Transpiration of Juncus effusus During the Treatment of Artificial Sewage in Laboratory-Scale Wetlands” (Water Research, 2013: 4265–4273). The article’s abstract stated “a
| x | 5.8 | 8.8 | 11.0 | 13.6 | 18.5 | 21.0 | 23.7 |
| y | 7.8 | 8.2 | 6.9 | 5.3 | 4.7 | 4.9 | 4.3 |
| x | 26.0 | 28.3 | 31.9 | 36.5 | 38.2 | 40.4 |
| y | 2.7 | 2.8 | 1.8 | 1.9 | 1.1 | .4 |
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Wrinkle recovery angle and tensile strength are the two most important characteristics for evaluating the performance of crosslinked cotton fabric. An increase in the degree of crosslinking, as determined by ester carboxyl band absorbance, improves the wrinkle
resistance of the fabric (at the expense of reducing mechanical strength). The accompanying data on x = absorbance and y = wrinkle resistance angle was read from a graph in the paper "Predicting the Performance of Durable Press Finished Cotton Fabric with
Infrared Spectroscopy".†
x 0.115 0.126 0.183 0.246 0.282 0.344 0.355 0.452 0.491 0.554 0.651
y 334 342 355 363
365 372 381 392
400 412 420
Here is regression output from Minitab:
Predictor
Constant
absorb
S = 3.60498
Coef
321.878
156.711
SOURCE
Regression
Residual Error
Total
SE Coef
2.483
6.464
R-Sq = 98.5%
DF
1
9
10
SS
7639.0
117.0
7756.0
T
129.64
24.24
0.000
0.000
R-Sq (adj) = 98.3%
MS
7639.0
13.0
F
P
587.81
(a) Does the simple linear regression model appear to be…
The article "Characteristics and Trends of River Discharge into Hudson, James, and Ungava
Bays, 1964-2000" (S. Dery, M. Stieglitz, et al., Journal of Climate, 2005:2540-2557)
presents measurements of discharge rate x (in kmlyr) andpeakflow y (in m/s) for 42 rivers
that drain into the Hudson, James, and Ungava Bays. The data are shown in the following
table:
Discharge
Peak Flow
94.24
4110.3
66.57
4961.7
59.79
10275.5
48.52
6616.9
40.00
7459.5
32.30
2784.4
31.20
3266.7
30.69
4368.7
26.65
1328.5
22.75
4437.6
21.20
1983.0
20.57
1320.1
19.77
1735.7
18.62
1944.1
17.96
3420.2
17.84
2655.3
16.06
3470.3
1561.6
14.69
11.63
869.8
11.19
936.8
11.08
1315.7
10.92
1727.1
9.94
768.1
7.86
483.3
Wrinkle recovery angle and tensile strength are the two most important characteristics for evaluating the performance of crosslinked cotton fabric. An increase in the degree of crosslinking, as determined by ester carboxyl band absorbance, improves the wrinkle resistance of the fabric (at the expense of reducing mechanical
strength). The accompanying data on x = absorbance and y = wrinkle resistance angle was read from a graph in the paper "Predicting the Performance of Durable Press Finished Cotton Fabric with Infrared Spectroscopy".t
半
0.115 0.126 0.183 0.246 0.282 0.344 0.355 0.452 0.491 0.554 0.651
334 342
355
363
365
372
381
392
400
412
420
Here is regression output from Minitab:
Predictor
Coef
SE Coef
P
Constant
321.878
2.483
129.64
0.000
absorb
156.711
6.464
24.24
0.000
S = 3.60498
R-Sq = 98.5%
R-Są (adj) - 98.3%
SOURCE
DF
MS
F
P
Regression
1
7639.0
7639.0
587.81
0.000
Residual Error
9
117.0
13.0
Total
10
7756.0
(a) Does the simple linear regression model appear to be…
Chapter 12 Solutions
Probability and Statistics for Engineering and the Sciences
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