The article "Electrical Impedance Variation with Water Saturation in Rock" (Q. Su, Q. Feng, and Z. Shang, Geophysics, 2000:68–75) reports measurements of permeabilities (in 10-3um?), porosities (in percent), and surface area per unit volume of pore space (in 104 cm -1) for several rock samples. The results are presented in the following table, denoting In Permeability by y, porosity by x1, and surface area per unit volume by x2. y -0.27 х, 19.83 X2 9.55 2.58 17.93 10.97 3.18 21.27 31.02 1.70 18.67 28.12 -1.17 7.98 52.35 -0.27 10.16 32.82 17.86 13.48 -0.53 57.66 -0.29 21.10 4.94 17.49 9.15 1.94 14.18 11.72 3.74 23.88 5.43 0.58 10.52 20.03 -0.56 18.92 13.10 -0.49 18.55 12.78 -0.01 13.72 40.28 -1.71 9.12 53.67 14.39 11.38 -0.12 26.75 -0.92 75.62 2.18 16.59 9.95 4.46 16.77 7.88 2.11 18.55 88.10 -0.04 18.02 10.95 Fit the model y = 6, + B,X1 + B>x2 + B3x;xX2 + ɛ. Compute the analysis of variance table. a. b. Fit the model y = Bo + B;X1 + B2X2 + ɛ. Compute the analysis of variance table. c. Fit the model y = Bo + B;X1 + ɛ. Compute the analysis of variance table. d. Compute the F statistics for comparing the models in parts (b) and (c) with the model in part (a). Which model do you prefer? Why?
The article "Electrical Impedance Variation with Water Saturation in Rock" (Q. Su, Q. Feng, and Z. Shang, Geophysics, 2000:68–75) reports measurements of permeabilities (in 10-3um?), porosities (in percent), and surface area per unit volume of pore space (in 104 cm -1) for several rock samples. The results are presented in the following table, denoting In Permeability by y, porosity by x1, and surface area per unit volume by x2. y -0.27 х, 19.83 X2 9.55 2.58 17.93 10.97 3.18 21.27 31.02 1.70 18.67 28.12 -1.17 7.98 52.35 -0.27 10.16 32.82 17.86 13.48 -0.53 57.66 -0.29 21.10 4.94 17.49 9.15 1.94 14.18 11.72 3.74 23.88 5.43 0.58 10.52 20.03 -0.56 18.92 13.10 -0.49 18.55 12.78 -0.01 13.72 40.28 -1.71 9.12 53.67 14.39 11.38 -0.12 26.75 -0.92 75.62 2.18 16.59 9.95 4.46 16.77 7.88 2.11 18.55 88.10 -0.04 18.02 10.95 Fit the model y = 6, + B,X1 + B>x2 + B3x;xX2 + ɛ. Compute the analysis of variance table. a. b. Fit the model y = Bo + B;X1 + B2X2 + ɛ. Compute the analysis of variance table. c. Fit the model y = Bo + B;X1 + ɛ. Compute the analysis of variance table. d. Compute the F statistics for comparing the models in parts (b) and (c) with the model in part (a). Which model do you prefer? Why?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The article "Electrical Impedance Variation with Water Saturation in Rock" (Q. Su, Q.
Feng, and Z. Shang, Geophysics, 2000:68–75) reports measurements of permeabilities (in
10-3um?), porosities (in percent), and surface area per unit volume of pore space (in 104 cm
-1) for several rock samples. The results are presented in the following table, denoting In
Permeability by y, porosity by x1, and surface area per unit volume by x2.
y
-0.27
х,
19.83
X2
9.55
2.58
17.93
10.97
3.18
21.27
31.02
1.70
18.67
28.12
-1.17
7.98
52.35
-0.27
10.16
32.82
17.86
13.48
-0.53
57.66
-0.29
21.10
4.94
17.49
9.15
1.94
14.18
11.72
3.74
23.88
5.43
0.58
10.52
20.03
-0.56
18.92
13.10
-0.49
18.55
12.78
-0.01
13.72
40.28
-1.71
9.12
53.67
14.39
11.38
-0.12
26.75
-0.92
75.62
2.18
16.59
9.95
4.46
16.77
7.88
2.11
18.55
88.10
-0.04
18.02
10.95
Fit the model y = 6, + B,X1 + B>x2 + B3x;xX2 + ɛ. Compute the analysis of variance table.
a.
b. Fit the model y = Bo + B;X1 + B2X2 + ɛ. Compute the analysis of variance table.
c. Fit the model y = Bo + B;X1 + ɛ. Compute the analysis of variance table.
d. Compute the F statistics for comparing the models in parts (b) and (c) with the model
in part (a). Which model do you prefer? Why?
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