In rock blasting, the peak particle velocity (PPV) depends both on the distance from the blast and on the amount of charge. The article "Prediction of Particle Velocity Caused by Blasting for an Infrastructure Excavation Covering Granite Bedrock" (A. Kahriman, Mineral Resources Engineering, 2001:205-218) presents data on PPV, scaled distance (which is equal to the distance divided by the square root of the charge), and the amount of charge. The following table presents the values of PPV, scaled distance, and amount of charge for 15 blasts. Scaled Distance (m/kg0.5) PPV Amount of Charge (mm/s) (kg) 1.4 47.33 4.2 15.7 9.6 92.0 2.54 15.8 40.0 1.14 24.3 48.7 0.889 23.0 95.7 1.65 12.7 67.7 1.4 39.3 13.0 26.8 8.0 70.0 1.02 29.94 13.5 4.57 10.9 41.0 6.6 8.63 108.8 1.02 28.64 27.43 3.94 18.21 59.1 1.4 33.0 11.5 1.4 34.0 175.0 Fit the model In PPV = Bo + B1 In Scaled Distance + B2 In Charge + E. Compute the P- value for testing Ho : B¡ = 0 for Bo. B1, and Bz. b. The article claims that the model In PPV = Bo + B1 In Scaled Distance + e is appropriate. Fit this model. Compute the P-value for testing H, : Bi = 0 for Bo. B1, and a. B2- Which model do you prefer? Why? C.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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In rock blasting, the peak particle velocity (PPV) depends both on the distance from the
blast and on the amount of charge. The article "Prediction of Particle Velocity Caused by
Blasting for an Infrastructure Excavation Covering Granite Bedrock" (A. Kahriman,
Mineral Resources Engineering, 2001:205-218) presents data on PPV, scaled distance
(which is equal to the distance divided by the square root of the charge), and the amount of
charge. The following table presents the values of PPV, scaled distance, and amount of
charge for 15 blasts.
Scaled Distance
(m/kg0.5)
PPV
Amount of Charge
(mm/s)
(kg)
1.4
47.33
4.2
15.7
9.6
92.0
2.54
15.8
40.0
1.14
24.3
48.7
0.889
23.0
95.7
1.65
12.7
67.7
1.4
39.3
13.0
26.8
8.0
70.0
1.02
29.94
13.5
4.57
10.9
41.0
6.6
8.63
108.8
1.02
28.64
27.43
3.94
18.21
59.1
1.4
33.0
11.5
1.4
34.0
175.0
Fit the model In PPV = Bo + B1 In Scaled Distance + B2 In Charge + E. Compute the P-
value for testing Ho : B¡ = 0 for Bo. B1, and Bz.
b. The article claims that the model In PPV = Bo + B1 In Scaled Distance + e is
appropriate. Fit this model. Compute the P-value for testing H, : Bi = 0 for Bo. B1, and
a.
B2-
Which model do you prefer? Why?
C.
Transcribed Image Text:In rock blasting, the peak particle velocity (PPV) depends both on the distance from the blast and on the amount of charge. The article "Prediction of Particle Velocity Caused by Blasting for an Infrastructure Excavation Covering Granite Bedrock" (A. Kahriman, Mineral Resources Engineering, 2001:205-218) presents data on PPV, scaled distance (which is equal to the distance divided by the square root of the charge), and the amount of charge. The following table presents the values of PPV, scaled distance, and amount of charge for 15 blasts. Scaled Distance (m/kg0.5) PPV Amount of Charge (mm/s) (kg) 1.4 47.33 4.2 15.7 9.6 92.0 2.54 15.8 40.0 1.14 24.3 48.7 0.889 23.0 95.7 1.65 12.7 67.7 1.4 39.3 13.0 26.8 8.0 70.0 1.02 29.94 13.5 4.57 10.9 41.0 6.6 8.63 108.8 1.02 28.64 27.43 3.94 18.21 59.1 1.4 33.0 11.5 1.4 34.0 175.0 Fit the model In PPV = Bo + B1 In Scaled Distance + B2 In Charge + E. Compute the P- value for testing Ho : B¡ = 0 for Bo. B1, and Bz. b. The article claims that the model In PPV = Bo + B1 In Scaled Distance + e is appropriate. Fit this model. Compute the P-value for testing H, : Bi = 0 for Bo. B1, and a. B2- Which model do you prefer? Why? C.
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