The maintenance manager at a trucking company wants to build a regression model to forecast the time until the first engine overhaul (Time in years) based on four predictor variables: (1) annual miles driven (Miles in 1,000s). (2) average load weight (Load in tons). (3) average driving speed (Speed in mph), and (4) oil change interval (Oil in 1,000s miles). Based on driver logs and onboard computers. data have been obtained for a sample of 25 trucks. The accompanying file contains relevant data. Click here for the Excel Data File a. Estimate the time until the first engine overhaul as a function of all four predictor variables. Note: Negative values should be Indicated by a minus sign. Round your answers to 2 decimal places. Time= OMG: B₁ = B₂= B3 = 84= 0: MA: At least one 8;> 0 ⒸM: B₁ = B₂= B₂ = 84 = 0: M₂: At least one B; <0 OM: B₁ = B₂ = B3 = 84 = 0: MA: At least one 8; = 0 b-2. Find the p-value. Miles + b-1. At the 10% significance level, are the predictor variables jointly significant? First, specify the competing hypotheses. O p-value < 0.01 0.01s p-value < 0.025 0.025 s p-value < 0.05 O 0.05 ≤ p-value < 0.10 p-value ≥ 0.10 Load + Speed + Oil

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 22EQ
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Time Miles Load Speed Oil
8
0.9
8.5
0.9
1.8
1.7
3
7
8.3
3.9
0.9
4.7
4.8
5.2
5.2
8.2
5.3
6.3
4.4
6.1
6.9
7.2
3.7
7
6
43.3
99
43.6
111.2
102.7
97.4
92.8
53.8
51.7
85.2
120.3
77
68.4
54.8
67.1
39
53.1
53.8
75
59.1
52.8
68.7
95
45.3
61.1
Show Transcribed Text
Time=
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25
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b-2. Find the p-value.
28
O p-value < 0.01
O 0.01 < p-value < 0.025
O 0.025 s p-value < 0.05
O 0.05 ≤ p-value < 0.10
p-value ≥ 0.10
24
23
20
22
25
29
25
21
24
20
20
21
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20
22
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24
S45H5N8885888483
SEHNENEHN2222
56
61
75
61
72
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66
51
65
59
73
57
63
56
56
63
69
68
66
56
68
73
30
42
Miles +
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24
24
18
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34
33
40
25
18
21
28
28
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38
14
34
21
20
The maintenance manager at a trucking company wants to build a regression model to forecast the time until the first engine overhaul
(Time in years) based on four predictor variables: (1) annual miles driven (Miles in 1,000s). (2) average load weight (Load in tons), (3)
average driving speed (Speed in mph), and (4) oil change interval (Oil in 1,000s miles). Based on driver logs and onboard computers.
data have been obtained for a sample of 25 trucks. The accompanying file contains relevant data.
Click here for the Excel Data File
25
a. Estimate the time until the first engine overhaul as a function of all four predictor variables.
Note: Negative values should be Indicated by a minus sign. Round your answers to 2 decimal places.
24
g
ⒸH: B₁ = B₂ = B3 = B4 = 0: HA: At least one B; > 0
OH: B₁ = B₂ = B3 = B4 = 0: M₂: At least one B; <0
ⒸH: B₁ = B₂ = B3 = B4 = 0: M₂: At least one B; = 0
b-1. At the 10% significance level, are the predictor variables jointly significant? First, specify the competing hypotheses.
Load +
Speed +
Oil
Transcribed Image Text:Time Miles Load Speed Oil 8 0.9 8.5 0.9 1.8 1.7 3 7 8.3 3.9 0.9 4.7 4.8 5.2 5.2 8.2 5.3 6.3 4.4 6.1 6.9 7.2 3.7 7 6 43.3 99 43.6 111.2 102.7 97.4 92.8 53.8 51.7 85.2 120.3 77 68.4 54.8 67.1 39 53.1 53.8 75 59.1 52.8 68.7 95 45.3 61.1 Show Transcribed Text Time= 19 25 21 27 b-2. Find the p-value. 28 O p-value < 0.01 O 0.01 < p-value < 0.025 O 0.025 s p-value < 0.05 O 0.05 ≤ p-value < 0.10 p-value ≥ 0.10 24 23 20 22 25 29 25 21 24 20 20 21 19 22 20 22 18 23 17 24 S45H5N8885888483 SEHNENEHN2222 56 61 75 61 72 60 66 51 65 59 73 57 63 56 56 63 69 68 66 56 68 73 30 42 Miles + 14 24 24 18 26 23 34 33 40 25 18 21 28 28 30 38 14 34 21 20 The maintenance manager at a trucking company wants to build a regression model to forecast the time until the first engine overhaul (Time in years) based on four predictor variables: (1) annual miles driven (Miles in 1,000s). (2) average load weight (Load in tons), (3) average driving speed (Speed in mph), and (4) oil change interval (Oil in 1,000s miles). Based on driver logs and onboard computers. data have been obtained for a sample of 25 trucks. The accompanying file contains relevant data. Click here for the Excel Data File 25 a. Estimate the time until the first engine overhaul as a function of all four predictor variables. Note: Negative values should be Indicated by a minus sign. Round your answers to 2 decimal places. 24 g ⒸH: B₁ = B₂ = B3 = B4 = 0: HA: At least one B; > 0 OH: B₁ = B₂ = B3 = B4 = 0: M₂: At least one B; <0 ⒸH: B₁ = B₂ = B3 = B4 = 0: M₂: At least one B; = 0 b-1. At the 10% significance level, are the predictor variables jointly significant? First, specify the competing hypotheses. Load + Speed + Oil
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