Month Crude Oil Gasoline Month Crude Oil Gasoline 1 74 1.413 13 79 2.068 2 74 1.714 14 82 2.469 3 76 1.571 15 82 2.165 4 75 1.889 16 83 2.104 5 75 1.642 17 81 2.858 6 75 1.759 18 78 2.501 7 77 2.264 19 74 2.975 8 83 1.634 20 81 2.865 9 73 1.155 21 83 2.977 10 78 1.774 22 84 3.071 11 80 1.658 23 85 3.303 12 76 2.109 24 84 3.312

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Related questions
Question
Month
Crude Oil
Gasoline
Month
Crude Oil
Gasoline
1
74
1.413
13
79
2.068
2
74
1.714
14
82
2.469
3
76
1.571
15
82
2.165
4
75
1.889
16
83
2.104
5
75
1.642
17
81
2.858
6
75
1.759
18
78
2.501
7
77
2.264
19
74
2.975
8
83
1.634
20
81
2.865
9
73
1.155
21
83
2.977
10
78
1.774
22
84
3.071
11
80
1.658
23
85
3.303
12
76
2.109
24
84
3.312
What is the relationship between the price of crude oil and the price you pay at the pump for gasoline? The accompanying table shows the
prices of crude oil and the price you pay at the pump for 24 consecutive months. Complete parts (a) through (h) below.
Click the icon to view the data table.
Click the icon to view a table of critical values of the Durbin-Watson statistic.
a. Construct a scatter plot with the crude oil cost (in dollars) on the horizontal axis and the gasoline cost (in dollars per gallon) on the
vertical axis. Choose the correct graph below.
O A.
Gasoline ($/gal)
A
65432TO9
6+
1-
0-
60 70 80 90
Crude Oil ($)
B.
A
5+
4-
3+
2-
0-
60 70 80 90
Crude Oil ($)
C.
5-
3-
2-
60 70 80 90
Crude Oil ($)
O D.
Gasoline ($/gal)
5-
4.
10.8.
3-
2-
P.R.
1-
0-
*5*
60 70 80 90
Crude Oil ($)
Q
Transcribed Image Text:What is the relationship between the price of crude oil and the price you pay at the pump for gasoline? The accompanying table shows the prices of crude oil and the price you pay at the pump for 24 consecutive months. Complete parts (a) through (h) below. Click the icon to view the data table. Click the icon to view a table of critical values of the Durbin-Watson statistic. a. Construct a scatter plot with the crude oil cost (in dollars) on the horizontal axis and the gasoline cost (in dollars per gallon) on the vertical axis. Choose the correct graph below. O A. Gasoline ($/gal) A 65432TO9 6+ 1- 0- 60 70 80 90 Crude Oil ($) B. A 5+ 4- 3+ 2- 0- 60 70 80 90 Crude Oil ($) C. 5- 3- 2- 60 70 80 90 Crude Oil ($) O D. Gasoline ($/gal) 5- 4. 10.8. 3- 2- P.R. 1- 0- *5* 60 70 80 90 Crude Oil ($) Q
Table of Critical Values of the Durbin-Watson statistic
Critical Values, d₂ and du, of the Durbin-Watson Statistic, D
11
15
16
11
k = 1
29
30
d₂ du
17
18
19
20
21
22
23
24
25 1.29 1.45
26
27 1.32
28
.33
31
32
d₂ du
1.08 1.36
.82 1.75
1.10
1.37
.86
1.73
1.13
1.38
1.02
1.54
.90
1.71
1.16
1.39 1.05 1.53
.93 1.69
1.18 1.40
1.08 1.53 .97 1.68
1.20 1.41 1.10 1.54 1.00 1.68
1.22 1.42 1.13 1.54 1.03
1.67
1.05 1.66
1.24
1.43 1.15 1.54
1.26 1.44 1.17 1.54 1.08 1.66 .99
1.27 1.45 1.19 1.55 1.10 1.66 1.01
1.21 1.55 1.12 1.66 1.04
1.65
1.06
1.30 1.46 1.22 1.55
1.47
1.48
1.14
1.16
1.18 1.65 1.10 1.75
1.65 1.08
1.24 1.56
1.26 1.56
1.76
1.48
1.27
1.20 1.65 1.12
1.21 1.65 1.14 1.74
1.49 1.28
1.65 1.16 1.74
1.65
1.18
1.73
1.65
1.19 1.73
1.65
1.21
1.73
1.65
1.22
1.73
1.65 1.24
1.34
1.56
1.57
1.35
1.36 1.50
1.30 1.57 1.23
1.31 1.57 1.24
1.37
1.50
33
1.38
1.32 1.58 1.26
1.51
34 1.39 1.51 1.33
1.27
1.58
1.52 1.34 1.58 1.28
35 1.40
36 1.41
1.52
1.35
1.59
1.29
37
1.42
1.53
1.36
1.59
38 1.43
1.54
1.37
1.59
39 1.43 1.54
1.38
1.60
40 1.44 1.54 1.39
1.60
45 1.48
50 1.50 1.59
55 1.53 1.60
60 1.55 1.62
k = 2
d₁ du
.95
1.54
.98 1.54
1.57 1.43
1.46
1.49
1.51
65 1.57 1.63
70 1.58
75 1.60
1.65
80 1.61 1.66
85 1.62 1.67
90 1.63 1.68
95 1.64 1.69
100 1.65 1.69
d₂
du
k = 1
α = 0.05
k=3
k = 2
Print
1.62
1.63
1.64
1.65
1.54
1.66 1.50
1.64 1.55
1.67
1.52
1.57
1.68
1.54
1.59
1.69
1.56
1.60
1.70 1.57
1.61
1.70
1.59
1.62
1.71
1.60
1.63 1.72
1.61 1.74
d₂
du
1.31 1.66
1.32
1.33
1.34
1.38
1.42
1.45
1.48
d₂
k = 4
k=3
d₂ du
du
d₂ du
.69
1.97
56
2.21
.74 1.9 Question Viewer
.78
1.90
.82 1.87
.86
1.85
.90 1.83
1.66 1.26
1.66
1.66
.93
1.81
.96 1.80
1.79
1.78
Done
1.27
1.29
1.77
1.76
k = 5
.07
.71
.75
.79
2.10
2.06
2.02
1.99
.83 1.96
.86
1.94
.90
1.92
.93 1.90
.95
.98
k = 4
1.01
1.03
1.74 1.05 1.84
1.07 1.83
1.83
1.82
1.81
1.81
1.80
1.80
1.25 1.72
1.19
1.72
1.21
1.72 1.22
1.72 1.23
1.09
1.11
1.13
1.15
1.16
1.73 1.18
1.67
1.34 1.72
1.29 1.78
1.67 1.38 1.72 1.34 1.77
1.68
1.41
1.72
1.38
1.77
1.69
1.44 1.73
1.41 1.77
1.70
1.47
1.70
1.49 1.74
1.71
1.51 1.74
1.72
1.53
1.74
1.72
1.55 1.75
1.73
1.57
1.73 1.58
1.89
1.88
1.86
1.85
1.80
1.79
1.79
1.79
1.73 1.44 1.77
1.46 1.77
1.49
1.77
1.51
1.77
1.52
1.75 1.54
1.75 1.56
1.59 1.76 1.57
d₂
du
d₂
1.77
1.78
1.78
1.78
du
k = 5
Transcribed Image Text:Table of Critical Values of the Durbin-Watson statistic Critical Values, d₂ and du, of the Durbin-Watson Statistic, D 11 15 16 11 k = 1 29 30 d₂ du 17 18 19 20 21 22 23 24 25 1.29 1.45 26 27 1.32 28 .33 31 32 d₂ du 1.08 1.36 .82 1.75 1.10 1.37 .86 1.73 1.13 1.38 1.02 1.54 .90 1.71 1.16 1.39 1.05 1.53 .93 1.69 1.18 1.40 1.08 1.53 .97 1.68 1.20 1.41 1.10 1.54 1.00 1.68 1.22 1.42 1.13 1.54 1.03 1.67 1.05 1.66 1.24 1.43 1.15 1.54 1.26 1.44 1.17 1.54 1.08 1.66 .99 1.27 1.45 1.19 1.55 1.10 1.66 1.01 1.21 1.55 1.12 1.66 1.04 1.65 1.06 1.30 1.46 1.22 1.55 1.47 1.48 1.14 1.16 1.18 1.65 1.10 1.75 1.65 1.08 1.24 1.56 1.26 1.56 1.76 1.48 1.27 1.20 1.65 1.12 1.21 1.65 1.14 1.74 1.49 1.28 1.65 1.16 1.74 1.65 1.18 1.73 1.65 1.19 1.73 1.65 1.21 1.73 1.65 1.22 1.73 1.65 1.24 1.34 1.56 1.57 1.35 1.36 1.50 1.30 1.57 1.23 1.31 1.57 1.24 1.37 1.50 33 1.38 1.32 1.58 1.26 1.51 34 1.39 1.51 1.33 1.27 1.58 1.52 1.34 1.58 1.28 35 1.40 36 1.41 1.52 1.35 1.59 1.29 37 1.42 1.53 1.36 1.59 38 1.43 1.54 1.37 1.59 39 1.43 1.54 1.38 1.60 40 1.44 1.54 1.39 1.60 45 1.48 50 1.50 1.59 55 1.53 1.60 60 1.55 1.62 k = 2 d₁ du .95 1.54 .98 1.54 1.57 1.43 1.46 1.49 1.51 65 1.57 1.63 70 1.58 75 1.60 1.65 80 1.61 1.66 85 1.62 1.67 90 1.63 1.68 95 1.64 1.69 100 1.65 1.69 d₂ du k = 1 α = 0.05 k=3 k = 2 Print 1.62 1.63 1.64 1.65 1.54 1.66 1.50 1.64 1.55 1.67 1.52 1.57 1.68 1.54 1.59 1.69 1.56 1.60 1.70 1.57 1.61 1.70 1.59 1.62 1.71 1.60 1.63 1.72 1.61 1.74 d₂ du 1.31 1.66 1.32 1.33 1.34 1.38 1.42 1.45 1.48 d₂ k = 4 k=3 d₂ du du d₂ du .69 1.97 56 2.21 .74 1.9 Question Viewer .78 1.90 .82 1.87 .86 1.85 .90 1.83 1.66 1.26 1.66 1.66 .93 1.81 .96 1.80 1.79 1.78 Done 1.27 1.29 1.77 1.76 k = 5 .07 .71 .75 .79 2.10 2.06 2.02 1.99 .83 1.96 .86 1.94 .90 1.92 .93 1.90 .95 .98 k = 4 1.01 1.03 1.74 1.05 1.84 1.07 1.83 1.83 1.82 1.81 1.81 1.80 1.80 1.25 1.72 1.19 1.72 1.21 1.72 1.22 1.72 1.23 1.09 1.11 1.13 1.15 1.16 1.73 1.18 1.67 1.34 1.72 1.29 1.78 1.67 1.38 1.72 1.34 1.77 1.68 1.41 1.72 1.38 1.77 1.69 1.44 1.73 1.41 1.77 1.70 1.47 1.70 1.49 1.74 1.71 1.51 1.74 1.72 1.53 1.74 1.72 1.55 1.75 1.73 1.57 1.73 1.58 1.89 1.88 1.86 1.85 1.80 1.79 1.79 1.79 1.73 1.44 1.77 1.46 1.77 1.49 1.77 1.51 1.77 1.52 1.75 1.54 1.75 1.56 1.59 1.76 1.57 d₂ du d₂ 1.77 1.78 1.78 1.78 du k = 5
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