e. Compute the Durbin-Watson statistic. D= (Round to two decimal places as needed.)
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:p between the price of crude oil and the price you pay at the pump for gasoline? The accompanying table shows the prices of crude
iew the data table.
view a table of critical values of the Durbin-Watson statistic.
Data Table
Month
1
8659 A WN.
2
3
4
7
9
10
11
12
Crude Oil
74 74 70 75 75 75 7 3 73 78 80 76
76
77
83
Gasoline
1.413
1.714
1.571
1.889
1.642
1.759
2.264
1.634
1.155
1.774
1.658
2.109
Print
Month
13
14
567892
15
16
17
18
19
20
21
22
23
24
Crude Oil
79
Done
P228HE NEE
83
81
78
74
81
83
84
85
84
Gasoline
2.068
2.469
2.165
2.104
2.858
2.501
2.975
2.865
2.977
3.071
3.303
3.312
X
se
nd
Table of Critical Values of the Durbin-Watson statistic
Critical Values, d, and du, of the Durbin-Watson Statistic, D
k = 1
11
k = 2
k = 1
du
1.54
1.54
α = 0.05
d₂
du
d₂
d₁
du
15
1.08
16 1.10
1.36
.95
1.37 .98
1.38 1.02 1.54
1.75
1.73
17 1.13
18 1.16
19 1.18
.82
.86
.90 1.71
1.39 1.05 1.53 .93 1.69
1.40 1.08 1.53 .97 1.68
20 1.20 1.41 1.10 1.54 1.00 1.68
21
1.54 1.03 1.67
22 1.24 1.43 1.15 1.54 1.05 1.66
23 1.26 1.44 1.17 1.54 1.08 1.66
24 1.27 1.45
1.19
1.55 1.10
1.66
25 1.29 1.45 1.21 1.55 1.12
1.22 1.42 1.13
.93 1.81
1.80
1.79
.96
.99
1.01
1.04
.83
.86
.90
.93
.95
1.78
.98
29
1.83
1.18 1.73 1.11
1.66
1.77
26 1.30 1.46 1.22 1.55 1.14 1.65 1.06 1.76
27 1.32 1.47 1.24 1.56 1.16 1.65 1.08 1.76 1.01
28 .33 1.48 1.26 1.56 1.18 1.65 1.10
1.03
1.75
1.34 1.48 1.27 1.56 1.20 1.65 1.12 1.74 1.05
30 1.35 1.49 1.28 1.57 1.21 1.65 1.14 1.74 1.07
31 1.36 1.50
1.30
1.57
1.23
1.65 1.16 1.74 1.09
32 1.37 1.50 1.31 1.57 1.24 1.65
33 1.38 1.51 1.32 1.58 1.26 1.65
34 1.39 1.51 1.33 1.58 1.27 1.65
35 1.40 1.52 1.34 1.58 1.28 1.65
36 1.41 1.52 1.35 1.59 1.29 1.65
37 1.42 1.53 1.36 1.59 1.31 1.66
38 1.43 1.54 1.37 1.59 1.32 1.66 1.26
39 1.43 1.54 1.38 1.60 1.33 1.66 1.27
40 1.44
1.29
45 1.48 1.57
1.67 1.34
1.82
1.81
1.81
1.80
1.19 1.73 1.13
1.21 1.73 1.15
1.22 1.73 1.16
1.24 1.73 1.18
1.25 1.72 1.19
1.72 1.21
1.80
1.80
1.79
1.72 1.22
1.79
1.54 1.39
1.60
1.43 1.62
1.34 1.66
1.38
1.72 1.23
1.72 1.29
50
1.50 1.59 1.46 1.63
1.67 1.38 1.72 1.34
1.53 1.60 1.49 1.64
1.55 1.62 1.51 1.65
55
60
65 1.57 1.63 1.54 1.66
70 1.58 1.64 1.55 1.67
75 1.60 1.65
1.57
1.68
80 1.61 1.66 1.59 1.69
85
90
95
100
1.79
1.78
1.42
1.77
1.45 1.68 1.41 1.72 1.38 1.77
1.48 1.69 1.44 1.73 1.41 1.77
1.50 1.70 1.47 1.73 1.44 1.77
1.52 1.70 1.49 1.74 1.46 1.77
1.54 1.71 1.51
1.74
1.49 1.77
1.56 1.72 1.53 1.74 1.51 1.77
1.57 1.72 1.55 1.75 1.52
1.59 1.73 1.57 1.75 1.54
1.60 1.73 1.58 1.75 1.56
1.61 1.74 1.59 1.76 1.57
1.62 1.67 1.60 1.70
1.63 1.68 1.61 1.70
1.64
1.65
1.77
1.78
1.78
1.78
1.69 1.62 1.71
1.69 1.63 1.72
d₂
du
d₂
du
d₂
du
d₂
du
d₂
du
k = 2
k = 3
k = 4
k=3
d₂
du
.69
.74
.78
.82
.86
.90 1.83
1.97
1.93
1.90
1.87
1.85
k = 5
k = 4
d₁
56
du
2.21
2.15
2.10
2.06
2.02
1.99
1.96
1.94
1.92
1.90
1.89
1.88
1.86
1.85
.56
.62
.67
.71
.75
.79
1.84
1.83
k = 5
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.
b. Use the least-squares method to develop a simple linear regression equation to predict the gasoline prices using the average crude oil cost as the independent
variable.
¡= − 6.054 + (0.105) X₁
(Round to three decimal places as needed.)
c. Interpret the meaning of the slope, b₁, in this problem. Choose the correct answer below.
A. A slope of b₁ indicates no linear relationship between the variables.
B. The slope, b₁, implies that for each increase of 1 unit of crude oil cost, the gasoline cost is expected to change by the value of b₁.
C. A slope of b₁
indicates a moderate linear relationship between the variables.
D. The slope, b₁, implies that the average cost of crude oil is about b₁ dollars.
d. Plot the residuals versus the time period. Choose the correct graph below.
Residual
A.
100-
50+
0
Month
24
Residual
B.
2-
e. Compute the Durbin-Watson statistic.
D= (Round to two decimal places as needed.)
Month
24
Residual
0-
0
Month
24
Residual
D.
Month
24
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