Required information The following table lists values for three variables measured for 60 consecutive eruptions of the geyser Old Faithful in Yellowstone National Park. They are the duration of the eruption (x), the duration of the dormant period immediately before the eruption (x2), and the duration of the dormant period immediately after the eruption (y). All the times are in minutes. Click here to download this data set. x1 x2 у x1 x2 y x1 x2 y x1 *2 у 3.5 80 84 1.8 42 91 4.7 88 51 4.1 70 79 4.1 84 50 4.1 91 51 1.8 51 80 3.7 79 60 2.3 50 93 1.8 51 79 4.6 80 49 3.8 60 86 4.7 93 55 3.2 79 53 1.9 49 82 3.4 86 71 1.7 55 76 1.9 53 82 3.5 82 75 4 71 67 4.9 76 58 4.6 82 51 4 75 73 23 67 81 1.7 58 74 2 51 76 3.7 73 67 4.4 81 76 4.6 74 75 4.5 76 82 3.7 67 68 4.1 76 83 3.4 75 80 3.9 82 84 4.3 68 86 4.3 83 76 4.3 80 56 4.3 84 53 3.6 86 72 3.3 76 55 1.7 56 80 23 53 86 3.8 72 75 2 55 73 3.9 80 69 3.8 86 51 3.8 75 75 4.3 73 56 3.7 69 57 1.9 51 85 3.8 75 66 2.9 56 83 3.1 57 90 4.6 85 45 2.5 66 84 4.6 83 57 4 90 42 1.8 45 88 4.5 84 70 1.9 57 71 Compute the least-squares line for predicting the duration of the dormant period following an eruption (y) from the duration of the eruption (xy). Is there a linear relationship between the duration of an eruption and the waiting time until the next eruption occurs? Check all that are true. Check All That Apply The fitted model is y-95.9115-7.3597x+ The fitted model is y-95.9120 +8.24x Yes, there is a linear relationship. No, there is no linear relationship.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 54E
Question
None
Required information
The following table lists values for three variables measured for 60 consecutive eruptions of the geyser Old Faithful in
Yellowstone National Park. They are the duration of the eruption (x), the duration of the dormant period immediately
before the eruption (x2), and the duration of the dormant period immediately after the eruption (y). All the times are in
minutes. Click here to download this data set.
x1
x2
y
x1
x2
y
x1
x2
y
x1
x2
y
3.5
80
84
1.8
42
91
4.7
88
51
4.1
70
79
4.1
84
50
4.1
91
51
1.8
51
80
3.7
79
60
2.3
50
1.8
51
79
4.6
80
49
3.8
60
86
4.7
3.2
79
53
1.9
49
82
3.4
86
1.7
55
76
1.9
53
82
3.5
75
4
71
67
4.9
58
4.6
82
51
4
75
73
2.3
67
81
1.7
58
74
2
51
76
3.7
73
67
4.4
81
76
4.6
4.5
76
82
3.7
67
68
4.1
76
83
3.4
75
80
3.9
82
84
4.3
68
86
4.3
83
76
4.3
56
4.3
84
53
3.6
86
72
3.3
76
55
1.7
56
80
2.3
53
86
3.8
72
75
55
73
3.9
80
69
3.8
86
51
3.8
75
75
4.3
73
56
3.7
69
57
1.9
51
85
3.8
75
66
2.9
56
83
3.1
57
90
4.6
85
45
2.5
84
4.6
83
57
4
90
1.8
45
88
4.5
84
70
1.9
57
71
Compute the least-squares line for predicting the duration of the dormant period following an eruption (y) from the duration of the eruption (x). Is there a linear relationship between the duration of an eruption and the waiting time until the next eruption occurs? Check all that are true.
Check All That Apply
The fitted model is y=95.9115-7.3597x
☐
The fitted model is y-95.9120+8.24x
Yes, there is a linear relationship.
No, there is no linear relationship.
Transcribed Image Text:Required information The following table lists values for three variables measured for 60 consecutive eruptions of the geyser Old Faithful in Yellowstone National Park. They are the duration of the eruption (x), the duration of the dormant period immediately before the eruption (x2), and the duration of the dormant period immediately after the eruption (y). All the times are in minutes. Click here to download this data set. x1 x2 y x1 x2 y x1 x2 y x1 x2 y 3.5 80 84 1.8 42 91 4.7 88 51 4.1 70 79 4.1 84 50 4.1 91 51 1.8 51 80 3.7 79 60 2.3 50 1.8 51 79 4.6 80 49 3.8 60 86 4.7 3.2 79 53 1.9 49 82 3.4 86 1.7 55 76 1.9 53 82 3.5 75 4 71 67 4.9 58 4.6 82 51 4 75 73 2.3 67 81 1.7 58 74 2 51 76 3.7 73 67 4.4 81 76 4.6 4.5 76 82 3.7 67 68 4.1 76 83 3.4 75 80 3.9 82 84 4.3 68 86 4.3 83 76 4.3 56 4.3 84 53 3.6 86 72 3.3 76 55 1.7 56 80 2.3 53 86 3.8 72 75 55 73 3.9 80 69 3.8 86 51 3.8 75 75 4.3 73 56 3.7 69 57 1.9 51 85 3.8 75 66 2.9 56 83 3.1 57 90 4.6 85 45 2.5 84 4.6 83 57 4 90 1.8 45 88 4.5 84 70 1.9 57 71 Compute the least-squares line for predicting the duration of the dormant period following an eruption (y) from the duration of the eruption (x). Is there a linear relationship between the duration of an eruption and the waiting time until the next eruption occurs? Check all that are true. Check All That Apply The fitted model is y=95.9115-7.3597x ☐ The fitted model is y-95.9120+8.24x Yes, there is a linear relationship. No, there is no linear relationship.
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