6.14 Table 6.1 (Weisberg 1985, p. 231) gives the data on daytime eruptions of Old Faithful Geyser in Yellowstone National Park during August 1-4, 1978. The variables are x = duration of an eruption and y = interval to the next eruption. Can x be used to successfully predict y using a simple linear model Yi = Bo + B₁x₁ + εi? (a) Find 3 and 3₁. (b) Test Ho: B₁ = 0 using (6.14). (c) Find a confidence interval for B₁. (d) Find ² using (6.16).
6.14 Table 6.1 (Weisberg 1985, p. 231) gives the data on daytime eruptions of Old Faithful Geyser in Yellowstone National Park during August 1-4, 1978. The variables are x = duration of an eruption and y = interval to the next eruption. Can x be used to successfully predict y using a simple linear model Yi = Bo + B₁x₁ + εi? (a) Find 3 and 3₁. (b) Test Ho: B₁ = 0 using (6.14). (c) Find a confidence interval for B₁. (d) Find ² using (6.16).
MATLAB: An Introduction with Applications
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Transcribed Image Text:6.14 Table 6.1 (Weisberg 1985, p. 231) gives the data on daytime eruptions of Old
Faithful Geyser in Yellowstone National Park during August 1-4, 1978. The
variables are x = duration of an eruption and y = interval to the next eruption.
Can x be used to successfully predict y using a simple linear model
Yi Bo + B₁x + ε;?
(a) Find B and B₁.
(b) Test Ho: B₁ = 0 using (6.14).
(c) Find a confidence interval for B₁.
(d) Find ² using (6.16).
Transcribed Image Text:TABLE 6.1 Eruptions of Old Faithful Geyser, August 1-4, 1978"
y
78
74
68
76
80
84
50
93
55
76
58
74
75
X
4.4
3.9
4.0
4.0
3.5
4.1
2.3
4.7
1.7
4.9
1.7
4.6
3.4
-
y
80
56
80
69
57
90
42
91
51
79
53
82
51
-
X
4.3
1.7
3.9
3.7
3.1
4.0
1.8
4.1
1.8
3.2
1.9
4.6
2.0
"Where x = duration, y = interval (both in minutes).
y
76
82
84
53
86
51
85
45
88
51
80
49
82
-
X
4.5
3.9
4.3
2.3
3.8
1.9
4.6
1.8
4.7
1.8
4.6
1.9
3.5
-
y
75
73
67
68
86
72
75
75
66
84
70
79
60
86
X
4.0
3.7
3.7
4.3
3.6
3.8
3.8
3.8
2.5
4.5
4.1
3.7
3.8
3.4
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