7.53 When gasoline is pumped into the tank of a car, vapors are vented into the atmosphere. An experiment was conducted to determine whether y, the amount of vapor, can be predicted using the following four variables based on initial conditions of the tank and the dispensed gasoline: x₁ = tank temperature (°F) X2 gasoline temperature (°F) = x3 = vapor pressure in tank (psi) X4 = vapor pressure of gasoline (psi) The data are given in Table 7.3 (Weisberg 1985, p. 138). (a) Find and s². (b) Find an estimate of cov(p).
7.53 When gasoline is pumped into the tank of a car, vapors are vented into the atmosphere. An experiment was conducted to determine whether y, the amount of vapor, can be predicted using the following four variables based on initial conditions of the tank and the dispensed gasoline: x₁ = tank temperature (°F) X2 gasoline temperature (°F) = x3 = vapor pressure in tank (psi) X4 = vapor pressure of gasoline (psi) The data are given in Table 7.3 (Weisberg 1985, p. 138). (a) Find and s². (b) Find an estimate of cov(p).
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Transcribed Image Text:7.53 When gasoline is pumped into the tank of a car, vapors are vented into the
atmosphere. An experiment was conducted to determine whether y, the
amount of vapor, can be predicted using the following four variables based
on initial conditions of the tank and the dispensed gasoline:
x₁ = tank temperature (°F)
x2 = gasoline temperature (°F)
x3 = vapor pressure in tank (psi)
X4 = vapor pressure of gasoline (psi)
The data are given in Table 7.3 (Weisberg 1985, p. 138).
(a) Find B and s2².
(b) Find an estimate of cov(B).
Transcribed Image Text:TABLE 7.3 Gas Vapor Data
y
29
24
26
22
27
21
33
34
32
34
20
36
34
23
24
32
X1
33
31
33
37
36
35
59
60
59
60
34
60
60
60
62
62
X2
53
36
51
51
54
35
56
60
60
60
35
59
62
36
38
61
X3
3.32
3.10
3.18
3.39
3.20
3.03
4.78
4.72
4.60
4.53
2.90
4.40
4.31
4.27
4.41
4.39
X4
3.42
3.26
3.18
3.08
3.41
3.03
4.57
4.72
4.41
4.53
2.95
4.36
4.42
3.94
3.49
4.39
y
40
46
55
52
29
22
31
45
37
37
33
27
34
19
16
22
X₁
90
90
92
91
61
59
88
91
63
60
60
59
59
37
35
37
X2
64
60
92
92
62
42
65
89
62
61
62
62
62
35
35
37
X3
7.32
7.32
7.45
7.27
3.91
3.75
6.48
6.70
4.30
4.02
4.02
3.98
4.39
2.75
2.59
2.73
X4
6.70
7.20
7.45
7.26
4.08
3.45
5.80
6.60
4.30
4.10
3.89
4.02
4.53
2.64
2.59
2.59
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