3.37 Use the gas vapor data in Table 7.3. (a) Test the overall regression hypothesis Ho B₁ = 0 using (8.5) [or (8.22)] and (8.23). (b) Test Ho: B₁ = B3 = 0, that is, that x₁ and x3 do not significantly contrib- ute above and beyond x₂ and x4. (c) Test Ho: B=0 for j = 1, 2, 3, 4 using t, in (8.40). Use tos/2 for each test and also use a Bonferroni approach based on 105/8 (or compare the p value to .05/4). (d) Using general linear hypothesis tests, test Ho: B₁ B₂ = 12ß3 = 1284, Hol: B1 B2, H02: B₂=12B3, H03: B3 B4, and Hos: B₁-B₂ and 33 =B4. (e) Find confidence intervals for B₁, B₂, B3 and 34 using both (8.47) and (8.67).
3.37 Use the gas vapor data in Table 7.3. (a) Test the overall regression hypothesis Ho B₁ = 0 using (8.5) [or (8.22)] and (8.23). (b) Test Ho: B₁ = B3 = 0, that is, that x₁ and x3 do not significantly contrib- ute above and beyond x₂ and x4. (c) Test Ho: B=0 for j = 1, 2, 3, 4 using t, in (8.40). Use tos/2 for each test and also use a Bonferroni approach based on 105/8 (or compare the p value to .05/4). (d) Using general linear hypothesis tests, test Ho: B₁ B₂ = 12ß3 = 1284, Hol: B1 B2, H02: B₂=12B3, H03: B3 B4, and Hos: B₁-B₂ and 33 =B4. (e) Find confidence intervals for B₁, B₂, B3 and 34 using both (8.47) and (8.67).
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 3ECP: Estimate the age of a newly discovered fossil for which the ratio of carbon-14 to carbon-12 is...
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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
![8.37 Use the gas vapor data in Table 7.3.
(a) Test the overall regression hypothesis Ho B₁ = 0 using (8.5) [or (8.22)]
and (8.23).
(b) Test Ho: B₁ = B3 = 0, that is, that x₁ and x3 do not significantly contrib-
ute above and beyond x₂ and x4.
(c) Test Ho: B; = 0 for j = 1, 2, 3, 4 using t; in (8.40). Use 1,05/2 for each test
and also use a Bonferroni approach based on 105/8 (or compare the p value
to .05/4).
(d) Using general linear hypothesis tests, test Ho: B₁ B₂ = 12B3 = 12B4,
H01: B₁ B2, H02: B₂=12B3, H03: B3 B4, and H04: B₁-B₂ and B3 =B4.
(e) Find confidence intervals for B₁, B₂, B3 and 34 using both (8.47) and (8.67).
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb3963ff-d7bd-40ff-82ca-f7552015f1bb%2Fabde55f1-83e3-4349-b5f2-a843250ea027%2Fhqaelc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8.37 Use the gas vapor data in Table 7.3.
(a) Test the overall regression hypothesis Ho B₁ = 0 using (8.5) [or (8.22)]
and (8.23).
(b) Test Ho: B₁ = B3 = 0, that is, that x₁ and x3 do not significantly contrib-
ute above and beyond x₂ and x4.
(c) Test Ho: B; = 0 for j = 1, 2, 3, 4 using t; in (8.40). Use 1,05/2 for each test
and also use a Bonferroni approach based on 105/8 (or compare the p value
to .05/4).
(d) Using general linear hypothesis tests, test Ho: B₁ B₂ = 12B3 = 12B4,
H01: B₁ B2, H02: B₂=12B3, H03: B3 B4, and H04: B₁-B₂ and B3 =B4.
(e) Find confidence intervals for B₁, B₂, B3 and 34 using both (8.47) and (8.67).
-
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