8.38 Use the land rent data in Table 7.5. (a) Test the overall regression hypothesis Ho: B₁ = 0 using (8.5) [or (8.22)] and (8.23). (b) Test Ho: B;= 0 for j = 1, 2, 3 using t; in (8.40). Use t.05/2 for each test and also use a Bonferroni approach based on 105/6 (or compare the p value to .05/3). (c) Find confidence intervals for B₁, B₂, B3 using both (8.47) and (8.67). (d) Using (8.52), find a 95% confidence interval for E(yo) = xß, where x = (1,15,30,.5).
8.38 Use the land rent data in Table 7.5. (a) Test the overall regression hypothesis Ho: B₁ = 0 using (8.5) [or (8.22)] and (8.23). (b) Test Ho: B;= 0 for j = 1, 2, 3 using t; in (8.40). Use t.05/2 for each test and also use a Bonferroni approach based on 105/6 (or compare the p value to .05/3). (c) Find confidence intervals for B₁, B₂, B3 using both (8.47) and (8.67). (d) Using (8.52), find a 95% confidence interval for E(yo) = xß, where x = (1,15,30,.5).
MATLAB: An Introduction with Applications
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![8.38 Use the land rent data in Table 7.5.
(a) Test the overall regression hypothesis Ho B₁ = 0 using (8.5) [or (8.22)]
and (8.23).
(b) Test Ho: B; = 0 for j = 1, 2, 3 using t; in (8.40). Use t.os/2 for each test and
also use a Bonferroni approach based on 1.05/6 (or compare the p value to
.05/3).
(c) Find confidence intervals for B₁, B₂, B3 using both (8.47) and (8.67).
(d) Using (8.52), find a 95% confidence interval for E(yo) = xß, where
x = (1,15,30,.5).
PROBLEMS 225
(e) Using (8.61), find a 95% prediction interval for yo = x + e, where
x = (1,15,30,.5).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb3963ff-d7bd-40ff-82ca-f7552015f1bb%2F037c42b8-fd57-4bfd-9a86-e044de93f095%2Fzjdypzm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8.38 Use the land rent data in Table 7.5.
(a) Test the overall regression hypothesis Ho B₁ = 0 using (8.5) [or (8.22)]
and (8.23).
(b) Test Ho: B; = 0 for j = 1, 2, 3 using t; in (8.40). Use t.os/2 for each test and
also use a Bonferroni approach based on 1.05/6 (or compare the p value to
.05/3).
(c) Find confidence intervals for B₁, B₂, B3 using both (8.47) and (8.67).
(d) Using (8.52), find a 95% confidence interval for E(yo) = xß, where
x = (1,15,30,.5).
PROBLEMS 225
(e) Using (8.61), find a 95% prediction interval for yo = x + e, where
x = (1,15,30,.5).
Transcribed Image Text:TABLE 7.5 Land Rent Data
X1
15.50
22.29
y
18.38
20.00
11.50
25.00
52.50
82.50
25.00
30.67
12.00
61.25
60.00
57.50
31.00
60.00
72.50
60.33
49.75
12.36
31.84
83.90
72.25
27.14
40.41
12.42
69.42
48.46
69.00
26.09
62.83
77.06
58.83
59.48
x2
17.25
18.51
11.13
5.54
5.44
20.37
31.20
4.29
8.69
6.63
27.40
31.23
28.50
29.98
13.59
45.46
35.90
X3
.24
.20
.12
.12
.04
.05
.27
.10
.41
.04
.12
.08
.21
.17
.05
.16
.32
y
8.50
36.50
60.00
16.25
50.00
11.50
35.00
75.00
31.56
48.50
77.50
21.67
19.75
56.00
25.00
40.00
56.67
X1
9.00
20.64
81.40
18.92
50.32
21.33
46.85
65.94
38.68
51.19
59.42
24.64
26.94
46.20
26.86
20.00
62.52
X2
8.89
23.81
4.54
29.62
21.36
1.53
5.42
22.10
14.55
7.59
49.86
11.46
2.48
31.62
53.73
40.18
15.89
X3
.08
.24
.05
.72
.19
.10
.08
.09
.17
.13
.13
.21
.10
.26
43
.56
.05
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