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: B₁ = 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). (e) 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). 184 MULTIPLE REGRESSION: ESTIMATION TABLE 7.5 Land Rent Data 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 X1 15.50 22.29 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 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 .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 7.54 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 .08 .24 .05 .72 .19 .10 .08 .09 .17 .13 .13 21 .10 .26 .43 .56 05
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: B₁ = 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). (e) 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). 184 MULTIPLE REGRESSION: ESTIMATION TABLE 7.5 Land Rent Data 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 X1 15.50 22.29 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 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 .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 7.54 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 .08 .24 .05 .72 .19 .10 .08 .09 .17 .13 .13 21 .10 .26 .43 .56 05
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![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).
(e) 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).
184
TABLE 7.5 Land Rent Data
y
18.38
20.00
11.50
25.00
52.50
82.50
25.00
30.67
12.00
61.25
MULTIPLE REGRESSION: ESTIMATION
60.00
57.50
31.00
60.00
72.50
60.33
49.75
Xy
15.50
22.29
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
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
7.54
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
(e) Find R² and R².
(d) In order to find the maximum yield for y₁, a second-order model is of
interest. Find and s² for the model y₁ =B₁ + B₁x₁ + B₂x₂ + B3x3+
B₁+B+B + B7x1x2 + B8X1 X3 + B9x2x3 + 8.
(e) Find R² and R for the second-order model.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb3963ff-d7bd-40ff-82ca-f7552015f1bb%2F26d5b245-a840-4a15-bb73-89265686dda3%2Fgaxtpcej_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.05/2 for each test and
also use a Bonferroni approach based on 105/6 (or compare the p value to
.05/3).
(e) 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).
184
TABLE 7.5 Land Rent Data
y
18.38
20.00
11.50
25.00
52.50
82.50
25.00
30.67
12.00
61.25
MULTIPLE REGRESSION: ESTIMATION
60.00
57.50
31.00
60.00
72.50
60.33
49.75
Xy
15.50
22.29
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
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
7.54
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
(e) Find R² and R².
(d) In order to find the maximum yield for y₁, a second-order model is of
interest. Find and s² for the model y₁ =B₁ + B₁x₁ + B₂x₂ + B3x3+
B₁+B+B + B7x1x2 + B8X1 X3 + B9x2x3 + 8.
(e) Find R² and R for the second-order model.
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