9.0 18.6 86.5 1.8 5.8 28.6 2.0 9.3 18.8 84.5 2.1 5.2 30.6 21 9.3 20.4 88.8 1.9 5.6 32.4 2.2 9.5 19.0 85.7 1.9 6.0 32.6 21 9.8 20.8 93.6 2.1 5.2 32.2 2.3 10.0 19.9 86.0 1.8 5.8 31.8 2.1 10.3 18.0 87.1 1.6 6.4 32.6 2.0 10.5 20.6 93.1 2.1 6.0 33.4 2.1 10.8 20.2 83.4 2.1 6.2 31.8 22 11.0 20.2 94.5 1.9 6.2 32.4 21 11.3 19.2 83.4 1.8 6.2 31.4 1.9 11.5 17.0 85.2 2.1 5.6 33.2 2.1 11.8 19.8 84.1 1.8 6.0 35.4 20 12.3 18.8 86.9 1.8 5.8 34.0 21 12.5 18.6 83.0 2.0 5.6 34.2 1.9 h x₁, x₂, X, and x, as regressors, fit a multiple linear regression model to the given data pose that the regressors are grouped as follows: p1 (B₂): X₂, X₁ Xs p2 (B₂): X₂, X₂, X6 e significance of B, at a = 0.05. n the model in (A), construct a normal probability plot of residuals (cumulative norm dard normal scores vs. residuals). What can you say from this plot? at can you say about any influential observations in the data? Justify your answer num

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
y
8.0
8.3
X₁
x₂
X₂
X5
19.6
94.9
5.2
29.6
19.8
89.7
5.2
32.4
8.5
19.6
96.2
5.8
31.0
8.8
19.4
95.6
6.4
32.4
2.2
9.0
18.6
86.5
5.8
28.6
2.0
9.3
18.8
84.5
5.2
30.6
2.1
9.3
20.4
88.8
5.6
32.4
2.2
9.5
19.0
85.7
6.0
32.6
21
9.8
20.8
93.6
5.2
32.2
2.3
10.0
19.9
86.0
5.8
31.8
2.1
10.3
18.0
87.1
6.4
32.6
2.0
10.5
20.6
93.1
6.0
33.4
2.1
10.8
20.2
83.4
6.2
31.8
2.2
11.0
20.2
94.5
6.2
32.4
2.1
11.3
19.2
83.4
6.2
31.4
1.9
11.5
17.0
85.2
5.6
33.2
2.1
11.8
19.8
84.1
6.0
35.4
2.0
12.3
18.8
86.9
5.8
34.0
2.1
12.5
18.6
83.0
5.6
34.2
1.9
A. With x₁, x₂, X5 and x, as regressors, fit a multiple linear regression model to the given data.
B. Suppose that the regressors are grouped as follows:
-Group 1 (B₁): X₁, X4 X5
-Group 2 (B₂): X₂, X3, X6
Test the significance of B₁ at a = 0.05.
C. From the model in (A), construct a normal probability plot of residuals (cumulative normal probability
or standard normal scores vs. residuals). What can you say from this plot?
D. What can you say about any influential observations in the data? Justify your answer numerically.
00 00
min
00
X3
00
00000000-00066-00-800 ww
NENN
2.3
1.8.
2.0
2.1
1.8
2.1
1.9
1.9
cil
2.1
1.8
1.6
NNAENEAN
2.1
2.1
1.9
1.8
2.1
1.8.
1.8
2.0
4228
026
222
LENNO
INNGR00
2.1
2.1
2.0
Transcribed Image Text:y 8.0 8.3 X₁ x₂ X₂ X5 19.6 94.9 5.2 29.6 19.8 89.7 5.2 32.4 8.5 19.6 96.2 5.8 31.0 8.8 19.4 95.6 6.4 32.4 2.2 9.0 18.6 86.5 5.8 28.6 2.0 9.3 18.8 84.5 5.2 30.6 2.1 9.3 20.4 88.8 5.6 32.4 2.2 9.5 19.0 85.7 6.0 32.6 21 9.8 20.8 93.6 5.2 32.2 2.3 10.0 19.9 86.0 5.8 31.8 2.1 10.3 18.0 87.1 6.4 32.6 2.0 10.5 20.6 93.1 6.0 33.4 2.1 10.8 20.2 83.4 6.2 31.8 2.2 11.0 20.2 94.5 6.2 32.4 2.1 11.3 19.2 83.4 6.2 31.4 1.9 11.5 17.0 85.2 5.6 33.2 2.1 11.8 19.8 84.1 6.0 35.4 2.0 12.3 18.8 86.9 5.8 34.0 2.1 12.5 18.6 83.0 5.6 34.2 1.9 A. With x₁, x₂, X5 and x, as regressors, fit a multiple linear regression model to the given data. B. Suppose that the regressors are grouped as follows: -Group 1 (B₁): X₁, X4 X5 -Group 2 (B₂): X₂, X3, X6 Test the significance of B₁ at a = 0.05. C. From the model in (A), construct a normal probability plot of residuals (cumulative normal probability or standard normal scores vs. residuals). What can you say from this plot? D. What can you say about any influential observations in the data? Justify your answer numerically. 00 00 min 00 X3 00 00000000-00066-00-800 ww NENN 2.3 1.8. 2.0 2.1 1.8 2.1 1.9 1.9 cil 2.1 1.8 1.6 NNAENEAN 2.1 2.1 1.9 1.8 2.1 1.8. 1.8 2.0 4228 026 222 LENNO INNGR00 2.1 2.1 2.0
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