Test 1: Multiple Linear Regression. Given the following data: y x1 X2 X3 X4 8.0 19.6 94.9 2.3 5.2 8.3 19.8 89.7 1.8 5.2 8.5 19.6 96.2 2.0 5.8 8.8 19.4 95.6 2.1 6.4 9.0 18.6 86.5 1.8 5.8 X5 29.6 32.4 31.0 32.4 28.6 x6 2.1 2.1 2.0 2.2 2.0
Test 1: Multiple Linear Regression. Given the following data: y x1 X2 X3 X4 8.0 19.6 94.9 2.3 5.2 8.3 19.8 89.7 1.8 5.2 8.5 19.6 96.2 2.0 5.8 8.8 19.4 95.6 2.1 6.4 9.0 18.6 86.5 1.8 5.8 X5 29.6 32.4 31.0 32.4 28.6 x6 2.1 2.1 2.0 2.2 2.0
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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please answer abc. thank you so much!
Transcribed Image Text:Test 1: Multiple Linear Regression. Given the following data:
y
x1
X2
X3
X4
X5
xX6
8.0
19.6
94.9
2.3
5.2
29.6
2.1
8.3
19.8
89.7
1.8
5.2
32.4
2.1
8.5
19.6
96.2
2.0
5.8
31.0
2.0
8.8
19.4
95.6
2.1
6.4
32.4
2.2
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
2.1
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
2.1
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
2.2
11.0
20.2
94.5
1.9
6.2
32.4
2.1
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
2.0
12.3
18.8
86.9
1.8
5.8
34.0
2.1
12.5
18.6
83.0
2.0
5.6
34.2
1.9
A. With x₁, x2, x5 and x6 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
Transcribed Image Text:Test the significance of ß₁ 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.
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