D. What can you say about any influential observations in the data? Justify your answer numerically.
D. What can you say about any influential observations in the data? Justify your answer numerically.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 4PPS
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Question
only need D from this I got a,b,c from another question
Transcribed Image Text:Test 1: Multiple Linear Regression. Given the following data:
y
x1
X2
X3
X₁
X5
x6
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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