y x1 x2 x3 x4 x5 x6 bond bond pull strength post height loop height wire observation die height width on width on length the die the post 1 8.0 5.2 17.0 28.6 83.0 1.9 1.6 8.0 5.2 19.6 29.6 94.9 2.1 2.3 3 8.3 5.8 19.8 32.4 89.7 2.1 1.8 4 8.5 6.4 19.6 31.0 96.2 2.0 2.0 5 8.8 5.8 19.4 32.4 95.6 2.2 2.1 9.0 5.2 18.6 28.6 86.5 2.0 1.8 7 9.3 5.6 18.8 30.6 84.5 2.1 2.1 8 9.3 6.0 20.4 32.4 88.8 2.2 1.9 9.5 5.2 19.0 32.6 85.7 2.1 1.9 10 9.8 5.8 20.8 32.2 93.6 2.3 2.1 11 10.0 6.4 19.9 31.8 86.0 2.1 1.8 12 10.3 6.0 18.0 32.6 87.1 2.0 1.6 13 10.5 6.2 20.6 33.4 93.1 2.1 2.1 14 10.8 6.2 20.2 31.8 83.4 2.2 2.1 15 11.0 6.2 20.2 32.4 94.5 2.1 1.9 16 11.3 5.6 19.2 31.4 83.4 1.9 1.8 17 11.5 6.0 17.0 33.2 85.2 2.1 2.1 18 11.8 5.8 19.8 35.4 84.1 2.0 1.8 19 12.0 6.5 19.4 32.2 88.5 2.1 1.9 20 12.3 5.6 18.8 34.0 86.9 2.1 1.8 21 12.5 18.6 18.6 34.2 83.0 1.9 2.0 22 12.5 18.6 20.8 35.4 96.2 2.3 2.3 TAKE NOTE: You must use R-studio and JASP. From the sample data above, perform the following steps. g. Use stepwise regression with a significance level of 0.25 for the input and 0.05 for the removal. Provide your final model. h. Calculate R2, Cp, s2, and adjusted R2 for all possible regression models. i. Provide your final model. j. Plot studentized residuals and make a comment for the model in (i). Please write a brief summary of the findings

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
i
y
x1
x2
x3
x4
x5
х6
bond
width on
bond
pull
strength
post
height
loop
height
wire
observation
die height
width on
length
the die
the post
1
8.0
5.2
17.0
28.6
83.0
1.9
1.6
2
8.0
5.2
19.6
29.6
94.9
2.1
2.3
8.3
5.8
19.8
32.4
89.7
2.1
1.8
4.
8.5
6.4
19.6
31.0
96.2
2.0
2.0
8.8
5.8
19.4
32.4
95.6
2.2
2.1
6.
9.0
5.2
18.6
28.6
86.5
2.0
1.8
7
9.3
5.6
18.8
30.6
84.5
2.1
2.1
8
9.3
6.0
20.4
32.4
88.8
2.2
1.9
9
9.5
5.2
19.0
32.6
85.7
2.1
1.9
10
9.8
5.8
20.8
32.2
93.6
2.3
2.1
11
10.0
6.4
19.9
31.8
86.0
2.1
1.8
12
10.3
6.0
18.0
32.6
87.1
2.0
1.6
13
10.5
6.2
20.6
33.4
93.1
2.1
2.1
14
10.8
6.2
20.2
31.8
83.4
2.2
2.1
15
11.0
6.2
20.2
32.4
94.5
2.1
1.9
16
11.3
5.6
19.2
31.4
83.4
1.9
1.8
17
11.5
6.0
17.0
33.2
85.2
2.1
2.1
18
11.8
5.8
19.8
35.4
84.1
2.0
1.8
19
12.0
6.5
19.4
32.2
88.5
2.1
1.9
20
12.3
5.6
18.8
34.0
86.9
2.1
1.8
21
12.5
18.6
18.6
34.2
83.0
1.9
2.0
22
12.5
18.6
20.8
35.4
96.2
2.3
2.3
TAKE NOTE: You must use R-studio and JASP.
From the sample data above, perform the following steps.
g. Use stepwise regression with a significance level of 0.25 for the input and 0.05 for the
removal. Provide your final model.
h. Calculate R2, Cp, s2, and adjusted R2 for all possible regression models.
i. Provide your final model.
j. Plot studentized residuals and make a comment for the model in (i). Please write a brief
summary of the findings
Transcribed Image Text:i y x1 x2 x3 x4 x5 х6 bond width on bond pull strength post height loop height wire observation die height width on length the die the post 1 8.0 5.2 17.0 28.6 83.0 1.9 1.6 2 8.0 5.2 19.6 29.6 94.9 2.1 2.3 8.3 5.8 19.8 32.4 89.7 2.1 1.8 4. 8.5 6.4 19.6 31.0 96.2 2.0 2.0 8.8 5.8 19.4 32.4 95.6 2.2 2.1 6. 9.0 5.2 18.6 28.6 86.5 2.0 1.8 7 9.3 5.6 18.8 30.6 84.5 2.1 2.1 8 9.3 6.0 20.4 32.4 88.8 2.2 1.9 9 9.5 5.2 19.0 32.6 85.7 2.1 1.9 10 9.8 5.8 20.8 32.2 93.6 2.3 2.1 11 10.0 6.4 19.9 31.8 86.0 2.1 1.8 12 10.3 6.0 18.0 32.6 87.1 2.0 1.6 13 10.5 6.2 20.6 33.4 93.1 2.1 2.1 14 10.8 6.2 20.2 31.8 83.4 2.2 2.1 15 11.0 6.2 20.2 32.4 94.5 2.1 1.9 16 11.3 5.6 19.2 31.4 83.4 1.9 1.8 17 11.5 6.0 17.0 33.2 85.2 2.1 2.1 18 11.8 5.8 19.8 35.4 84.1 2.0 1.8 19 12.0 6.5 19.4 32.2 88.5 2.1 1.9 20 12.3 5.6 18.8 34.0 86.9 2.1 1.8 21 12.5 18.6 18.6 34.2 83.0 1.9 2.0 22 12.5 18.6 20.8 35.4 96.2 2.3 2.3 TAKE NOTE: You must use R-studio and JASP. From the sample data above, perform the following steps. g. Use stepwise regression with a significance level of 0.25 for the input and 0.05 for the removal. Provide your final model. h. Calculate R2, Cp, s2, and adjusted R2 for all possible regression models. i. Provide your final model. j. Plot studentized residuals and make a comment for the model in (i). Please write a brief summary of the findings
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