From the sample data above, perform the following steps. d. At a 5% significance level, test the regression's significance. Calculate the P-value of this test. What conclusions are you possible to attain?

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6th Edition
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Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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i
х1
x2
x3
x4
x5
x6
bond
bond
pull
strength
loop
height
post
wire
observation
die height
width on
width on
height
length
the die
the post
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
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
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.
d. At a 5% significance level, test the regression's significance. Calculate the P-value of this test. What
conclusions are you possible to attain?
e. For each regression coefficient, compute the t-test statistic. What conclusions can you draw at a 5%
significance level? Do all of the variables play a factor in the model?
f. Calculate the regression coefficients' 95% confidence interval.
Transcribed Image Text:i х1 x2 x3 x4 x5 x6 bond bond pull strength loop height post wire observation die height width on width on height length the die the post 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 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 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. d. At a 5% significance level, test the regression's significance. Calculate the P-value of this test. What conclusions are you possible to attain? e. For each regression coefficient, compute the t-test statistic. What conclusions can you draw at a 5% significance level? Do all of the variables play a factor in the model? f. Calculate the regression coefficients' 95% confidence interval.
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