Consider the following responses and the associated values of the explanatory vari- ables: Response YX₁ X₂ Xs 1 5 -1 0 1 -1 -3 1 0 -4 0 1 -3 2 0 -1 3 5 1 4 1 -3 0 (X'X)-¹ to do 0 1 2 3 3 -2 Based on the conventional notations for the multiple regression model we have X'Y = [10, 14, 10,-3]', and 000 0 0 0 0 0 0 0 00 (g) Find a 95% prediction interval for a single response Y when z₁ = 1, ₂ = −3, 73 = -1, that is, a[1, 1, -3, -1]'. (h) State the differences between a 95% confidence interval and a 95% prediction interval.
Consider the following responses and the associated values of the explanatory vari- ables: Response YX₁ X₂ Xs 1 5 -1 0 1 -1 -3 1 0 -4 0 1 -3 2 0 -1 3 5 1 4 1 -3 0 (X'X)-¹ to do 0 1 2 3 3 -2 Based on the conventional notations for the multiple regression model we have X'Y = [10, 14, 10,-3]', and 000 0 0 0 0 0 0 0 00 (g) Find a 95% prediction interval for a single response Y when z₁ = 1, ₂ = −3, 73 = -1, that is, a[1, 1, -3, -1]'. (h) State the differences between a 95% confidence interval and a 95% prediction interval.
A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Question
![Consider the following responses and the associated values of the explanatory vari-
ables:
Response YX₁ X₂ Xs
1
1 -3 5 -1
0 -2
0
1
0
-1 -3
1
1
0
0
1 -3
-1
-1
1
2
3
4
5
6
7
2
3 2
3 3
(X'X)-¹=
to
Based on the conventional notations for the multiple regression model we have X'Y = [10, 14, 10, -3]',
and
0
0
5
0 0
0 0 0
0 00
00 0
(g) Find a 95% prediction interval for a single response Y when #₁ = 1, ₂ = −3, æg = −1,
that is, a= [1, 1, -3, -1]'.
(h) State the differences between a 95% confidence interval and a 95% prediction interval.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88ea2a71-9ac4-4e85-921f-8e0d04f36029%2F27bc5b19-cc29-4539-99b5-b29ea1d23391%2F2cw5d9e_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following responses and the associated values of the explanatory vari-
ables:
Response YX₁ X₂ Xs
1
1 -3 5 -1
0 -2
0
1
0
-1 -3
1
1
0
0
1 -3
-1
-1
1
2
3
4
5
6
7
2
3 2
3 3
(X'X)-¹=
to
Based on the conventional notations for the multiple regression model we have X'Y = [10, 14, 10, -3]',
and
0
0
5
0 0
0 0 0
0 00
00 0
(g) Find a 95% prediction interval for a single response Y when #₁ = 1, ₂ = −3, æg = −1,
that is, a= [1, 1, -3, -1]'.
(h) State the differences between a 95% confidence interval and a 95% prediction interval.
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VIEWStep 3: Determine the 95% prediction interval for single response Y when ?1 =1 , ?2=− 3 and x3=-1.
VIEWStep 4: State the differences between a 95% confidence interval and a 95% prediction interval.
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