a small scale regression study, the following data were obtained: Y X1 X2 42 7 33 33 4 41 75 16 7 28 3 49 91 21 55 8 31 For X1 = 8, X2 = 25, compute 95% confidence interval for e mean response and the prediction interval. Additionally, compute simultaneous 95% confidence s for regression coefficients using Bonferroni and exact (ellipsoid) method. Can we conclude that e regression coefficients are significant using these confidence sets?

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In a small scale regression study, the following data were obtained:
Y X1 X2
42
7
33
33
4
41
75
16
28
49
91
21
5
55
8
31
For X1 = 8, X2 = 25, compute 95% confidence interval for
the mean response and the prediction interval. Additionally, compute simultaneous 95% confidence
sets for regression coefficients using Bonferroni and exact (ellipsoid) method. Can we conclude that
the regression coefficients are significant using these confidence sets?
Transcribed Image Text:In a small scale regression study, the following data were obtained: Y X1 X2 42 7 33 33 4 41 75 16 28 49 91 21 5 55 8 31 For X1 = 8, X2 = 25, compute 95% confidence interval for the mean response and the prediction interval. Additionally, compute simultaneous 95% confidence sets for regression coefficients using Bonferroni and exact (ellipsoid) method. Can we conclude that the regression coefficients are significant using these confidence sets?
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