6.27. In a small-scale regression study, the following data were obtained: i: 1 2 3 4 5 21 8 4 41 16 3 X12: 5 31 55 33 7 75 49 42 33 28 91 Assume that regression model (6.1) with independent normal error terms is appropriate. Using matrix methods, obtain (a) b; (b) e; (c) H; (d) SSR; (e) s² {b}; (f ) Î, when Xp1 = 10, Xp2 = 30; (g) s²{În) when Xµ1 = 10, Xµ2 = 30.

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6.27. In a small-scale regression study, the following data were obtained:
i:
2
3
4
5
6
Xn:
X12:
Y;:
7
4
16
3
21
8
41
33
33
7
49
5
31
42
75
28
91
55
Assume that regression model (6.1) with independent normal error terms is appropriate. Using
matrix methods, obtain (a) b; (b) e; (c) H; (d) SSR; (e) s² {b}; (f ) Ýn when Xp1 = 10, X42 = 30;
(g) s²{Ýn} when Xµ1 = 10, Xp2 = 30.
Transcribed Image Text:6.27. In a small-scale regression study, the following data were obtained: i: 2 3 4 5 6 Xn: X12: Y;: 7 4 16 3 21 8 41 33 33 7 49 5 31 42 75 28 91 55 Assume that regression model (6.1) with independent normal error terms is appropriate. Using matrix methods, obtain (a) b; (b) e; (c) H; (d) SSR; (e) s² {b}; (f ) Ýn when Xp1 = 10, X42 = 30; (g) s²{Ýn} when Xµ1 = 10, Xp2 = 30.
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