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...


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

Extracted 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.

Jun 10, 2022
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