SOLN_3b

4 i as on p499 in devore 1 x y 1 x y n

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Unformatted text preview: n the other hand, 1 1 na æ1 2ö 2  E (a ) = E ç å i Wi ÷ = å i E (Wi ) = é nE (W 2 ) ù = ë û n n n èn ø  Þ E (a) = a  Þ a is an unbiased estimator of a (and it looks like the ‘A’ was well deserved). 4. (i) As on p.499 in Devore ˆ β1 = å x y − 1 ( å x )( å y ) n å x − 1 (å x ) n i i i i ˆ β0 = i i 2 2 i i = i i i 1 10334.5 − 20 (136)(1391) = 5.253 1 1091.5 − 20 (136)2 å i ˆ yi − β1 å i xi n = 1391 − (5.253)(136) = 33.829 20 ˆˆˆ (ii) y = β0 + β1 (4) = 33.829 + (5.253) 4 = 54.841 units ˆ (iii) Expected Change = β1 = 5.253 units ˆ (iv) x = ˆ y − β0 30 − 333.829 = = −.7288 feet ˆ 5.253...
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This homework help was uploaded on 02/16/2014 for the course ESE 302 taught by Professor Ese302 during the Fall '08 term at UPenn.

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