Unformatted text preview: j =1 å w2 jY j ) x j − x2
k ( xk − x2 ) 2 So by regrouping terms we have:
n1 æ n w
β1 = å i =1 ç 1 1i ÷ Yi + å j2=1 ç 2 2 j ÷ Y j
è n1 + n2 ø
è n1 + n2 ø ~
and may conclude that β 1 is a linear unbiased estimator of β 1 . Thus by the
Gauss-Markov Theorem, it follows that β must be more efficient than β .
1 1 6. (i) The regression yields:
νi = −311.83 + 26.84 di , i = 1,.., 45
slope: Each additional inch of diameter adds about 27 cu ft of lumber volume.
intercept: The negative intercept has no physical meaning. (In fact, 100 ft trees
cannot have diameters close to zero. So the true mean rela...
View Full Document
- Fall '08