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Consider the regression model Yi = a + bXi + ui, where the Xi are non-stochastic and the ui are independently and identically distributed with E[ui] = 0 and var[ui] = s2.
(a) What estimator of b would you use if you did not know a? What is the variance of this estimator?
(b) What estimator of β would you use if you knew (i) a = 0, (ii) a = 1? What is the variance of each of these estimators of b?
(c) How do the magnitudes of the variances of the estimators of β in (a) and (b) compare? In particular, what happens if Σi=1,n Xi2 = 10, Σi=1,n Xi = 9, and n = 9?
L.H.S. =cos 12+cos 60+cos 84 =cos 12+(cos 84+cos 60) =cos 12+2.cos 72 . cos 12 =(1+2sin 18)cos 12 =(1+2.(√5 -1)/4)cos 12 =(1+.(√5 -1)/2)cos 12 =(√5 +1)/2.cos 12 R.H.S =c
a man in rested rupee 800 is buying rupee 5 shares and then are selling at premium of rupee 1.15. He sells all the shares.find profit
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