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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?
Callie's grandmother pledged $0.50 for each mile Callie walked in her walk-a-thon. Callie walked 9 miles. How much does her grandmother owe? Multiply the number of miles (9) th
1. A point P(a,b) becomes (3,c) after reflection in x - axis, and (d,6) after reflection in the origin. Show that a = 3, b = - 6, c = 6, d = 2 2. If the pair of lines ax² + 2pxy
1/a+b+x =1/a+1/b+1/x a+b ≠ 0 Ans: 1/a+b+x =1/a+1/b+1/x => 1/a+b+x -1/x = +1/a +1/b ⇒ x - ( a + b + x )/ x ( a + b + x ) = + a + b/ ab ⇒
Q. a(b - c)x^2 + b(c - a)x + c(a - b) = 0 has equal roots then b = ? Ans: Condition that a quadratic equation ax² + bx + c = 0 has equal roots is: Its discriminant, b² - 4ac = 0 A
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i need help with exponents and how to add them
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what is share and dividend?
Two people are 50 feet separately. One of them begin walking north at rate so that the angle illustrated in the diagram below is changing at constant rate of 0.01 rad/min. At what
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