1. E(Y,X, X2... X) (Y+Y2 +. + Yn) 2. E(IX,, X2, X) =E Y2+ + Yp) + -B(X, +X +

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter9: Solving Quadratic Functions
Section: Chapter Questions
Problem 4CA
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Show that B is conditionally unbiased.
1. E(Y,X. X2 Xn) -
1
(Y,+ Y2-
+ Yn)
|(X1, X2. Xn)
2. E(BIX,, X2,. Xn) = E
1
1
(AX;+u)
Click to select your answer(s).
Type here to search
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Transcribed Image Text:Show that B is conditionally unbiased. 1. E(Y,X. X2 Xn) - 1 (Y,+ Y2- + Yn) |(X1, X2. Xn) 2. E(BIX,, X2,. Xn) = E 1 1 (AX;+u) Click to select your answer(s). Type here to search %3D
ele)
Consider the regression model
Y; = BX; + u;
Where u, and X, satisfy the assumptions specified here. Let p denote an estimator of p that is constructed as ß=
where Y and X are the sample means of Y, and X, respectively.
Show that B is a linear function of Y,, Y2, Y
Show that B is conditionally unbiased.
1 E(Y,X,, X2.. X,) = ▼
1
„P(X, +X2+ + X,)
+ Y2 + + Yn)
(AX, + u)
2 E(BIX,. X2 X,) =E
|(X, X2.. Xn)
Click to select your answer(s).
W
DELL
P Type here to search
1/5
Transcribed Image Text:ele) Consider the regression model Y; = BX; + u; Where u, and X, satisfy the assumptions specified here. Let p denote an estimator of p that is constructed as ß= where Y and X are the sample means of Y, and X, respectively. Show that B is a linear function of Y,, Y2, Y Show that B is conditionally unbiased. 1 E(Y,X,, X2.. X,) = ▼ 1 „P(X, +X2+ + X,) + Y2 + + Yn) (AX, + u) 2 E(BIX,. X2 X,) =E |(X, X2.. Xn) Click to select your answer(s). W DELL P Type here to search 1/5
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