Show that B is a linear function of Y,, Y2. Yn Show that B is conditionally unbiased.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Consider the regression model
Y = BX; + uj
Where u, and X, satisfy the assumptions specified here. Let B denote an estimator of B that is constructed as B
Y
where Y and X are the sample means of Y, and X, respectively.
Show that B is a linear function of Y,, Y2,, Yn
1
Show that B is conditionally unbiased.
B(Y, + Y2 + + Y)
1. E(YX,. X, X,)
„P(X, + X2+ + X,)
(Y+ Y2
+ Yn)
1
2. E(BIX,, X2.- Xx) =E
|(X,, X2.-- Xn)
(AX; + u)
Click to select your answer(s).
DELL
P Type here to search
Transcribed Image Text:Consider the regression model Y = BX; + uj Where u, and X, satisfy the assumptions specified here. Let B denote an estimator of B that is constructed as B Y where Y and X are the sample means of Y, and X, respectively. Show that B is a linear function of Y,, Y2,, Yn 1 Show that B is conditionally unbiased. B(Y, + Y2 + + Y) 1. E(YX,. X, X,) „P(X, + X2+ + X,) (Y+ Y2 + Yn) 1 2. E(BIX,, X2.- Xx) =E |(X,, X2.-- Xn) (AX; + u) Click to select your answer(s). DELL P Type here to search
Show that B is a linear function of Y,, Y2,. Yn
Show that B is conditionally unbiased.
1. E
1 E(Y,X, X2.. Xn)
%3D
(Y, + Y,
+Y,
n)
2. E(BIX,, X2., ) = E
X,) =
Jiex,
|(Xr, X2, Xx)
+Y2+...+ Yp)
1
+.
Click to select your answer(s).
Type here to search
Transcribed Image Text:Show that B is a linear function of Y,, Y2,. Yn Show that B is conditionally unbiased. 1. E 1 E(Y,X, X2.. Xn) %3D (Y, + Y, +Y, n) 2. E(BIX,, X2., ) = E X,) = Jiex, |(Xr, X2, Xx) +Y2+...+ Yp) 1 +. Click to select your answer(s). Type here to search
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