Show that the unbiased estimate of the model parameters are given by

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 26E
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Consider a linear regression model
y = Bo + B1x
with N data points D = {Xi, yi}, i= 1, 2, 3, ..., N
Show that the unbiased estimate of the model parameters are given by
E) (E) – (E) E
NE - (E .)"
Bo
(E-.) (EM, ».) – N (E, )
(E)* - N (E,)
vi=1 *i
vi=1 Yi
B1
Transcribed Image Text:Consider a linear regression model y = Bo + B1x with N data points D = {Xi, yi}, i= 1, 2, 3, ..., N Show that the unbiased estimate of the model parameters are given by E) (E) – (E) E NE - (E .)" Bo (E-.) (EM, ».) – N (E, ) (E)* - N (E,) vi=1 *i vi=1 Yi B1
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