Say we have a model Y = Bo+ BiXr+ɛ %3D And the estimated equation is? = B, + B,X1. How do we define a residual in terms of these models? How does the method of Ordinary Least Squares arrive at the values for the beta hats (the estimated coefficients)? What is the meaning of Rbar?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 29EQ
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A3
Say we have a model Y Bo+BiXi+8
And the estimated equation isY = Bo + B,X1.
%3D
How do we define a residual in terms of these models?
How does the method of Ordinary Least Squares arrive at the values for the beta
hats (the estimated coefficients)?
What is the meaning of Rbar?
Transcribed Image Text:Say we have a model Y Bo+BiXi+8 And the estimated equation isY = Bo + B,X1. %3D How do we define a residual in terms of these models? How does the method of Ordinary Least Squares arrive at the values for the beta hats (the estimated coefficients)? What is the meaning of Rbar?
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