Given data for a least-squares problem, (x4,1)..... (Xn.Yn), the abbreviations Ex= E x· Ex² = E ×7. Ey= E n and Exy = E >xy, are important. The normal equations for a least-squares line y= Bn +B, x are shown below. Derive the1=1|=1|=1normal equations from the matrix form XB = y.nộo + P, Ex = EyP.Ex+ P, Ex? = Exy1 X.In the equation XB = y, X=and y =The normal equation from XB = y isYn

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Given data for a least-squares problem, (x, y4)..... (Kn.Yn). the abbreviations Ex= E x. E= E x7. £y= E y and Exy = E xy, are important. The normal equations for a least-squares line y = Po + B;x are shown below. Derive the =1 =1 normal equations from the matrix form XB = y. nộ, + B, Ex = Ey P.Ex+ Î, Ex² = Exy In the equation XB = y, X= . The normal equation from XB = y is

Given data for a least-squares problem, (x, y4)..... (Kn.Yn). the abbreviations Ex= E x. E= E x7. £y= E y and Exy = E xy, are important. The normal equations for a least-squares line y = Po + B;x are shown below. Derive the =1 =1 normal equations from the matrix form XB = y. nộ, + B, Ex = Ey P.Ex+ Î, Ex² = Exy In the equation XB = y, X= . The normal equation from XB = y is

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Given data for a least-squares problem, (x4,1)..... (Xn.Yn), the abbreviations Ex= E x· Ex² = E ×7. Ey= E n and Exy = E >
xy, are important. The normal equations for a least-squares line y= Bn +B, x are shown below. Derive the
1=1
|=1
|=1
normal equations from the matrix form XB = y.
nộo + P, Ex = Ey
P.Ex+ P, Ex? = Exy
1 X.
In the equation XB = y, X=
and y =
The normal equation from XB = y is
Yn

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