The normal equations for a least-squares line y = Bo + B1x may %3| be written in the form nBo + B, Ex = Ey β Σx+ β Σ = Σεν (7) 15. Derive the normal equations (7) from the matrix form given in this section.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 50EQ
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The normal equations for a least-squares line y = Bo + Bix may
be written in the form
nBo + Bi Ix = Ev
Bo Ex + Bi I x? = Exy
(7)
15. Derive the normal equations (7) from the matrix form given
in this section.
Transcribed Image Text:The normal equations for a least-squares line y = Bo + Bix may be written in the form nBo + Bi Ix = Ev Bo Ex + Bi I x? = Exy (7) 15. Derive the normal equations (7) from the matrix form given in this section.
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