8. Consider the linear system Mv = y where 1 01 М— |1 1 1 1 v1 V = y = U2 6

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 31E
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8. Consider the linear system Mv = y where
[1 0
M =
у —
у —
1
(a) Compute MT M and MTy.
(b) Find the least squares solution of Mv = y.
(c) Find the least squares error.
(d) An experiment is performed which results in the data (0, 1), (1,2), (1,6). Find the least squares
straight line fit, y = a + bx, for this data.
Transcribed Image Text:8. Consider the linear system Mv = y where [1 0 M = у — у — 1 (a) Compute MT M and MTy. (b) Find the least squares solution of Mv = y. (c) Find the least squares error. (d) An experiment is performed which results in the data (0, 1), (1,2), (1,6). Find the least squares straight line fit, y = a + bx, for this data.
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