1. Given a table of data a | 0|1|2 y 153 we want to find a linear function y = 0 +c1x that best fits the data in the least squares sense. (a) (3 points) Write down a linear system Ac = y for the vector c = of coefficients.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Given a table of data
x |0
1
1
5 3
we want to find a linear function
y = co +c1x
that best fits the data in the least squares sense.
(a) (3 points) Write down a linear system Ac = y for the vector c =
of coefficients.
C1
(b) (4 points) Find the best least squares fit by a linear function to the data by computing
the least squares solution of the linear system in part (a).
Transcribed Image Text:1. Given a table of data x |0 1 1 5 3 we want to find a linear function y = co +c1x that best fits the data in the least squares sense. (a) (3 points) Write down a linear system Ac = y for the vector c = of coefficients. C1 (b) (4 points) Find the best least squares fit by a linear function to the data by computing the least squares solution of the linear system in part (a).
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