Find the least squares polynomial of degree one for the data in the following table. Then write the matrix least squares problem and its solution in the matrix form(do not evaluate) to fit the data with a function of the form f (x) ao + a1x + a3 sin x + a4 cos x. 0.2 0.3 0.6 0.9 1.1 1.3 Yi 0.050446 | 0.098426 0.33277 0.72660 1.0972 1.5697

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 70EQ
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Find the least squares polynomial of degree one for the data in the following table.
Then write the matrix least squares problem and its solution in the matrix form(do not evaluate)
to fit the data with a function of the form f(x) = ao + a1x + az sin x + ɑ4 cos x.
X; |0.2
0.3
0.6
0.9
1.1
1.3
Yi
0.050446| 0.098426 0.33277
0.72660
1.0972
1.5697
Transcribed Image Text:Find the least squares polynomial of degree one for the data in the following table. Then write the matrix least squares problem and its solution in the matrix form(do not evaluate) to fit the data with a function of the form f(x) = ao + a1x + az sin x + ɑ4 cos x. X; |0.2 0.3 0.6 0.9 1.1 1.3 Yi 0.050446| 0.098426 0.33277 0.72660 1.0972 1.5697
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