The goal of this problem is to fit a trigonometric function of the form f(t) = a sin(t) + b to the data points (0, -6). (,-7). (π,-6). (3, 3), using least squares.(a) The problem is equivalent to finding the least squares solution to the system Xc = y whereX=(b) Find the coefficients of the best fit by finding the least squares solution to the system in part (a)aand c = [a, b]b

Given, f(t)=asin(t)+b, to the data points 0, -6, π2, -7, π, -7, 3π2, 3.

Answered: The goal of this problem is to fit a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The goal of this problem is to fit a trigonometric function of the form f(t) = a sin(t) + b to the data points (0, -6). (,-7), (π, -6), (3, 3), using least squares (a) The problem is equivalent to finding the least squares solution to the system Xc = y where