The goal of this problem is to fit a trigonometric function of the form f(t) = co+c₁ cos(t) to the data points (0, 10.5), (,0.5), (, -7.5), (3, 0.5), using least squares. (a) The problem is equivalent to finding the least squares solution to the system Xc = y where X = (b) Find the coefficients of the best fit by finding the least squares solution to the system in part (a) Co = C₁ = and c = [C₁, C₂]T e

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
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The goal of this problem is to fit a trigonometric function of the form f(t) = co+c₁ cos (t) to the data points (0, 10.5), (,0.5), (, -7.5), (3, 0.5), using least squares.
(a) The problem is equivalent to finding the least squares solution to the system Xc = y where
X =
(b) Find the coefficients of the best fit by finding the least squares solution to the system in part (a)
Co =
C₁ =
and c = [C₁, C₂]T
e
Transcribed Image Text:The goal of this problem is to fit a trigonometric function of the form f(t) = co+c₁ cos (t) to the data points (0, 10.5), (,0.5), (, -7.5), (3, 0.5), using least squares. (a) The problem is equivalent to finding the least squares solution to the system Xc = y where X = (b) Find the coefficients of the best fit by finding the least squares solution to the system in part (a) Co = C₁ = and c = [C₁, C₂]T e
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