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
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
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
X=
(b) Find the coefficients of the best fit by finding the least squares solution to the system in part (a)
a
and c = [a, b]
b](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcede8746-e52f-4eaf-bfc2-0cf286297e7e%2Faa0b3e30-6bb9-496f-bec9-49ca66a0af35%2Fcw9n4wa_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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
X=
(b) Find the coefficients of the best fit by finding the least squares solution to the system in part (a)
a
and c = [a, b]
b
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