Let S(t) be the number of daylight hours on the 7th day of the year in Los Angleles. We are given the following data for S(t): Day January 7 March 14 May 3 July 18 t S(t) 7 10 73 12 13 14 123 199 We wish to fit a trigonometric function of the form f(1) = a + b sin ( 365 (3051) + c cos (2551) -t 365 to these data. Find the best approximation of this form, using least squares. f(t) =
Let S(t) be the number of daylight hours on the 7th day of the year in Los Angleles. We are given the following data for S(t): Day January 7 March 14 May 3 July 18 t S(t) 7 10 73 12 13 14 123 199 We wish to fit a trigonometric function of the form f(1) = a + b sin ( 365 (3051) + c cos (2551) -t 365 to these data. Find the best approximation of this form, using least squares. f(t) =
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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Transcribed Image Text:Let S(t) be the number of daylight hours on
the tth day of the year in Los Angleles. We are given the
following data for S(t):
Day
January 7
March 14
May 3
July 18
t S(t)
7
10
73 12
13
14
f(t) = a + b sin
123
199
We wish to fit a trigonometric function of the form
(365¹) + c cos (265¹)
со
to these data. Find the best approximation of this form,
using least squares.
f(t) =
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