Find (by hand and calculator) the least squares fit and RMSE error for the periodic models y = F3(t) = C₁ + C2 cos(2πt) + c3 sin(2πt),

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(a) Find (by hand and calculator) the least squares fit and RMSE error for the periodic models
y = F3(t) = C₁ + c₂ cos(2πt) + c3 sin(2πt),
y=.
F₁(t) = C₁ + c₂ cos(2πt) + c3 sin(2πt) + c4 cos(4πt),
for the data
t
0
1/6
2
1/3 0
1/2 -5
y
4
2/3 -1
5/6 3
Transcribed Image Text:(a) Find (by hand and calculator) the least squares fit and RMSE error for the periodic models y = F3(t) = C₁ + c₂ cos(2πt) + c3 sin(2πt), y=. F₁(t) = C₁ + c₂ cos(2πt) + c3 sin(2πt) + c4 cos(4πt), for the data t 0 1/6 2 1/3 0 1/2 -5 y 4 2/3 -1 5/6 3
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