You have 3 points (1, 6), (2, 4), and (4, 3). Find the best function to fit these data from the following functions: (1) y = a₁ + a₁x (2) y = AeBx (3) y = A + B ² Hint: 1-Data Linearization Method V = a₁ + a₂U k Σ=1ui rk k [Σ14: _Σημε[@] = Σ=10; k ¹2i=1 U₁ V₁]
You have 3 points (1, 6), (2, 4), and (4, 3). Find the best function to fit these data from the following functions: (1) y = a₁ + a₁x (2) y = AeBx (3) y = A + B ² Hint: 1-Data Linearization Method V = a₁ + a₂U k Σ=1ui rk k [Σ14: _Σημε[@] = Σ=10; k ¹2i=1 U₁ V₁]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Curve Fitting
![You have 3 points (1, 6), (2, 4), and (4, 3). Find the best function to fit these data from the following
functions:
(1) y = a₁ + a₁x
(2) y = Ae Bx
(3) y = A + B ¹²
Hint:
1-Data Linearization Method
V = a₁ + a₁U
Σ=10i
[Σk ² = 1 Ui vi]
Root mean-square error function
Root mean-square error function e(f) is defined by:
€ (ƒ) = [ Σ*²=₁[Y(x^,) — y₁]²] ¹/²
Σ=1ui
k
k
[ Σ ² = ₁ U₂₁ [²²_₁ U ₁ ² ]
[]
B. Power Fit Method
a =
=
Li=1
Σ1 xi¹¹ yi
Σ=1x;2n](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F643f2feb-fa19-4157-a3be-580a500ded88%2F50be31aa-e3e8-4d5d-8393-1cc40ff02be7%2Fhypjy9j_processed.png&w=3840&q=75)
Transcribed Image Text:You have 3 points (1, 6), (2, 4), and (4, 3). Find the best function to fit these data from the following
functions:
(1) y = a₁ + a₁x
(2) y = Ae Bx
(3) y = A + B ¹²
Hint:
1-Data Linearization Method
V = a₁ + a₁U
Σ=10i
[Σk ² = 1 Ui vi]
Root mean-square error function
Root mean-square error function e(f) is defined by:
€ (ƒ) = [ Σ*²=₁[Y(x^,) — y₁]²] ¹/²
Σ=1ui
k
k
[ Σ ² = ₁ U₂₁ [²²_₁ U ₁ ² ]
[]
B. Power Fit Method
a =
=
Li=1
Σ1 xi¹¹ yi
Σ=1x;2n
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