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Fit a function g(x)=a1+a2x to the points tabled below using the Least Squares Method.

Fit a function g(x)=a1+a2x to the points tabled below using the Least Squares Method.

Advanced Engineering Mathematics
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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Fit a function g(x)=a1+a2x to the points tabled below using the Least Squares Method. Fill in the first table below with the coefficients of the linear system obtained by this method (note that the unknowns a1,…,a2 are already indicated). The system to be inserted must be the initial system obtained, before carrying out the pivoting or scaling steps. Then solve this linear system using the Partial Pivot Gauss Elimination Method and indicate the coefficients a1,…,a2 of the function g(x). Perform calculations with 4 decimal places and rounding. Use comma as separator for fractional values ​​(Ex: 3.145 instead of 3.145).

x: 1 1.8 2.6 3.4 f(x): 2.56 0 1.41 2.23 Sistema Linear: a1 a2 = a1 a2 = Coeficientes da função g(x) = a1 + a2x
Transcribed Image Text:x: 1 1.8 2.6 3.4 f(x): 2.56 0 1.41 2.23 Sistema Linear: a1 a2 = a1 a2 = Coeficientes da função g(x) = a1 + a2x
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