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Problem 8. The goal of this problem is to fit a quadratic function of the form f(x)=c₁2²+₂ to the data points (-3,-79), (-2,-15), (2,-19), (3,-85), using least squares. (a) The problem is equivalent to finding the least squares solution to the system Xcy where X= and c = [₁,₂] (b) Find the coefficients of the best fit by finding the least squares solution to the system in part (a) C1= C₂=

Problem 8. The goal of this problem is to fit a quadratic function of the form f(x)=c₁2²+₂ to the data points (-3,-79), (-2,-15), (2,-19), (3,-85), using least squares. (a) The problem is equivalent to finding the least squares solution to the system Xcy where X= and c = [₁,₂] (b) Find the coefficients of the best fit by finding the least squares solution to the system in part (a) C1= C₂=

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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Problem 8. The goal of this problem is to fit a quadratic function of the form f(x)=c₁2²+₂ to the data points (-3,-79), (-2,-15), (2, -19), (3,-85), using least squares. (a) The problem is equivalent to finding the least squares solution to the system Xcy where B (b) Find the coefficients of the best fit by finding the least squares solution to the system in part (a) C1= C₂= X= and c = (₁, ₂)
Transcribed Image Text:Problem 8. The goal of this problem is to fit a quadratic function of the form f(x)=c₁2²+₂ to the data points (-3,-79), (-2,-15), (2, -19), (3,-85), using least squares. (a) The problem is equivalent to finding the least squares solution to the system Xcy where B (b) Find the coefficients of the best fit by finding the least squares solution to the system in part (a) C1= C₂= X= and c = (₁, ₂)
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