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=

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 35CR: Maximize the function fx,y=7x+5y in the region determined by the constraints of Problem 34.
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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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