The goal of this problem is to fit a quadratic function of the form f(a)= c₂a+³ to the data points (-3, 76), (-2, 13), (1,4), (2, 21), using least squares. (a) The problem is equivalent to finding the least squares solution to the system Xe-y where 4-1- .y= (b) Find the coefficients of the best fit by finding the least squares solution to the system in part (a) -101,01² and e-
The goal of this problem is to fit a quadratic function of the form f(a)= c₂a+³ to the data points (-3, 76), (-2, 13), (1,4), (2, 21), using least squares. (a) The problem is equivalent to finding the least squares solution to the system Xe-y where 4-1- .y= (b) Find the coefficients of the best fit by finding the least squares solution to the system in part (a) -101,01² and e-
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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![The goal of this problem is to fit a quadratic function of the form f(a) = c +₂³ to the data points (-3,76), (-2, 13), (1,4), (2, 21), using least squares.
(a) The problem is equivalent to finding the least squares solution to the system xe = y where
TFT
(b) Find the coefficients of the best fit by finding the least squares solution to the system in part (a)
X
and e-[₁,₂]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b9372a4-9177-4849-8b14-c9b630cede4d%2F5872813b-087d-4990-ba49-fbff32b1b159%2F006t9sl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The goal of this problem is to fit a quadratic function of the form f(a) = c +₂³ to the data points (-3,76), (-2, 13), (1,4), (2, 21), using least squares.
(a) The problem is equivalent to finding the least squares solution to the system xe = y where
TFT
(b) Find the coefficients of the best fit by finding the least squares solution to the system in part (a)
X
and e-[₁,₂]
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