=, 3.8). [Note these data points are in the form ( he parabolic function y = ax² + 3x. In other 1 give them a best-fit curve for this data.
=, 3.8). [Note these data points are in the form ( he parabolic function y = ax² + 3x. In other 1 give them a best-fit curve for this data.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![37. The Amazing Math Kitties, Archer and Eva are doing an experiment which produces the
following data: (1, 1.8), (2, 2.7), (3, 3.4), (4,3.8). [Note these data points are in the form (x, y)].
The kitties would like to fit this data to the parabolic function y ax² + 3x. In other words
they want to solve for a and ß which will give them a best-fit curve for this data.
a) Help Eva and Archer by setting up a matrix equation Ax = b for this system and use
octave to show that this system is inconsistent.
Eva says,
b) Archer wonders what they should do since this system has not solution.
"Purrrhaps we can find an approximate solution..." Archer says he remembers in class we
learned how to find a least-squares solution to inconsistent systems. Help the kitties find such
a least-squares solution for this system and write out the best-fit parabola you get.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc495729c-fc87-4b7b-a937-12ad0926c14e%2Fbf949a15-0bb1-4cd2-b7ef-3382cae7c0f3%2Fntupol_processed.png&w=3840&q=75)
Transcribed Image Text:37. The Amazing Math Kitties, Archer and Eva are doing an experiment which produces the
following data: (1, 1.8), (2, 2.7), (3, 3.4), (4,3.8). [Note these data points are in the form (x, y)].
The kitties would like to fit this data to the parabolic function y ax² + 3x. In other words
they want to solve for a and ß which will give them a best-fit curve for this data.
a) Help Eva and Archer by setting up a matrix equation Ax = b for this system and use
octave to show that this system is inconsistent.
Eva says,
b) Archer wonders what they should do since this system has not solution.
"Purrrhaps we can find an approximate solution..." Archer says he remembers in class we
learned how to find a least-squares solution to inconsistent systems. Help the kitties find such
a least-squares solution for this system and write out the best-fit parabola you get.
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