Given that the data set below: (a) calculate the model parameters a, b and c of a second degree polynomial model y(x)-ax²+bx+c by using the least-squares method. (b) make plots of the data set and the polynomial fit in the same graph. i 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 X₁ 0.0 0.5 1.0 1.5 2.0 2.5 5.5 6.0 6.5 7.0 3.0 3.5 4.0 4.5 5.0 1.0 -0.5 -0.2 0.5 1.5 2.4 2.8 2.0 1.9 Yi 0.6 0.3 -0.2 -0.4 -0.3 -1.0
Given that the data set below: (a) calculate the model parameters a, b and c of a second degree polynomial model y(x)-ax²+bx+c by using the least-squares method. (b) make plots of the data set and the polynomial fit in the same graph. i 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 X₁ 0.0 0.5 1.0 1.5 2.0 2.5 5.5 6.0 6.5 7.0 3.0 3.5 4.0 4.5 5.0 1.0 -0.5 -0.2 0.5 1.5 2.4 2.8 2.0 1.9 Yi 0.6 0.3 -0.2 -0.4 -0.3 -1.0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Given that the data set below:
(a) calculate the model parameters a, b and c of a second degree polynomial model
y(x)-ax²+bx+c by using the least-squares method.
(b) make plots of the data set and the polynomial fit in the same graph.
i 1
2
3
4
5 6
7 8
9 10 11 12 13 14 15
X₁
0.5 1.0
1.5
2.0 2.5
3.0 3.5
4.0
4.5
5.0 5.5
6.0 6.5
7.0
-0.2 0.5 1.5
2.4 2.8 2.0 1.9
1.0 0.6 0.3 -0.2 -0.4 -0.3
-1.0
B
Yi
0.0
-0.5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb9e1fba-6846-4eb4-b8ea-a7b8e0246d07%2F858bb728-1c64-4462-9277-708b6b8aa5d9%2F2cmumzi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given that the data set below:
(a) calculate the model parameters a, b and c of a second degree polynomial model
y(x)-ax²+bx+c by using the least-squares method.
(b) make plots of the data set and the polynomial fit in the same graph.
i 1
2
3
4
5 6
7 8
9 10 11 12 13 14 15
X₁
0.5 1.0
1.5
2.0 2.5
3.0 3.5
4.0
4.5
5.0 5.5
6.0 6.5
7.0
-0.2 0.5 1.5
2.4 2.8 2.0 1.9
1.0 0.6 0.3 -0.2 -0.4 -0.3
-1.0
B
Yi
0.0
-0.5
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