Write a user-defined function [a3, a2, a1, aº] CubicRegression (x,y) that uses the cubic least-squares regression approach to find the third-degree polynomial that best its a set of data. The coefficients a3, a2, a1, a are found by expressing the appropriate 4 x 4 system of equations in matrix form and solving by "\" in MATLAB. The function also should return the plot of the data and the best cubic polynomial it. Find the value of [a3, a2, al, ao] for the following data. X 0 0.4 0.8 1.2 1.6 = y 2.9 3.1 3.56 4.6 6.7
Write a user-defined function [a3, a2, a1, aº] CubicRegression (x,y) that uses the cubic least-squares regression approach to find the third-degree polynomial that best its a set of data. The coefficients a3, a2, a1, a are found by expressing the appropriate 4 x 4 system of equations in matrix form and solving by "\" in MATLAB. The function also should return the plot of the data and the best cubic polynomial it. Find the value of [a3, a2, al, ao] for the following data. X 0 0.4 0.8 1.2 1.6 = y 2.9 3.1 3.56 4.6 6.7
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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H1.
![Write a user-defined function [a3, a2, al, a0] CubicRegression(x, y) that uses the cubic
least-squares regression approach to find the third-degree polynomial that best its a set of data. The
coefficients a3, a2, a1, a are found by expressing the appropriate 4 x system of equations in
matrix form and solving by "\" in MATLAB. The function also should return the plot of the data and the
best cubic polynomial it. Find the value of [a3, a2, al, a0] for the following data.
X
0
0.4
0.8
1.2
1.6
y
2.9
3.1
3.56
4.6
6.7](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0bd5277-b732-4ad2-9b74-b5ed7bcbaf40%2Fe0273ffe-57c0-45e1-9d4d-e8b9d7e7316c%2Ffw9k1nt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Write a user-defined function [a3, a2, al, a0] CubicRegression(x, y) that uses the cubic
least-squares regression approach to find the third-degree polynomial that best its a set of data. The
coefficients a3, a2, a1, a are found by expressing the appropriate 4 x system of equations in
matrix form and solving by "\" in MATLAB. The function also should return the plot of the data and the
best cubic polynomial it. Find the value of [a3, a2, al, a0] for the following data.
X
0
0.4
0.8
1.2
1.6
y
2.9
3.1
3.56
4.6
6.7
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