X = 1, 1.4, 3.2, 5 Y = 1.2, 3, 2.8, 4 Directly fit the data by a single 3rd-order polynomial that runs through all of the data points. It is recommended that you use the Lagrange interpolation method (Sec 6.5.1), but a solution obtained by directly solving the 4 x 4 matrix equation (Sec 6.5, pp. 211-212) will also be acceptable. Show your procedure. Plot the 3rd-order polynomial and the original data points in a single figure.
X = 1, 1.4, 3.2, 5 Y = 1.2, 3, 2.8, 4 Directly fit the data by a single 3rd-order polynomial that runs through all of the data points. It is recommended that you use the Lagrange interpolation method (Sec 6.5.1), but a solution obtained by directly solving the 4 x 4 matrix equation (Sec 6.5, pp. 211-212) will also be acceptable. Show your procedure. Plot the 3rd-order polynomial and the original data points in a single figure.
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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Question
X = 1, 1.4, 3.2, 5
Y = 1.2, 3, 2.8, 4
Directly fit the data by a single 3rd-order polynomial that runs through all of the data points. It is
recommended that you use the Lagrange interpolation method (Sec 6.5.1), but a solution obtained by
directly solving the 4 x 4 matrix equation (Sec 6.5, pp. 211-212) will also be acceptable. Show your
procedure. Plot the 3rd-order polynomial and the original data points in a single figure.
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