by Romeo Matei
About this worksheet:
Given a set of data, you can find the coefficients to a 4th order polynomial that would best represent the data. To do this you can use the least squares method, as demonstrated in this worksheet using PTC Mathcad software. You can define the function S as the sum of the residuals squared, and set the derivative of S yields a system of equations, which you can solve with linear algebra.
This worksheet displaying PTC Mathcad software is rich in mathematical content, providing you with an example data set, the polynomial function model, the least square method, and all equations and formulas you would need for solving. Also included, are graphs, plots, and an example of how to solve using the Least Square method.
Download and explore this worksheet yourself! You can download a free lifetime copy of PTC Mathcad Express and get 30 days of full functionality.