The least-squares method for approximation of data

using Mathematica

Background

Conclusion: The obtained error is obviously large as can also be seen from the graphs of both functions. An approximation with a polynomial of a higher degree can be found.

Conclusion: The derived errors and aer are obviously still large but are more acceptable than the former approximation (compare the graphs of the two functions). An approximation with a polynomial of an even higher degree can be found.

Conclusion: The derived error and the test absolute error are now quite satisfactory.

Created by Mathematica (May 22, 2008)