Approximating a quadratic regression

Given a collection of points, this recipe will try to find a best fit quadratic equation. In the following figure, the curve is a best fit quadratic regression of the points:

Approximating a quadratic regression

Getting ready

Install the dsp package to use Matrix.LU as follows:

$ cabal install dsp

In order to perform a quadratic regression, we will use the least square polynomial fitting algorithm described in Wolfram MathWorld available at http://mathworld.wolfram.com/LeastSquaresFittingPolynomial.html.

How to do it…

  1. Import the following packages:
    import Data.Array (listArray, elems)
import Matrix.LU (solve)
  2. Implement the quadratic regression algorithm, ...

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