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Declaration:procedure CalcHyperbolFit (var k0,k1: double; var FitQual: double);

The procedure CalcHyperbolFit calculates the best fitting hyperbola for a given set of data. The hyperbola is determined by the equation

The values of x and y are given by the data samples, the parameters k0, and k1 are estimated by CalcHyperbolFit using a least squares approximation.

The data points [x,y] have to be entered using the routine EnterStatValue. A minimum number of 3 values is required in order to apply CalcHyperbolFit. Do not forget to reset the statistics calculation before entering any new data sets (use Init)

In addition to the parameters k0 and k1 CalcHyperbolFit returns the goodness of fit in the parameter FitQual. This quality of fit may vary between 0.0 and 1.0, indicating the best possible fit if FitQual equals 1.0.

Hint 1: The quality of fit calculated by CalcHyperbolFit is not adjusted for the degree of freedoms in the regression parameters.

Hint 2: The x-values must not be zero. The curve fitting algorithm raises an exception in the case of zero values.

  This application lets you draw points in a chart and calculate various types of regression curves. Note, that CURVEFIT.DPR uses the components RCHART and NUMLAB for the user interface, which are not included in the MATH2 package.

Example: This method is used in the following example program (see for downloading the code): curvefit

Last Update: 2023-Feb-06