RegModels.PowerFit Method

void PowerFit(TVec B, TVec X, TVec Y, TVec Weights)

Fits simple exponential equation to data.

#NameDescription
1XVector of independent variable.
2YVector of dependent variable.
3WeightsWeights (optional). Weights are used only if they are set.
4BReturns regression coefficients for power function.

Result: stored in self (calling object)

Remarks:

The routine fits equations to data by minimizing the sum of squared residuals. The observed values obey the following equation:

Y=b[0]Xb[1].Y=b[0] X^{b[1]} \quad .
Examples
using Dew.Math;
using Dew.Stats.Units;
namespace Dew.Examples
{
    private void Example(Steema.TeeChart.Styles.Point series1,
        Steema.TeeChart.Styles.Point series 2)
    {
        Vector X = new Vector(100,false);
        Vector Y = new Vector(0);
        Vector YHat = new Vector(0);
        Vector B = new Vector(0);

        X.Ramp(-5.0, 0.1); // x= -5.0, -4.9, ..., +4.9
        Y.Size(X);
        Y.RandGauss(3.5,0.1); // sample data
        RegModels.PowerFit(B,X,Y,null); // calculate coefficients
        // evaluate y
        RegModels.PowerEval(B, X, YHat);
        MtxVecTee.DrawValues(X,Y,series1,false); // original data
        MtxVecTee.DrawValueS(X,YHat,series2,false); // fitted data
    }
}
See Also: RegModels.PowerDeriv, RegModels.PowerEval