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Home MathPack Math2 Class TCurveFit Methods CalcCenteredPolyFit  
See also: CalcPolyFit, CenteredPolynomial  
CalcCenteredPolyFit 

The method CalcCenteredPolyFit calculates the best fit for a polynomial of order nOrder which is shifted along the xaxis by XShift. If XShift is set to a zero value, the method automatically determines the optimal shift and returns it in XShift; any other value forces CalcCenteredPolyFit to use this value as shift. The regression equation of the shifted polynomial is given by y = kArray[0] + S(kArray[j](xXShift) ^{j}) The order of the polynomial is restricted to values between 1 and MaxPolyFitOrder. Higher orders may result in numerical instabilities. The variable array parameter kArray returns the polynomial coefficients, the variable parameter FitQual returns the goodness of fit. Version [2] of CalcCenteredPolyFit additionally calculates the pvalues of the coefficients and returns them in the variable array alpha.The function CalcCenteredPolyFit returns a TRUE value if the fit has been calculated successfully, and the returned parameters are valid. Numerical instabilities which may arise from nearsingular equations are indicated by returning a TRUE value in the variable parameter NearSingular. In this case the calculated polynomial coefficients should not be used.
