Curve Fitting using Unconstrained and Constrained Linear Least Squares Methods

This online calculator build regression model to fit a curve using linear least squares method. If additional constraints on the approximating function are entered, calculator uses Lagrange multipliers to find the solutions.

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PLANETCALC, Curve Fitting using Unconstrained and Constrained Linear Least Squares Methods

Curve Fitting using Unconstrained and Constrained Linear Least Squares Methods

Function must pass through particular points

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Digits after the decimal point: 4
Quadratic regression
 
Correlation coefficient
 
Coefficient of determination
 
Average relative error, %
 
Cubic regression
 
Correlation coefficient
 
Coefficient of determination
 
Average relative error, %
 
4th order polynomial regression
 
Correlation coefficient
 
Coefficient of determination
 
Average relative error, %
 
5th order polynomial regression
 
Correlation coefficient
 
Coefficient of determination
 
Average relative error, %
 
Linear regression
 
Linear correlation coefficient
 
Coefficient of determination
 
Average relative error, %
 
Logarithmic regression
 
Correlation coefficient
 
Coefficient of determination
 
Average relative error, %
 
Hyperbolic regression
 
Correlation coefficient
 
Coefficient of determination
 
Average relative error, %
 
6th order polynomial regression
 
Correlation coefficient
 
Coefficient of determination
 
Average relative error, %
 
7th order polynomial regression
 
Correlation coefficient
 
Coefficient of determination
 
Average relative error, %
 
8th order polynomial regression
 
Correlation coefficient
 
Coefficient of determination
 
Average relative error, %
 
Results
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PLANETCALC, Curve Fitting using Unconstrained and Constrained Linear Least Squares Methods

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