# 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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### Articles that describe this calculator

#### 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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### Calculators that use this calculator

### Calculators used by this calculator

- Curve Fitting using Unconstrained and Constrained Linear Least Squares Methods
- Random matrix generator

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

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