Online calculator for curve fitting with least square methode for linear, polynomial, power, gaussian, exponential and fourier curves. Adaptation of the functions to any measurements.

Different functions can be adapted to data with the calculator: linear curve fit, polynomial curve fit, curve fit by Fourier series, curve fit by Gaussian distribution and power law curve fit. Through the selection of further fit functions the functions are added to the chart. The style of the functions and points can be selected by means of the style information.

The screenshot function allows to copy the diagram to an image. From the image it is possible to store or print the diagram.

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Standard

deviation

deviation

Linear

Gaussian

Power law

Exponential

Polynomial

e-Function

e^2-Function

Fourier

σ =

Linear:

$f\left(x\right)=a+b\cdot x$

Gaussian:

$f\left(x\right)=\frac{1}{\sigma \sqrt{2\pi}}\phantom{\rule{0.3em}{0ex}}{e}^{-\frac{1}{2}\frac{{\left(x-\mu \right)}^{2}}{{\sigma}^{2}}}$

Power law:

$f\left(x\right)=a\cdot {x}^{b}$

Exponential law:

$f\left(x\right)=a\cdot {b}^{x}$

Polynomial:

$f\left(x\right)={a}_{0}+{a}_{1}\cdot x+{a}_{2}\cdot {x}^{2}+\mathrm{...}$

e-function:

$f\left(x\right)=b\cdot {e}^{a\cdot x}$

Fourier series:

$f\left(x\right)=\frac{{a}_{0}}{2}+\sum _{k=1}^{n}({a}_{k}cos\left(k\omega x\right)+{b}_{k}sin\left(k\omega x\right))$

Square e-function:

$f\left(x\right)=a\cdot {e}^{b\cdot {\left(x+c\right)}^{2}}$

Points:

Label:

Load from file:

An alternative input is possible with load data from file. The values may be separated comma or space or semicolon. The values must be given pairwise x_{1},y_{1},x_{2},y_{2}...

Here are the calculated parameter of the least square fitted curves.

Fourier parameter:

Print or save the image via right mouse click.

Here is a list of further useful sites:

Index Regression Linear Power Gaussian Fourier Polynomial Fitting Gaussian distribution Mean Value Calculator Fourier series calculator