ZunZun.com 3D Function Finder
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Text data editor
Fitting target
Smoothness control
Equation family inclusion
Extended equation types
Introduction
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Introduction
Please select an option from the pull-down menu above.
Text data editor
Cut-and-paste text or edit data here
Convert commas to spaces (1,2,0,3 yields 1 2 0 3)
Use comma as decimal separator (1,203 = 1.203)
Remove commas from text (1,2,0,3 yields 1203)
Standard Unweighted Fitting: no weights required
Weighted Fitting: each data point requires a weight
This data is provided as an example, cut and paste as needed to model your data. All lines of text that do not begin with a number are ignored. Weighted fitting requires an additional number to be used as a weight when fitting. The site does not calculate any weights, which are used as: error = weight * (predicted - actual) You must provide any weights you wish to use. X Y Z 3.017 2.175 0.320 2.822 2.624 0.629 2.632 2.839 0.950 2.287 3.030 1.574 2.207 3.057 1.725 2.048 3.098 2.035 1.963 3.115 2.204 1.784 3.144 2.570 1.712 3.153 2.721 2.972 2.106 0.313 2.719 2.542 0.643 2.495 2.721 0.956 2.070 2.878 1.597 1.969 2.899 1.758 1.768 2.929 2.088 1.677 2.939 2.240 1.479 2.957 2.583 1.387 2.963 2.744 2.843 1.984 0.315 2.485 2.320 0.639 2.163 2.444 0.954 1.687 2.525 1.459 1.408 2.547 1.775 1.279 2.554 1.927 1.016 2.564 2.243 0.742 2.568 2.581 0.607 2.571 2.753
Fitting Target
Here you can select the desired fitting target.
Lowest sum of squared (SSQ) absolute error (traditional)
Lowest sum of orthogonal distance (ODR) (robust, slow)
Lowest sum of squared (SSQ) relative error (robust, slow)
Lowest sum of absolute value of absolute error (robust, slow)
Lowest sum of absolute value of relative error (robust, slow)
Lowest peak absolute value of absolute error (robust, slow)
Lowest peak absolute value of relative error (robust, slow)
Lowest AIC (robust, slow)
Lowest BIC (robust, slow)
Smoothness Control
Select the maximum number of coefficients for the function finder.
Equations with fewer coefficients are generally smoother.
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Equation Family Inclusion
Select families of equations to include in the function finder.
NOTE: Polyfunctionals are only used in absolute SSQ fitting.
BioScience
EnzymeKinetics
Exponential
Logarithmic
Miscellaneous
Optical
Peak
Polyfunctional (Unweighted SSQ only)
Polynomial
Power
Rational
Roman Surfaces
Sigmoidal
TaylorSeries
Extended Equation Types Control
Select extended equation types to include in the function finder.
Standard equation types
Reciprocal extended types
Inverse extended types
Linear Growth extended types
Linear Decay extended types
Exponential Growth extended types
Exponential Decay extended types
The source code for the site middleware is at
the Python Equations Google Code Repository
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Superior quality PDF file on practical curve fitting:
Fitting Models to Experimental Data
Test Data Sets
courtesy of
Mr. Ready's Online Math Classroom - Calculus
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