eFunda: Polynomial Curve Fitting
 Polynomial Curve Fitting
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 webMathematica calculators are for premier members only. The calculator is currently in demo mode, and some input fields are not available for editing. Premier members please login here. Otherwise, join us now to start using these powerful webMathematica calculators.

This calculator finds the least-squares fit to a list of two-column data as a polynomial up to a specified order.

The size of input data is limited to 1024 points or less to converve system resources. The input format must be strictly followed to have a correct data parsing.

Inputs   Help
 Numerical data only. Input data must have "," between columns and ";" between rows. [Space], [Tab], and [Enter] will be ignored. Numerical Data: 0.0, 0.414551; 0.1, 0.534459; 0.2, 0.682073; 0.3, 0.643164; 0.4, 0.768891; 0.5, 0.660281; 0.6, 0.664503; 0.7, 0.828999; 0.8, 1.02235; 0.9, 1.08677; 1.0, 1.07689; 1.1, 1.05097; 1.2, 1.18515; 1.3, 1.18178; 1.4, 0.895727; 1.5, 0.79358; 1.6, 0.804691; 1.7, 0.859215; 1.8, 0.916542; 1.9, 0.731479; 2.0, 0.61559; 2.1, 0.638317; 2.2, 0.583177; 2.3, 0.46666; 2.4, 0.366097; 2.5, 0.289775; 2.6, 0.170107; 2.7, 0.0399892; 2.8, -0.0634148; 2.9, -0.16235; 3.0, -0.274137; 3.1, -0.390202; 3.2, -0.388586; 3.3, -0.627472; 3.4, -0.460055; 3.5, -0.566657; 3.6, -0.718847; 3.7, -0.616809; 3.8, -0.946822; 3.9, -1.13584; 4.0, -0.782122; 4.1, -0.992098; 4.2, -1.20449; 4.3, -1.01899; 4.4, -1.16592; 4.5, -1.19063; 4.6, -0.812425; 4.7, -1.10856; 4.8, -0.752746; 4.9, -0.655559; 5.0, -0.737509; 5.1, -0.799995; 5.2, -0.546093; 5.3, -0.531922; 5.4, -0.516011; 5.5, -0.472423; 5.6, -0.348306; 5.7, -0.190675; 5.8, -0.0981659; 5.9, 0.0110435; 6.0, 0.110407; 6.1, 0.207854; 6.2, 0.379377; 6.3, 0.400733; Fitting Function: Fit above data using polynomial a0 + a1x + a2x2 + ... + anxn, where n = , ai (i = 0, 1,..., n) are constants to be determined. Output: Standard Display ASCII Typing ASCII Display Hand Write
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