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BUILT-IN MATHEMATICA SYMBOL
Fit
Fit[data, funs, vars]
finds a least-squares fit to a list of data as a linear combination of the functions funs of variables vars.
Details
- The data can have the form
, where the number of coordinates 
, 
, ... is equal to the number of variables in the list vars. - The data can also be of the form
, with a single coordinate assumed to take values 1, 2, .... - The argument funs can be any list of functions that depend only on the objects vars.
- Fit[{f1, f2, ...}, {1, x, x^2}, x] gives a quadratic fit to a sequence of values
. The result is of the form 
, where the 
are real numbers. The successive values of 
needed to obtain the 
are assumed to be 1, 2, ... . » - Fit[{{x1, f1}, {x2, f2}, ...}, {1, x, x^2}, x] does a quadratic fit, assuming a sequence of
values 
. » - Fit[{{x1, y1, f1}, ...}, {1, x, y}, {x, y}] finds a fit of the form
. » - Fit always finds the linear combination of the functions in the list funs that minimizes the sum of the squares of deviations from the values
. » - Exact numbers given as input to Fit are converted to approximate numbers with machine precision. »
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