Fit

Usage

• 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.
• The data can have the form {{, , ... , }, {, , ... , }, ... }, where the number of coordinates x, y, ... 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.

Notes

• Fit[{, , ... }, {1, x, x^2}, x] gives a quadratic fit to a sequence of values . The result is of the form + x + x^2, where the are real numbers. The successive values of x needed to obtain the are assumed to be 1, 2, ... .

• Fit[{{, }, {, }, ... }, {1, x, x^2}, x] does a quadratic fit, assuming a sequence of x values .

• Fit[{{, , }, ... }, {1, x, y}, {x, y}] finds a fit of the form + x + y.

• 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 .

Further Examples