SEARCH MATHEMATICA 8 DOCUMENTATION

THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.

Linear Regression Package Symbol

DesignMatrix

DesignMatrix[data, funs, vars]
gives the design matrix for data as a linear combination of the functions funs of the variables vars.

To use DesignMatrix, you first need to load the Linear Regression Package using Needs["LinearRegression`"].

The i^th row of a design matrix contains the values of the basis functions funs evaluated at the values for the i^th element in data.

The data can have the form {{x₁, y₁, ..., f₁}, {x₂, y₂, ..., f₂}, ...}, 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 {f₁, f₂, ...}, with a single coordinate assumed to take values 1, 2, ....

The argument funs can be any list of functions that depend only on the variables vars.

whether to automatically include a constant as one of the functions

With the default setting IncludeConstant->True, the constant 1 is included as the first entry in the list of basis functions if a constant is not included in funs.

Needs["LinearRegression`"]

Design matrix for a straight line:

Needs["LinearRegression`"]

Design matrix for a quadratic curve: