NAME

Statistics::MVA::MultipleRegression - Simple Least Squares Linear Multiple Regression Module.

VERSION

This document describes Statistics::MVA::MultipleRegression version 0.0.1

SYNOPSIS

    my $lol = [
        [qw/745  36  66/],
        [qw/895  37  68/],
        [qw/442  47  64/],
        [qw/440  32  53/],
        [qw/1598 1   101/],
     ];

    use Statistics::MVA::MultipleRegression;

    # Call exported routine on List-of-List of data (each nested list - row - corresponds to a set of observations. In void-context it prints a report to STDOUT.
    linear_regression($lol);

    # In LIST-context the routine returns an ARRAY reference of the coefficients and R^2.
    my ($Array_ref_of_coefficients, $R_sq) = linear_regression($d);

DESCRIPTION

    The general purpose of multiple regression is to gain information about the relationship between several independent
    variables (x_i) and a dependent variable (y). The procedure involves fitting an equation of the form:
    
        y = b_o + x_1 * b_1 + x_2 * b_2 +... ... x_n * b_n

    This is a minimal implementation of least squares procedure that accepts a List-of-Lists in which each nested list
    corresponds to a single set of observations. The single exported routine returns the coefficients (b_i) and R^2.

DEPENDENCIES

'Carp' => '1.08', 'Statistics::MVA' => '0.0.1', 'List::Util' => '1.19', 'Math::MatrixReal' => '2.05',

BUGS

Let me know.

AUTHOR

Daniel S. T. Hughes <dsth@cantab.net>

LICENCE AND COPYRIGHT

Copyright (c) 2010, Daniel S. T. Hughes <dsth@cantab.net>. All rights reserved.

This module is free software; you can redistribute it and/or modify it under the same terms as Perl itself. See perlartistic.

DISCLAIMER OF WARRANTY

Because this software is licensed free of charge, there is no warranty for the software, to the extent permitted by applicable law. Except when otherwise stated in writing the copyright holders and/or other parties provide the software "as is" without warranty of any kind, either expressed or implied, including, but not limited to, the implied warranties of merchantability and fitness for a particular purpose. The entire risk as to the quality and performance of the software is with you. Should the software prove defective, you assume the cost of all necessary servicing, repair, or correction.

In no event unless required by applicable law or agreed to in writing will any copyright holder, or any other party who may modify and/or redistribute the software as permitted by the above licence, be liable to you for damages, including any general, special, incidental, or consequential damages arising out of the use or inability to use the software (including but not limited to loss of data or data being rendered inaccurate or losses sustained by you or third parties or a failure of the software to operate with any other software), even if such holder or other party has been advised of the possibility of such damages.