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lsquare.txt
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Introduction
This program performs a least squares approximation on a system of linear
equations.

If you don't know what a least squares approximation is, consult a linear
algebra textbook.  Least squares also discussed in many statistics books.
In a nutshell, least squares produces the most efficient mean square error for
a system of linear equations which can not be solved with the given constraints.
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Package Contents
LSQUARE.82P		LSQUARE ready to be uploaed to a TI-82 or TI-83
LSQUARE.SRC		TI Basic source to LSQUARE.
LSQUARE.TXT		This file.
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Getting the programs on your calculator
The easy thing to do is to use a computer link to upload the *.82P files to
your TI-82 or TI-82.  Computer links are available from TI, or you can make
your own.  Go to the synthetic realms webpage to find links on how to make
links.	The address is at the bottom of this text file.

The other way is to enter the *.SRC into your calculator using the TI basic
editor.  Not suggested obviously.  It is, however, the only way to do it
right now if you don't have a TI-82 or TI-83.  If you aren't using a TI-82
or a TI-83, you might have to make some changes to it.	If you do make a port,
I would be interested in getting it to distribute it.
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Using LSQUARE

Given the equation [A]x=[B], simply enter [A] into matrix [A] and [B] into
matrix [B].

Now run LSQUARE.  The least square solution vector will be displayed on the
string.  It is also stored in [E] for future reference.  If the equation can be
solved exactly, LSQUARE will automagically return that solution.  Of course,
the exact solution has an MSE of 0, so it's not really magic, is it?

All matrices are consumed by LSQUARE.
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contact
This program was created by
Geoffrey Wossum (aka Maxon / [synthetic realms])
gpw0341@omega.uta.edu
http://www.fastlane.net/~gpwossum
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standard disclaimer
The author of LSQUARE assumes no responsibility for any damages,
coincidental or incidental from the use of misuse of these programs.
These programs were intended to be used to check your answers.	If you would
rather use them instead of learning least squares, that's your own problem.
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end of lsquare.txt
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