Figure A.1 (page 636):

Estimated reaction rates from 2000 production-rate measurements subject to measurement noise.

Code for Figure A.1

Text of the GNU GPL.

main.m

%% Copyright (C) 2001, James B. Rawlings and John G. Ekerdt
%%
%% This program is free software; you can redistribute it and/or
%% modify it under the terms of the GNU General Public License as
%% published by the Free Software Foundation; either version 2, or (at
%% your option) any later version.
%%
%% This program is distributed in the hope that it will be useful, but
%% WITHOUT ANY WARRANTY; without even the implied warranty of
%% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
%% General Public License for more details.
%%
%% You should have received a copy of the GNU General Public License
%% along with this program; see the file COPYING.  If not, write to
%% the Free Software Foundation, 59 Temple Place - Suite 330, Boston,
%% MA 02111-1307, USA.

%
% rate_estimation.m
%
stoi=[0 1 0 -1 -1 1; -1 1 1 -1 0 0; 1 0 -1 0 -1 1];
r=[1;2];
A=stoi(1:2,:);
R=A'*r;
%
% set seed for "reproducible" random numbers
%
randn('seed',0)
%
% lots of noisy points
%
npoints=2000;
Rmeas = zeros (6, npoints);
for i=1:npoints Rmeas(:,i)=0.05*randn(6,1)+R; end
rest=(inv(A*A')*A * Rmeas)';
plot (rest(:,1), rest(:,2), '.');
axis ([0.9, 1.1, 1.9, 2.1]);
title ('Figure A.1')