Figure 2.2 (page 52):

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

Code for Figure 2.2

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',1)
%
%just a few noisy points
%
npoints=6;
Rmeas = zeros (6, npoints);
for i=1:npoints
  Rmeas(:,i)=0.05*randn(6,1)+R;
end
rest=(inv(A*A')*A * Rmeas)';
save_precision(5);
save -text rate_estimation.dat rest;
plot (rest(:,1), rest(:,2), '+');
axis ([.8, 1.2, 1.8, 2.2]);
title ('Figure 2.2')

Data files

rate_estimation.dat

# Created by Octave 3.2.4, Tue Nov 23 11:17:32 2010 CST 
# name: rest
# type: matrix
# rows: 6
# columns: 2
 0.97491 2.0074
 1.0269 1.986
 1.0264 1.976
 1.0591 1.9228
 0.97891 2.0289
 1.0546 1.9606