📄 demotcouple.m
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function demoTcouple
% demoTcouple Linear and quadratic fits to J-type thermocouple data
%
% Synopsis: tcouple
%
% Input: None
%
% Output: Print fit coefficients and residuals. Plot fit fcns and residuals
[v,t] = loadColData('Jtcouple.dat',2,1,3); % Read t = f(v) data from file
% --- Perform fits, evaluate fit function, compute residuals
vfit = linspace(min(v),max(v));
c1 = polyfit(v,t,1); tfit1 = polyval(c1,vfit); r1 = t - polyval(c1,v);
c2 = polyfit(v,t,2); tfit2 = polyval(c2,vfit); r2 = t - polyval(c2,v);
c3 = polyfit(v,t,3); tfit3 = polyval(c3,vfit); r3 = t - polyval(c3,v);
fprintf('\nCurve fit coefficients\n ');
fprintf('constant emf emf^2 emf^3\n');
fprintf('linear '); fprintf(' %12.5e',fliplr(c1)); fprintf('\n');
fprintf('quadratic'); fprintf(' %12.5e',fliplr(c2)); fprintf('\n');
fprintf('cubic '); fprintf(' %12.5e',fliplr(c3)); fprintf('\n');
% --- Plot fit and residuals
plot(v,t,'o',vfit,tfit1,'--',vfit,tfit2,'-',vfit,tfit3,'-.');
legend('Data','Linear','Quadratic','Cubic',2); % Legend in upper left corner
xlabel('emf (mV)'); ylabel('Temperature ({}^\circ C)'); grid on
f = figure; % new figure window for residuals
plot(v,r1,'o',v,r2,'s',v,r3,'d'); legend('Linear','Quadratic','Cubic',2);
xlabel('emf (mV)'); ylabel('Temperature residual ({}^\circ C)'); grid on
fprintf('\nResiduals\n ||r||_2 max error\n');
fprintf('linear %8.5f %8.5f\n',norm(r1),norm(r1,inf));
fprintf('quadratic %8.5f %8.5f\n',norm(r2),norm(r2,inf));
fprintf('cubic %8.5f %8.5f\n',norm(r3),norm(r3,inf));
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