Linear least-squares fit

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Alyssa
Alyssa 2015-9-9
回答： Star Strider 2015-9-9
Hello, I'm trying to find the least squares fit between two sets of data but all the examples I've seen are for one set. Would anyone mind helping me? Please and thank you!
Code:
%%Part 2
% Graph: Transducer & Scannivalve vs Manometer
x1 = [.054 .107 .177 .272 .383 .514 .809]; %transducer (V)
x2 = [.162 .306 .495 .749 1.051 1.402 2.193]; %scannivalve (V) - switched to +
y = [.182 .47 .841 1.349 1.945 2.615 4.241]; %manometer (in. of H20)
figure(1)
plot(x1,y,'x',x2,y,'o');
title('Part 2'); xlabel('Voltage, V');
ylabel('Pressure, P'); grid on
legend('Tansducer','Scannivalve');

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回答（1 个）

Star Strider
Star Strider 2015-9-9
See if this does what you want:
dsnmtx = [ones(size(y',1),1) x1' x2']; % Design Matrix
B = dsnmtx\y'; % Estimate Parameters
yfit = [ones(size(y',1),1) x1' x2']*B; % Estimated ‘y’
figure(1)
stem3(x1', x2', y')
hold on
plot3(x1', x2', yfit)
hold off
grid on

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