fitting 3 sets of data simultaneously using "lsqcurvefit"

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I have a set of data in triplicates (attached). I want to fit the exponential part of these 3 sets simultaneously using "lsqcurvefit" and get one x(1) and x(2). I have included "t" and "or" data in the attached file and here is my function:
function y=or(x,t)
y=((0.282*x(2))-0.24)*x(1)*exp((x(2)-0.24)*t)
I managed to fit each data set individually and average x(1) and x(2) and calculte the STdev but if I could fit 3 sets simultenausly using "lsqcurvefit" would be better.
I would be grateful if you kindly help me.

回答(2 个)

Torsten
Torsten 2022-5-18
Define
T = [t1;t2;t3]
and
OR = [or1;or2;o3]
and treat
[T,OR]
just like you treated
[t1;or1],[t2;or2],[t3;or3]
.
What's the problem ?
  9 个评论
Sara
Sara 2022-5-19
column, it worked but now gives error on
Y1 = Y(1:numel(t(trangemin:rangemax)));
Torsten
Torsten 2022-5-19
编辑:Torsten 2022-5-19
Y is a numel(t(tangemin:rangemax)) x 3 - matrix.
So
Y1 = Y(:,1)
Y2 = Y(:,2)
Y3 = Y(:,3)
guessing you used the code I submitted.

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Sara
Sara 2022-5-19
ok, sorry many comments so was confused:(
I think this is based on your comment:
rangemin = 173;
rangemax = 212;
xprime(1)=100;
xprime(2)=7;
TDATA = [t(rangemin:rangemax);t(rangemin:rangemax);t(rangemin:rangemax)];
ORDATA = [ordata(rangemin:rangemax,1);ordata(rangemin:rangemax,2);ordata(rangemin:rangemax,3)];
x = lsqcurvefit(@or,xprime,TDATA,ORDATA);
Y = or(x,TDATA);
Y = reshape(Y,numel(t(tangemin:rangemax)),3);
function y=or(x,t)
y=((0.282*x(2))-0.24)*x(1)*exp((x(2)-0.24)*t);
end
but still gives error on Y = reshape(Y,numel(t(tangemin:rangemax)),3);

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