how to calculate optimal value of a unknown constant of an equation with known data points?
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Hey, I wanted to solve for the optimal value of constant. I have data points of the equation .
please help, how can I do that.
equation is:
y= 1/sqrt(k^2+x^2)
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채택된 답변
Walter Roberson
2020년 9월 11일
k0 = rand() * 10;
bestk = lsqcurvefit( @(k,x)1./sqrt(k.^2+x.^2), k0, x, y);
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Adam Danz
2020년 9월 11일
We don't know what to do either without knowing the full error message :)
If you're looking for an optimal k, Walter's approach is probably the one you want to pursue. If you have questions about your results, we need the inputs you're using so we can reproduce the results.
추가 답변 (1개)
Adam Danz
2020년 9월 10일
k = sqrt((1/y)^2 - x^2)
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Adam Danz
2020년 9월 11일
% assign demo values
k = 2.2; % = 2.2
x = 1:10; % = [1,2,3,4,5,6,7,8,9,10]
y = 1./sqrt(k^2 + x.^2); % = [0.41 0.33 0.26 0.21 0.18 0.15 0.13 0.12 0.10 0.09]
% Solve for k
k = sqrt((1./y).^2 - x.^2) % = [2.2 2.2 2.2 2.2 2.2 2.2 2.2 2.2 2.2 2.2 ]
k = sqrt((1/y(1))^2 - x(1)^2) % = 2.2
Or, as Walter shows, you can use mean(), mode(), median().
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