How to plot hyperbola curve to pints?

Question

Charnkamal Bhogal 2020-11-27

1
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/664918-how-to-plot-hyperbola-curve-to-pints

评论： Charnkamal Bhogal 2020-11-27

采纳的回答： Daniel Pollard

在 MATLAB Online 中打开

Hello, I have the follwing data given:

x = [0.002 0.01 0.02 0.05 0.12 0.2]

y = [0.2309 3.1405 3.4832 4.0078 4.7561 4.833]

How can I Plot a curved hypobola? I have already tried follwing code but my curve is still edgy and not curved:

hyprb = @(b,x) b(1) + b(2)./(x + b(3));                 % Generalised Hyperbola
NRCF = @(b) norm(y - hyprb(b,x));                       % Residual Norm Cost Function
B0 = [1; 1; 1];
B = fminsearch(NRCF, B0);                               % Estimate Parameters
figure(1)
plot(x, y, 'pg')
hold on
plot(x, hyprb(B,x), '-r')
hold off
grid
text(0.7, 0.52, sprintf('y = %.4f %+.4f/(x %+.4f)', B))

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Answer 1

Daniel Pollard 2020-11-27

0
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https://ww2.mathworks.cn/matlabcentral/answers/664918-how-to-plot-hyperbola-curve-to-pints#answer_557568

在 MATLAB Online 中打开

You need more values in your vector x. Try it with

x0 = linspace(0.002, 0.2, 100);

and alter your code to be

hyprb = @(b,x) b(1) + b(2)./(x + b(3));                 % Generalised Hyperbola
NRCF = @(b) norm(y - hyprb(b,x));                       % Residual Norm Cost Function
B0 = [1; 1; 1];
B = fminsearch(NRCF, B0);                               % Estimate Parameters
figure(1)
plot(x, y, 'pg')
hold on
plot(x0, hyprb(B,x0), '-r')
hold off
grid
text(0.7, 0.52, sprintf('y = %.4f %+.4f/(x %+.4f)', B)).