How to generate a nonlinear equation from MATLAB?

I have the data points of a nonlinear curve.

X=[0 1 1.1 1.15]

Y=[0 0.0042 0.0097 0.016]

But I don not have the curve. How can I generate the curve in MATLAB? Thank you.

Answer 1

[Star Strider]

Try something like this —

X=[0 1 1.1 1.15];
Y=[0 0.0042 0.0097 0.016];
fcn = @(b,x) b(1) .* exp(b(2).*x);

format long
[B,fv] = fminsearch(@(b)norm(Y-fcn(b,X)), rand(2,1))

 
Exiting: Maximum number of function evaluations has been exceeded
         - increase MaxFunEvals option.
         Current function value: 0.000423 

B = 2×1

0.000000462018946 9.076307769820247

fv = 
     4.232123029691332e-04

xv = linspace(min(X), max(X));
fcnplot = fcn(B,xv);

figure
plot(X, Y, 'p', 'DisplayName','Data')
hold on
plot(xv, fcnplot, '-r', 'DisplayName','Fitted Function')
hold off
grid
xlabel('X')
ylabel('Y')
legend('Location','best')

.