How to find the centroid of curve ?

I have a curve fitted to a given data and got this curve(x).

curve(x) = a*exp(b*x) + c*exp(d*x)

Coefficients (with 95% confidence bounds):

a = -5458 (-6549, -4368)

b = 0.1531 (0.1456, 0.1606)

c = -2085 (-3172, -997.9)

d = 0.2584 (0.2182, 0.2986)

How to find the (x,y) of the centroid of the curve (in any curve) in MATLAB ?

[KSSV]

Read about mean.

[Sambit Supriya Dash]

I got your point, thank you for the hint.

Answer 1

[Image Analyst]

Try this:

%      Coefficients (with 95% confidence bounds):
a =       -5458 %          (-6549, -4368)
b =      0.1531 %         (0.1456, 0.1606)
c =       -2085 %          (-3172, -997.9)
d =      0.2584 %         (0.2182, 0.2986)
% Declare the range over which you want to evaluate the curve.
x = linspace(-10, 10, 2000);
% Get the y values for the curve.
curve = a*exp(b*x) + c*exp(d*x)
% Plot the curve.
plot(x, curve, 'b-', 'LineWidth', 2);
grid on;
fontSize = 20;
title('a*exp(b*x) + c*exp(d*x)', 'FontSize', fontSize);
xlabel('x', 'FontSize', fontSize);
ylabel('curve', 'FontSize', fontSize);
% Find mean.
meanx = mean(x)
meany = mean(curve);
% Plot mean on the graph.
hold on;
plot(meanx, meany, 'r+', 'LineWidth', 2, 'MarkerSize', 40);