r squared comparing sine waves
4 views (last 30 days)
Show older comments
I have a dataset to which I have asked matlab to fit a sine wave. I want to find the r^2 value to see how well the sine curve I have generated fits the data.
Is there a simple way of doing this?
x1 = time';
y = Qe_mean;
yu = max(y);
yl = min(y);
yr = (yu-yl);
yz = y-yu+(yr/2);
zx = time(yz .* circshift(yz,[0 1]) <= 0);
P = period;
ym = mean(Qe_mean);
fit = @(b,x) b(1).*(sin(2*pi*x./P + 2*pi/b(2))) + b(3);
fcn = @(b) sum((fit(b,x1) - y).^2);
s = fminsearch(fcn, [yr; -1; ym])
xp = linspace(min(x1),max(x1),P);
figure()
plot(xp,fit(s,xp), 'b')
hold on
plot(time,y,'k','Linewidth',1)
0 Comments
Answers (0)
See Also
Categories
Find more on Interpolation in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!