How to get area under the fit attained by Curve Fitting tool?
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Here I have two data arrays namely t and T. I have used the command
t = linspace(0,270,10)
T = [30 32 34.5 38.6 40 40 42 42.5 42.5 42 41.5]
cftool(t,T)
And the cftool gui to attain the following:
I want to get the area under the curve from (t=0) to (t=180). What should I use in this case. I am a complete novice to MATLAB and I do most of my work using the GUI. If anyone can help me it will be really appreciated.
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Sam Chak
le 14 Avr 2022
You can check if this works:
t = linspace(0, 270, 10);
T = [30 32 34.5 38.6 40 42 42.5 42.5 42 41.5];
% Create a shape-preserving piecewise interpolation from t = 0 to 180
tnew = 0:0.01:180;
pch = interp1 (t, T, tnew, "pchip");
plot(t, T, 'ro', tnew, pch, 'b-', 'linewidth', 1.5)
grid on
xlabel('t')
ylabel('T')
Area_under_blue = trapz(tnew, pch)
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Sam Chak
le 14 Avr 2022
This is a rough estimation:
Areas of a Triangle plus a Rectangle:
(30 + 42)*150/2 + (180 - 150)*42
ans = 6660
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