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Obtaining line equation having multiple points

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Mostafa Moradi
Mostafa Moradi on 28 Feb 2021
Commented: Star Strider on 28 Feb 2021
Hi everyone,is there a way to obtain line equation having multiple points (around seven points) of that line as a 2*7 matrix?

Answers (1)

Star Strider
Star Strider on 28 Feb 2021
The polyfit (and polyval) functions may be what you want.
There are other options, however these are likely the easiest to use.
  2 Comments
Star Strider
Star Strider on 28 Feb 2021
Try this:
y = [0 1 3 5 7 8 9 10]; %distance from sea bank
H = [0 1 1.5 3 3.5 3.2 2 0]; %depth
u = [0 0.1 0.12 0.2 0.25 0.3 0.15 0]; %velocity
ByH = polyfit(y,H,1);
fit_yH = polyval(ByH,y);
Byu = polyfit(y,u,1);
fit_yu = polyval(Byu,y);
figure
plot(y, H, 'pb')
hold on
plot(y, u, 'pg')
plot(y, fit_yH, '-b')
plot(y, fit_yu, '-g')
hold off
grid
xlabel('y')
ylabel('Amplitude')
legend('H','u','Fit_H','Fit_u', 'Location','NW')
These will provied a linear fit to both dependent data vectors with respect to ‘y’. For polynomial fits of greater (integer) degrees, see the documentation I linked to earlier.
Change other parts of my code to get the results you want.

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