I have some questions about a formula and least square approximation
I have 14 information about the speed of a fluid inside a tube, speed, position and standard deviation. I already made a graphic of these information:
(Its x:radios and y:speed)
And now I have to perform a least square approximation on these information, find two variables (k and R) and plot a graph (parabola curve).
These variables are suppose to be used in this formula:
Does anyone have an idea on how to start the second part? I was said that least square would give me these information, but i'm not sure what the k and R are.
I want to know if its possible to use least square to find the k and R, and what is the best way to do it. I saw that Scypy has a somewhat ready module for least square.
Yeah, it can be done and the method that would best solve it is linear regression. Your a0 and a2 coefficient vector can be gotten from the equation (X' is X transpose) a = inv(X'*X)*X'*Y
Here X is the 14 X 2 matrix containing first column containing 1 (r^0) and the second column containing r^2. Y is your function values. You will then have to figure out how to relate a0 and a2 to K and R.