How to find the best fit curve as a vertical scaling of another curve?

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I have a original graph of function f(x). Now I have few points scattered and I want to find a best fit curve through these points. But my new fit curve should be of the form n*f(x) where n is a numerical value. I want to find the value n. How can I do this? Below figure might explain the problem I am talking about. I want to fit curve n*f(x) through orange points and find out n.

Accepted Answer

David Goodmanson
David Goodmanson on 20 Sep 2021
Edited: David Goodmanson on 20 Sep 2021
Hi SojM,
Suppose you have points x,y for the function f(x), where x and y are column vectors. And suppose the red points are the set xr,yr, also both column vectors. Then
ynew = interp1(x,y,xr,'spline');
n = ynew\yr
If you have f(x) as an algebraic function, then the first line can be simply
ynew = f(xr)
  1 Comment
SojM
SojM on 22 Sep 2021
Thanks. This is what I was looking for. Is there any way to put this into a for loop when x and y are same but there are multiple column vectors data (xr, yr)?

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