For which value of the scalar "b" does the (yet unspecified) function, y = f(x,b), go perfectly through the measured values?

Have some function, y = f(x,b), which produces a n-vector of model outputs using as input the n-vector "x" and scalar "b". We collect the following data (for example):

x | y_obs

-----------

0 | 2

2 | 5

3 | 6

For which value of the scalar "b" does the (yet unspecified) function, y = f(x,b), go perfectly through the measured values?

You are looking for the value of "b" for which all three residuals are zero - and hence the total of the residuals is zero.

Need to solve this using an inline function or a MATLAB function for f(b).

Answer 1

[Eric]

Almost the exact same question was asked here (and I already answered it there): For which value of the scalar "b" does the (yet unspecified) function, y = f(x,b), go perfectly through the measured values?