Fitting Multiple Data sets

Hello,

I have one independent variable 'x' and 15 dependent variables 'y1', 'y2', ... ... , 'y15'.

I have to fit a function F consisting of six coefficient a, b, c, d, e, & f to the 'x' vs 'y' data, such that

1. coefficients a,b & c have the same values for all fits 'x' vs 'y1', 'x' vs 'y2', ... ... ... ... , 'x' vs 'y15'
2. coefficients d,e & f have different values for each fit 'x' vs 'y1', 'x' vs 'y2', ... ... ... ... , 'x' vs 'y15'

i.e.

• Coeffients for fit 'x' vs 'y1' are a, b, c, d1, e1, & f1
• Coeffients for fit 'x' vs 'y2' are a, b, c, d2, e2, & f2
• Coeffients for fit 'x' vs 'y3' are a, b, c, d3, e3, & f3
• ... ... ...
• Coeffients for fit 'x' vs 'y15' are a, b, c, d15, e15, & f15

How do I go about doing this?

Thanks.

Answer 1

[Vladimir Sovkov]

The package "Optimizer" can help. See:

https://sourceforge.net/projects/optimizer-sovkov/