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I want to implement a regression analysis, but I have problems with finding a model for the given data. There are $149$ $(x,y,z)$-values. $y$ values are all positive, $x$ is between $[-10, 10]$ and $z$ is between $[-318, 2140].$

The data plots are below.

I tried an exponential model: $p_1 e^{-p_2 x} + p_3 y.$

I tried another exponential model: $p_3 e^{-4x} + p_2 e^{p_1y}.$

I also tried an logarithmic model: $p_1 \ln(p_2 y) + p_3 x.$ This was a straight line.

And $p_1 \ln(p_2 y) + p_3 e^{-p_4 x}.$

Is there any possibility to identify the right model? Or do you have an idea what I also can try?

Data: https://www.dropbox.com/s/m0x5qjppi5kzhh9/10.04a.txt

  • 0
    Where do your data come from? The best way is always to start from what you expect, you must have some idea of what the data represent and thus which model would in principle best fit them. Even if that models turns out not to be good, it's already a starting point.2012-07-27

0 Answers 0