Why is my R-squared value different?

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Joseph Ribeiro
Joseph Ribeiro on 30 Jul 2017
Edited: John D'Errico on 30 Jul 2017
I have used a feedforward backprop to train a network.
When I extract the output from the network and calculate the R-squared value with MS Excel, it is different from what MATLAB calculates from the network when the plotregression command is activated. Any reasons for this? Which one do I report as the actual value?
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John D'Errico
John D'Errico on 30 Jul 2017
Edited: John D'Errico on 30 Jul 2017
Does it matter which one you report? There is more than one possible method to compute R^2. Worse, there are ways to compute an adjusted R^2, which is sometimes arguably more appropriate. So you might be just seeing an adjusted R^2.
Or it might be simply that you extracted a set of coefficients without taking ALL of the significant digits of those parameters, putting essentially the wrong results into Excel. This is a common mistake in fact.
Don't get hung up on a single number that tries to predict goodness of fit. R^2 simply is not that important.

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