Are there algorithm that can extract the trend from the variance?
You mean, like, where things regress??
http://stattrek.com/regression/residual-analysis.aspx?Tutorial=AP
Which means, you perform a regression, and then take a look at your data_vs_model.
These "residual" values -- leftover umph after the model was done -- often carry clues about underlying systematic behaviors. (And if it's systematic (non-random), it can *and*should* be modeled.)
So the answer to a question about how to extract trend from variance is our old friend "regression." But the *real* answer is in then plotting the residuals, and looking for non-random behavior.
[This just totally cracks me up.
I went to graduate school *nearly* innumerate. And the guy who schooled me on regression could've gotten good results (maybe better results) from a cinder block -- just a teaching *genius*. The thought that I would be referring back to lectures from >30 years ago ..... would certainly bring a smile.]
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