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Techniques for analyzing the relationship between one (or more) "dependent" variables and "independent" variables.

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What's a good machine learning model for an univariate data set?

Here's my problem scenario:- I have to come up with a power equation as a function of frequency. The plot fits well with a higher order polynomial (4th or 6th) :- $$Power = \theta_0 + \theta_1 fr^1 + …
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