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Nope.
But I'm generally accepting lower R^2 values as significant.
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Would it be possible to weight data points based on how frequent data points with similar rad/dens. You've got a somewhat biased sample I'm guessing(since bigger planets are easier to see). You could also try calculating density but as a function of radius (m/r) and you could get some interesting results.
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In general though, you are at a disadvantage with astrology, since you can't guarantee a representative sample.