A while back I wrote about how planets are evenly spaced on a log scale. I made a bunch of plots, based on our solar system and the extrasolar systems with the most planets, and noted that they're all roughly straight lines. Here's the plot for our solar system, including dwarf planets, with distance on a logarithmic scale.
This post is a quick follow up to that one. You can quantify how straight the lines are by using linear regression and comparing the actual spacing with the spacing given by the best straight line. Here, I'm regressing the log of the distance of each planet from its star on the planet's ordinal position.
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