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What’s left after fitting the model.

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One or two sentences of sharp commentary on why this matters. The unexplained variance often reveals more than the fitted line.

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Another brief, opinionated take. Sometimes the interesting stuff is in what doesn’t fit your mental model.

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What connects these? Sometimes nothing. That’s fine. Residuals don’t need to be correlated—they just need to be noticed.

The unexplained variance is often where the interesting stuff hides.