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Residual

SAT glossary · Math

Definition

Actual minus predicted. A positive residual puts the point above the line and means the model under-predicted; a negative residual means it over-predicted.

Residual in plain English

A residual is simply the difference between what actually happened and what a model PREDICTED would happen: residual=actual-predicted. If a residual comes out positive, that data point sits ABOVE the line of best fit, meaning the model guessed too LOW for that point (under-predicted). If it's negative, the point sits BELOW the line, meaning the model guessed too HIGH (over-predicted). Residuals are basically a report card for how well your model is doing at each individual point.

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Practice Residual

For a data set relating two variables, the line of best fit… What is the residual for this data point?

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