Leverage

nounStandard termStatistics

Measure of how far a data point's input values sit from the rest, which gives it outsized pull on a fitted model.

Leverage depends only on a point's x values, not its response. A point at an extreme x has high leverage, measured by its hat value; the average hat value is p/n for p model terms and n points, and values above about 2p/n deserve a look. High leverage combined with a large residual makes a point influential, meaning that removing it changes the coefficients a lot, which Cook's distance quantifies.

Heard on the job

That one lot at 400 watts has all the leverage. Take it out and the power slope goes flat.

Also heard as

  • hat value