Residuals

AP Statistics· difficulty 2/5

Consider the residuals from a least-squares regression line.

Property of LSRL residuals Sum of residuals = ? (Least-squares with intercept)

Which statement is always true?

  • A

    All residuals are positive

  • B

    Residuals equal predicted values

  • C

    The sum of squared residuals equals 0

  • D

    The sum of the residuals equals 0

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Explanation

The least-squares method produces residuals that sum to 0 (when an intercept is included).

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