Analyzing Departures from Linearity

AP Statistics· difficulty 3/5

A residual plot shows a fan/funnel of increasing spread as predicted values increase.

Predicted (units) Residual

The residual plot indicates:

  • A

    Slope is zero

  • B

    r-squared = 1

  • C

    Heteroscedastic errors; constant-spread assumption is violated

    check_circle
  • D

    Linear model fits well

Explanation

Increasing spread of residuals signals heteroscedasticity, violating the constant-variance assumption.

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