Analyzing Departures from Linearity

AP Statistics· difficulty 2/5

A model based on observed x-values from 5 to 20 is used to predict y at x = 50.

x (units) y (units) x=5 x=20 x=50?

The prediction is:

  • A

    An extrapolation and likely unreliable

    check_circle
  • B

    Always equal to the mean of y

  • C

    An interpolation and likely accurate

  • D

    Independent of the range of x

Explanation

Predicting beyond the observed x-range is extrapolation; the model may not hold there.

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