Analyzing Departures from Linearity

AP Statistics· difficulty 3/5

Two regression lines are shown: with and without the circled influential point.

x (units) y (units) dashed: with influential pt solid: without it

Removing the influential point most clearly:

  • A

    Decreases the slope

    check_circle
  • B

    Increases r-squared

  • C

    Increases the slope

  • D

    Has no effect on the slope

Explanation

The point pulls the line upward at high x. Removing it gives a flatter line, decreasing the slope.

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