AP Statistics · Topic 2.4

Representing the Relationship Between Two Quantitative Variables Practice

Part of Exploring Two-Variable Data.(DAT-1.A)

Practice questions

10

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Sample questions

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  1. Sample 1difficulty 1/5

    The scatterplot shows demand vs price.

    Price ($) Demand (units)

    The association is best described as:

    • A

      Weak and curved

    • B

      Strong, negative, linear

      check_circle
    • C

      No association

    • D

      Strong, positive, linear

    Why

    As price increases, demand decreases in a tight straight pattern.

  2. Sample 2difficulty 1/5

    A researcher uses height to predict weight.

    ? (units) ? (units) Predict weight from height

    Which placement is correct?

    • A

      Height is the explanatory variable on the x-axis; weight is the response on the y-axis

      check_circle
    • B

      Weight on x; height on y

    • C

      Both on the y-axis

    • D

      Both on the x-axis

    Why

    Explanatory (predictor) goes on x; response (predicted) goes on y.

  3. Sample 3difficulty 1/5

    A scatterplot displays

    • A

      Two categorical variables

    • B

      Two quantitative variables

      check_circle
    • C

      One quantitative variable

    • D

      A time series only

    Why

    Scatterplots show the relationship between two quantitative variables.

  4. Sample 4difficulty 2/5

    The scatterplot shows distance vs time for a runner.

    10 20 30 40 2 4 6 8 x (hr) y (mi)

    Approximately how many miles correspond to 6 hours?

    • A

      30

      check_circle
    • B

      20

    • C

      40

    • D

      10

    Why

    At x = 6 hours the y-value is 30 miles per the gridlines.

  5. Sample 5difficulty 2/5

    A teacher records hours studied and test scores for nine students.

    Hours studied (h) Test score (pts)

    Which best describes the association shown?

    • A

      No association

    • B

      Weak, positive, nonlinear

    • C

      Strong, negative, linear

    • D

      Strong, positive, linear

      check_circle

    Why

    Points rise from lower-left to upper-right in a tight straight band, indicating a strong positive linear association.