SAT Math · Topic 3.4

Two-Variable Data: Models and Scatterplots Practice

Part of Problem-Solving and Data Analysis.

Practice questions

38

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Sample questions

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  1. Sample 1difficulty 2/5

    A scatter plot shows that as study hours increase, test scores increase. This indicates:

    • A

      Negative association

    • B

      Exponential decay

    • C

      Positive association

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    • D

      No association

    Why

    When both variables increase together, the association is positive.

  2. Sample 2difficulty 2/5

    A scatter plot of car age (years) vs. car value (dollars) shows points trending downward from left to right. This is:

    • A

      Negative association

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    • B

      No association

    • C

      Exponential growth

    • D

      Positive association

    Why

    As age increases, value decreases — a negative association.

  3. Sample 3difficulty 3/5

    Using y=30x+100y = 30x + 100, what does the y-intercept 100 represent?

    • A

      Hourly wage

    • B

      Hours worked

    • C

      Maximum cost

    • D

      Cost when no hours are worked

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    Why

    The y-intercept gives the value of yy when x=0x = 0 — the fixed cost.

  4. Sample 4difficulty 3/5

    A scatter plot's points form a near-perfect downward line. The correlation coefficient rr is closest to:

    • A

      00

    • B

      +1+1

    • C

      0.50.5

    • D

      1-1

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    Why

    A strong negative linear pattern gives rr near 1-1.

  5. Sample 5difficulty 3/5

    A scatter plot's line of best fit is y=2x+50y = -2x + 50. What is the predicted value of yy when x=15x = 15?

    • A

      25

    • B

      30

    • C

      35

    • D

      20

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    Why

    y=2(15)+50=30+50=20y = -2(15) + 50 = -30 + 50 = 20.