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  • Perplex
    IB Math AASL
    /
    Descriptive Statistics
    /

    Problem Bank

    [Maximum mark: 7]

    A teacher surveys his class to find out how long each student spent studying for a recent test. The time, in hours, each student spent studying is shown alongside their score in the following table.

    Study time (h)

    ​0​

    ​1​

    ​2​

    ​4​

    ​5​

    ​8​

    Score (s)

    ​45​

    ​52​

    ​62​

    ​65​

    ​74​

    ​88​

    1. Find and interpret Pearson's product-moment correlation coefficient, ​r, for this data.

      [2]

      To earn a crown, get your answer ready before you reveal the options!

    2. Find the equation of the regression line of ​s​ on ​t.

      [2]
    3. Use the regression line found in (b) to predict the score of a student who spent ​7​ hours studying.

      [2]
    4. Explain why the regression equation should not be used to predict the score of a student who studied ​25​ hours for the test.

      [1]

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