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  • Perplex
    IB Math AIHL
    /
    Descriptive Statistics
    /

    Problem Bank

    [Maximum mark: 8]

    The government of Mongolia surveys 6 herding families living in the valley of Yolyn to find out how many goats and sheep each family owns.

    Goats (​g​)

    ​17​

    ​33​

    ​46​

    ​79​

    ​93​

    ​114​

    Sheep (​s​)

    ​21​

    ​29​

    ​63​

    ​85​

    ​101​

    ​106​

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

      [2]
    2. Find the equation of the regression line of ​s​ on ​g.

      [2]
    3. Use the regression line found in (b) to predict the number of goats (​g​) owned by a family in the valley with ​205​ sheep (​s).

      [2]
    4. State two reasons why this prediction may not be accurate.

      [2]

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