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  • Perplex
    IB Math AASL
    /
    Bivariate Statistics
    /

    Problem Bank

    [Maximum mark: 6]

    A nutritionist records the amount of sugar (​x, in grams) in ten different cereal brands and their average rating (​y​) given by a panel of tasters. The data are shown below.

    ​x​ (grams of sugar)

    ​4​

    ​6​

    ​8​

    ​10​

    ​12​

    ​14​

    ​16​

    ​18​

    ​20​

    ​22​

    ​y​ (taste rating)

    ​78​

    ​75​

    ​72​

    ​70​

    ​68​

    ​64​

    ​60​

    ​58​

    ​55​

    ​50​

    1. Use your calculator to calculate the Pearson product–moment correlation coefficient, ​r.

      [2]

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

    2. Describe the correlation between sugar content and taste rating.

      [1]
    3. Find the equation of the regression line of ​y​ on ​x, in the form ​y=mx+c.

      [2]
    4. Estimate the expected taste rating when a cereal contains ​15​ grams of sugar.

      [1]

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