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  • Perplex
    IB Math AASL
    /
    Bivariate Statistics
    /

    Problem Bank

    [Maximum mark: 6]

    A car manufacturer collects data on six of its petrol‑engine models, recording engine power ​x​ (in horsepower) and the corresponding average ​CO2​​ emissons ​y​ (in ​g/km​):

    Engine power ​x​ (​hp​)

    110

    145

    190

    235

    280

    325

    ​CO2​​ emissions ​y​ (in ​g/km​)

    188

    212

    247

    283

    319

    352

    1. Use your graphic display calculator to find the equation of the regression line of ​y​ on ​x.

      [2]

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

    The engine power for the new prototype will be ​x=260hp.

    1. Use your regression equation to estimate the ​CO2​​ emissions of the prototype.

      [2]

    The Pearson product–moment correlation coefficient is ​r=0.975, to three significant figures.

    1. Explain why it is valid to use this regression model to make that estimate.

      [2]

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