Exam Style Question on Correlation
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 72. This question is similar to one that appeared in an IB Standard paper in 2014. The use of a calculator is allowed.
The following table shows the amount of diesel required by a train to travel certain distances.
|Distance (\(x\) km)||90||150||230||310||390|
|Diesel used (\(y\) litres)||19.2||33.9||49.0||79.5||89.9|
This data can be modelled by the regression line with equation \(y=ax+b\).
(a) Find the values of \(a\) and of \(b\).
(b) Explain what the gradient a represents.
(c) Use the model to estimate the amount of diesel the train would use if it is driven 270 km.
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