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 on 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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