Exam Style Question on Correlation
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 362. This question is similar to one that appeared in an IB Standard paper in 2018. The use of a calculator is allowed.
The following table shows the mean weight in kilograms of members of a group of young children of various ages.
|Age (x years)||1.6||2.5||3.3||4.4||5.6|
|Weight ( y kg)||12||15||16||17||20|
The relationship between the variables is modelled by the regression line with equation \(y = ax + b\)
(a) Find the value of \(a\) and of \(b\)
(b) Write down the correlation coefficient.
(c) Use your equation to estimate the mean weight of a child that is four years old.
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