Exam-Style Question on Correlation
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 53. 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 average weights for given heights in a population of men.
|Heights (x cm)||160||165||170||175||180||185|
|Weights ( y kg)||65.1||67.9||70.1||72.8||75.4||77.2|
(a) The relationship between the variables is modelled by the regression equation \(y = ax + b\). Write down the value of \(a\) and of \(b\).
(b) Use this relationship to estimate the weight of a man whose height is 177 cm.
(c) Find the correlation coefficient.
(d) State which two of the following describe the correlation between the variables.
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