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.
The worked solutions to these exam-style questions are only available to those who have a Transum Subscription.
Subscribers can drag down the panel to reveal the solution line by line. This is a very helpful strategy for the student who does not know how to do the question but given a clue, a peep at the beginnings of a method, they may be able to make progress themselves.
This could be a great resource for a teacher using a projector or for a parent helping their child work through the solution to this question. The worked solutions also contain screen shots (where needed) of the step by step calculator procedures.
A subscription also opens up the answers to all of the other online exercises, puzzles and lesson starters on Transum Mathematics and provides an ad-free browsing experience.
Drag this panel down to reveal the solution
©1997 - 2022 Transum Mathematics :: For more exam-style questions and worked solutions go to Transum.org/Maths/Exam/