# Exam-Style Question on Correlation

## A mathematics exam-style question with a worked solution that can be revealed gradually

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Question id: 84. This question is similar to one that appeared on an IB Studies paper in 2014. The use of a calculator is allowed.

The following table shows the relationship between the number of workers and the amount of time in minutes it takes them to harvest the sugar cane in a particular field.

Workers ($$n$$)Time ($$t$$)
3799
4703
5645
6570
8422
9322
10241

(a) Find the equation of the regression line of $$t$$ on $$n$$.

(b) Find the value of the Pearsonâ€™s productâ€“moment correlation coefficient, r.

(c) Use the regression equation to find how long it would take seven workers to harvest the sugar cane.

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