# Exam-Style Question on Statistics

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

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Question id: 564. This question is similar to one that appeared on an IB AA Standard paper in 2021. The use of a calculator is not allowed.

The following table contains data collected from an experiment.

 $$x$$ 1.6 2.3 3.4 4.7 5.5 6.5 7.8 $$y$$ 2.7 2.9 3.5 3.6 4 4.3 4.5

(a) Plot points representing this data on the coordinate grid below.

(b) Find the equation of the regression line of $$y$$ on $$x$$ and draw the graph of that line on the scatter graph you have created.

(c) Use your equation to predict the value of $$y$$ when $$x=5$$.

(d) Write down the value of the Pearsonâ€™s product-moment correlation coefficient, $$r$$.

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