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Exam style questions - Hodder Plus Home

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16 Scatter diagrams and<br />

time series<br />

Here is an exam question ...<br />

This table shows the hours of sunshine during the day and the number of bikes hired out by a bike hire firm<br />

over a 10-day period.<br />

Hours of sunshine 6 1 7 8 10 2 9 4 9 5<br />

Bikes hired out 25 5 26 7 35 10 22 14 30 18<br />

a Draw a scatter diagram to show this information. [2]<br />

b Describe the correlation shown in the scatter diagram. [1]<br />

c Draw a line of best fit on your diagram. [1]<br />

d Use your line of best fit to estimate how many bikes would be hired when there were 3 hours of sunshine. [1]<br />

... and its solution<br />

a and c<br />

40<br />

Number of bikes hired<br />

35<br />

30<br />

25<br />

20<br />

15<br />

10<br />

5<br />

0<br />

2 4 6 8 10 12<br />

Hours of sunshine<br />

b Positive correlation<br />

d About 12 bikes<br />

<strong>Exam</strong> Tip<br />

Make sure your line is close to most of the points and that there are<br />

roughly the same number on each side of the line.<br />

<strong>Exam</strong> Tip<br />

Always show your working for part d. Even if your line of best fit is<br />

not correct you can still gain the marks for knowing (and showing the<br />

examiner) how to use it.<br />

© <strong>Hodder</strong> Education 2011 Unit B<br />

37

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