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Exam style questions - Hodder Plus Home

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a Complete the scatter diagram. (The first 5 points have been plotted for you.) [2]<br />

13<br />

Weekly admissions (thousands)<br />

12<br />

11<br />

10<br />

9<br />

8<br />

7<br />

10 12 14 16 18 20 22<br />

Number of screens<br />

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

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

d A new cinema is to be built in another town. It is to have 17 screens.<br />

Estimate the weekly audience. [1]<br />

3 The table shows the daily audiences for three weeks at a cinema.<br />

Mon Tue Wed Thu Fri Sat<br />

Week 1 268 325 331 456 600 570<br />

Week 2 287 359 391 502 600 600<br />

Week 3 246 310 332 495 565 582<br />

a Plot these figures in a graph. Use a scale of 1 cm to each day on the horizontal axis and 2 cm to 100<br />

people on the vertical axis. You will need to have your graph paper ‘long ways’. [3]<br />

b Comment on the general trend and the daily variation. [2]<br />

4 An orchard contains nine young apple trees. The table shows the height of each tree and the number of<br />

apples on each.<br />

Height (m) 1.5 1.9 1.6 2.2 2.1 1.3 2.6 2.1 1.4<br />

Number of apples 12 15 20 17 20 8 26 22 10<br />

a Draw a scatter graph to illustrate this information. Use a scale of 2 cm to 1 m on the horizontal axis and<br />

2 cm to 10 apples on the vertical axis. [4]<br />

b Comment briefly on the relationship between the height of the trees and the number of apples on<br />

the trees. [1]<br />

c Add a line of best fit to your scatter graph. [1]<br />

d Explain why it is not reasonable to use this line to estimate the number of apples on a tree of similar type<br />

but of height 4 m. [1]<br />

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

39

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