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DDG – Resource sheet 6.2 Scatter graphs
1. Goldcrests
The goldcrest is Britain’s smallest species of bird.
On winter days, a goldcrest must eat enough food to keep it warm at night. During the day, the mass of the bird increases.
The scatter diagram shows the mass of goldcrests at different times during winter days. It also shows the line of best fit.
(a) Estimate the mass of a goldcrest at 11:30 am.
(b) Estimate by how many grams, on average, the mass of a goldcrest increases duringonehour.
(c) Which goldcrest represented on the scatter diagram is least likely to survive the nightifitis cold?
Show your answer by circling the correct point on the scatter diagram, then explain why you chose that point.
2. The scatter graph shows information about trees called poplars.
(a) What does the scatter graph show about the relationship between the diameter of the tree trunk and the height of the tree?
(b) The height of a different tree is 3 m. The diameter of its trunk is 5 cm.
Use the graph to explain why this tree is not likely to be a poplar.
(c) Another tree is a poplar. The diameter of its trunk is 3.2 cm.
Estimate the height of this tree.
3. Rodents
The scatter graph shows the average body length and average foot length of different species of rodents.
(a) What does the scatter graph tell you about the type of correlation between the body length and foot length for these rodents?
1 mark
(b) Draw a line of best fit on the scatter graph.
1 mark
(c) If body length increased by 50 mm, by approximately how many millimetres would you expect foot length to increase?
Ring the correct value below.
2 7 15 50 275
1 mark
(d) An animal has a body length of 228 mm, and foot length of 22 mm.
Is this animal likely to be one of these species of rodents?
Tick () Yes or No.
Yes No
Explain your answer.
4. Nine students were discussing their holiday jobs working on a local farm.
They decided to find out if there were any relationships between the time they spent working, sleeping, watching television and the distance they had to travel towork.
The students plotted three scatter graphs.
(a) What does graph 1 show about the relationship between the weekly hours spent watching television and the weekly hours worked?
1 mark
(b) What does graph 2 show about the relationship between the weekly hours slept and the weekly hours worked?
(c) What does graph 3 show about the relationship between the weekly travelling distance and the weekly hours worked?
(d) Another student works 30 hours per week.
Use graph 2 to estimate the weekly hours spent watching television by this student.
Explain how you decided on your estimate.
5. Pizza
A company has 10 pizza shops.
All the shops sell the same types of pizza at the same prices.
Mr Bal asked:
‘Is there a relationship between the number of pizzas sold and the number of people who live within 3 miles of a shop?’
Mrs Evans asked:
‘Is there a relationship between the number of pizzas sold and the floor area of a shop?’
They looked at these graphs.
(a) What does graph 1 show about the relationship between the average number of pizzas sold each day and the number of people who live within 3 miles of a shop?
(b) What does graph 2 show about the relationship between the average number of pizzas sold each day and the floor area of a shop?
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Secondary National Strategy © Crown copyright 2007
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