The table shows the hours of television 6 students watched in a week and their scores in a test.
Hours of TV
2
5
8
10
14
16
Test score
78
70
61
55
44
38
What type of correlation would a scatter graph of this data show?
Write a sentence to describe what this correlation tells you.
2 marks
Show answer
a) negative correlationb) the more television a student watches, the lower their test score tends to be
8
The table shows the shoe size and the maths mark of 8 students.
Shoe size
4
9
6
7
5
8
3
10
Maths mark
62
40
55
70
35
66
48
52
Jade says there is no correlation between shoe size and maths mark.
Is Jade correct? Give a reason.
2 marks
Show answer
Yes. The marks do not go up or down with shoe size - there is no pattern
9
The scatter graph shows the number of hours of sunshine and the number of visitors to a country park on each of 10 days.
Describe the correlation shown by the scatter graph.
On another day there were 7.5 hours of sunshine. By drawing a line of best fit, estimate the number of visitors to the park on this day.
3 marks
Show answer
a) positive correlationb) approximately 160 (accept 150-175)
10
The scatter graph shows the number of hours ten students revised and their scores in a test.
Draw a line of best fit on the scatter graph.
Use your line of best fit to estimate the test score of a student who revised for 6.5 hours.
3 marks
Show answer
a) A straight line close to the points, with about as many points above as below, e.g. from (0, 15) to (10, 85)b) About 60 (accept 56 to 64 if it matches their line)
11
A scatter graph shows the hours revised (from 1 to 9 hours) and the test score of some students. The line of best fit passes through (0, 10) and (10, 60).
Use the line to estimate the test score of a student who revised for 7 hours.
Explain why the line should not be used to estimate the score of a student who revised for 25 hours.
3 marks
Show answer
a) 45b) 25 hours is outside the range of the data, so the estimate is unreliable
12
The table shows the maths score and the science score of 8 students.
Maths score
10
20
25
30
35
40
45
50
Science score
18
26
32
38
40
44
50
54
The first six points have been plotted on the scatter graph.
Complete the scatter graph by plotting the last two points.
Describe the correlation between the maths scores and the science scores.
Interpret this correlation.
3 marks
Show answer
a) (45,50) and (50,54) plotted correctlyb) positive correlationc) The higher a student's maths score, the higher their science score tends to be
13
The table shows the temperature at noon and the number of ice creams sold at a kiosk on 8 days.
Temperature (°C)
14
16
18
20
22
24
26
28
Ice creams sold
28
33
39
45
20
56
62
68
Write down the coordinates of the outlier.
Write down the type of correlation shown by the other points.
A line of best fit passes through (14, 28) and (28, 68). Use it to estimate the number of ice creams sold when the temperature is 21°C.
4 marks
Show answer
a) (22, 20)b) positive correlationc) 48
14
The table shows the age, in years, and the resale value, in pounds, of 8 laptops of the same model.
Age (years)
1
2
2.5
3
4
4.5
5
6
Value (£)
520
460
430
380
300
90
210
150
The data is plotted on a scatter graph.
Describe the correlation between the age of a laptop and its value.
One laptop does not fit the general trend. Which laptop is this?
Interpret the correlation for these laptops.
Give a reason why the scatter graph should not be used to estimate the value of a 10 year old laptop.
4 marks
Show answer
a) negative correlationb) the 4.5 year old laptop at £90c) As laptops get older their value decreasesd) 10 years is outside the range of the data (1 to 6 years), so the trend may not continue
Every question here is original and written by Robinson Tuition. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.