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0580/22 Oct/Nov 2024, Question 4: Scatter Diagrams and Correlation

Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 5 marks

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The question, in short

Use a scatter diagram of rooms against people for eight buildings to read a value, plot a point, draw a best-fit line, estimate rooms for 45 people, and state the correlation type.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 1 mark

Read from the scatter diagram the number of people in the building that has 67 rooms.

  1. 1The point at 67 rooms is at 76 people
  2. 276

Answer76

Part (b) · 1 mark

Plot the point for a building with 42 people and 33 rooms on the scatter diagram.

  1. 1Plot a cross at 42 across (people) and 33 up (rooms)

AnswerPoint correctly plotted at (42, 33)

Part (ci) · 1 mark

Draw a line of best fit on the scatter diagram.

  1. 1Rule one straight line following the trend of the points, with about as many points above as below
  2. 2e.g. through the mean point (51.7, 36.8), from about (28, 11) to about (76, 64)

AnswerCorrect ruled line of best fit

Part (cii) · 1 mark

Use the line of best fit to estimate the number of rooms when there are 45 people.

  1. 1Go up from 45 people to the line and across to the rooms axis
  2. 2About 30 rooms

AnswerAn integer in the range 27 to 33

Part (d) · 1 mark

State the type of correlation shown in the scatter diagram.

  1. 1As the number of people increases, the number of rooms increases: positive correlation

AnswerPositive

Stuck on a step? Read the free lesson: Scatter Diagrams and Correlation

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Also searched as: 0580/22/O/N/24 · 0580_w24_qp_22 · 0580 w24 22 · question 4.
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