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0580/22 May/Jun 2026, Question 1: Scatter Diagrams and Correlation

Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Non-calculator · 4 marks

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The question, in short

Scatter graph of fuel consumption against CO2 emissions for 10 cars; add a new car, describe the correlation, fit a best-fit line, and use it to estimate fuel use for 140 g/km.

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

Part (a) · 1 mark

Mark a cross at 6.2 on the horizontal axis and 162 on the vertical axis.

  1. 1Go across to 6.2 on the fuel consumption axis
  2. 2Go up to 162 on the CO2 axis and mark a cross at (6.2, 162)

AnswerPoint (6.2, 162) plotted correctly

Part (b) · 1 mark

State the kind of correlation shown by the plotted points.

  1. 1As fuel consumption increases, CO2 emissions increase
  2. 2Positive correlation

AnswerPositive

Part (c) · 1 mark

Add a straight line that best follows the pattern of the points.

  1. 1Draw one ruled straight line with positive gradient through the middle of the points
  2. 2It should pass between (4.35, 116) and (4.35, 134) and between (6.5, 158) and (6.5, 176)

AnswerRuled line of best fit passing between (4.35, 116) and (4.35, 134) and between (6.5, 158) and (6.5, 176)

Part (d) · 1 mark

Using your line, find the fuel consumption value corresponding to 140 g/km.

  1. 1Go across from 140 g/km to the line of best fit
  2. 2Read down to the fuel consumption axis: about 5.1 litres/100 km

Answer5.1 (accept 4.9 to 5.3)

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Also searched as: 0580/22/M/J/26 · 0580_s26_qp_22 · 0580 s26 22 · question 1.
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