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4024/12 May/Jun 2025, Question 8: Scatter Diagrams and Correlation

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 4 marks

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The question, in short

Using a table of 10 walks giving distance in km and time in minutes, complete a scatter diagram, add a best-fit line, and estimate the time for a 6.8 km walk.

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

Part (a) · 2 marks

Plot the remaining four data pairs from the table onto the given scatter diagram, whose axes are distance (3 to 10) and time (30 to 120).

  1. 1Plot (4.2, 52), (9.0, 116), (3.8, 49) and (5.6, 62)

Answer4 points correctly plotted

Part (b) · 1 mark

Add a straight line of best fit to the completed scatter diagram.

  1. 1Rule a straight line through the middle of the points, sloping upwards
  2. 2It should pass near the mean point (6.03, 75.4)

AnswerRuled line of best fit

Part (c) · 1 mark

From the best-fit line, read off the estimated time for a walk covering 6.8 km.

  1. 1Go up from 6.8 km to your line, then across to the time axis
  2. 2A good line gives about 86 minutes (your value depends on your line)

Answer86 (accept 82 to 90)

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Also searched as: 4024/12/M/J/25 · 4024_s25_qp_12 · 4024 s25 12 · question 8.
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