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4024/12 May/Jun 2023, Question 7: Scatter Diagrams and Correlation

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

From a scatter graph of ten walks plotting distance in km against time in minutes, identify the correlation, add a best-fit line, and use it to estimate the duration of a 5 km walk.

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

Part (a) · 1 mark

State what kind of correlation the plotted points on the scatter graph display.

  1. 1As distance increases, time increases: positive correlation

AnswerPositive

Part (b) · 1 mark

Add a straight line of best fit to the scatter graph.

  1. 1Rule one straight line through the middle of the points, following their trend
  2. 2Have roughly as many points above the line as below it

AnswerRuled line of best fit

Part (c) · 1 mark

Using your best-fit line, work out the time for a walk of 5 km.

  1. 1Go up from 5 km on the Distance axis to your line
  2. 2Read across to the Time axis: that time (in minutes) is the estimate

Answer60 (accept 55 to 65)

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

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