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4024/11 May/Jun 2022, Question 10: Scatter Diagrams and Correlation

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 5 marks

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The question, in short

Using a table of rent and distance for nine apartments, complete a scatter diagram, describe its correlation, add a line of best fit, and use it to estimate rent at 4 km.

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

Part (a) · 2 marks

Plot the remaining five data pairs from the table onto the scatter diagram, keeping the four points already drawn.

  1. 1Plot (2.0, 480), (4.3, 270), (2.3, 390), (3.0, 360), (1.0, 530)

Answer5 points plotted correctly

Part (b) · 1 mark

State the kind of correlation visible on the completed scatter diagram.

  1. 1Rent goes down as distance goes up: negative correlation

AnswerNegative

Part (c) · 1 mark

Draw a line of best fit through the plotted points on the scatter diagram.

  1. 1Draw a ruled line with negative gradient through the middle of the points, e.g. through the mean point (2.36, 421)

AnswerRuled line of best fit

Part (d) · 1 mark

Read from your line of best fit the estimated monthly rent for a distance of 4 km.

  1. 1Read up from 4 km to the line and across
  2. 2About $280

Answer280 (accept 250 to 310)

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