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4024/11 Oct/Nov 2024, Question 6: Scatter Diagrams and Correlation

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 4 marks

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The question, in short

Table links homework time in minutes to number of errors for ten students; use the scatter diagram to plot remaining points, add a line of best fit, and estimate the time for a student with 6 errors.

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

Part (a) · 2 marks

Plot the four remaining data pairs from the table onto the scatter diagram, using the given axes.

  1. 1Plot (60, 9), (65, 7), (63, 8), (70, 7)

AnswerFour points plotted correctly

Part (b) · 1 mark

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

  1. 1Rule a straight line through the middle of the points, sloping down
  2. 2It should pass near the mean point (78.2, 4.8)

AnswerRuled line of best fit

Part (c) · 1 mark

Using your line of best fit, estimate the homework time for a student who made 6 errors.

  1. 1Read across from 6 errors to your line and down to the time axis
  2. 2Time ≈ 73 minutes (reading from a line of best fit through (78.2, 4.8))

Answer73 (accept 69 to 77)

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