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0580/13 May/Jun 2022, Question 13: Scatter Diagrams and Correlation

Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Calculator · 4 marks

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The question, in short

Using a scatter graph of visitor numbers against daily spending in thousands of dollars over eight days, read values, add a ninth day's point, fit a line, and use it to estimate visitors for a given spend.

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

Part (a) · 1 mark

For the day with 410 visitors, read off the corresponding total amount spent from the scatter graph.

  1. 1The point at 410 visitors is at 27 on the vertical axis
  2. 227 × $1000 = $27 000

Answer27000

Part (b) · 1 mark

Add the ninth day's data, 175 visitors and 9 thousand dollars spent, as a point on the scatter diagram.

  1. 1Plot a cross at 175 visitors, 9 ($1000)

AnswerPoint plotted at (175, 9)

Part (c) · 1 mark

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

  1. 1Rule one straight line through the middle of the points, following the trend, e.g. from about (175, 9) to (550, 42)

AnswerCorrect single ruled line of best fit

Part (d) · 1 mark

Given tenth-day spending of $22 000, use your line to estimate how many visitors came that day.

  1. 1$22 000 is 22 on the vertical axis
  2. 2Read across to the line of best fit and down: about 320 visitors

Answer300 to 350

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