Lemmara logoLemmaraWorked solution

0580/12 Oct/Nov 2024, Question 13: Scatter Diagrams and Correlation

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 5 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Scatter diagram of rooms against people for eight buildings; find a value, plot a point, draw a best-fit line, estimate rooms for 45 people, and state the correlation type.

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

Part (a) · 1 mark

Read the number of people for the building with 67 rooms from the scatter diagram.

  1. 1Find the point at 67 on the rooms axis
  2. 2Read down: 76 people

Answer76

Part (b) · 1 mark

Plot the point for 42 people and 33 rooms on the scatter diagram.

  1. 1Go across to 42 on the people axis and up to 33 on the rooms axis
  2. 2Mark a cross at (42, 33)

AnswerPoint correctly plotted at (42, 33)

Part (ci) · 1 mark

Draw a line of best fit on the scatter diagram.

  1. 1Draw a ruled straight line through the middle of the points, rising from left to right
  2. 2Roughly equal numbers of points on each side

AnswerCorrect ruled line of best fit

Part (cii) · 1 mark

Use the line of best fit to estimate the number of rooms when there are 45 people.

  1. 1Go up from 45 people to the line of best fit
  2. 2Read across: about 30 rooms

Answer27 to 33

Part (d) · 1 mark

State the type of correlation shown in the scatter diagram.

  1. 1As the number of people increases, the number of rooms increases
  2. 2Positive correlation

AnswerPositive

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

Practise more scatter diagrams and correlation questions

Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on scatter diagrams and correlation

Also searched as: 0580/12/O/N/24 · 0580_w24_qp_12 · 0580 w24 12 · question 13.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.