A scatter diagram shows hours of study against test score. As study hours increase, test scores also increase. What kind of correlation is this?
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Practise IGCSE 0580 questions in the style of recent Extended past papers, organised by syllabus subtopic. Each set comes with an examiner-style mark scheme and a downloadable worksheet.
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These Scatter diagrams Topical Past Paper Questions are written in the style of recent Cambridge IGCSE Mathematics 0580 Extended papers and grouped by the Statistics (E9.5) section of the 2025–2027 syllabus. Use them to revise the exact skills examiners test in this part of the course.
Each question is graded Easy → Medium → Hard, plus an A★ Challenge for top-grade preparation. Tap a question to mark your own answer, then unlock the examiner-style mark scheme with model solutions and examiner tips. A printable Topical Past Papers worksheet is included so you can practise offline.
Draw, interpret and use scatter diagrams; recognise positive, negative and zero correlation; draw a line of best fit by eye.
A scatter diagram shows hours of study against test score. As study hours increase, test scores also increase. What kind of correlation is this?
A scatter diagram plots the age of a car (years) against its value (£). What type of correlation would you expect?
[1 mark]On a scatter diagram of shoe size (x-axis) against test score (y-axis), points are scattered with no clear pattern. Describe the correlation.
[1 mark]Why does NO correlation NOT imply 'no relationship'? (Briefly explain.)
[1 mark]A scatter diagram shows temperature (°C) against ice cream sales (£). When temp = 22 °C, sales = £80. When temp = 28 °C, sales = £130. A line of best fit passes through both points.
Use the line of best fit to estimate the sales when the temperature is 25 °C.
[2 marks]A scatter diagram shows strong negative correlation between x and y. Which of the following is the BEST description of the points?
A scatter diagram shows ages (years) and reaction times (seconds) of 8 adults. The line of best fit passes through (20, 0.30) and (60, 0.50).
Find the equation of the line of best fit in the form y = mx + c.
[2 marks]Use the line to estimate the reaction time of a 45-year-old.
[1 mark]On a scatter diagram of weekly study hours against test marks, the line of best fit passes through (0, 30) and (10, 70). Estimate the test mark for a student who studied 7 hours.
[2 marks]A scatter diagram has data points for x in the range 5 ≤ x ≤ 20. Using the line of best fit, why might it be unreliable to estimate y when x = 35? Use the correct statistical term.
[2 marks]