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CAIE IGCSE Mathematics Core C9.5.3 Draw By Eye Interpret and Use a Straight Line of Best Fit Questions

Practise Core CAIE IGCSE Mathematics by drawing a line of best fit, estimating values from it and interpreting the fitted relationship in context.

Syllabus
2028–2030
Course
Mathematics 0580
Level
Core

Exam points

  • Draw a single straight line of best fit by inspection with an even distribution of points about the line.
  • Use a line of best fit to estimate an unobserved value from a scatter diagram.
  • Interpret the gradient and context of the fitted line while reporting estimates with sensible precision.

CAIE IGCSE Mathematics Core C9.5.3 Draw By Eye Interpret and Use a Straight Line of Best Fit Questions question 1

[Maximum number: 2]

Question (a)

(a)

As part of a sports competition, 14 athletes run 100 m and complete a swimming race.
The scatter diagram shows the times, in seconds, to run 100 m and the times, in seconds, to complete the swimming race, for 11 of these athletes.

Time to complete the swimming race (s)

Figure for Question (a) — CAIE IGCSE Mathematics Core

The table shows the times for the other 3 athletes.

Table for Question (a) — CAIE IGCSE Mathematics Core
[ 2 ]

Question (i)

(i)

On the scatter diagram, draw a line of best fit.

[ 1 ]

Question (ii)

(ii)

Another athlete completes the swimming race in 23.8 seconds.

Use your line of best fit to estimate the athlete's time to run 100 m .

[ 1 ]
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