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Topic: Scatter Diagrams (Higher - Unit 1)

Specification References: S4.3

S4.3 Recognise correlation and draw and/or use lines of best fit by eye, understanding what they represent.


Candidates should be able to:

  • recognise and name positive, negative or no correlation as types of correlation
  • recognise and name strong, moderate or weak correlation as strengths of correlation
  • understand that just because a correlation exists, it does not necessarily mean that causality is present
  • draw a line of best fit by eye for data with strong enough correlation, or know that a line of best fit is not justified due to the lack of correlation
  • use a line of best fit to estimate unknown values when appropriate

Notes

Though the words interpolation and extrapolation will not be used in the examination, the idea that finding estimates outside of the data range is less reliable than finding estimates from within the data range is expected to be understood by candidates.

Examples

  1. From a scatter diagram:
    1. Write the down the strength and type of correlation shown by the diagram.
    2. Interpret your answer to part (a) in the context of the question.

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  1. From a scatter diagram:
    1. Use your diagram to estimate the marks Jodie may have obtained on Paper 2.
      (line of best fit is expected to be used without prompting)
    2. Shabir obtained 95% on Paper 1 (20% more than anyone else).
      Why might it not be a good idea to use the diagram to estimate his possible mark on Paper 2?

  2. (scatter with data for March missing)
    The diagram shows there is a weak negative correlation between the number of letters in a month and the average daily temperature.
    Give two reasons why you should not use the diagram to estimate the average daily temperature for March.