GCSE Maths (AQA)

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Interpolation & Extrapolation

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Statistics Statistics

Interpolation & Extrapolation

5:44 Using Scatter Diagrams
Spec S5 S6
  • Scatter diagrams can be used to plot bivariate data and show the relationship between two variables.
  • A line of best fit can be drawn on a scatter diagram to predict the value of one variable if the other variable is known.
  • Interpolation is a prediction within the range of given data, while extrapolation is a prediction outside the range of given data.
  • Predictions from interpolations are more reliable than predictions from extrapolations.
  • The strength of the correlation between variables affects the accuracy of the estimate.
  • An interpolation is still an estimate and there may be some variation from the line of best fit.
  • Extrapolations assume that the pattern shown by existing data holds in a different part of the graph, which may not always be reliable.
  • It is important to be able to use scatter diagrams to make estimates and critique them based on whether they are interpolations or extrapolations.
  • When estimating the average rating for a given number of cancellations, a line of best fit is drawn and a vertical line is drawn from the given value to the line of best fit.
  • A horizontal line is then drawn to the axis to read the estimated value.
  • If the given value is outside the range of the given data, the estimate is an extrapolation and may not be reliable.

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