Statistical Modelling (Edexcel International A Level Maths): Revision Note

Statistical Modelling

What is a statistical model?

• A statistical model allows you to use mathematics to model real-life situations

  • You could model the temperature throughout of a city throughout a month

  • You could model the sleeping times of a baby

• There are advantages to using a statistical model

  • It simplifies the complicated real-life situation

  • It can be made quickly and easily

  • It can be used to make predictions for real-life

• There are also things to consider when using a statistical model

  • It does not consider all the real-life features from the situation

  • It might only be applicable for specific scenarios

  • It might not provide accurate predictions for the future

What are the stages of a statistical model?

• Stage 1
  A real-life problem is identified

• Stage 2
  An initial statistical model is designed

• Stage 3
  The model is used to make predictions

• Stage 4
  Real-life data is collected

• Stage 5
  Comparisons are made between the expected values from the model and the observed values from the data

• Stage 6
  Consideration of the data selection and collection processes alongside statistical tests are used to assess the validity of the model

• Stage 7
  The model is adjusted and improved (if necessary) based on the results