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Edexcel A-Level Mathematics AS S1.1.1 Mathematical Modelling in Probability and Statistics Questions

Practise giving clear reasons for using statistical models, including simplification, analysis of relationships and repeated refinement.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
AS

Exam points

  • give a reason why a statistical model helps represent or solve a real-world problem
  • explain that models can simplify data, show trends or be adapted after testing

Edexcel A-Level Mathematics AS S1.1.1 Mathematical Modelling in Probability and Statistics Questions question 1

[Maximum number: 1]

Statistical models are a cheap and quick way to make predictions about real-world situations.

Madison wants to develop a model to describe the relationship between the average daily temperature, t∘Ct^\circ \mathrm C, and a household's daily gas consumption, d m3d\ \mathrm{m^3}, in winter.

Madison takes a random sample of 12 days in winter and codes the daily gas consumption so that

w=11.5d

These data are summarised as follows

Stt=26.43Stw=−91.55∑w=339.25∑t=9.1∑w2=10036.45S_{tt}=26.43\quad S_{tw}=-91.55\quad \sum w=339.25\quad \sum t=9.1\quad \sum w^2=10036.45

Give one other reason why statistical models are used.

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