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Edexcel A-Level Mathematics AS S1.1 Mathematical Models in Probability and Statistics Questions

Practise explaining why statistical models are used to simplify real situations, analyse relationships and refine predictions from data.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
AS

Exam points

  • explain why a statistical model is useful for representing or analysing a real situation
  • link modelling to simplification, variable relationships, trends or later refinement

Covered syllabus points

S1.1.1 - Mathematical modelling in probability and statistics

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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