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

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Question 1

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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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