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2 Statistics

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Question 162

The temperature of water in a kettle is www °C at time t t\,t minutes after boiling. A regression model fitted over the first 20 minutes is log⁡10w=1.99−0.031t\log_{10}w=1.99-0.031tlog10​w=1.99−0.031t.

a.

Express the model in the form w=abtw=ab^tw=abt, giving a a\,a and b b\,b to 3 significant figures.

[3]
b.

Interpret a a\,a in context.

[1]
c.

Explain why the model is unlikely to be reliable after 60 minutes.

[1]
Markscheme

2 Statistics Questions

  1. A Level
  2. /Maths
  3. /2 Statistics

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