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Regression, Correlation and Hypothesis Testing

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Question 142

The surface area SSS, in mm2\text{mm}^2mm2, of a metallic crystal growing in a laboratory environment is monitored over time. The surface area is modelled by the equation

log⁡10S=0.85+0.072t \log_{10} S = 0.85 + 0.072t log10​S=0.85+0.072t

where t t\,t is the time in hours after the crystal began to form.

Use the equation of the model to answer parts (a) and (b).

a.

Find the initial surface area of the crystal, giving your answer to 2 decimal places.

[2]
b.

After T T\,T hours, the surface area reaches 120 mm2. Find the value of TTT, giving your answer to 2 decimal places.

[3]

Regression, Correlation and Hypothesis Testing Questions

  1. A Level
  2. /Maths
  3. /Regression, Correlation and Hypothesis Testing

Practise Edexcel A Level Maths Regression, Correlation and Hypothesis Testing with exam-style questions for A Level Maths. 202 questions covering Exponential Models, Measuring Correlation, and Hypothesis Testing for Zero Correlation, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank