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2.2.2 Scatter diagrams and correlation

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Question 20

For the cars in an extract from the AQA Large Data Set, separate regression lines are fitted for each fuel type. With c c\,c the CO emission in g/km and e e\,e the CO2 _2\,2​ emission in g/km, the two lines are

diesel cars: c=0.02+0.0009ec = 0.02 + 0.0009ec=0.02+0.0009e

petrol cars: c=−0.18+0.0032ec = -0.18 + 0.0032ec=−0.18+0.0032e

a.

Interpret the two gradients in context, and state which fuel type shows the greater increase in CO emission for a given increase in CO2 _2\,2​ emission.

[2]
b.

Explain why comparing the two numbers 0.02 and -0.18 is not useful here.

[1]
c.

Use the appropriate line to estimate the CO emission of a diesel car whose CO2 _2\,2​ emission is 130 g/km, and state whether your answer is consistent with the Large Data Set.

[2]
Markscheme

2.2.2 Scatter diagrams and correlation Questions

  1. A Level
  2. /Maths
  3. /2.2.2 Scatter diagrams and correlation

157 exam-style questions on AQA A Level Maths 2.2.2 Scatter diagrams and correlation. Each one has a worked solution and a mark scheme showing where the marks go.

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