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2.2 L: Data presentation and interpretation

2.2 L: Data presentation and interpretation

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Question 11

For a sample of 50 petrol cars, the fuel economy x x\,x miles per gallon and the CO2 _2\,2​ emission y y\,y g/km are recorded. The fuel economies range from 22 mpg to 58 mpg, the correlation coefficient is -0.93 and the regression line of y y\,y on x x\,x is

y=318−3.6xy = 318 - 3.6xy=318−3.6x

a.

Interpret the value -0.93 in this context.

[2]
b.

Find the set of values of xxx, within the range of the data, for which the line predicts a CO2 _2\,2​ emission of less than 150 g/km.

[3]
c.

The line predicts y=0y = 0y=0 when x=88.3x = 88.3x=88.3. Explain what this shows about using the line outside the range of the data.

[2]
Markscheme

2.2 L: Data presentation and interpretation Questions

  1. A Level
  2. /Maths
  3. /2.2 L: Data presentation and interpretation

244 exam-style questions on AQA A Level Maths 2.2 L: Data presentation and interpretation, covering 2.2.1 Single-variable data diagrams, 2.2.2 Scatter diagrams and correlation, 2.2.3 Central tendency, variation and standard deviation, 2.2.4 Outliers and cleaning data, and 2.2 L: Data presentation and interpretation. Each one has a worked solution and a mark scheme showing where the marks go.

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