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
Interpret the value -0.93 in this context.
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.
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.
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.