For Exercises 35–49, do the following:

  1. Construct a scatterplot of the relationship between and .
  2. Interpret the scatterplot.
  3. Calculate the correlation coefficient .
  4. Interpret the value of the correlation coefficient .

Question 4.42

displacement

42. Engine Displacement and Gas Mileage. The table provides the engine displacement (size, in liters) and the city mpg (miles per gallon) gas mileage of a random sample of 12 vehicles taken from the Chapter 6 Case Study data set, FuelEfficiency.

Vehicle Engine
displacement
City mpg
GMC Yukon Denali 6.2 13
Ford E350 Wagon 5.4 11
BMW435i Coupe 3.0 20
Land Rover Range Rover 5.0 13
Infiniti Q50a 3.7 19
Dodge Journey 3.6 17
Jaguar XF 5.0 15
Dodge Challenger 6.4 14
Toyota Highlander Hybrid 3.5 28
Mercedes-Benz S550 4.7 17
Ford Fiesta 1.6 29
Hyundai Elantra 2.0 24