The engine capacity (in litres) and the fuel efficiency (in miles per gallon) of a random sample of 10 petrol-driven cars are:
(a) Determine the regression equation and test the hypothesis that the population slope is zero using a 1% level of significance.
(b) Construct a 99% confidence interval for the mean fuel efficiency of cars with an engine capacity of 1.8 litres.
(c) Construct a 99% prediction interval for the fuel efficiency of a single car with an engine capacity of 1.8 litres.