Data were collected on a random sample of 34 new vehicles sold in the US in 1993. We are interested in determining if there is a relationship between the weight of a vehicle (in pounds) and its engine size (in liters). We want to predict the vehicle weight from the engine size. All assumptions have been checked and are all satisfied .

A 95% confidence interval for 1 was found to be (402.62, 616.36). Interpret this confidence interval in the context of the problem.