The fuel consumptions of a 3000-TEU ship that travels from Singapore to Jakarta, Indonesia, are shown in Table 58 for various speeds. Let y be fuel consumed (in tons per day) by a ship that travels at a rate of x knots.

a. Find an exponential regression model.
b. Use the model to predict the fuel consumption of a 3000-TEU ship that travels at 16.6 knots.
c. Compute the residual for your prediction in part (b). What does it mean in this situation?
d. Compute the coefficient of determination for the model. What does it mean in this situation?
e. Construct a residual plot. Explain why an exponential regression equation might not be the best model even though its coefficient of determination is so close to 1.

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Table 58 Ship Speeds and Fuel Consumptions Speed (knots Fuel Consumption (tons per day 15.4 15.7 16.3 16.6 38 39 43 45 50 56 176