Waterskiing and wakeboarding are two popular water-sports. Finding a model that best suits your intended needs, whether it is a waterskiing, wakeboarding, or general boating, can be a difficult task. WaterSki magazine did extensive testing for 88 boats and provided a wide variety of information to help consumers select the best boat. A portion of the data they reported for 20 boats with a length of between 20 and 22 feet follows (WaterSki, January/February 2006). Beam is the maximum width of the boat, HP is the horsepower of the boat's engine, and TopSpeed is the top speed in miles per hour (mph).
SEE ATTACHMENT FOR TABLE
a. Using these data, develop a estimated regression equation relating the top speed with the boat's beam and horsepower rating.
b. The Svfara SV609 has a beam of 85 inches and an engine with a 330 horsepower rating. Use the estimated regression equation developed in part (a) to estimate the top speed for the Svfara SV609.
This solution shows step-by-step in an Excel file the development of a regression equation relating top speed with a boat's beam and horsepower rating as well as estimates the top speed for Svfara SV609 with the equation.