Waterskiing and wakeboarding are two popular water-sports. Finding a model that best suits your intended needs, whether it is waterskiing, wakeboading, 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 in inches, HP is the horsepower of the boat's engine, and TopSpeed is the top speed in miles per hour (mph).

a. Using these data, develop an 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.

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Make and Model Beam TopSpeed 100 Calabria Cal Air Pro V-2 Correct Craft Air Nautique 210 Correct Craft Air Nautique SV-211 Correct Craft Ski Nautique 206 Limited Gekko GTR 22 Gekko GTS 20 330 375 330 47.3 46.9 46.7 50.1 93 96 375 93.5 98 47.2 Malibu Response LXi Malibu Sunsettter LXi Malibu Sunsetter 21 XT 340 Malibu Sunscape 21 LSV Malibu Wakesetter 21 XTi Malibu Wakesetter VLX Malibu vRide Malibu Ride XTi Mastercraft ProStar 209 Mastercraft X-1 Mastercraft X-2 Mastercraft X-9 MB Sports 190 Plus Svfara VONE 47.5 44.9 47.3 44.5 44.5 42.5 45.8 42.8 43.2 45.3 47.7 98 98 93.5 93.5 400 310 310 330 330 91