In exercise 9, an estimated regression equation was developed relating the top speed for a boat to the boat's beam and horsepower rating.

a. Compute and interpret R² and R²_a.

b. Does the estimated regression equation provide a good fit to the data? Explain.

Data from Exercise 9

Make and Model Beam TopSpeed 330 Calabria Cal Air Pro V-2 100 91 45.3 47.3 Correct Craft Air Nautique 210 Correct Craft Air Nautique SV-211 Correct Craft Ski Nautique 206 Limited 330 93 375 46.9 46.7 50.1 91 96 83 330 375 Gekko GTR 22 Gekko GTS 20 375 52.2 47.2 Malibu Response LXi Malibu Sunsetter LXi Malibu Sunsetter 21 XTI Malibu Sunscape 21 LSV Malibu Wakesetter 21 XTi 93.5 98 98 340 400 46 340 44 47.5 98 98 400 340 44.9 Malibu Wakesetter VLX 98 400 47.3 Malibu vRide 93.5 93.5 96 340 44.5 Malibu Ride XTI Mastercraft ProStar 209 320 350 44.5 42.5 Mastercraft X-1 90 310 45.8 Mastercraft X-2 Mastercraft X-9 94 96 310 350 42.8 43.2 MB Sports 190 Plus Svfara SVONE 92 330 45.3 91 330 47.7