The Cond̩ Nast Traveler Gold List for 2012 provided ratings for the top 20 small cruise ships (Cond̩ Nast Traveler website, March 1, 2012). The data shown below are the scores each ship received based upon the results from Cond̩ Nast Traveler۪s annual Readers۪ Choice Survey. Each score represents the percentage of respondents who rated a ship as excellent or very good on several criteria, including Shore Excursions and Food/Dining. An overall score was also reported and used to rank the ships. The highest ranked ship, the Seabourn Odyssey, has an overall score of 94.4, the highest component of which is 97.8 for Food/Dining.

a. Determine an estimated regression equation that can be used to predict the overall score given the score for Shore Excursions.
b. Consider the addition of the independent variable Food/Dining. Develop the estimated regression equation that can be used to predict the overall score given the scores for Shore Excursions and Food/Dining.
c. Predict the overall score for a cruise ship with a Shore Excursions score of 80 and a Food/Dining Score of90.

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Shore ExcuTsionS Food/Dining 97.8 96.7 88.5 97.1 91.2 98.8 92.0 88.9 90.8 90.5 88.6 89.7 91.3 73.6 89.7 91.6 90.9 91.5 89.3 91.9 ip Overall Seabourn Odyssey Seabourn Pride National Geographic Endeavor Seabourn Sojourn Paul Gauguin Seahourn Legend Seabourn Spirit Silver Explorer Silver Spiriz Seven Seas Navigator Silver Whisperer National Geographic Explorer Silver Cloud Celebrity Xpedition Silver Shadow Silver Wind SeaDream Il Wind Star Wind Surf Wind Spirit 93.0 92.9 91.3 90.5 90.3 90.2 89.9 89.4 89.2 89.2 89.1 88.7 87.2 87.2 86.6 86.2 86.1 86.1 85.2 90.9 84.2 100.0 94.8 87.9 82.1 86.3 92.6 85.9 83.3 82.0 93.1 78.3 91.7 75.0 78.1 77.4 6.5 72.3 77.4