The Conde Nast Traveler Gold List for 2012 provided ratings for the top 20 small cruise ships. The data shown below are the scores each ship received based on the results from Conde Nast Traveler's Annual Readers' Choice Survey. Each score represents the percentage of respondents who rated a ship as excellent or very good on several criteria, including Itineraries/Schedule, 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, which is 97.8 for Food/Dining.

(a) Determine the estimated regression equation that can be used to predict the overall score given the scores for Itineraries/Schedule, Shore Excursions, and Food/Dining.

The regression equation is a statistical tool that can be used to predict the overall Conde Nast Travoler cruise ship score from independent scores of Itineraries/Schedule, Shore Excursions, and Food/Dining. The regression equation is usually derived through least squares method or maximum likelihood estimation.

Explanation:

The subject is Statistics, specifically Regression Analysis. The purpose of regression analysis is to understand the relationship between a dependent variable and one or more independent variables, in this case, we're trying to predict the overall score (dependent variable) of the Conde Nast Travoler given the scores for Itineraries/Schedule, Shore Excursions, and Food/Dining (independent variables). The regression equation would be in the form y = a + bx1 + cx2 + dx3, where y is the overall score, x1 is the Itineraries/Schedule score, x2 is the Shore Excursion score, and x3 is the Food/Dining score. The values for a, b, c, and d are typically calculated using least squares method or maximum likelihood estimation.

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