Travel + Leisure magazine presented its annual list of the 500 best hotels in the world (Travel + Leisure, January 2009). The magazine provides a rating for each hotel along with a brief description that includes the size of the hotel, amenities, and the cost per night for a double room. A sample of 12 of the top-rated hotels in the United States follows.

a. What is the mean number of rooms?
b. What is the mean cost per night for a double room?
c. Develop a scatter diagram with the number of rooms on the horizontal axis and the cost per night on the vertical axis. Does there appear to be a relationship between the number of rooms and the cost per night? Discuss.
d. What is the sample correlation coefficient? What does it tell you about the relationship between the number of rooms and the cost per night for a double room? Does this appear reasonable?Discuss.

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Rooms Cost/Night Boulders Resort & Spa Disney's Wilderness Lodge Four Seasons Hotel Beverly Hills Four Seasons Hotel Los Angeles, CA 5 9 3 Washington, DC Inn on Biltmore Estate Loews Ventana Canyon Resort Mauna Lani Bay Hotel Montage Laguna Beach Sofitel Water Tower St. Regis Monarch Beach Island of Hawaii Colorado Springs, CO