70. Travel + Leisure magazine provides an annual list of the 500 best hotels in the world. 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. Hotel Boulders Resort & Spa Location Phoenix, AZ Rooms Cost/Night 220 499 Disney's Wilderness Lodge Orlando, FL 727 340 Four Seasons Hotel Beverly Hills Los Angeles, CA 285 585 DATA file Travel Four Seasons Hotel Inn on Biltmore Estate Loews Ventana Canyon Resort Mauna Lani Bay Hotel Montage Laguna Beach Sofitel Water Tower St. Regis Monarch Beach The Broadmoor Boston, MA 273 495 Hay-Adams Washington, DC 145 495 Asheville, NC 213 279 Phoenix, AZ 398 279 Island of Hawaii 343 455 Laguna Beach, CA 250 595 Chicago, IL 414 367 Dana Point, CA 400 675 Colorado Springs, CO 700 420 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.