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.
|
Hotel
Boulders Resort & Spa
|
Location
Phoenix, AZ
|
Rooms
220
|
Cost/Night
499
|
|
Disney's Wilderness Lodge
|
Orlando, FL
|
727
|
340
|
|
Four Seasons Hotel Beverly Hills
|
Los Angeles, CA
|
285
|
585
|
|
Four Seasons Hotel
|
Boston, MA
|
273
|
495
|
|
Hay-Adams
|
Washington, DC
|
145
|
495
|
|
Inn on Biltmore Estate
|
Asheville, NC
|
213
|
279
|
|
Loews Ventana Canyon Resort
|
Phoenix, AZ
|
398
|
279
|
|
Mauna Lani Bay Hotel
|
Island of Hawaii
|
343
|
455
|
|
Montage Laguna Beach
|
Laguna Beach, CA
|
250
|
595
|
|
Sofitel Water Tower
|
Chicago, IL
|
414
|
367
|
|
St. Regis Monarch Beach
|
Dana Point, CA
|
400
|
675
|
|
The Broadmoor
|
Colorado Springs, CO
|
700
|
420
|
|
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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 relation- ship between the number of rooms and the cost per night for a double room? Does this appear reasonable? Discuss.