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 Disney's Wilderness Lodge Four Four Seasons Hotel Seasons Hotel Beverly Hills Hay-Adams Inn on Biltmore Estate Loews Ventana Canyon Resort Mauna Lani Bay Hotel Montage Laguna Beach Sofitel Water Tower St. Regis Monarch Beach The Broadmoor Location Phoenix, AZ Orlando, FL Los Angeles, CA Boston, MA Washington, DC Asheville, NC Phoenix, AZ Island of Hawaii Laguna Beach, CA Chicago, IL Dana Point, CA Colorado Springs, CO a. What is the mean number of rooms? Round your answer to 1 decimal place, if necessary. rooms b. What is the mean cost per night for a double room (in dollars)? Round your answer to 1 decimal place, if necessary. $ c. Select a scatter diagram with the number of rooms on the horizontal axis and the cost per night on the vertical axis Rooms 220 727 285 273 145 213 398 343 250 414 400 700 Cost/Night ($) 499 341 583 497 497 289 289 455 594 369 675 422

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2. DETAILS MY NOTES A researcher reports that there is no consistent relationship between grade point average and the number of hours spent studying for college students. The correlation between grade point average and the number of hours studying is an example of O a positive correlation. O a negative correlation. O a correlation near zero. O a correlation near one. MY NOTES Suppose there is a correlation of +0.87 between the length of time a person is in prison and the amount of aggression the person displays on a psychological inventory. This means that spending a longer amount of time in prison causes people to become more aggressive. O True O False

Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. x 3 7 15 32 75 y 40 35 30 26 18 (a) Make a scatter diagram of the data and visualize the line you think best fits the data.  Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website.   (b) Would you say the correlation is low, moderate, or strong? positive or negative? strong and negative moderate and negative   strong and positive low and negative low and positive moderate and positive (c) Use a calculator to verify that Σx = 132, Σx2 = 6932, Σy = 149, Σy2 = 4725, and Σxy = 2997. Compute r. (Round your answer to three decimal places.)r =  As x increases, does the value of r imply that y should tend to increase or decrease? Explain. Given our value of r, we cannot draw any conclusions for the behavior of y as x increases. Given our value of r, y should tend to…