### Scatter Diagrams Analysis#### Instruction:Select a scatter diagram with the number of rooms on the horizontal axis and the cost per night on the vertical axis.#### Scatter Diagram Options:**A.**- **X-axis (Horizontal):** Number of Rooms- **Y-axis (Vertical):** Cost/Night ($)- **Description:** The data points are spread throughout the graph, showing no clear pattern or correlation between the number of rooms and cost per night.**B.**- **X-axis (Horizontal):** Number of Rooms- **Y-axis (Vertical):** Cost/Night ($)- **Description:** This graph also shows a scattered distribution of data points with no apparent correlation between the number of rooms and the cost per night.**C.**- **X-axis (Horizontal):** Number of Rooms- **Y-axis (Vertical):** Cost/Night ($)- **Description:** This diagram displays a scattered arrangement with no clear trend or correlation between the cost per night and the number of rooms.**D.**- **X-axis (Horizontal):** Number of Rooms- **Y-axis (Vertical):** Cost/Night ($)- **Description:** The scatter plot shows data points spread across the graph without an obvious pattern, indicating no clear relationship between room numbers and nightly cost.#### Selection:Choose the scatter diagram that best represents the relationship or lack thereof between the number of rooms and the cost per night based on the given graphs. If no pattern is evident, any diagram might be suitable to represent a lack of correlation. **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 | Location | Rooms | Cost/Night ($) ||--------------------------------|-------------------|-------|----------------|| Boulders Resort & Spa | Phoenix, AZ | 220 | 499 || Disney’s Wilderness Lodge | Orlando, FL | 727 | 341 || Four Seasons Hotel Beverly Hills| Los Angeles, CA | 285 | 583 || Four Seasons Hotel | Boston, MA | 273 | 497 || Hay-Adams | Washington, DC | 145 | 497 || Inn on Biltmore Estate | Asheville, NC | 213 | 289 || Loews Ventana Canyon Resort | Phoenix, AZ | 398 | 289 || Mauna Lani Bay Hotel | Island of Hawaii | 343 | 455 || Montage Laguna Beach | Laguna Beach, CA | 250 | 594 || Sofitel Water Tower | Chicago, IL | 414 | 369 || St. Regis Monarch Beach | Dana Point, CA | 400 | 675 || The Broadmoor | Colorado Springs, CO | 700 | 422 |a. What is the mean number of rooms? Round your answer to 1 decimal place, if necessary.[__] roomsb. What is the mean cost per night for a double room (in dollars)? Round your answer to 1 decimal place, if necessary.$[__]c. Select a scatter diagram with the number of rooms on the horizontal axis and the cost per night on the vertical axis.**Explanation of Graph/Diagram:** - This would be a scatter plot where each point represents a hotel. The x-axis (horizontal) shows the number of rooms available in a hotel, while the y-axis (vertical) indicates the cost per night for a double room. The distribution and clustering of points can help visualize any correlation between the hotel size and the cost per

The given data is: Part (a) The average no. of rooms is: x¯=Total no. of roomsTotal no. of sampled hotels=220+727+285+...+400+70012=364 So the mean no. of rooms is 364 rooms. Part (b) The mean cost per night is: y¯=Total cost Total no. of sampled hotels=499+341+583+...+675+42212≈459.2 So the mean cost is $459.2. Part(c) Considering the "no. of rooms" on the x-axis and "cost" on the y-axis, the scatter plot is given as: From the provided scatter plots, the scatter plot given in option (C) is correct.