Day  Revenue Occupied 1 1452 32 2 1361 20 3 1426 21 4 1470 25 5 1456 26 6 1430 23 7 1354 20 8 1442 39 9 1394

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Day  Revenue Occupied
1 1452 32
2 1361 20
3 1426 21
4 1470 25
5 1456 26
6 1430 23
7 1354 20
8 1442 39
9 1394 15
10 1459 50
11 1399 41
12 1458 35
13 1537 41
14 1425 31
15 1445 51
16 1439 62
17 1348 45
18 1450 41
19 1431 62
20 1446 47
21 1485 43
22 1405 38
23 1461 36
24 1490 60
25 1426 65
### Part I: Data Analysis for Hotel and Restaurant Revenue

A suburban hotel generates revenue from both its hotel and restaurant operations. The owners are investigating the relationship between the number of rooms occupied each night and the daily revenue generated by the restaurant. Data for this analysis includes a sample of 25 days (Monday through Thursday) from the previous year, focusing on restaurant income and room occupancy.

#### Analysis Tasks:

1) **Revenue and Occupancy Relationship:**
   - Does revenue appear to increase with the number of occupied rooms?
   - Create a scatter diagram to illustrate and support your conclusion.

2) **Correlation Analysis:**
   - Calculate the correlation coefficient between room occupancy and restaurant revenue.
   - Interpret the correlation value to understand the strength and direction of the relationship.

3) **Assessing Positive Relationships:**
   - Determine the existence of a positive relationship between revenue and occupied rooms.
   - Use a significance level of 0.10 for your analysis.

4) **Variation in Revenue Explained by Occupancy:**
   - Calculate what percentage of the variation in restaurant revenue is accounted for by room occupancy.

This analysis will provide insights into the dependency of restaurant revenue on hotel occupancy levels, aiding in strategic decision-making for the business.
Transcribed Image Text:### Part I: Data Analysis for Hotel and Restaurant Revenue A suburban hotel generates revenue from both its hotel and restaurant operations. The owners are investigating the relationship between the number of rooms occupied each night and the daily revenue generated by the restaurant. Data for this analysis includes a sample of 25 days (Monday through Thursday) from the previous year, focusing on restaurant income and room occupancy. #### Analysis Tasks: 1) **Revenue and Occupancy Relationship:** - Does revenue appear to increase with the number of occupied rooms? - Create a scatter diagram to illustrate and support your conclusion. 2) **Correlation Analysis:** - Calculate the correlation coefficient between room occupancy and restaurant revenue. - Interpret the correlation value to understand the strength and direction of the relationship. 3) **Assessing Positive Relationships:** - Determine the existence of a positive relationship between revenue and occupied rooms. - Use a significance level of 0.10 for your analysis. 4) **Variation in Revenue Explained by Occupancy:** - Calculate what percentage of the variation in restaurant revenue is accounted for by room occupancy. This analysis will provide insights into the dependency of restaurant revenue on hotel occupancy levels, aiding in strategic decision-making for the business.
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