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
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
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Topic Video
Question
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 |

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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