MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A suburban hotel derives its revenue from its hotel and restaurant operations. The owners are interested in the relationship between the number of rooms occupied on a nightly basis and the revenue per day in the restaurant. Below is a sample of 25 days (Monday through Thursday) from last year showing the restaurant income and number of rooms occupied.
| Day | Revenue | Occupied | Day | Revenue | Occupied | ||||||||
| 1 | $ | 1,452 | 23 | 14 | $ | 1,425 | 27 | ||||||
| 2 | 1,361 | 47 | 15 | 1,445 | 34 | ||||||||
| 3 | 1,426 | 21 | 16 | 1,439 | 15 | ||||||||
| 4 | 1,470 | 39 | 17 | 1,348 | 19 | ||||||||
| 5 | 1,456 | 37 | 18 | 1,450 | 38 | ||||||||
| 6 | 1,430 | 29 | 19 | 1,431 | 44 | ||||||||
| 7 | 1,354 | 23 | 20 | 1,446 | 47 | ||||||||
| 8 | 1,442 | 44 | 21 | 1,485 | 43 | ||||||||
| 9 | 1,394 | 45 | 22 | 1,405 | 38 | ||||||||
| 10 | 1,459 | 16 | 23 | 1,461 | 51 | ||||||||
| 11 | 1,399 | 30 | 24 | 1,490 | 61 | ||||||||
| 12 | 1,458 | 42 | 25 | 1,426 | 39 | ||||||||
| 13 | 1,537 | 54 | |||||||||||
Click here for the Excel Data File
-
Choose the
scatter diagram that best fits the data. - Determine the coefficient of
correlation between the two variables. (Round your answer to 3 decimal places.) -
c-1. State the decision rule for 0.10 significance level: H0: ρ ≤ 0; H1: ρ > 0. (Round your answer to 3 decimal places.)
-
c-2. Compute the value of the test statistic. (Round your answer to 2 decimal places.)
- Is it reasonable to conclude that there is a positive relationship between revenue and occupied rooms? Use the 0.10 significance level.
-
What percent of the variation in revenue in the restaurant is accounted for by the number of rooms occupied? (Round your answer to 1 decimal place.)
Transcribed Image Text:b. Determine the coefficient of correlation between the two variables. (Round your answer to 3 decimal places.)
Pearson correlation
c-1. State the decision rule for 0.10 significance level: Họ: ps0; H1: p> 0. (Round your answer to 3 decimal places.)
Reject HO if t>
c-2. Compute the value of the test statistic. (Round your answer to 2 decimal places.)
Value of the test statistic
Transcribed Image Text:c-3. Is it reasonable to conclude that there is a positive relationship between revenue and occupied rooms? Use the 0.10
significance level.
H0, There is
between revenue and occupied
rooms.
1. What percent of the variation in revenue in the restaurant is accounted for by the number of rooms occupied? (Round
your answer to 1 decimal place.)
| % of the variation in revenue is explained by variation in occupied
rooms.
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