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 33 14 $ 1,425 33 2 1,361 29 15 1,445 30 3 1,426 31 16 1,439 29 4 1,470 34 17 1,348 28 5 1,456 33 18 1,450 32 6 1,430 33 19 1,431 31 7 1,354 30 20 1,446 29 8 1,442 33 21 1,485 31 9 1,394 33 22 1,405 29 10 1,459 30 23 1,461 30 11 1,399 31 24 1,490 30 12 1,458 31 25 1,426 33 13 1,537 33
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 33 14 $ 1,425 33 2 1,361 29 15 1,445 30 3 1,426 31 16 1,439 29 4 1,470 34 17 1,348 28 5 1,456 33 18 1,450 32 6 1,430 33 19 1,431 31 7 1,354 30 20 1,446 29 8 1,442 33 21 1,485 31 9 1,394 33 22 1,405 29 10 1,459 30 23 1,461 30 11 1,399 31 24 1,490 30 12 1,458 31 25 1,426 33 13 1,537 33
MATLAB: An Introduction with Applications
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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 | 33 | 14 | $ | 1,425 | 33 | ||||||
2 | 1,361 | 29 | 15 | 1,445 | 30 | ||||||||
3 | 1,426 | 31 | 16 | 1,439 | 29 | ||||||||
4 | 1,470 | 34 | 17 | 1,348 | 28 | ||||||||
5 | 1,456 | 33 | 18 | 1,450 | 32 | ||||||||
6 | 1,430 | 33 | 19 | 1,431 | 31 | ||||||||
7 | 1,354 | 30 | 20 | 1,446 | 29 | ||||||||
8 | 1,442 | 33 | 21 | 1,485 | 31 | ||||||||
9 | 1,394 | 33 | 22 | 1,405 | 29 | ||||||||
10 | 1,459 | 30 | 23 | 1,461 | 30 | ||||||||
11 | 1,399 | 31 | 24 | 1,490 | 30 | ||||||||
12 | 1,458 | 31 | 25 | 1,426 | 33 | ||||||||
13 | 1,537 | 33 | |||||||||||
![c-3. Is it reasonable to conclude that there is a positive relationship between revenue and occupied rooms? Use the 0.10 significance
level.
но, it
reasonable to conclude that there is a positive relationship between revenue and occupied rooms.
d. 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc1576e9-c849-48ce-8450-6aba7a1020f2%2F419e1373-badb-4771-9daf-7039bbf6f874%2F28o7p6et_processed.png&w=3840&q=75)
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.
но, it
reasonable to conclude that there is a positive relationship between revenue and occupied rooms.
d. 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.
![a. Choose the scatter diagram that best fits the data.
Scatter diagram 1
Scatter diagram 2
Scatter diagram 3
Scatterplot of Income vs Occupied
Scatterplot of Income vs Occupied
Scatterplot of Income vs Occupied
1540
1540
1540
1440
1440
1440
1340
1340
1340
10
Occupied
Occupied
Occupied
Scatter diagram 1
Scatter diagram 2
Scatter diagram 3
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: Hg: ps 0; H;: 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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc1576e9-c849-48ce-8450-6aba7a1020f2%2F419e1373-badb-4771-9daf-7039bbf6f874%2F8qltk2w_processed.png&w=3840&q=75)
Transcribed Image Text:a. Choose the scatter diagram that best fits the data.
Scatter diagram 1
Scatter diagram 2
Scatter diagram 3
Scatterplot of Income vs Occupied
Scatterplot of Income vs Occupied
Scatterplot of Income vs Occupied
1540
1540
1540
1440
1440
1440
1340
1340
1340
10
Occupied
Occupied
Occupied
Scatter diagram 1
Scatter diagram 2
Scatter diagram 3
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: Hg: ps 0; H;: 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
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