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

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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.
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
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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