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A suburbanhotelderives its revenue from its hotel and restaurant operations. The owners are interested in the relationship between the number of rooms occupied on a

A suburbanhotelderives 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 Income Occupied Day Income Occupied
1 $ 1,452 60 14 $ 1,425 31
2 1,361 20 15 1,445 51
3 1,426 21 16 1,439 62
4 1,470 80 17 1,348 45
5 1,456 70 18 1,450 41
6 1,430 29 19 1,431 62
7 1,354 30 20 1,446 47
8 1,442 21 21 1,485 43
9 1,394 15 22 1,405 38
10 1,459 36 23 1,461 36
11 1,399 41 24 1,490 30
12 1,458 35 25 1,426 65
13 1,537 51

Click here for the Excel Data File

Use a statisticalsoftwarepackage to answer the followingquestions.

b.

Determine the coefficient of correlation between the two variables.(Round your answer to 3 decimal places.)

Pearson correlation

State the decision rule for 0.005 significance level:H0: 0;H1:> 0(Round your answer to 3 decimal places.)

RejectH0ift>

Compute the value of the test statistic.(Round your answer to 2 decimal places.)
Value of the test statistic

c.

Is it reasonable to conclude that there is a positive relationship between revenue and occupied rooms? Use the 0.005 significance level.

(Click to select)RejectFail to rejectH0, There is a(Click to select)a positive correlationno correlationa negative correlationbetween 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 1decimal place.)

% of the variation in revenue is explained by variation in occupied rooms.

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