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. DayRevenueOccupiedDayRevenueOccupied1 $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.) b. Determine the coefficient of correlation between the two variables. (Round your answer to 3 decimal places.)Pearson correlationc-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 c-3. Is it reasonable to conclude that there is a positive relationship between revenue and occupied rooms? Use the 0.10significance level.H0, There isbetween revenue and occupiedrooms.1. What percent of the variation in revenue in the restaurant is accounted for by the number of rooms occupied? (Roundyour answer to 1 decimal place.)| % of the variation in revenue is explained by variation in occupiedrooms.

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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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.)

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

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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