Finding coefficient of correlation between variables

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Reference no: EM1318649

Q1) Suburban hotel derives its gross income from its hotel and restaurant operations. Owners are interested in relationship between number of rooms occupied on nightly basis and revenue per day in restaurant. Below is sample of 25 days (Monday through Thursday) from last year showing he restaurant income and number of rooms occupied.

Day

Income

Occupied

Day

Income

Occupied

1

$1,452

23

14

1425

27

2

1361

47

15

1445

34

3

1426

21

16

1439

15

4

1470

39

17

1348

19

5

1456

37

18

1450

38

6

1430

29

19

1431

44

7

1354

23

20

1446

47

8

1442

44

21

1485

43

9

1394

45

22

1405

38

10

1459

16

23

1461

51

11

1399

30

24

1490

61

12

1458

42

25

1426

39

13

1537

54

 

 

 

 Use statistical software package to reply the following questions.

a) Does breakfast revenue appear to increase as number of occupied rooms increases? Draw scatter diagram to support your conclusion.

b) Find out coefficient of correlation between variables. Interpret the value.

c) Is it reasonable to conclude that there is a positive relationship between the revenue and occupied rooms? Use the .10 significance level.

d) What percent of variation in revenue in restaurant is accounted for by number of rooms occupied?

Reference no: EM1318649

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