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In: Statistics and Probability

3) The total expenses of a hospital is determined by many different factors but two of...

3) The total expenses of a hospital is determined by many different factors but two of these factors are the number of beds and the number of patients that are admitted to the hospital. Data was collected on 14 hospitals and is listed in the table.

Hospital

Number of beds

Admissions (1,000s)

Total expenses ($1,000,000

1

215

77

57

2

336

160

127

3

520

230

157

4

135

43

24

5

35

9

14

6

210

155

93

7

140

53

45

8

90

6

6

9

410

159

99

10

50

18

12

11

65

16

11

12

42

29

15

13

110

28

21

14

305

98

63

a) Develop a model using the number of beds to predict the total expenses of a hospital. How well does the model fit the data?

b) Develop a model using the number of admissions to predict the total expenses of a hospital. How well does the model fit the data?

c) Develop a model using the number of beds and admissions to predict the total expenses of a hospital. How well does the model fit the data?

d) Do you think that both variables (number of beds and admissions) should be included in our prediction model? Why or Why not?

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