Dr. Lillian​ Fok, a New Orleans​ psychologist, specializes in treating patients who are agoraphobic​ (i.e., afraid to leave their​ homes). The following table indicates how many patients Dr. Fok has seen each year for the past 10 years. It also indicates what the robbery rate was in New Orleans during the same​ year:                                                                                                                                                                       Year 1 2 3 4 5 6 7 8 9 10 Number of Patients 36 34 39 40 42 54 62 53 57 62 Robbery Rate per​ 1,000 Population 58.3 60.6 73.0 75.2 78.5 88.6 99.6 94.2 102.2 117.2 a) The simple linear regression equation that shows the best relationship between the number of patients and year is ​(round your responses to three decimal​ places):                                                 Ý​=_____+_____x where ​Ý= Dependent Variable and x​ = Independent Variable. b) Using linear regression​, the number of patients Dr. Fok will see in year 11​=______ patients​ (round your response to two decimal​ places). c) Using linear regression​, the number of patients Dr. Fok will see in year 12​=______patients ​(round your response to two decimal​ places).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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Dr. Lillian​ Fok, a New Orleans​ psychologist, specializes in treating patients who are agoraphobic​ (i.e., afraid to leave their​ homes). The following table indicates how many patients Dr. Fok has seen each year for the past 10 years. It also indicates what the robbery rate was in New Orleans during the same​ year:
                                                                                                                                                                     
Year
1
2
3
4
5
6
7
8
9
10
Number of Patients
36
34
39
40
42
54
62
53
57
62
Robbery Rate per​ 1,000 Population
58.3
60.6
73.0
75.2
78.5
88.6
99.6
94.2
102.2
117.2
a)
The simple linear regression equation that shows the best relationship between the number of patients and year is ​(round your responses to three decimal​ places):
                                               
Ý​=_____+_____x
where
Ý= Dependent Variable and x​ = Independent Variable.
b)
Using linear
regression​,
the number of patients Dr. Fok will see in year
11​=______ patients​ (round your response to two decimal​ places).
c)
Using linear regression​, the number of patients Dr. Fok will see in year
12​=______patients ​(round your response to two decimal​ places).
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