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 35 33 40 40 42 55 62 54 59 61 Robbery Rate per 1,000 Population 58.0 61.1 73.0 76.1 78.5 89.5 99.6 95.4 103.2 115.6 Part 2 The simple linear regression equation that shows the best relationship between the number of patients and the robbery rate is (round your responses to three decimal places): y = enter your response here + enter your response here x where y = Number of Patients and x = Robbery Rate. Part 3 In year 11, if the robbery rate increases to 133.40, using trend analysis, the number of patients Dr. Fok will see = enter your response here patients (round your response to two decimal places). Part 4 In year 11, if the robbery rate decreases to 87.6, using trend analysis, the number of patients Dr. Fok will see = enter your response here patients (round your response to two decimal places).
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 |
35 |
33 |
40 |
40 |
42 |
55 |
62 |
54 |
59 |
61 |
|
Robbery Rate per 1,000 Population |
58.0 |
61.1 |
73.0 |
76.1 |
78.5 |
89.5 |
99.6 |
95.4 |
103.2 |
115.6 |
Part 2
The simple linear regression equation that shows the best relationship between the number of patients and the robbery rate is (round your responses to three decimal places):
y =
enter your response here
+
enter your response here
x
where
y = Number of Patients and x = Robbery Rate.
Part 3
In year 11, if the robbery rate increases to
133.40, using trend analysis, the number of patients Dr. Fok will see =
enter your response here
patients (round your response to two decimal places).
Part 4
In year 11, if the robbery rate decreases to
87.6, using trend analysis, the number of patients Dr. Fok will see =
enter your response here
patients (round your response to two decimal places).
![**Title: Analysis of the Relationship Between Robbery Rates and Agoraphobia Patients Treated**
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** | 35 | 33 | 40 | 40 | 42 | 55 | 62 | 54 | 59 | 61 |
| **Robbery Rate per 1,000 Population** | 58.0 | 61.1 | 73.0 | 76.1 | 78.5 | 89.5 | 99.6 | 95.4 | 103.2| 115.6|
**Statistical Analysis**
We aim to determine the relationship between the number of agoraphobia patients treated and the robbery rate using a simple linear regression equation.
The simple linear regression equation that shows the best relationship between the number of patients and the robbery rate is (round your responses to three decimal places):
\[ \hat{y} = \square + \square x \]
where \( \hat{y} \) = Number of Patients and \( x \) = Robbery Rate.
**Predictive Analysis:**
1. **In year 11, if the robbery rate increases to 133.40**, using trend analysis, the number of patients Dr. Fok will see:
\[ \hat{y} = \square \] patients (round your response to two decimal places).
2. **In year 11, if the robbery rate decreases to 87.6**, using trend analysis, the number of patients Dr. Fok will see:
\[ \hat{y} = \square \] patients (round your response to two decimal places).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F135ae681-a644-4164-9b10-2ae2e87534da%2Faab8476e-41bd-4718-a80f-101b565a3c2d%2Fzwn7ce_processed.png&w=3840&q=75)
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