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 Number of Patients Robbery Rate per 1,000 Population 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): 1 37 57.8 2 32 61.1 3 4 41 42 73.4 75.2 where y = Dependent Variable and x = Independent Variable. Using linear regression, the number of patients Dr. Fok will see in year 11 = Using linear regression, the number of patients Dr. Fok will see in year 12 = 5 42 78.5 X 6 7 8 9 10 54 58 53 57 61 89.5 99.6 94.2 102.2 116.2 patients (round your response to two decimal places). patients (round your response to two decimal places). The coefficient of determination for the linear regression model is 0.8714. This shows that there is a and "Year." strong relationship between the "Number of Patients" not so strong
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 Number of Patients Robbery Rate per 1,000 Population 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): 1 37 57.8 2 32 61.1 3 4 41 42 73.4 75.2 where y = Dependent Variable and x = Independent Variable. Using linear regression, the number of patients Dr. Fok will see in year 11 = Using linear regression, the number of patients Dr. Fok will see in year 12 = 5 42 78.5 X 6 7 8 9 10 54 58 53 57 61 89.5 99.6 94.2 102.2 116.2 patients (round your response to two decimal places). patients (round your response to two decimal places). The coefficient of determination for the linear regression model is 0.8714. This shows that there is a and "Year." strong relationship between the "Number of Patients" not so strong
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Question
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
|
37
|
32
|
41
|
42
|
42
|
54
|
58
|
53
|
57
|
61
|
|
Robbery Rate per 1,000 Population
|
57.8
|
61.1
|
73.4
|
75.2
|
78.5
|
89.5
|
99.6
|
94.2
|
102.2
|
116.2
|
Part 2
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):
y
=
enter your response here
+
enter your response herex
where
y
= Dependent Variable and x = Independent Variable.Part 3
Using linear
regression,
the number of patients Dr. Fok will see in year
11
=
enter your response here
patients (round your response to two decimal places).Part 4
Using linear
regression,
the number of patients Dr. Fok will see in year
12
=
enter your response here
patients (round your response to two decimal places).Part 5
The coefficient of determination for the linear regression model is
relationship between the "Number of Patients" and "Year."
0.8714.
This shows that there is a
▼
strong
not so strong
![**Dr. Lillian Fok's Patient Data and Robbery Rates in New Orleans**
**Introduction:**
Dr. Lillian Fok, a New Orleans psychologist, specializes in treating patients who suffer from agoraphobia, a condition characterized by the fear of leaving one's home. The table below displays the number of patients Dr. Fok has seen each year over the past 10 years, along with the robbery rate per 1,000 population in New Orleans during the same period.
**Data Table:**
| **Year** | **1** | **2** | **3** | **4** | **5** | **6** | **7** | **8** | **9** | **10** |
|----------|-------|-------|-------|-------|-------|-------|-------|-------|-------|--------|
| **Number of Patients** | 37 | 32 | 41 | 42 | 42 | 54 | 58 | 53 | 57 | 61 |
| **Robbery Rate per 1,000 Population** | 57.8 | 61.1 | 73.4 | 75.2 | 78.5 | 89.5 | 99.6 | 94.2 | 102.2 | 116.2 |
**Linear Regression Equation:**
The simple linear regression equation that indicates the best relationship between the number of patients and the year is shown below (round your responses to three decimal places):
\[ \hat{y} = [\ \ \ ] + [\ \ \ ]x \]
where:
- \( \hat{y} \) = Dependent Variable (Number of Patients)
- \( x \) = Independent Variable (Year)
**Predictive Analysis:**
- **Year 11 Prediction:**
Using linear regression, the number of patients Dr. Fok will see in year 11 is **\[\ \ \ ]** patients (round your response to two decimal places).
- **Year 12 Prediction:**
Using linear regression, the number of patients Dr. Fok will see in year 12 is **\[\ \ \ ]** patients (round your response to two decimal places).
**Coefficient of Determination:**
The coefficient of determination for the linear regression model is **0.8714**. This indicates that there is a **strong** relationship between the "Number of Patients" and "Year](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F135ae681-a644-4164-9b10-2ae2e87534da%2Ffe5e45da-cc83-49ce-8e0b-62b513bec785%2F4phocsh_processed.png&w=3840&q=75)
Transcribed Image Text:**Dr. Lillian Fok's Patient Data and Robbery Rates in New Orleans**
**Introduction:**
Dr. Lillian Fok, a New Orleans psychologist, specializes in treating patients who suffer from agoraphobia, a condition characterized by the fear of leaving one's home. The table below displays the number of patients Dr. Fok has seen each year over the past 10 years, along with the robbery rate per 1,000 population in New Orleans during the same period.
**Data Table:**
| **Year** | **1** | **2** | **3** | **4** | **5** | **6** | **7** | **8** | **9** | **10** |
|----------|-------|-------|-------|-------|-------|-------|-------|-------|-------|--------|
| **Number of Patients** | 37 | 32 | 41 | 42 | 42 | 54 | 58 | 53 | 57 | 61 |
| **Robbery Rate per 1,000 Population** | 57.8 | 61.1 | 73.4 | 75.2 | 78.5 | 89.5 | 99.6 | 94.2 | 102.2 | 116.2 |
**Linear Regression Equation:**
The simple linear regression equation that indicates the best relationship between the number of patients and the year is shown below (round your responses to three decimal places):
\[ \hat{y} = [\ \ \ ] + [\ \ \ ]x \]
where:
- \( \hat{y} \) = Dependent Variable (Number of Patients)
- \( x \) = Independent Variable (Year)
**Predictive Analysis:**
- **Year 11 Prediction:**
Using linear regression, the number of patients Dr. Fok will see in year 11 is **\[\ \ \ ]** patients (round your response to two decimal places).
- **Year 12 Prediction:**
Using linear regression, the number of patients Dr. Fok will see in year 12 is **\[\ \ \ ]** patients (round your response to two decimal places).
**Coefficient of Determination:**
The coefficient of determination for the linear regression model is **0.8714**. This indicates that there is a **strong** relationship between the "Number of Patients" and "Year
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