Dr. Lillian Fok, a New Orleans psychologist, specializes in treating patients wh
ID: 3205497 • Letter: D
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
36
34
40
42
41
55
62
55
59
61
Robbery Rate per 1,000 Population
58.0
60.6
73.4
75.2
81.1
89.0
99.6
94.8
102.2
116.2
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 = ___ + ___x
Using linear regression, the number of patients Dr. Fok will see in year 11 = ___?patients (round your response to two decimal places).
Using linear regression, the number of patients Dr. Fok will see in year 12 =___?patients (round your response to two decimal places).
The coefficient of determination (r squaredr2) for the linear regression model is 0.8512, This shows that there isstrong or not so strong relationship between the "Number of Patients" and "Year."?
Year
1
2
3
4
5
6
7
8
9
10
Number of Patients
36
34
40
42
41
55
62
55
59
61
Robbery Rate per 1,000 Population
58.0
60.6
73.4
75.2
81.1
89.0
99.6
94.8
102.2
116.2
Explanation / Answer
y=30.2+3.327x
y(11)=30.2+3.327*11=66.8
y(12)=30.2+3.327*12=70.127
R^2=0.8512=
Hence r=sqrt(0.8512)=0.9226
Hence there is a significance relationship between the number of patients and year
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