Answered Essay: 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 w

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:

Observation 1 2 3   4 5 6 7 8 9 10
Year 1 2 3   4 5 6 7 8 9 10

Number of Patients   35   32   41   40   42   55   60   55   57   60

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):

Expert Answer

 

Let the linear regression equation be :

Y = a + b.t

Where,

Y = Forecast value of number of patients

T = numerical value of year ( e.g. 1,2,3,4,5,6,7,8,9 and 10)

A, b = constants

We place values “Years” and “Number of Patients” in two different columns in excel sheet

Subsequently we apply the formula LINEX ( ) in excel , which gives following values :

a =   29.6

b = 3.29

Therefore ,

Y = a + bt= 29.6 + 3.29.t

The simple linear equation that shows the best relationship between the number of patients and year is :

Y = 29.6+ 3.29.T

THE REQUIRED SIMPLE LINEAR EQUANTION : y = 29.6 + 3.29.
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