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	35	33	39	40	42	56	58	55	58	61
Robbery Rate per​1,000 Population	58.3	60.6	72.6	75.2	81.5	88.6	99.6	94.8	102.2	115.6

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):

                                               

ModifyingAbove y =?+?x

where

ModifyingAbove y​= Dependent Variable and x​ = Independent Variable.

Answer 1

Here, we are to find the regression equation between the number of patients (y) and year (x).

So, for this part of the question, we will ignore the Robbery data.

Following shows the calculation for the intercept and slope.

So, the regression equation is written as:

y = 29.133 + 3.376 x