Question

Dr. Lillian Fok, a New Orleans psychologists, specializes in treating patients who are agoraphobic (i.e., afraid to leave their homes.) The following table indicates how many patients Dr. Fok as 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 Robbery Rate per /1,000 population	35 58.3	32 61.1	39 73.4	41 75.7	41 81.5	54 89.5	58 101.5	54 94.8	58 104.1	60 115.6

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):

A)

^Y= _____+_____x

Where ^Y= Dependent Variable and x =Independent Variable.

B)

Using linear regression, the number of patients Dr. Fok will see in year 11=_______patients (round your response to two decimal places).

C)

Using linear regression, the number of patients Dr. Fok will see in year 12=_______patients (round your response to two decimal places).

D) How well does the model fit the data?

Answer 1

This problem can be solved using linear regression calculator (available online)

A)

y = 3.31 + 29

B)

y = 65.41

C)

y = 68.72

D) The data is somewhat not fitting in the model. Given data is not constantly increasing so we cannot make a proper straight line. But by calculating mean data we can develop approx linear regression.