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please answer all parts and show work in excel Dr. Lillian Fok, a New Orleans ps

ID: 353025 • Letter: P

Question

  please answer all parts and show work in excel

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

3636

3232

4040

4040

4242

5656

6262

5555

5757

6060

Robbery Rate per 1,000 Population

58.358.3

61.461.4

73.073.0

76.176.1

81.181.1

89.589.5

101.1101.1

94.894.8

103.2103.2

117.2117.2

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):

                                               

ModifyingAbove y with carety

=

nothing

+

nothingx

where

ModifyingAbove y with carety

= Dependent Variable and x = Independent Variable.

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,36,32,40,40,42,56,62,55,57,60

Year

1

2

3

4

5

6

7

8

9

10

Number of Patients

3636

3232

4040

4040

4242

5656

6262

5555

5757

6060

Robbery Rate per 1,000 Population

58.358.3

61.461.4

73.073.0

76.176.1

81.181.1

89.589.5

101.1101.1

94.894.8

103.2103.2

117.2117.2

Secure https://www.mathxl.com/Student/PlayerHomework.aspx?homeworkld-472996141&questionid;=3&flushedefalse;&cld-4912944;&centerwinsyes; MANAGEMENT OF OPERATIONS (1) Vincent Amoia 3/22/18 2:43 PM Homework: Homework 4 Score: 0 of 1 pt Problem 4.30 Save 6 of 10 (6 complete) Hw Score: 50%, 5 of 10 pts Question Help 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: 10 60 Year Number of Patients Robbery Rate per 1,000 Population 36 32 40 56 57 58.361.4 73.0 76.1 81.1 89.5 101.1 94.8 103.2 117.2 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 8.2451.611 where y Dependent Variable and x-Independent Variable Enter your answer in the edit fields and then click Check Answer. Clear All Final Check remaining

Explanation / Answer

As understood , we have to solve the problem related to Dr. Fok and his patients ( since problem related to Number of patients and robbery rate per 1000 population ) .

The details of years and corresponding number of patients seen by Dr Fok are given below :

Year,1,2,3,4,5,6,7,8,9,10
Number of Patients,36,32,40,40,42,56,62,55,57,60

Let the linear regression equation is :

Y = a + b.X

Where,

X ( independent variable ) = Serial number of year

Y ( Dependent variable ) = Number of patients

a,b are constants

We place serial number of year and corresponding number of patients in two parallel columns in excel and apply the formula LINEST ( ) to get values of a and b.

Accordingly the values are :

A = 29.8

B = 3.309

Therefore ,

Y = 29.8 + 3.309.X

THE LINEAR REGRESSION EQUATION IS Y = 29.8 + 3.309.X

THE LINEAR REGRESSION EQUATION IS Y = 29.8 + 3.309.X