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The managers of a brokerage firm are interested in finding out if the number of new clients a broker brings into the firm affects the sales generated by the broker.  For the last year, the managers sampled 16 brokers and determined the number of new clients they enrolled during that year and their sales amounts in millions of dollars for that year.  This data is presented in the table that follows.  In your answers, sales should be left as a decimal as in the data table.  It is not necessary to multiply by one million dollars. Perform a simple linear regression analysis of this data and answer the following questions.  Suggestion: Read all of the questions before doing any analysis. Broker New Clients Sales 1 27 5.32 2 11 3.44 3 42 7.96 4 33 6.62 5 15 4.06 6 15 3.16 7 25 4.9 8 36 6.84 9 28 5.8 10 30 5.84 11 17 3.56 12 22 4.58 13 18 3.7 14 24 5.34 15 35 6.9 16 40 7.56

The managers of a brokerage firm are interested in finding out if the number of new clients a broker brings into the firm affects the sales generated by the broker.  For the last year, the managers sampled 16 brokers and determined the number of new clients they enrolled during that year and their sales amounts in millions of dollars for that year.  This data is presented in the table that follows.  In your answers, sales should be left as a decimal as in the data table.  It is not necessary to multiply by one million dollars. Perform a simple linear regression analysis of this data and answer the following questions.  Suggestion: Read all of the questions before doing any analysis. Broker New Clients Sales 1 27 5.32 2 11 3.44 3 42 7.96 4 33 6.62 5 15 4.06 6 15 3.16 7 25 4.9 8 36 6.84 9 28 5.8 10 30 5.84 11 17 3.56 12 22 4.58 13 18 3.7 14 24 5.34 15 35 6.9 16 40 7.56

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The managers of a brokerage firm are interested in finding out if the number of new clients a broker brings into the firm affects the sales generated by the broker.  For the last year, the managers sampled 16 brokers and determined the number of new clients they enrolled during that year and their sales amounts in millions of dollars for that year.  This data is presented in the table that follows.  In your answers, sales should be left as a decimal as in the data table.  It is not necessary to multiply by one million dollars.

Perform a simple linear regression analysis of this data and answer the following questions.  Suggestion: Read all of the questions before doing any analysis.

Broker

New Clients

Sales

1

27

5.32

2

11

3.44

3

42

7.96

4

33

6.62

5

15

4.06

6

15

3.16

7

25

4.9

8

36

6.84

9

28

5.8

10

30

5.84

11

17

3.56

12

22

4.58

13

18

3.7

14

24

5.34

15

35

6.9

16

40

7.56
(a) What is the value of the Durbin-Watson Statistic?
(b) Using the Durbin Watson Table, with a level of significance or 0.05, what are the values of dL and dU?
(c) Is there evidence of autocorrelation?  Type 'yes' or 'no' and explain your reasoning.

 

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