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 (b) Find the value of the coefficient of determination. (c) Based on the coefficient of determination, would this equation be useful for predicting annual sales? Simply type 'yes' or 'no'. (d) Find the value of Syx.
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 (b) Find the value of the coefficient of determination. (c) Based on the coefficient of determination, would this equation be useful for predicting annual sales? Simply type 'yes' or 'no'. (d) Find the value of Syx.
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
|
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 |
(b) Find the value of the coefficient of determination.
(c) Based on the coefficient of determination, would this equation be useful for predicting annual sales? Simply type 'yes' or 'no'.
(d) Find the value of Syx.
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