A study provides data on variables that may be related to the number of weeks a manufacturing worker has been jobless. The dependent variable in the study (Weeks) was defined as the number of weeks a worker has been jobless due to a layoff. The following independent variables were used in the study. Age The age of the worker Educ The number of years of education Married A dummy variable; 1 if married, 0 otherwise Head A dummy variable; 1 if head of household, 0 otherwise Tenure The number of years on the previous job Manager A dummy variable; 1 if management occupation, 0 otherwise Sales A dummy variable; 1 if sales occupation, 0 otherwise The data are available in the file named Layoffs.MTW. Develop an estimated regression equation that can be used to predict the number of weeks a worker has been jobless due to a layoff given age, education and marital status of the worker. Develop an estimated regression equation that can be used to predict the number of weeks a worker has been jobless due to a layoff given age, education, marital status and the number of years on the previous job of the worker. Does the addition of the variable in part (b) add significant benefit to the model? Why or why not? Weeks Age Educ Married Head Tenure Manager Sales 37 30 14 1 1 1 0 0 62 27 14 1 0 6 0 0 49 32 10 0 1 11 0 0 73 44 11 1 0 2 0 0 8 21 14 1 1 2 0 0 15 26 13 1 0 7 1 0 52 26 15 1 0 6 0 0 72 33 13 0 1 6 0 0 11 27 12 1 1 8 0 0 13 33 12 0 1 2 0 0 39 20 11 1 0 1 0 0 59 35 7 1 1 6 0 0 39 36 17 0 1 9 1 0 44 26 12 1 1 8 0 0 56 36 15 0 1 8 0 0 31 38 16 1 1 11 0 1 62 34 13 0 1 13 0 0 25 27 19 1 0 8 0 0 72 44 13 1 0 22 0 0 65 45 15 1 1 6 0 0 44 28 17 0 1 3 0 1 49 25 10 1 1 1 0 0 80 31 15 1 0 12 0 0 7 23 15 1 0 2 0 0 14 24 13 1 1 7 0 0 94 62 13 0 1 8 0 0 48 31 16 1 0 11 0 0 82 48 18 0 1 30 0 0 50 35 18 1 1 5 0 0 37 33 14 0 1 6 0 1 62 46 15 0 1 6 0 0 37 35 8 0 1 6 0 0 40 32 9 1 1 13 0 0 16 40 17 1 0 8 1 0 34 23 12 1 1 1 0 0 4 36 16 0 1 8 0 1 55 33 12 1 0 10 0 1 39 32 16 0 1 11 0 0 80 62 15 1 0 16 0 1 19 29 14 1 1 12 0 0 98 45 12 1 0 17 0 0 30 38 15 0 1 6 0 1 22 40 8 1 1 16 0 1 57 42 13 1 0 2 1 0 64 45 16 1 1 22 0 0 22 39 11 1 1 4 0 0 27 27 15 1 0 10 0 1 20 42 14 1 1 6 1 0 30 31 10 1 1 8 0 0 23 33 13 1 1 8 0 0
A study provides data on variables that may be related to the number of weeks a manufacturing worker has been jobless. The dependent variable in the study (Weeks) was defined as the number of weeks a worker has been jobless due to a layoff. The following independent variables were used in the study. Age The age of the worker Educ The number of years of education Married A dummy variable; 1 if married, 0 otherwise Head A dummy variable; 1 if head of household, 0 otherwise Tenure The number of years on the previous job Manager A dummy variable; 1 if management occupation, 0 otherwise Sales A dummy variable; 1 if sales occupation, 0 otherwise The data are available in the file named Layoffs.MTW. Develop an estimated regression equation that can be used to predict the number of weeks a worker has been jobless due to a layoff given age, education and marital status of the worker. Develop an estimated regression equation that can be used to predict the number of weeks a worker has been jobless due to a layoff given age, education, marital status and the number of years on the previous job of the worker. Does the addition of the variable in part (b) add significant benefit to the model? Why or why not? Weeks Age Educ Married Head Tenure Manager Sales 37 30 14 1 1 1 0 0 62 27 14 1 0 6 0 0 49 32 10 0 1 11 0 0 73 44 11 1 0 2 0 0 8 21 14 1 1 2 0 0 15 26 13 1 0 7 1 0 52 26 15 1 0 6 0 0 72 33 13 0 1 6 0 0 11 27 12 1 1 8 0 0 13 33 12 0 1 2 0 0 39 20 11 1 0 1 0 0 59 35 7 1 1 6 0 0 39 36 17 0 1 9 1 0 44 26 12 1 1 8 0 0 56 36 15 0 1 8 0 0 31 38 16 1 1 11 0 1 62 34 13 0 1 13 0 0 25 27 19 1 0 8 0 0 72 44 13 1 0 22 0 0 65 45 15 1 1 6 0 0 44 28 17 0 1 3 0 1 49 25 10 1 1 1 0 0 80 31 15 1 0 12 0 0 7 23 15 1 0 2 0 0 14 24 13 1 1 7 0 0 94 62 13 0 1 8 0 0 48 31 16 1 0 11 0 0 82 48 18 0 1 30 0 0 50 35 18 1 1 5 0 0 37 33 14 0 1 6 0 1 62 46 15 0 1 6 0 0 37 35 8 0 1 6 0 0 40 32 9 1 1 13 0 0 16 40 17 1 0 8 1 0 34 23 12 1 1 1 0 0 4 36 16 0 1 8 0 1 55 33 12 1 0 10 0 1 39 32 16 0 1 11 0 0 80 62 15 1 0 16 0 1 19 29 14 1 1 12 0 0 98 45 12 1 0 17 0 0 30 38 15 0 1 6 0 1 22 40 8 1 1 16 0 1 57 42 13 1 0 2 1 0 64 45 16 1 1 22 0 0 22 39 11 1 1 4 0 0 27 27 15 1 0 10 0 1 20 42 14 1 1 6 1 0 30 31 10 1 1 8 0 0 23 33 13 1 1 8 0 0
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Question
- A study provides data on variables that may be related to the number of weeks a manufacturing worker has been jobless. The dependent variable in the study (Weeks) was defined as the number of weeks a worker has been jobless due to a layoff. The following independent variables were used in the study.
Age The age of the worker
Educ The number of years of education
Married A dummy variable; 1 if married, 0 otherwise
Head A dummy variable; 1 if head of household, 0 otherwise
Tenure The number of years on the previous job
Manager A dummy variable; 1 if management occupation, 0 otherwise
Sales A dummy variable; 1 if sales occupation, 0 otherwise
The data are available in the file named Layoffs.MTW.
- Develop an estimated regression equation that can be used to predict the number of weeks a worker has been jobless due to a layoff given age, education and marital status of the worker.
- Develop an estimated regression equation that can be used to predict the number of weeks a worker has been jobless due to a layoff given age, education, marital status and the number of years on the previous job of the worker.
- Does the addition of the variable in part (b) add significant benefit to the model? Why or why not?
Weeks | Age | Educ | Married | Head | Tenure | Manager | Sales |
37 | 30 | 14 | 1 | 1 | 1 | 0 | 0 |
62 | 27 | 14 | 1 | 0 | 6 | 0 | 0 |
49 | 32 | 10 | 0 | 1 | 11 | 0 | 0 |
73 | 44 | 11 | 1 | 0 | 2 | 0 | 0 |
8 | 21 | 14 | 1 | 1 | 2 | 0 | 0 |
15 | 26 | 13 | 1 | 0 | 7 | 1 | 0 |
52 | 26 | 15 | 1 | 0 | 6 | 0 | 0 |
72 | 33 | 13 | 0 | 1 | 6 | 0 | 0 |
11 | 27 | 12 | 1 | 1 | 8 | 0 | 0 |
13 | 33 | 12 | 0 | 1 | 2 | 0 | 0 |
39 | 20 | 11 | 1 | 0 | 1 | 0 | 0 |
59 | 35 | 7 | 1 | 1 | 6 | 0 | 0 |
39 | 36 | 17 | 0 | 1 | 9 | 1 | 0 |
44 | 26 | 12 | 1 | 1 | 8 | 0 | 0 |
56 | 36 | 15 | 0 | 1 | 8 | 0 | 0 |
31 | 38 | 16 | 1 | 1 | 11 | 0 | 1 |
62 | 34 | 13 | 0 | 1 | 13 | 0 | 0 |
25 | 27 | 19 | 1 | 0 | 8 | 0 | 0 |
72 | 44 | 13 | 1 | 0 | 22 | 0 | 0 |
65 | 45 | 15 | 1 | 1 | 6 | 0 | 0 |
44 | 28 | 17 | 0 | 1 | 3 | 0 | 1 |
49 | 25 | 10 | 1 | 1 | 1 | 0 | 0 |
80 | 31 | 15 | 1 | 0 | 12 | 0 | 0 |
7 | 23 | 15 | 1 | 0 | 2 | 0 | 0 |
14 | 24 | 13 | 1 | 1 | 7 | 0 | 0 |
94 | 62 | 13 | 0 | 1 | 8 | 0 | 0 |
48 | 31 | 16 | 1 | 0 | 11 | 0 | 0 |
82 | 48 | 18 | 0 | 1 | 30 | 0 | 0 |
50 | 35 | 18 | 1 | 1 | 5 | 0 | 0 |
37 | 33 | 14 | 0 | 1 | 6 | 0 | 1 |
62 | 46 | 15 | 0 | 1 | 6 | 0 | 0 |
37 | 35 | 8 | 0 | 1 | 6 | 0 | 0 |
40 | 32 | 9 | 1 | 1 | 13 | 0 | 0 |
16 | 40 | 17 | 1 | 0 | 8 | 1 | 0 |
34 | 23 | 12 | 1 | 1 | 1 | 0 | 0 |
4 | 36 | 16 | 0 | 1 | 8 | 0 | 1 |
55 | 33 | 12 | 1 | 0 | 10 | 0 | 1 |
39 | 32 | 16 | 0 | 1 | 11 | 0 | 0 |
80 | 62 | 15 | 1 | 0 | 16 | 0 | 1 |
19 | 29 | 14 | 1 | 1 | 12 | 0 | 0 |
98 | 45 | 12 | 1 | 0 | 17 | 0 | 0 |
30 | 38 | 15 | 0 | 1 | 6 | 0 | 1 |
22 | 40 | 8 | 1 | 1 | 16 | 0 | 1 |
57 | 42 | 13 | 1 | 0 | 2 | 1 | 0 |
64 | 45 | 16 | 1 | 1 | 22 | 0 | 0 |
22 | 39 | 11 | 1 | 1 | 4 | 0 | 0 |
27 | 27 | 15 | 1 | 0 | 10 | 0 | 1 |
20 | 42 | 14 | 1 | 1 | 6 | 1 | 0 |
30 | 31 | 10 | 1 | 1 | 8 | 0 | 0 |
23 | 33 | 13 | 1 | 1 | 8 | 0 | 0 |
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