The following data give the percentage of women working in five companies in the retail and trade industry. The percentage of management jobs held by women in each company is also shown. 67 45 73 54 61 % Working % Management 50 20 63 | 31 (a) Develop a scatter diagram for these data with the percentage of women working in the company as the independent variable. 70 70- 70 70 60 60 60 60 50 50 50 50 40 E 30- * 20 o 40 * 40 40 30- * 20 30 30 20 * 20- 10 10 10 10 45 50 55 60 65 70 75 45 50 55 60 65 70 75 45 50 55 60 65 70 75 45 50 55 60 65 70 75 % Working % Working % Working % Working (b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? O There appears to be no noticeable relationship between the percentage of women working in the five companies and the percentage of management jobs held by women in each company. There appears to be a negative linear relationship between the percentage of women working in the five companies and the percentage of management jobs held by women in each company. O There appears to be a positive linear relationship between the percentage of women working in the five companies and the percentage of management jobs held by women in each company. (e) Try to approximate the relationship between the percentage of women working in the company and the percentage of management jobs held by women in that company. 70 60 70 70 70 60 60 60 50 50- 50 50 40 40 o 40 40 30 30 30 30 20 20 20 20 10 10 10- 10 45 50 55 60 65 70 75 45 50 55 60 65 70 75 45 50 55 60 65 70 75 45 50 55 60 65 70 75 % Working % Working % Working % Working (d) Develop the estimated regression equation by computing the values of bo and b anagement
The following data give the percentage of women working in five companies in the retail and trade industry. The percentage of management jobs held by women in each company is also shown. 67 45 73 54 61 % Working % Management 50 20 63 | 31 (a) Develop a scatter diagram for these data with the percentage of women working in the company as the independent variable. 70 70- 70 70 60 60 60 60 50 50 50 50 40 E 30- * 20 o 40 * 40 40 30- * 20 30 30 20 * 20- 10 10 10 10 45 50 55 60 65 70 75 45 50 55 60 65 70 75 45 50 55 60 65 70 75 45 50 55 60 65 70 75 % Working % Working % Working % Working (b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? O There appears to be no noticeable relationship between the percentage of women working in the five companies and the percentage of management jobs held by women in each company. There appears to be a negative linear relationship between the percentage of women working in the five companies and the percentage of management jobs held by women in each company. O There appears to be a positive linear relationship between the percentage of women working in the five companies and the percentage of management jobs held by women in each company. (e) Try to approximate the relationship between the percentage of women working in the company and the percentage of management jobs held by women in that company. 70 60 70 70 70 60 60 60 50 50- 50 50 40 40 o 40 40 30 30 30 30 20 20 20 20 10 10 10- 10 45 50 55 60 65 70 75 45 50 55 60 65 70 75 45 50 55 60 65 70 75 45 50 55 60 65 70 75 % Working % Working % Working % Working (d) Develop the estimated regression equation by computing the values of bo and b anagement
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter5: A Survey Of Other Common Functions
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Problem 6E: Urban Travel Times Population of cities and driving times are related, as shown in the accompanying...
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Transcribed Image Text:The following data give the percentage of women working in five companies in the retail and trade industry. The percentage of management jobs held by women in each company is also shown.
% Working
67
45
73 54
61
% Management
50
20 63 46
31
(a) Develop a scatter diagram for these data with the percentage of women working in the company as the independent variable.
70
70
70-
70-
60-
60
60
60
50
50-
50
50
40
40-
40
40
30
30
30
30
20
* 20
* 20
* 20
10
10
10
10
45
50
55
60
65
70
75
45
50
55
60
65
70
75
45
50
55
60
65
70
75
45
50
55
60
65
70
75
% Working
% Working
% Working
% Working
(b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
O There appears to be no noticeable relationship between the percentage of women working in the five companies and the percentage of management jobs held by women in each company.
O There appears to be a negative linear relationship between the percentage of women working in the five companies and the percentage of management jobs held by women in each company.
O There appears to be a positive linear relationship between the percentage of women working in the five companies and the percentage of management jobs held by women in each company.
(c) Try to approximate the relationship between the percentage of women working in the company and the percentage of management jobs held by women in that company.
70
70
70
70
60
60-
60-
60
50
0-
50
50-
50
40
40
40
40
30
30
30
30
20
20
20
20
10
10
10
10
45
50
55
60
65
70 75
45
50
55
60
65
70
75
45
50
55
60
65
70
75
45
50
55
60
65
70
75
% Working
% Working
% Working
% Working
(d) Develop the estimated regression equation by computing the values of b, and b,.
(e) Predict the percentage of management jobs held by women in a company that has 60% women employees.
%
% Management
% Management
% Management
% Management
% Management
% Management
% Management
% Management
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