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 23 64 45 33 (a) Develop a scatter diagram for these data with the percentage of women working in the company as the independent variable. 70 60 50 E 40 30 20+ 10 O 70 60 50- 40 30 20 10 ● 45 50 55 60 % Working . 65 70 75 . 45 50 • 55 60 65 70 % Working 75 O 70- 60- 50 40 30 20+ 10- • 45 50 55 60 % Working 65 70 75 70 60 50 40 30 20 10 ● 45 (b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? 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. 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. 50 ● 55 60 % Working 65 70 75
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 23 64 45 33 (a) Develop a scatter diagram for these data with the percentage of women working in the company as the independent variable. 70 60 50 E 40 30 20+ 10 O 70 60 50- 40 30 20 10 ● 45 50 55 60 % Working . 65 70 75 . 45 50 • 55 60 65 70 % Working 75 O 70- 60- 50 40 30 20+ 10- • 45 50 55 60 % Working 65 70 75 70 60 50 40 30 20 10 ● 45 (b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? 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. 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. 50 ● 55 60 % Working 65 70 75
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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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
% Management 50 23 64 45 33
% Management
(a) Develop a scatter diagram for these data with the percentage of women working in the company as the independent variable.
70+
60
70+
60
50
50
40
40
30
30
20
20
10
10
45
67 45 73
50
●
55
●
60
Working
54 61
●
+
65 70 75
45
50
●
55 60
% Working
●
65 70
75
70
60
50
40
30
20
10
●
45
50 55 60
% Working
65 70
75
O
70+
60
50
40
30
20
10
(b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
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.
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.
●
45
50
55 60
% Working
65
●
70
75
Transcribed Image Text:(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
60
50
40
30
20
10-
% Management
70
60
50
40
30
20
10
ŷ =
45
●
+
50 55 60 65 70 75
% Working
% Management
45
(d) Develop the estimated regression equation by computing the values of bo and b₁.
0
50
55 60
% Working
65 70 75
O
% Management
70
60
50
40
30
20
10
45
50 55 60 65 70 75
% Working
(e) Predict the percentage of management jobs held by women in a company that has 62% women employees. Round your answer to one decimal place.
%
@O
% Management
70
60
50
40
30
20
10
45
50 55 60
% Working
65
70 75
O
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