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# 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...

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 49 21 65 47 33
a. Develop a scatter diagram for these data with the percentage of women working in the company as the independent variable.
b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
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.
d. Develop the estimated regression equation by computing the values of b(o) and b(1).
e. Predict the percentage of management jobs held b women in a company that has 60% women employees.

Problem 17. The data from exercise 3 follow
ᵡ1 2 6 9 13 20
ᵞ1 7 18 9 26 23
The estimated regression equation for these data is Ὗ=7.6 +.9ᵪ. What percentage of the total sum of squares can be accounted for by the estimated regression equation? What is the value of the sample correlation coefficient?

The solution is... View the full answer

a
% working % mgmt
67
45
73
54
61 49
21
65
47
33 70
60 f(x) = 1.3x - 35
R² = 0.7242857143 50
40
30
20
10
0
40 45 b
the scatterplot shows that both varaibles are positively related.
c
we have an...

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