Question

In: Statistics and Probability

The following data give the percentage of women working in five companies in the retail and...

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 68 46 74 55 61
%Management 50 22 66 47 33

Develop the estimated regression equation by computing the values b 0 and b 1.

Enter negative values as negative numbers. Round your answer for the intercept to one decimal place, and your answer for the slope to two decimal places.
= + x

e. Predict the percentage of management jobs held by women in a company that has 60% women employees. Round your answer to a whole percentage.
%

Solutions

Expert Solution

y: percentage of management jobs held by women

x: percentage of women working

Estimated Regression equation

n : sample size : Number of companies =5

x: percentage of women

working

y: percentage of management

jobs held by women

xy
68 50 3400 4624
46 22 1012 2116
74 66 4884 5476
55 47 2585 3025
61 33 2013 3721
=304 =218 =13894 =18962

Estimated Regression equation

e. Predict the percentage of management jobs held by women in a company that has 60% women employees.

Substitute x = 60 to get the value of Predicted percentage of management jobs held by women

Answer :

43%


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