In: Statistics and Probability
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.
%
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%