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%

orchestra answered 1 year ago

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