Question

The following data given the percentage of women working in five companies in the retaul and trade industry. The percentage of management jobs held by women in each company is also shown. % Working 67 45 73 54 61 % 49 21 65 47 33 Management 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. Develop a least square equation to approximate the relationship between the percentage of women working in the company and the percentage of management jobs held by women in the company. d. Predict the percentage of management jobs held by women in a company that has 60% women employees.

Answer 1

b) therebis linear relationship between these two variables and they are positively correlated with correlation coefficient 0.85.

Sol % working 7 Management Given data : 67 49 45 21 73 65 54 47 61 33 let - managemeul a :) Working woment Y 1 % of managemaul- job& the regression equation is Let (i - the y=xt Bate estimated regression equation is ſ = Ž (ai -1) (91-9) 6 ♡ where & Fare estimated , d = y ſa P T Ž (xi-72 J On solving using egn ③ we get the value of â - - 35.0 P = 1-3 the estimated regression equation is - y = - 35.0 + 1.30 where ł - 60 ý = 43 9 = - 35.0 + 1.3 X 60 ŷ F 43 %

a) scatter plot x= working, y= management

60 50 у 40 30 а 1 5 Но 45 50 55 60 65 70