10.3

2.

\fThe 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. 0% Working 67 45 73 54 61 4% Management 50 23 65 47 32 (a) Develop a scatter diagram for these data with the percentage of women working in the company as the independent variable. 70 70 70 70 60 60 60 50 50- 50 40 Management 40 % Management 40 Management % Management 30 30 30 20 20 20 10 10 10 10 45 50 60 65 70 75 45 50 55 60 70 45 50 55 60 65 70 75 45 50 55 60 65 70 75 O * Working * Working Working * Working A (b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? O There appears to be a negative linear relationship between the percentage of women working in the five companies and the percentage of management jobs held by women in each company. There appears to be a positive linear relationship between the percentage of women working in the five companies and the percentage of management jobs held by women in each company. O There appears to be no noticeable relationship between the percentage of women working in the five companies and the percentage of management jobs held by women in each company. (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. 70 70 70 60 60 60 50 Silzontal 50- 50 80 40 Jes from 10 to Do and is taber not The Brandes from a to 73 and is % Management 40 Management 40 68868 88 % Management 30 30 30 diagram to approximate the relationship between 20+ 20 20 % To o below the life. The firstutte points ant plotted 10 10 to fight in an downward, diagonal direction starting In the point then exter 45 50 55 60 65 70 75 45 50 55 60 65 70 75 45 50 55 60 65 70 75 45 50 55 60 65 70 75 diagonal direction to the rull working Between 23 to 65 on the vertical axis. Working Working " WorkingBrokerage Speed Satisfaction Scottrade, Inc. 3.4 3.5 Charles Schwab 3.3 3.4 Fidelity Brokerage Services 3.4 3.9 TD Ameritrade 3.6 3.7 E*Trade Financial 3.2 2.9 Vanguard Brokerage Services 3.8 2.8 USAA Brokerage Services 3.8 3.6 Thinkorswim 2.6 2.6 Wells Fargo Investments 2.7 2.3 Interactive Brokers 4.0 4.0 Zecco.com 2.5 2.5 (a) Develop a scatter diagram for these data with the speed of execution as the independent variable. 4.5 T 4.5 T 4.5 4.5 T 4.0 4.0 4.0 4.01 3.5- 3.5- Satisfaction 3.5 Satisfaction 3.5- Satisfaction 3.0 Satisfaction 3.0 3.0- 3.0 - 2.5- 2.5- 2.54 2.5- 2.5 3.0 3.5 4.0 4.5 2.5 3.0 3.5 4.0 4.5 2.5 3.0 3.5 4.0 1.5 O Speed of Execution 2.5 3.0 3.5 4.0 4.5 Speed of Execution Speed of Execution Speed of ExecutionHome Landscaping Value Expenditures ($1,000) ($1,000) 241 8.2 322 10.7 197 12.1 340 16.3 300 15.7 400 18.8 800 23.5 200 9.5 522 17.5 548 22.0 436 12.2 463 13.5 635 17.8 357 13.8 (a) Develop a scatter diagram with home value as the independent variable. 900 25 900 25 800 800 700 20 700 20 600 500 15 600 500 15 Landscaping Expenditures ($1,000) Home Value ($1,000) Home Value ($1,000) Landscaping Expenditures ($1,000) 400 10 400 10 300 300 200 200 5 100 100 0 o 10 15 20 25 0 100 200 300 400 500 600 700 800 900 5 10 15 20 25 100 200 300 400 500 600 700 800 900 O Landscaping Expenditures ($1,000) AO Home Value ($1,000) Landscaping Expenditures ($1,000) FO Home Value ($1,000) AAdjusted Gross Income Itemized Deductions ($1,000s) ($1,000s) 22 9.6 27 9.6 32 10.1 48 11.1 65 15.5 85 15.7 120 27.5 (a) Develop a scatter diagram for these data with adjusted gross income as the independent variable. 30 30 30 25 25 25 20 20 20 Itemized Deductions ($1,000s) 15 Itemized Deductions ($1,000s) 15 Itemized Deductions ($1,000s) 15 Itemized Deductions ($1,000s) 10 10- .. . 10 5 ... 5 20 40 60 80 100 120 140 0 20 40 60 80 100 120 140 20 40 60 80 100 120 140 20 40 60 80 100 120 140 O Adjusted Gross Income ($1,000s) Adjusted Gross Income ($1,000s) Adjusted Gross Income ($1,000s) Adjusted Gross Income ($1,000s)2 9 13 20 16 25 212 13 20 19 11 24 22Production Volume Total Cost (units) ($) 400 4,100 450 5,100 550 5,500 600 5,800 700 5,400 750 5,900