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Chapter 2: Graphs, Charts, and Tables--Describing Your Data

Chapter 2: Graphs, Charts, and Tables--Describing Your Data

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CHAPTER 2 • GRAPHS, CHARTS, AND TABLES—DESCRIBING YOUR DATA 79<br />

between the independent <strong>and</strong> dependent variables<br />

by deleting the data point with the smallest<br />

x-value. What appears to be the relationship<br />

between the dependent <strong>and</strong> independent variables?<br />

2-50. The district manager for a corporation has collected<br />

the following data on annual sales <strong>and</strong> the<br />

years of experience of members of his sales staff:<br />

Sales $K: 200 191 135 236 305 183 50 192 184 73<br />

Years: 10 4 5 9 12 6 2 7 6 2<br />

a. Construct a scatter plot representing these data.<br />

b. Determine the kind of relationship that exists<br />

(if any) between years of experience <strong>and</strong><br />

sales.<br />

c. Approximate the increase in sales that accrues<br />

with each additional year of experience for a<br />

member of the salesforce.<br />

Business Applications<br />

2-51. In July 2005, Greg S<strong>and</strong>oval of the Associated<br />

Press authored a study of the video game<br />

industry that focused on the efforts of the<br />

industry to interest women in the games.<br />

In that study, he cited another report by the<br />

Entertainments Software Association that<br />

indicated the percentage of women who play<br />

video games in 2004 was 43% while only<br />

12.5% of the software developers were female.<br />

S<strong>and</strong>oval also presented the following data<br />

showing the U.S. computer/video game<br />

sales:<br />

Year<br />

Sales (Billions)<br />

1996 $3.80<br />

1997 $4.30<br />

1998 $5.70<br />

1999 $6.10<br />

2000 $6.00<br />

2001 $6.30<br />

2002 $6.95<br />

2003 $7.00<br />

2004 $7.30<br />

Construct a line chart showing these<br />

computer/video game sales data. Write a short<br />

statement describing the graph.<br />

2-52. Recent changes in the U.S. federal tax code have<br />

increased the popularity of dividend-paying stocks<br />

for some investors. Shown here are the diluted net<br />

earnings per common share <strong>and</strong> the dividends per<br />

common share for the Procter & Gamble Company<br />

for the years 1996–2005. (Source: 2005 P&G<br />

Annual Report.)<br />

Diluted Net Earnings Dividends per<br />

Year per Common Share Common Share<br />

1996 $1.00 $0.40<br />

1997 $1.14 $0.45<br />

1998 $1.28 $0.51<br />

1999 $1.29 $0.57<br />

2000 $1.23 $0.64<br />

2001 $1.03 $0.70<br />

2002 $1.54 $0.76<br />

2003 $1.85 $0.82<br />

2004 $2.32 $0.93<br />

2005 $2.66 $1.03<br />

a. Construct a line chart of diluted net earnings<br />

per common share for the years 1996–2005.<br />

b. Construct a line chart of dividends per common<br />

share for the years 1996–2005.<br />

c. Construct a chart that can be used to determine<br />

whether there is a relationship between the two<br />

variables for the years 1996–2005. What relationship,<br />

if any, appears to exist between the<br />

two variables?<br />

2-53. Amazon.com celebrated its 10th anniversary in<br />

July 2005. Its growth can be seen by examining its<br />

increasing sales volume (in $billions) as reported<br />

by Hoovers Inc.<br />

Sales 0.0005 0.0157 0.1477 0.6098 1.6398<br />

Year 1995 1996 1997 1998 1999<br />

Sales 2.7619 3.1229 3.9329 5.2637 6.9211<br />

Year 2000 2001 2002 2003 2004<br />

a. Construct a line plot for Amazon’s sales.<br />

b. Describe the type of relationship that exists<br />

between the years in business <strong>and</strong> Amazon’s<br />

sales volume.<br />

c. In which year does it appear that Amazon had<br />

the sharpest increase in sales?<br />

2-54. Business Week (Reed, Stanley, et al., “Open Season on<br />

Big Oil,” September 26, 2005) reported on data provided<br />

by A. G. Edwards & Sons concerning the profits<br />

($billions) for 10 of the largest integrated oil <strong>and</strong><br />

gas companies over the period from 1999 to 2005.<br />

Year 1999 2000 2001 2002 2003 2004 2005<br />

Profit 33.3 62.5 58.3 41.7 66.7 91.7 118.0

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