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

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 77<br />

three variables: number of U.S. employees; number of training hours per year per<br />

employee; <strong>and</strong> total revenue in millions of dollars.<br />

Company U.S. Employees Training Hr/Yr Revenues<br />

Southwest Airlines 24,757 15 $3,400<br />

Kingston Technology 552 100 $1,300<br />

SAS Institute 3,154 32 $653<br />

Fel-Pro 2,577 60 $450<br />

TD Industries 976 40 $127<br />

MBNA 18,050 48 $3,300<br />

W.L. Gore 4,118 27 $1,200<br />

Microsoft 14,936 8 $8,700<br />

To better underst<strong>and</strong> these companies, we might be interested in the relationship<br />

between number of U.S. employees <strong>and</strong> revenue <strong>and</strong> between training hours <strong>and</strong> U.S.<br />

employees. To construct these scatter diagrams, we can use the following steps:<br />

Step 1 Identify the two variables of interest.<br />

In the first case, one variable is U.S. employees <strong>and</strong> the second is revenue.<br />

In the second case, one variable is training hours <strong>and</strong> the other is<br />

U.S. employees.<br />

Step 2 Identify the dependent <strong>and</strong> independent variables.<br />

In each case, think of U.S. employees as the independent (x) variable. Thus,<br />

Case 1: y revenue (vertical axis)<br />

Case 2: y training hours<br />

(vertical axis)<br />

x U.S. employees<br />

(horizontal axis)<br />

x U.S. employees<br />

(horizontal axis)<br />

Step 3 Establish the scales for the vertical <strong>and</strong> horizontal axes.<br />

The maximum value for each variable is<br />

revenue $8,700 U.S. employees 24,757 training hours 100<br />

Step 4 Plot the joint values for the two variables by placing a point in the<br />

x, y space.<br />

$10,000<br />

$9,000<br />

Scatter Diagram<br />

Revenue (Millions)<br />

$8,000<br />

$7,000<br />

$6,000<br />

$5,000<br />

$4,000<br />

$3,000<br />

$2,000<br />

$1,000<br />

General Positive Relationship<br />

0<br />

0<br />

5,000<br />

10,000<br />

15,000<br />

U.S. Employees<br />

20,000<br />

25,000<br />

30,000

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