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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 81<br />

2-59. Federal flood insurance underwritten by the federal<br />

government was initiated in 1968. This federal<br />

flood insurance coverage has, according to USA<br />

Today (“How you pay for people to build in flood<br />

zones,” September 21, 2005), more than tripled in<br />

the past 15 years. A file entitled Flood contains the<br />

amount of federal flood insurance coverage for<br />

each of the years from 1990 to 2004.<br />

a. Produce a line plot for these data.<br />

b. Describe the type of relationship between<br />

the year <strong>and</strong> the amount of federal flood<br />

insurance.<br />

c. Determine the average increase per year in<br />

federal flood insurance.<br />

2-60. The Office of Management <strong>and</strong> Budget keeps<br />

data on many facets of corporations. One item<br />

that has become a matter of concern in the<br />

number of applications for patents submitted<br />

compared to the backlog of applications that have<br />

not been processed by the end of the year. A file<br />

entitled Patent provides data extracted from a<br />

USA Today article (Kevin Maney, “Patent<br />

applications so abundant that examiners can’t<br />

catch up,” September 21, 2005) that addresses<br />

the problem.<br />

a. Construct the two line plots on the same<br />

axes.<br />

b. Determine the types of relationship that exist<br />

between the years <strong>and</strong> the two patent-related<br />

variables.<br />

c. During which year(s) did the backlog of applications<br />

at the end of year equal approximately<br />

the same number of patent applications?<br />

2-61. Energy prices have been a major source of economic<br />

<strong>and</strong> political debate in the United States<br />

<strong>and</strong> around the world. Consumers have seen<br />

gasoline prices at the pump rise <strong>and</strong> the impact<br />

of fuel prices has been blamed for economic<br />

problems in the United States at different points<br />

in time. The following data (also found in the<br />

file called Gasoline Prices) reflect the average<br />

price of regular unleaded gasoline in the state of<br />

California for the years between 1970 <strong>and</strong> 2005.<br />

The first price column is the actual average<br />

price of gasoline during each of those years.<br />

The second column is the average price adjusted<br />

for inflation, with 2005 being the base year.<br />

(Note, for each year prior to 2005, the average<br />

gasoline price is adjusted downward to reflect<br />

the inflation adjustment compared to the base<br />

year of 2005.)<br />

a. Construct an appropriate chart showing the<br />

actual average price of gasoline in California<br />

over the years between 1970 <strong>and</strong> 2005.<br />

b. Add to the graph developed in part a the data<br />

for the adjusted gasoline prices.<br />

c. Based on this graph from part b, what conclusions<br />

might be reached about the price of<br />

gasoline over the years between 1970 <strong>and</strong><br />

2005?<br />

Actual<br />

Inflation Adjusted<br />

Year Average Price Price (Base Year 2005)<br />

1970 $0.34 $1.36<br />

1971 $0.36 $1.36<br />

1972 $0.35 $1.27<br />

1973 $0.39 $1.38<br />

1974 $0.53 $1.67<br />

1975 $0.59 $1.69<br />

1976 $0.61 $1.67<br />

1977 $0.65 $1.66<br />

1978 $0.65 $1.57<br />

1979 $0.90 $1.98<br />

1980 $1.23 $2.49<br />

1981 $1.35 $2.50<br />

1982 $1.25 $2.18<br />

1983 $1.12 $1.88<br />

1984 $1.13 $1.83<br />

1985 $1.11 $1.75<br />

1986 $0.87 $1.35<br />

1987 $0.89 $1.33<br />

1988 $0.90 $1.31<br />

1989 $0.97 $1.36<br />

1990 $1.09 $1.47<br />

1991 $1.15 $1.50<br />

1992 $1.10 $1.40<br />

1993 $1.22 $1.52<br />

1994 $1.21 $1.47<br />

1995 $1.23 $1.47<br />

1996 $1.32 $1.54<br />

1997 $1.33 $1.53<br />

1998 $1.16 $1.32<br />

1999 $1.36 $1.53<br />

2000 $1.66 $1.82<br />

2001 $1.64 $1.75<br />

2002 $1.51 $1.60<br />

2003 $1.83 $1.90<br />

2004 $2.12 $2.15<br />

2005 $2.39 $2.39<br />

Source: The California Energy Commission, September 2005<br />

2-62. Existing-home sales rose in August of 2005 to the<br />

second-highest pace on record, with strong price<br />

gains in a market of tight supply, according to the<br />

National Association of Realtors ® (Walter Molony<br />

<strong>and</strong> Lucien Salvant, “Existing Home Sales Second<br />

Highest on Record,” September 26, 2005). A file<br />

entitled EHSales contains the number of existing<br />

homes sold (millions) from August of 2004 to<br />

August 2005.

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