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Chapter 2: Q-2- 122E (page 131)

Question: Construct a scatterplot for the data in the following table.

Variable 1: 5 3 -1 2 7 6 4 0 8

Variable 2: 14 3 10 1 8 5 3 2 12

Short Answer

Expert verified

Answer:

The graph is given below:

Step by step solution

01

Scatterplot

Scatter plots are charts that show the connection of two factors in a collection of data. A scatter plot is a graphic that demonstrates the connection (correlation) among two variables by plotting dots.

02

Constructing the scatterplot

The graph is given below:

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Most popular questions from this chapter

Motivation of athletes.A statistician keeps track of every serve that a player hits during the U.S. Open Tennis Championship. The statistician reports that the mean serve speed was 100 miles per hour (mph) and the standard deviation of the serve speeds was 15 mph.

a.Suppose the statistician also observes that the distribution of serve speeds was mound-shaped and symmetric. What percentage of the player’s serves was between 115 mph and 145 mph?

b.Consider the following serve speeds: 50 mph, 80 mph, and 105 mph. Using the z-score approach for detecting outliers, which of these would represent outliers in the distribution of the player’s serve speeds?

c.If nothing is known about the shape of the distribution, what percentage of the player’s serve speeds are less than 70 mph?

Refer to Exercise 2.141. Assuming all populations are approximately mound-shaped, for parts a–d, determine whether the values 0, 4, and 12 are outliers.

Consider the following sample of five measurements: 2, 1, 1, 0, 3.

a.Calculate the range, s2, and s.

b.Add 3 to each measurement and repeat part a.

c.Subtract 4 from each measurement and repeat part a.

d.Considering your answers to parts a, b, and c, what seems to be the effect on the variability of a data set by adding the same number to or subtracting the same number from each measurement?

Spreading rate of spilled liquid.A contract engineer atDuPont Corp. studied the rate at which a spilled volatileliquid will spread across a surface (Chemical EngineeringProgress, January 2005). Assume 50 gallons of methanol

spills onto a level surface outdoors. The engineer used derived empirical formulas (assuming a state of turbulent-freeconvection) to calculate the mass (in pounds) of the spillafter a period of time ranging from 0 to 60 minutes. The calculatedmass values are given in the table. Is there evidenceto indicate that the mass of the spill tends to diminish astime increases?

Support your answer with a scatterplot.

Active nuclear power plants.Refer to Exercise 2.54 (p. 98) and the Nuclear Energy Institute’s data on the number of nuclear power plants operating in each of 30 states.

a.Find the range, variance, and standard deviation of this data set.

b.Eliminate the largest value from the data set and repeat part a.What effect does dropping this measurement have on the measures of variation found in part a?

c.Eliminate the smallest and largest value from the data set and repeat part a. What effect does dropping both of these measurements have on the measures of variation found in part a?

State

Status

Number of Power Plants

Alabama

Regulated

2

Arizona

Regulated

1

Arkansas

Regulated

1

California

Regulated

1

Connecticut

Deregulated

1

Florida

Regulated

3

Georgia

Regulated

2

Illinois

Deregulated

6

Iowa

Deregulated

1

Kansas

Regulated

1

Louisiana

Regulated

2

Maryland

Deregulated

1

Massachusetts

Deregulated

1

Michigan

Deregulated

3

Minnesota

Regulated

2

Mississippi

Regulated

1

Missouri

Regulated

1

Nebraska

Regulated

2

New Hampshire

Deregulated

1

New Jersey

Deregulated

3

New York

Deregulated

4

North Carolina

Regulated

3

Ohio

Deregulated

2

Pennsylvania

Deregulated

5

South Carolina

Regulated

4

Tennessee

Regulated

2

Texas

Deregulated

2

Virginia

Regulated

2

Washington

Regulated

1

Wisconsin

Deregulated

1
See all solutions

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