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Chapter 2: Q147SE (page 142)

Construct a scattergram for the data in the following table.

Variable 1: 174 268 345 119 400 520 190 448 307 252

Variable 2: 8 10 15 7 22 31 15 20 11 9

Short Answer

Expert verified

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 scattergram.

Plot variable 1 on the x-axis and Variable 2 on the y-axis to construct

The graph is given below:

03

Draw a trendline to see the relationship between two variables

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Most popular questions from this chapter

The Apprenticecontestants’ performance ratings.Refer to the Significance(April 2015) study of contestants’ performance on the popular TV show The Apprentice, Exercise 2.9 (p. 73). Recall that each of 159 contestants was rated (on a 20-point scale) based on their performance. The accompanying Minitab printout gives the mean and standard deviation of the contestant ratings, categorized by highest degree obtained (no degree, first degree, or postgraduate degree) and prize (job or partnership with Lord Sugar).

Descriptive Statistics: Ratings

Results for Prize = Job

Variable

Degree

N

Mean

StDev

Minimum

Maximum

Rating

First

54

7.796

4.231

1.000

17

None

35

7.457

4.388

1.000

20

Post

10

9.80

4.54

2.000

17

Results for Prize = Partnership

Variable

Degree

N

Mean

StDev

Minimum

Maximum

Rating

First

33

8.212

4.775

1.000

20.00

None

21

10.62

4.83

3.000

20.00

Post

6

6.50

3.33

2.000

12.00

a.Give a practical interpretation of the mean rating for contestants with a first (bachelor’s) degree who competed for a job with Lord Sugar.

b.Find an interval that captures about 95% of the ratings for contestants with a first (bachelor’s) degree who competed for a job with Lord Sugar.

c.An analysis of the data led the researchers to conclude that “when the reward for winning . . . was a job, more academically qualified contestants tended to perform less well; however, this pattern is reversed when the prize changed to a business partnership.” Do you agree? Explain.

Made-to-order delivery times.Refer to the data on delivery times for a made-to-order product, Exercise 2.34 (p. 87). The delivery times (in days) for a sample of 25 orders are repeated in the accompanying table. (Times marked by an asterisk are associated with customers who subsequently placed additional orders with the company.) Identify any unusual observations (outliers) in the data set, and then use the results to comment on the claim that repeat customers tend to have shorter delivery times than one-time customers.

50* 64* 56* 43* 64* 82* 65* 49* 32* 63* 44* 71 54* 51* 102 49* 73* 50* 39* 86 33* 95 59* 51* 68

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

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

Products “Made in the USA.”“Made in the USA” is a claim stated in many product advertisements or on product labels. Advertisers want consumers to believe that the product is manufactured with 100% U.S. labor and materials—which is often not the case. What does “Made in the USA” mean to the typical consumer? To answer this question, a group of marketing professors conducted an experiment at a shopping mall (Journal of Global Business, spring 2002). They asked every fourth adult entrant to the mall to participate in the study. A total of 106 shoppers agreed to answer the question, “‘Made in the USA’ means what percentage of U.S. labor and materials?” The responses of the 106 shoppers are summarized as follows: “100%” (64 shoppers), “75 to 99%” (20 shoppers), “50 to 74%” (18 shoppers), and “less than 50%” (4 shoppers).

a.What type of data-collection method was used?

b.What type of variable, quantitative or qualitative, is measured?

c.Present the data in graphical form. Use the graph to make a statement about the percentage of consumers who believe “Made in the USA” means 100% U.S. labor and materials.
See all solutions

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