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Chapter 2: Q123E (page 131)

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

Variable 1: 5 1 1.5 2 2.5 3 3.5 4 4.5 5

Variable 2: 2 1 3 4 6 10 9 12 17 17

Short Answer

Expert verified

Answer:

The graph is given below:

Step by step solution

01

Scatterplot

Scatter plotsare 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

In terms of percentiles, define QL, QM and QU

Time in bankruptcy.Refer to the Financial Management(Spring 1995) study of 49 firms filing for prepackagedbankruptcies, Exercise 2.32 (p. 86). Recall that three typesof “prepack” firms exist: (1) those who hold no prefilingvote, (2) those who vote their preference for a joint solution;and (3) those who vote their preference for a prepack.

a.Construct a box plot for the time in bankruptcy (months) for each type of firm.

b.Find the median bankruptcy times for the three types.

c.How do the variabilities of the bankruptcy times compare for the three types?

d.The standard deviations of the bankruptcy times are 2.47 for “none,” 1.72 for “joint,” and 0.96 for “prepack.” Do the standard deviations agree with the interquartile ranges concerning the comparison of the variabilities of the bankruptcy times?

e.Is there evidence of outliers in any of the three distributions?

Jamming attacks on wireless networks. Refer to the International Journal of Production Economics (Vol. 172, 2016) study of U.S. military jamming attacks on wireless networks used by terrorists, Exercise 1.16 (p. 50). Recall that 80 recent jamming attacks were classified according to network type (WLAN, WSN, or AHN) attacked and number of channels (single- or multi-channel) of the network. The results are summarized in the accompanying table.

Network Type/
Number of Channels

Number of
Jamming Attacks

WLAN / Single

31

WSN / Single

13

AHN / Single

8

WLAN / Multi

14

WSN / Multi

9

AHN / Multi

5

Total

80

a. Construct a Pareto diagram for the data. Interpret the results.

b. Construct a pie chart for network type only. Interpret the results.

Motivation of drug dealers.Consider a study of drug dealers and their motivation for participating in the illegal drug market (Applied Psychology in Criminal Justice, September 2009). The sample consisted of 100 convicted drug dealers who attended a court-mandated counseling program. Each dealer was scored on the Wanting Recognition (WR) Scale, which provides a quantitative measure of a person’s level of need for approval and sensitivity to social situations. (Higher scores indicate a greater need for approval.) The sample of drug dealers had a mean WR score of 39, with a standard deviation of 6. Assume the distribution of WR scores for drug dealers is mound-shaped and symmetric.

a.Give a range of WR scores that will contain about 95% of the scores in the drug dealer sample.

b.What proportion of the drug dealers had WR scores above 51?

c.Give a range of WR sores that contain nearly all the scores in the drug dealer sample.

Budget lapsing at army hospitals.Accountants use the term budget lapsingto describe the situation that occurs when unspent funds do not carry over from one budgeting period to the next. Due to budget lapsing, U.S. army hospitals tend to stockpile pharmaceuticals and other supplies toward the end of the fiscal year, leading to a spike in expenditures. This phenomenon was investigated in the Journal of Management Accounting Research(Vol. 19, 2007). Data on expenses per full-timeequivalent employees for a sample of 1,751 army hospitalsyielded the following summary statistics: xbar= \(6,563,m= \)6,232, s= \(2,484, QL = \)5,309 and QU = \(7,216.

a.Interpret, practically, the measures of relative standing.

b.Compute the interquartile range, IQR, for the data.

c.What proportion of the 1,751 army hospitals have expenses between \)5,309 and $7,216?
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