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91Ó°ÊÓ

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

Describe how the mean compares to the median for distribution as follows:

a.Skewed to the left

b.Skewed to the right

c.Symmetric

Business marketing publications.Business-to-business marketing describes the field of marketing between multiple business entities. The Journal of Business-to-Business Marketing (Vol. 15, 2008) produced a pie chart describing the number of business-to-business marketing articles published in all journals, by topical area, between 1971 and 2006. The data used to produce the pie chart are shown in the table.

Area

Number

Global Marketing

Sales Management

Buyer Behavior

Relationships

Innovation

Marketing Strategy

Channels/Distribution

Marketing Research

Services

235

494

478

498

398

280

213

131

136

Total

2,863

a.Compute the relative frequencies for the nine topical areas shown in the table. Interpret the relative frequency for Buyer Behavior.

b.Use the relative frequencies, part a, to construct a pie chart for the data. Why is the slice for Marketing Research smaller than the slice for Sales Management?

Symmetric or skewed?Would you expect the data sets described below to possess relative frequency distributions that are symmetric, skewed to the right, or skewed to the left? Explain.

a.The salaries of all persons employed by a large university

b.The grades on an easy test

c.The grades on a difficult test

d.The amounts of time students in your class studied last week

e.The ages of automobiles on a used-car lot

f.The amounts of time spent by students on a difficult examination (maximum time is 50 minutes)

Parents Against Watching Television.A society called Parents Against Watching Television (PAWT) is primarily concerned with the amount of television viewed by today’s youth. It asked 300 parents of elementary school aged children to estimate the number of hours their child spent watching television in any given week. The mean and the standard deviation for their responses were 17 and 3, respectively. PAWT then constructed a stem-and-leaf display for the data, which showed that the distribution of the number of hours was a symmetric, mound-shaped distribution. Identify the interval where you believe approximately 95% of the television viewing times fell in the distribution.

Explain how the relationship between the mean and median provides information about the symmetry or skewness of the data’s distribution.

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