Understanding Basic Statistics
8th Edition
ISBN: 9781337558075
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
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Chapter 2, Problem 1UTA
The following tables show the first-round winning scores of the NCAA men's and women's basketball teams.
TABLE 2-17 Men's Winning First-Round NCAA Tournament Scores
| 95 | 70 | 79 | 99 | 83 | 72 | 79 | 101 |
| 69 | 82 | 86 | 70 | 79 | 69 | 69 | 70 |
| 95 | 70 | 77 | 61 | 69 | 68 | 69 | 72 |
| 89 | 66 | 84 | 77 | 50 | 83 | 63 | 58 |
TABLE 2-18 Women's Winning First-Round NCAA Tournament Scores
| 80 | 68 | 51 | 80 | 83 | 75 | 77 | 100 |
| 96 | 68 | 89 | 80 | 67 | 84 | 76 | 70 |
| 98 | 81 | 79 | 89 | 98 | 83 | 72 | 100 |
| 101 | 83 | 66 | 76 | 77 | 84 | 71 | 77 |
Use the software or method of your choice to construct separate histograms for the men's and women's winning scores Try 5, 7, and 10 classes for each. Which number of classes seems to be the best choice? Why?
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The following table gives the 2012 total payroll (in millions of dollars) and the percentage of games won during the 2012 season by each of the National League baseball teams.
Team
Total Payroll
(millions of dollars)
Percentage of Games Won
Arizona Diamondbacks
83
46
Atlanta Braves
89
35
Chicago Cubs
110
57
Cincinnati Reds
111
34
Colorado Rockies
93
39
Los Angeles Dodgers
264
51
Miami Marlins
59
38
Milwaukee Brewers
99
39
New York Mets
95
53
Philadelphia Phillies
127
33
Pittsburgh Pirates
82
58
San Diego Padres
92
40
San Francisco Giants
164
46
St. Louis Cardinals
112
59
Washington Nationals
156
45
Compute the coefficient of determination, ρ2, with percentage of games won as the dependent variable. (Note that this data set belongs to a population.)
Carry out all calculations exactly, and round the final answer to three decimal places.
Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams.
Team
Games Won
Batting Average
1
9797
269269
2
9595
275275
3
8686
273273
4
9999
261261
5
6464
285285
6
118118
260260
7
8787
274274
8
8888
280280
Using games won as the explanatory variable ?x, compute the correlation coefficient
Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams.
Team
Games Won
Batting Average
1
8383
289289
2
116116
290290
3
101101
287287
4
8181
262262
5
110110
288288
6
119119
269269
7
6060
268268
8
6161
280280
Using games won as the explanatory variable xx, do the following:
(a) The correlation coefficient is r=r= .
(b) The equation of the least squares line is y^=y^=
Chapter 2 Solutions
Understanding Basic Statistics
Ch. 2.1 - Statistical Literacy What is the difference...Ch. 2.1 - Statistical Literacy A data set has values ranging...Ch. 2.1 - Statistical Literacy A data set has values ranging...Ch. 2.1 - Statistical Literacy A data set has value ranging...Ch. 2.1 - Basic Computation: Class Limits A data set with...Ch. 2.1 - Basic Computation: Class limits A data set with...Ch. 2.1 - Interpretation You are manager of a specialty...Ch. 2.1 - Critical Thinking A web site rated 100 colleges...Ch. 2.1 - Critical Thinking Look at the histogram in Figure...Ch. 2.1 - Critical Thinking The following data represent...
Ch. 2.1 - Interpretation Histograms of random sample data...Ch. 2.1 - Interpretation The following histograms are based...Ch. 2.1 - Interpretation The ogives shown are based on U.S...Ch. 2.1 - Critical Thinking The following ogives come from...Ch. 2.1 - For Problems 15-20. use the specified number of...Ch. 2.1 - For Problems 15-20, use the specified number of...Ch. 2.1 - For Problems 15-20, use the specified number of...Ch. 2.1 - For Problems 15-20, use the specified number of...Ch. 2.1 - For Problems 15-20, use the specified number of...Ch. 2.1 - For Problems 15-20. use the specified number of...Ch. 2.1 - Expand Your knowledge: Decimal Data The fallowing...Ch. 2.1 - Decimal Data: Batting Averages The following data...Ch. 2.1 - Expand Your Knowledge: Dotplot another display...Ch. 2.1 - 24. Dotplot: Sled Dog Racing Make a dotplot for...Ch. 2.1 - Prob. 25PCh. 2.2 - 1. Interpretation Consider graph (a) of Reasons...Ch. 2.2 - Interpretation Look at graph (b) of Reasons People...Ch. 2.2 - Critical Thinking A personnel office is gathering...Ch. 2.2 - Critical Thinking Your friend is thinking about...Ch. 2.2 - Education: Does College Pay Off? It is costly in...Ch. 2.2 - Interpretation Consider the two graphs depicting...Ch. 2.2 - Commercial Fishing: Gulf of Alaska It's not an...Ch. 2.2 - Archaeology: Ireland Commercial dredging...Ch. 2.2 - Lifestyle: Hide the Mess! A survey of 1000 adults...Ch. 2.2 - Education: College Professors' Time How do college...Ch. 2.2 - FBI Report: Hawaii In the Aloha state, you are...Ch. 2.2 - Driving: Bad Habits Driving would be more pleasant...Ch. 2.2 - 13Ecology: Lakes Pyramid Lake, Nevada, is...Ch. 2.2 - Vital Statistics: Height How dies average height...Ch. 2.2 - Expand Your Knowledge Donut Pie Charts The book...Ch. 2.2 - Technology: Cars The following cluster bar graph...Ch. 2.3 - Cowboys: Longevity How long did real cowboys live?...Ch. 2.3 - Ecology: Habitat Wetlands offer a diversity of...Ch. 2.3 - Health Care: Hospitals The American Medical...Ch. 2.3 - Health Care: Hospitals Using the number of...Ch. 2.3 - Expand Your knowledge: Split Stem The Boston...Ch. 2.3 - Split Stem: Golf The U.S. Open Golf Tournament was...Ch. 2.3 - Are cigarettes bad for people? Cigarette smoking...Ch. 2.3 - Are cigarettes bad for people? Cigarette smoking...Ch. 2.3 - Are cigarettes bad for people? Cigarette smoking...Ch. 2.3 - Expand Your Knowledge: Back-to-Back Stem Plot In...Ch. 2 - Terminology Consider the following graph types:...Ch. 2 - Terminology Whichtype(s) of data can be shown in a...Ch. 2 - Terminology Which type(s) of data can be shown in...Ch. 2 - Terminology Which graphical display shows each...Ch. 2 - Terminology If a histogram is skewed left, more of...Ch. 2 - Terminology How are data plotted in a time-series...Ch. 2 - Critical Thinking Consider these types of graphs:...Ch. 2 - Critical Thinking A consumer interest group is...Ch. 2 - Critical Thinking Describe how data outliers might...Ch. 2 - Expand Your Knowledge How are dotplots and...Ch. 2 - Focus Problem: Fuel Economy Solve the focus...Ch. 2 - Criminal Justice: Prisoners The time plot in...Ch. 2 - IRS: Tax Returns Almost everyone files (or will...Ch. 2 - Law Enforcement: DUI Driving under the influence...Ch. 2 - Agriculture: Apple Trees The following data...Ch. 2 - Law: Corporation Lawsuits Many people say the...Ch. 2 - Archaeology: Tree-King DataThe Sand Canyon...Ch. 2 - Interpretation A Harm Poll surveyed 2085 U.S....Ch. 2 - Examine Figure 2-20, Everyone Agrees: Slobs Make...Ch. 2 - Examine Figure 2-21, Global Teen Worries. How many...Ch. 2 - In your own words, explain the differences among...Ch. 2 - What do we mean when we say a histogram is skewed...Ch. 2 - Discuss the statement that stem-and-leaf displays...Ch. 2 - The following tables show the first-round winning...Ch. 2 - The following tables show the first-round winning...Ch. 2 - The Following tables show the first-round winning...
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