Statistics: The Art and Science of Learning From Data, Books a la Carte Edition (4th Edition)
4th Edition
ISBN: 9780133860825
Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg
Publisher: PEARSON
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Chapter 2.6, Problem 87PB
To determine
Explain what is wrong with the time plot.
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The table below shows a recent graduate's credit card balance each month after graduation.
Month
1
2
3
4
5
6
7
8
Debt ($)
620.00
761.88
899.80
1039.93
1270.63
1589.04
1851.31
2154.92
a) Look at the graph on your calculator. Based on this graph, what type of equation should represent this situation? Explain your answer.
b) Use your calculator to find the equation that you feel best fits this data. What is the equation?
c) Based on this equation, what is the predicted amount of debt for month 9 after graduation?
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The table below shows a recent graduate's credit card balance each month after graduation.
Month
1
2
3
4
5
6
7
8
Debt ($)
620.00
761.88
899.80
1039.93
1270.63
1589.04
1851.31
2154.92
a) Look at the graph on your calculator. Based on this graph, what type of equation should represent this situation? Explain your answer.
b) Use your calculator to find the equation that you feel best fits this data. What is the equation?
c) Based on this equation, what is the predicted amount of debt for month 9 after graduation?
Part 2: The graph below represents the relative frequency of heads that occur (number of heads divided by the total
number of tosses) versus the number of times the coin was tossed for the first io00 tosses. The table shows these
values, and in addition, the total number of heads for the 991st to 1000th tosses. Use this information to answer the
questions below.
Long Term Relative Frequency
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
100 200 300 400 500 600 700 800 900 1000
Number of Coin Flips
Long Term Relative Frequency
Number of
991
992
993
994
995
996
997
998
999
1000
Tosses
Number of
Heads
511
512
513
513
514
515
515
515
515
515
Relative
Frequency
of Heads
0.5156 0.5161 0.5166 0.5161 0.5166 0.5171
0.5165 0.516 0.5155 0.515
d) Since the coin is fair, on average, approximately half of the tosses should be heads. So when the coin is tossed 1000
times approximately 500 of the tosses should be heads. What is the actual number of heads for 1000 tosses as given
by the chart?
e) What is the…
Chapter 2 Solutions
Statistics: The Art and Science of Learning From Data, Books a la Carte Edition (4th Edition)
Ch. 2.1 - Categorical/quantitative difference a. Explain the...Ch. 2.1 - U.S. married-couple households According to a...Ch. 2.1 - Identify the variable type Identify each of the...Ch. 2.1 - Categorical or quantitative? Identify each of the...Ch. 2.1 - Discrete/continuous a. Explain the difference...Ch. 2.1 - Discrete or continuous? Identify each of the...Ch. 2.1 - Discrete or continuous 2 Repeat the previous...Ch. 2.1 - Prob. 8PBCh. 2.1 - Fatal Shark Attacks Few of the shark attacks...Ch. 2.2 - Generating Electricity In 2012 in the United...
Ch. 2.2 - What do alligators eat? The bar chart is from a...Ch. 2.2 - Prob. 12PBCh. 2.2 - Prob. 13PBCh. 2.2 - Prob. 14PBCh. 2.2 - Sugar dot plot For the breakfast cereal data given...Ch. 2.2 - Prob. 16PBCh. 2.2 - Graphing exam scores A teacher shows her class the...Ch. 2.2 - Fertility rates The fertility rate for a nation is...Ch. 2.2 - Split Stems The figure below shows the...Ch. 2.2 - Histogram for sugar For the breakfast cereal data,...Ch. 2.2 - Prob. 21PBCh. 2.2 - Prob. 22PBCh. 2.2 - Prob. 23PBCh. 2.2 - Prob. 24PBCh. 2.2 - Prob. 25PBCh. 2.2 - Prob. 26PBCh. 2.2 - Prob. 27PBCh. 2.2 - Warming in Newnan, Georgia? Access the Newnan, GA...Ch. 2.3 - Median versus mean For each of the following...Ch. 2.3 - Prob. 30PBCh. 2.3 - Prob. 31PBCh. 2.3 - Resistance to an outlier Consider the following...Ch. 2.3 - Income and health insurance According to the U.S....Ch. 2.3 - Prob. 34PBCh. 2.3 - Prob. 35PBCh. 2.3 - Prob. 36PBCh. 2.3 - Public transportationcenter The owner of a company...Ch. 2.3 - Prob. 38PBCh. 2.3 - Prob. 39PBCh. 2.3 - European fertility The European fertility rates...Ch. 2.3 - Sex partners A recent General Social Survey asked...Ch. 2.3 - Prob. 43PBCh. 2.3 - Prob. 44PBCh. 2.3 - Prob. 45PBCh. 2.4 - Sick leave A company decides to investigate the...Ch. 2.4 - Prob. 47PBCh. 2.4 - Prob. 48PBCh. 2.4 - Prob. 49PBCh. 2.4 - Exam standard deviation For an exam given to a...Ch. 2.4 - Heights For the sample heights of Georgia college...Ch. 2.4 - Histograms and standard deviation The figure shows...Ch. 2.4 - Female strength The High School Female Athletes...Ch. 2.4 - Female body weight The College Athletes data file...Ch. 2.4 - Shape of cigarette taxes A recent summary for the...Ch. 2.4 - Empirical rule and skewed, highly discrete...Ch. 2.4 - How much TV? The 2012 General Social Survey asked,...Ch. 2.4 - How many friends? A recent General Social Survey...Ch. 2.4 - Judging skew using x and s If the largest...Ch. 2.4 - Youth unemployment in the EU The Youth...Ch. 2.4 - Create data with a given standard deviation Use...Ch. 2.5 - Vacation days National Geographic Traveler...Ch. 2.5 - Youth unemployment In recent years, many European...Ch. 2.5 - Female strength The High School Female Athletes...Ch. 2.5 - Female body weight The College Athletes data file...Ch. 2.5 - Ways to measure variability The standard...Ch. 2.5 - Variability of cigarette taxes Heres the...Ch. 2.5 - Prob. 68PBCh. 2.5 - Infant mortality Africa The Human Development...Ch. 2.5 - Prob. 70PBCh. 2.5 - Computer use During a recent semester at the...Ch. 2.5 - Central Park temperature distribution revisited...Ch. 2.5 - Box plot for exam The scores on an exam have mean...Ch. 2.5 - Public transportation Exercise 2.37 described a...Ch. 2.5 - Prob. 75PBCh. 2.5 - Prob. 76PBCh. 2.5 - Prob. 77PBCh. 2.5 - Prob. 78PBCh. 2.5 - Prob. 79PBCh. 2.5 - Prob. 80PBCh. 2.5 - Prob. 81PBCh. 2.5 - Prob. 82PBCh. 2.6 - Great pay (on the average) The six full-time...Ch. 2.6 - Prob. 84PBCh. 2.6 - Prob. 85PBCh. 2.6 - Terrorism and war in Iraq In 2004, a college...Ch. 2.6 - Prob. 87PBCh. 2.6 - Prob. 88PBCh. 2 - Categorical or quantitative? Identify each of the...Ch. 2 - Continuous or discrete? Which of the following...Ch. 2 - Prob. 92CPCh. 2 - Cool in China A recent survey8 asked 1200...Ch. 2 - Prob. 94CPCh. 2 - Prob. 95CPCh. 2 - Prob. 96CPCh. 2 - Prob. 97CPCh. 2 - Prob. 98CPCh. 2 - Prob. 99CPCh. 2 - Prob. 100CPCh. 2 - Prob. 101CPCh. 2 - Prob. 103CPCh. 2 - Household net worth A study reported that in 2007...Ch. 2 - Prob. 105CPCh. 2 - Prob. 106CPCh. 2 - Prob. 107CPCh. 2 - Central Park monthly temperatures The MINITAB...Ch. 2 - Prob. 109CPCh. 2 - Female heights According to a recent report from...Ch. 2 - Energy and water consumption In parts a and b,...Ch. 2 - Prob. 112CPCh. 2 - More hurricane damage Refer to the previous...Ch. 2 - Prob. 114CPCh. 2 - Prob. 115CPCh. 2 - Prob. 116CPCh. 2 - Prob. 117CPCh. 2 - Temperatures in Central Park Access the Central...Ch. 2 - Teachers salaries According to Statistical...Ch. 2 - Prob. 120CPCh. 2 - What box plot do you expect? For each of the...Ch. 2 - Prob. 122CPCh. 2 - Prob. 123CPCh. 2 - Prob. 124CPCh. 2 - Prob. 125CPCh. 2 - Who was Roger Maris? Roger Maris, who spent most...Ch. 2 - Baseballs great home run hitters The Baseballs HR...Ch. 2 - Prob. 128CPCh. 2 - Controlling asthma A study of 13 children...Ch. 2 - Prob. 130CPCh. 2 - Youth unemployment by gender The side-by-side box...Ch. 2 - You give examples Give an example of a variable...Ch. 2 - Political conservatism and liberalism Where do...Ch. 2 - Mode but not median and mean The previous exercise...Ch. 2 - Multiple choice: GRE scores In a study of graduate...Ch. 2 - Multiple choice: Fact about s Which statement...Ch. 2 - Prob. 137CPCh. 2 - True or false: a. The mean, median, and mode can...Ch. 2 - Bad statistic A teacher summarizes grades on an...Ch. 2 - True or false: Soccer According to a story in the...Ch. 2 - Mean for grouped data Refer to the calculation of...Ch. 2 - Prob. 142CPCh. 2 - Range and standard deviation approximation Use the...Ch. 2 - Range the least resistant Weve seen that measures...Ch. 2 - Using MAD to measure variability The standard...Ch. 2 - Prob. 146CPCh. 2 - Create own data For the Mean Versus Median web...
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