Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Textbook Question
Chapter 4.1, Problem 31AYU
CEO Performance The following data represent the total compensation for 12 randomly selected chief executive officers (CEO) and the company’s stock performance in 2013.
| Company | Compensation (millions of dollars) | Stock Return (%) |
| Navistar International | 14.53 | 75.43 |
| Aviv REIT | 4.09 | 64.01 |
| Groupon | 7.11 | 142.07 |
| Inland Real Estate | 1.05 | 32.72 |
| Equity Lifestyles Properties | 1.97 | 10.64 |
| Tootsie Roll Industries | 3.76 | 30.66 |
| Catamaran | 12.06 | 0.77 |
| Packaging Corp of America | 7.62 | 69.39 |
| Brunswick | 8.47 | 58.69 |
| LKQ | 4.04 | 55.93 |
| Abbott Laboratories | 20.87 | 24.28 |
| TreeHouse Foods | 6.63 | 32.21 |
| Data from Chicago Tribune, June 1, 2014 | ||
- a. One would think that a higher stock return would lead to a higher compensation. Based on this, what would likely be the explanatory variable?
- b. Draw a
scatter diagram of the data. - c. Determine the linear
correlation coefficient between compensation and stock return. - d. Does a linear relation exist between compensation and stock return? Does stock performance appear to play a role in determining the compensation of a CEO?
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The "Dogs of the Dow" are the stocks listed on the Dow with the highest dividend yield. The following table shows the top 10 stocks of the "Dogs of the Dow" list for 2015, based on their performance the preceding year.
Symbol
Company
Price ($)
Yield
T
AT&T
33.59
5.48%
VZ
Verizon
46.78
4.70%
CVX
Chevron
112.18
3.82%
MCD
McDonald's
93.70
3.63%
PFE
Pfizer
31.15
3.60%
GE
GeneralElectric
25.27
3.48%
MRK
Merck
56.79
3.17%
CAT
Caterpillar
91.53
3.06%
XOM
ExxonMobil
92.45
2.99%
KO
Coca-Cola
42.22
2.89%
You decide to make a small portfolio consisting of a collection of 3 of the top 10 Dogs of the Dow.
(a)
How many portfolios are possible?
__ = portfolios
(b)
How many of these portfolios contain VZ and MCD but neither KO nor XOM?
__ = portfolios
(c)
How many of these portfolios contain at least two stocks with yields above 3.5%?
__ = portfolios
(ATTACHED IS THE IMAGE OF QUESTIONS, ANSWER A, B, AND C)
The "Dogs of the Dow" are the stocks listed on the Dow with the highest dividend yield. The following table shows the top ten stocks of the "Dogs of the Dow" list for 2015, based on their performance the pre
See Example 2.]
Symbol
Company
Price ($)
Yield
AT&T
33.59
5.48%
vz
Verizon
46.78
4.70%
CVX
Chevron
112.18
3.82%
MCD
McDonald's
93.70
3.63%
PFE
Pfizer
31.15
3.60%
GE
General Electric
25.27
3.48%
MRK
Merck
56.79
3.17%
CAT
Caterpillar
91.53
3.06%
хом
ExxonMobil
92.45
2.99%
ко
Coca-Cola
42.22
2.89%
f you selected two of these stocks at random, what is the probability that both the stocks in your selection had yields of 3.75% or more? (Enter your probability as a fraction.)
Chapter 4 Solutions
Fundamentals of Statistics (5th Edition)
Ch. 4.1 - What is the difference between univariate data and...Ch. 4.1 - The _____ variable is the variable whose value can...Ch. 4.1 - A _____ _____ is a graph that shows the relation...Ch. 4.1 - What does it mean to say two variables are...Ch. 4.1 - If r = _____, then a perfect negative linear...Ch. 4.1 - True or False: If the linear correlation...Ch. 4.1 - A _____ variable is a variable that is related to...Ch. 4.1 - True or False: Correlation implies causation.Ch. 4.1 - In Problems 912, determine whether the scatter...Ch. 4.1 - In Problems 912, determine whether the scatter...
Ch. 4.1 - In Problems 912, determine whether the scatter...Ch. 4.1 - In Problems 912, determine whether the scatter...Ch. 4.1 - NW Match the linear correlation coefficient to the...Ch. 4.1 - Match the linear correlation coefficient to the...Ch. 4.1 - Prob. 15AYUCh. 4.1 - Relation between Education and Birthrate? The...Ch. 4.1 - In Problems 1720, (a) draw a scatter diagram of...Ch. 4.1 - In Problems 1720, (a) draw a scatter diagram of...Ch. 4.1 - In Problems 1720, (a) draw a scatter diagram of...Ch. 4.1 - In Problems 1720, (a) draw a scatter diagram of...Ch. 4.1 - Name the Relation, Part I For each of the...Ch. 4.1 - Prob. 22AYUCh. 4.1 - The TIMMS Exam The Trends in International...Ch. 4.1 - Prob. 24AYUCh. 4.1 - NW An Unhealthy Commute The Gallup Organization...Ch. 4.1 - Credit Scores Your Fair Isaacs Corporation (FICO)...Ch. 4.1 - Height versus Head Circumference A pediatrician...Ch. 4.1 - American Black Bears The American black bear...Ch. 4.1 - Weight of a Car versus Miles per Gallon An...Ch. 4.1 - Hurricanes The data in the next column represent...Ch. 4.1 - CEO Performance The following data represent the...Ch. 4.1 - Bear Markets A bear market in the stock market is...Ch. 4.1 - Does Size Matter? Researchers wondered whether the...Ch. 4.1 - Prob. 34AYUCh. 4.1 - Weight of a Car versus Miles per Gallon Suppose...Ch. 4.1 - American Black Bears The website that contained...Ch. 4.1 - Draw Your Data! Consider the four data sets shown...Ch. 4.1 - Predicting Winning Percentage The ultimate goal in...Ch. 4.1 - Prob. 39AYUCh. 4.1 - Lyme Disease versus Drownings Lyme disease is an...Ch. 4.1 - Prob. 41AYUCh. 4.1 - Prob. 42AYUCh. 4.1 - Crime Rate and Cell Phones The linear correlation...Ch. 4.1 - Prob. 44AYUCh. 4.1 - Influential Consider the following set of data: a....Ch. 4.1 - Prob. 46AYUCh. 4.1 - Prob. 47AYUCh. 4.1 - Prob. 48AYUCh. 4.1 - What does it mean to say that the linear...Ch. 4.1 - What does it mean if r = 0?Ch. 4.1 - Prob. 51AYUCh. 4.1 - Prob. 52AYUCh. 4.1 - Explain the difference between correlation and...Ch. 4.1 - Suppose that two variables, x and y, are...Ch. 4.2 - The difference between the observed and predicted...Ch. 4.2 - If the linear correlation between two variables is...Ch. 4.2 - Prob. 3AYUCh. 4.2 - Prob. 4AYUCh. 4.2 - For the data set a. Draw a scatter diagram....Ch. 4.2 - For the data set a. Draw a scatter diagram....Ch. 4.2 - In Problems 712: a. By hand, draw a scatter...Ch. 4.2 - In Problems 712: a. By hand, draw a scatter...Ch. 4.2 - Prob. 9AYUCh. 4.2 - In Problems 712: a. By hand, draw a scatter...Ch. 4.2 - In Problems 712: a. By hand, draw a scatter...Ch. 4.2 - In Problems 712: a. By hand, draw a scatter...Ch. 4.2 - NW Income and Education In Problem 15 from Section...Ch. 4.2 - You Explain It! Study Time and Exam Scores After...Ch. 4.2 - Age Gap at Marriage Is there a relation between...Ch. 4.2 - You Explain It! CO2 and Energy Production The...Ch. 4.2 - NW An Unhealthy Commute (Refer to Problem 25,...Ch. 4.2 - Credit Scores (Refer to Problem 26, Section 4.1.)...Ch. 4.2 - Height versus Head Circumference (Refer to Problem...Ch. 4.2 - Prob. 20AYUCh. 4.2 - Weight of a Car versus Miles per Gallon (Refer to...Ch. 4.2 - Hurricanes (Refer to Problem 30, Section 4.1) The...Ch. 4.2 - Cola Consumption vs. Bone Density Example 5 in...Ch. 4.2 - Attending Class The following data represent the...Ch. 4.2 - CEO Performance (Refer to Problem 31 in Section...Ch. 4.2 - Bear Markets (Refer to Problem 32, Section 4.1) A...Ch. 4.2 - Male vs. Female Drivers (Refer to Problem 34,...Ch. 4.2 - Graduation Rates Go to...Ch. 4.2 - Putting It Together: Housing Prices One of the...Ch. 4.2 - Putting It Together: Smoking and Birth Weight It...Ch. 4.2 - What is a residual? What does it mean when a...Ch. 4.2 - Explain the phrase outside the scope of the model....Ch. 4.2 - Explain what each point on the least-squares...Ch. 4.3 - The _____ _____ _____, R2, measures the proportion...Ch. 4.3 - Total deviation = _____ deviation + _____...Ch. 4.3 - Match each coefficient of determination to a...Ch. 4.3 - NW The Other Old Faithful Perhaps you are familiar...Ch. 4.3 - Concrete As concrete cures, it gains strength. The...Ch. 4.3 - Prob. 7AYUCh. 4.3 - Problems 712 use the results from Problems 2530 in...Ch. 4.3 - Prob. 9AYUCh. 4.3 - Problems 712 use the results from Problems 2530 in...Ch. 4.3 - Problems 712 use the results from Problems 2530 in...Ch. 4.3 - Prob. 12AYUCh. 4.3 - Weight of a Car versus Miles per Gallon Suppose...Ch. 4.3 - American Black Bears Suppose that we find a bear...Ch. 4.3 - Putting It Together: Exam Scores The data below...Ch. 4.3 - Sullivan Survey II Go to...Ch. 4.4 - What is meant by a marginal distribution? What is...Ch. 4.4 - Refer to Table 8. Is constructing a conditional...Ch. 4.4 - Prob. 3AYUCh. 4.4 - Explain the idea behind Simpsons Paradox.Ch. 4.4 - In Problems 5 and 6, a. Construct a frequency...Ch. 4.4 - In Problems 5 and 6, a. Construct a frequency...Ch. 4.4 - Made in America In a recent Harris Poll, a random...Ch. 4.4 - Desirability Traits In a recent Harris Poll, a...Ch. 4.4 - NW Party Affiliation Is there an association...Ch. 4.4 - Prob. 10AYUCh. 4.4 - Health and Happiness The General Social Survey...Ch. 4.4 - Happy in Your Marriage? The General Social Survey...Ch. 4.4 - Prob. 13AYUCh. 4.4 - Treating Kidney Stones Researchers conducted a...Ch. 4.4 - Sullivan Survey II Go to...Ch. 4 - Basketball Spreads In sports betting, Las Vegas...Ch. 4 - Fat and Calories in Cheeseburgers A nutritionist...Ch. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - a. 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