APPLIED STAT.IN BUS.+ECONOMICS
6th Edition
ISBN: 9781259957598
Author: DOANE
Publisher: RENT MCG
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Chapter 4, Problem 18ERQ
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Identify and explain the reason for the false statement.
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Consider the ceocomp dataset of compensation information for the CEO’s of 100 U.S. companies. We wish to fit aregression model to assess the relationship between CEO compensation in thousands of dollars (includes salary andbonus, but not stock gains) and the following variates:AGE: The CEOs age, in yearsEDUCATN: The CEO’s education level (1 = no college degree; 2 = college/undergrad. degree; 3 = grad. degree)BACKGRD: Background type(1= banking/financial; 2 = sales/marketing; 3 = technical; 4 = legal; 5 = other)TENURE: Number of years employed by the firmEXPER: Number of years as the firm CEOSALES: Sales revenues, in millions of dollarsVAL: Market value of the CEO's stock, in natural logarithm unitsPCNTOWN: Percentage of firm's market value owned by the CEOPROF: Profits of the firm, before taxes, in millions of dollars1) Create a scatterplot matrix for this dataset. Briefly comment on the observed relationships between compensationand the other variates.Note that companies with negative…
6 (Model Selection, Estimation and Prediction of GARCH) Consider the daily returns rt
of General Electric Company stock (ticker: "GE") from "2021-01-01" to "2024-03-31",
comprising a total of 813 daily returns. Using the "fGarch" package of R, outputs of
fitting three GARCH models to the returns are given at the end of this question.
Model 1 ARCH (1) with standard normal innovations;
Model 2
Model 3
GARCH (1, 1) with Student-t innovations;
GARCH (2, 2) with Student-t innovations;
Based on the outputs, answer the following questions.
(a) What can be inferred from the Standardized Residual Tests conducted on Model 1?
(b) Which model do you recommend for prediction between Model 2 and Model 3?
Why?
(c) Write down the fitted model for the model that you recommended in Part (b).
(d) Using the model recommended in Part (b), predict the conditional volatility in the
next trading day, specifically trading day 814.
4 (MLE of ARCH) Suppose rt follows ARCH(2) with E(rt) = 0,
rt = ut, ut =
στει, σε
where {+} is a sequence of independent and identically distributed (iid) standard normal
random variables.
With observations r₁,...,, write down the log-likelihood function for the model esti-
mation.
Chapter 4 Solutions
APPLIED STAT.IN BUS.+ECONOMICS
Ch. 4.2 - (a) For each data set, find the mean, median, and...Ch. 4.2 - For each data set, is the mode a good measure of...Ch. 4.2 - For each data set, is the mode a good measure of...Ch. 4.2 - For each data set, which best indicates a typical...Ch. 4.2 - For each data set, which best indicates a typical...Ch. 4.2 - Days on the market are shown for the 36 most...Ch. 4.2 - Scores are shown for the most recent state civil...Ch. 4.2 - A vehicle emissions testing facility can process...Ch. 4.2 - CitiBank recorded the number of customers to use a...Ch. 4.2 - Prob. 10SE
Ch. 4.2 - Prob. 11SECh. 4.2 - Prob. 12SECh. 4.2 - (a) Write the Excel function for the 10 percent...Ch. 4.2 - Prob. 14SECh. 4.2 - Prob. 15SECh. 4.2 - Spirit Airlines kept track of the number of empty...Ch. 4.2 - CitiBank recorded the number of customers to use a...Ch. 4.2 - On Friday night, the owner of Chez Pierre in...Ch. 4.2 - Prob. 19SECh. 4.2 - The number of internet users in Latin America grew...Ch. 4.3 - (a) Find the mean and standard deviation for each...Ch. 4.3 - For each data set: (a) Find the mean. (b) Find the...Ch. 4.3 - In fuel economy tests in city driving conditions,...Ch. 4.3 - Over the past month, Bobs bowling score mean was...Ch. 4.3 - Prob. 25SECh. 4.3 - Prob. 26SECh. 4.3 - (a) Find the coefficient of variation for prices...Ch. 4.3 - Prob. 28SECh. 4.3 - Noodles and Company tested consumer reaction to...Ch. 4.4 - (a) By Chebyshevs Theorem, at least how many...Ch. 4.4 - An exam has a mean of 70 with a standard deviation...Ch. 4.4 - Prob. 32SECh. 4.4 - The mean collection period for accounts receivable...Ch. 4.4 - Convert each individual data value to a...Ch. 4.4 - Prob. 35SECh. 4.4 - Prob. 36SECh. 4.4 - Find the original data value corresponding to each...Ch. 4.4 - CitiBank recorded the number of customers to use a...Ch. 4.4 - Prob. 39SECh. 4.5 - Scores on an accounting exam ranged from 42 to 96,...Ch. 4.5 - In 2007, total compensation (in thousands of...Ch. 4.5 - Waiting times (minutes) for a table at Joeys BBQ...Ch. 4.5 - Coffee temperatures (degrees Fahrenheit) at a...Ch. 4.5 - Prob. 44SECh. 4.5 - On San Martin Boulevard, embedded sensors kept...Ch. 4.5 - Prob. 46SECh. 4.5 - Prob. 47SECh. 4.6 - For each X-Y data set (n = 12): (a) Make a scatter...Ch. 4.6 - Closing prices of two stocks are recorded for 50...Ch. 4.6 - Prob. 50SECh. 4.6 - Prob. 51SECh. 4.7 - Estimate the mean from this table of grouped data...Ch. 4.7 - Estimate the mean from the following table of...Ch. 4 - What are descriptive statistics? How do they...Ch. 4 - Explain each concept: (a) center, (b) variability,...Ch. 4 - Prob. 3CRCh. 4 - List strengths and weaknesses of each measure of...Ch. 4 - Prob. 5CRCh. 4 - (a) What is a bimodal distribution? (b) Explain...Ch. 4 - Prob. 7CRCh. 4 - Prob. 8CRCh. 4 - (a) Which standard deviation formula (population,...Ch. 4 - (a) To what kind of data does Chebyshevs Theorem...Ch. 4 - Prob. 11CRCh. 4 - Prob. 12CRCh. 4 - Prob. 13CRCh. 4 - Prob. 14CRCh. 4 - (a) Explain the method of medians for calculating...Ch. 4 - (a) What is a box plot? What does it tell us? (b)...Ch. 4 - Prob. 17CRCh. 4 - Prob. 18CRCh. 4 - Prob. 19CRCh. 4 - (a) What is kurtosis? (b) Sketch a platykurtic...Ch. 4 - Prob. 54CECh. 4 - If the mean asset turnover for retail firms is...Ch. 4 - Prob. 56CECh. 4 - During a rock concert, the noise level (in...Ch. 4 - Bags of jelly beans have a mean weight of 396 gm...Ch. 4 - Based on experience, the Ball Corporations...Ch. 4 - SAT scores for the entering class of 2010 at...Ch. 4 - Prob. 61CECh. 4 - The average time a Boulder High varsity lacrosse...Ch. 4 - Prob. 63CECh. 4 - Below are monthly rents paid by 30 students who...Ch. 4 - How many days in advance do travelers purchase...Ch. 4 - The durations (minutes) of 26 electric power...Ch. 4 - The U.S. Postal Service will ship a Priority Mail...Ch. 4 - Prob. 68CECh. 4 - Prob. 69CECh. 4 - Prob. 70CECh. 4 - Prob. 71CECh. 4 - A plumbing suppliers mean monthly demand for vinyl...Ch. 4 - Prob. 73CECh. 4 - Analysis of investment portfolio returns over a...Ch. 4 - Prob. 75CECh. 4 - Caffeine content in a 5-ounce cup of brewed coffee...Ch. 4 - Prob. 77CECh. 4 - Prob. 78CECh. 4 - Prob. 79CECh. 4 - Prob. 80CECh. 4 - Prob. 81CECh. 4 - Prob. 82CECh. 4 - Prob. 83CECh. 4 - The median waiting time for a liver transplant in...Ch. 4 - A small suburban community agreed to purchase...Ch. 4 - A companys contractual trigger point for a union...Ch. 4 - Prob. 87CECh. 4 - (a) Enter the Excel function...Ch. 4 - Note: In each of the following tables, the upper...Ch. 4 - This table shows the distribution of winning times...Ch. 4 - The self-reported number of hours worked per week...Ch. 4 - How long does it take to fly from Denver to...Ch. 4 - (a) Make an Excel scatter plot of X = 1990 assault...Ch. 4 - (a) Make an Excel scatter plot of X = airspeed...Ch. 4 - Prob. 97CECh. 4 - (a) Make an Excel scatter plot of X = weekly...Ch. 4 - Prob. 99CECh. 4 - Prob. 1ERQCh. 4 - Which is not an ethical obligation of a...Ch. 4 - Prob. 3ERQCh. 4 - Prob. 4ERQCh. 4 - Give the type of measurement (nominal, ordinal,...Ch. 4 - Prob. 6ERQCh. 4 - To choose a sample of 12 students from a...Ch. 4 - Which of the following is not a reason for...Ch. 4 - Which statement is correct? Why not the others? a....Ch. 4 - Prob. 10ERQCh. 4 - The management of a theme park obtained a random...Ch. 4 - Which one of the following is true? Why not the...Ch. 4 - Prob. 13ERQCh. 4 - Prob. 14ERQCh. 4 - Here are the ages of a random sample of 20 CEOs...Ch. 4 - Prob. 16ERQCh. 4 - Prob. 17ERQCh. 4 - Prob. 18ERQCh. 4 - Which is not a characteristic of using a log scale...
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