Applied Statistics in Business and Economics
5th Edition
ISBN: 9780077837303
Author: David Doane, Lori Seward Senior Instructor of Operations Management
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 3, Problem 9CR
(a) For what kind of data would we use a pie chart? (b) Name two common pie chart errors. (c) Why are pie charts regarded with skepticism by some statisticians?
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2 (VaR and ES) Suppose X1
are independent. Prove that
~
Unif[-0.5, 0.5] and X2
VaRa (X1X2) < VaRa(X1) + VaRa (X2).
~
Unif[-0.5, 0.5]
8 (Correlation and Diversification)
Assume we have two stocks, A and B, show that a particular combination
of the two stocks produce a risk-free portfolio when the correlation between
the return of A and B is -1.
9 (Portfolio allocation)
Suppose R₁ and R2 are returns of 2 assets and with expected return and
variance respectively r₁ and 72 and variance-covariance σ2, 0%½ and σ12. Find
−∞ ≤ w ≤ ∞ such that the portfolio wR₁ + (1 - w) R₂ has the smallest
risk.
Chapter 3 Solutions
Applied Statistics in Business and Economics
Ch. 3.1 - (a) Make a stem-and-leaf plot for these 24...Ch. 3.1 - (a) Make a stem-and-leaf plot for the number of...Ch. 3.1 - Prob. 3SECh. 3.2 - (a) The table shows the number of days on the...Ch. 3.2 - (a) The table shows raw scores on a state civil...Ch. 3.2 - (a) Make a frequency distribution and histogram...Ch. 3.2 - (a) Make a frequency distribution and histogram...Ch. 3.2 - (a) Make a frequency distribution and histogram...Ch. 3.2 - For each frequency distribution, suggest nice...Ch. 3.2 - Below are sorted data showing average spending per...
Ch. 3.4 - (a) Use Excel to prepare a line chart to display...Ch. 3.4 - Prob. 12SECh. 3.4 - Prob. 13SECh. 3.4 - (a) Use Excel to prepare a line chart to display...Ch. 3.5 - Prob. 15SECh. 3.5 - Prob. 16SECh. 3.6 - (a) Use Excel to prepare a 2-D pie chart for these...Ch. 3.6 - Prob. 19SECh. 3.6 - Prob. 20SECh. 3.7 - (a) Use Excel to make a scatter plot of the data...Ch. 3.7 - Prob. 22SECh. 3.7 - Prob. 23SECh. 3.7 - (a) Use Excel to make a scatter plot of the data,...Ch. 3 - Name two attractive features and two limitations...Ch. 3 - (a) What is a frequency distribution? (b) What are...Ch. 3 - (a) What is a histogram? (b) What does it show?Ch. 3 - (a) What is a bimodal histogram? (b) Explain the...Ch. 3 - (a) What is a scatter plot? (b) What do scatter...Ch. 3 - For what kind of data would we use a bar chart?...Ch. 3 - For what kind of data would we use a line chart?...Ch. 3 - (a) List the three most common types of charts in...Ch. 3 - (a) For what kind of data would we use a pie...Ch. 3 - Which types of charts can be used for time series...Ch. 3 - (a) When might we need a log scale? (b) What do...Ch. 3 - When might we use a stacked column chart? An area...Ch. 3 - List five deceptive graphical techniques.Ch. 3 - What is a pivot table? Why is it useful?Ch. 3 - The durations (minutes) of 26 electric power...Ch. 3 - The U.S. Postal Service will ship a Priority Mail,...Ch. 3 - A study of 40 U.S. cardiac care centers showed the...Ch. 3 - Prob. 28CECh. 3 - Prob. 29CECh. 3 - Below are batting averages of the New York Yankees...Ch. 3 - Download the full data set of measurements of...Ch. 3 - Prob. 32CECh. 3 - Download the full data set from the McGraw-Hill...Ch. 3 - (a) What kind of display is this? (b) Identify its...Ch. 3 - (a) What kind of display is this? (b) Identify its...Ch. 3 - Prob. 36CECh. 3 - (a) What kind of display is this? (b) Identify its...Ch. 3 - Prob. 38CECh. 3 - (a) What kind of display is this? (b) Identify its...Ch. 3 - (a) What kind of display is this? (b) Identify its...Ch. 3 - Prob. 41CECh. 3 - Prob. 42CECh. 3 - (a) Use Excel to prepare an appropriate type of...Ch. 3 - Prob. 44CECh. 3 - Prob. 45CECh. 3 - (a) Use Excel to prepare an appropriate type of...Ch. 3 - Prob. 47CECh. 3 - (a) Use Excel to prepare an appropriate type of...
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- 7 (Multivariate random variable) Suppose X, €1, €2, €3 are IID N(0, 1) and Y2 Y₁ = 0.2 0.8X + €1, Y₂ = 0.3 +0.7X+ €2, Y3 = 0.2 + 0.9X + €3. = (In models like this, X is called the common factors of Y₁, Y₂, Y3.) Y = (Y1, Y2, Y3). (a) Find E(Y) and cov(Y). (b) What can you observe from cov(Y). Writearrow_forward1 (VaR and ES) Suppose X ~ f(x) with 1+x, if 0> x > −1 f(x) = 1−x if 1 x > 0 Find VaRo.05 (X) and ES0.05 (X).arrow_forwardJoy is making Christmas gifts. She has 6 1/12 feet of yarn and will need 4 1/4 to complete our project. How much yarn will she have left over compute this solution in two different ways arrow_forward
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