Applied Statistics in Business and Economics
5th Edition
ISBN: 9781259329050
Author: DOANE
Publisher: MCG
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Textbook Question
Chapter 14, Problem 15CR
(a) Explain how seasonal binaries can be used to model seasonal data. (b) What is the advantage of using seasonal binaries?
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Examine the Variables: Carefully review and note the names of all variables in the dataset. Examples of these variables include:
Mileage (mpg)
Number of Cylinders (cyl)
Displacement (disp)
Horsepower (hp)
Research: Google to understand these variables.
Statistical Analysis: Select mpg variable, and perform the following statistical tests. Once you are done with these tests using mpg variable, repeat the same with hp
Mean
Median
First Quartile (Q1)
Second Quartile (Q2)
Third Quartile (Q3)
Fourth Quartile (Q4)
10th Percentile
70th Percentile
Skewness
Kurtosis
Document Your Results:
In RStudio: Before running each statistical test, provide a heading in the format shown at the bottom. “# Mean of mileage – Your name’s command”
In Microsoft Word: Once you've completed all tests, take a screenshot of your results in RStudio and paste it into a Microsoft Word document. Make sure that snapshots are very clear. You will need multiple snapshots. Also transfer these results to the…
Examine the Variables: Carefully review and note the names of all variables in the dataset. Examples of these variables include:
Mileage (mpg)
Number of Cylinders (cyl)
Displacement (disp)
Horsepower (hp)
Research: Google to understand these variables.
Statistical Analysis: Select mpg variable, and perform the following statistical tests. Once you are done with these tests using mpg variable, repeat the same with hp
Mean
Median
First Quartile (Q1)
Second Quartile (Q2)
Third Quartile (Q3)
Fourth Quartile (Q4)
10th Percentile
70th Percentile
Skewness
Kurtosis
Document Your Results:
In RStudio: Before running each statistical test, provide a heading in the format shown at the bottom. “# Mean of mileage – Your name’s command”
In Microsoft Word: Once you've completed all tests, take a screenshot of your results in RStudio and paste it into a Microsoft Word document. Make sure that snapshots are very clear. You will need multiple snapshots. Also transfer these results to the…
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]
Chapter 14 Solutions
Applied Statistics in Business and Economics
Ch. 14.2 - Prob. 2SECh. 14.2 - Prob. 3SECh. 14.2 - Prob. 4SECh. 14.2 - Prob. 5SECh. 14.4 - (a) Make an Excel line graph of the exchange rate...Ch. 14.5 - Prob. 7SECh. 14 - Explain the difference between (a) stocks and...Ch. 14 - (a) What is periodicity? (b) Give original...Ch. 14 - (a) What are the distinguishing features of each...Ch. 14 - Name four criteria for assessing a trend forecast.
Ch. 14 - Name two advantages and two disadvantages of each...Ch. 14 - When would the exponential trend model be...Ch. 14 - Explain how to obtain the compound percent growth...Ch. 14 - (a) When might a quadratic model be useful? (b)...Ch. 14 - Name five measures of fit for a trend, and state...Ch. 14 - Prob. 10CRCh. 14 - Prob. 11CRCh. 14 - Prob. 12CRCh. 14 - (a) Why is seasonality irrelevant for annual data?...Ch. 14 - Prob. 14CRCh. 14 - (a) Explain how seasonal binaries can be used to...Ch. 14 - What is the purpose of index numbers?Ch. 14 - Prob. 10CECh. 14 - Prob. 11CECh. 14 - Prob. 12CECh. 14 - Prob. 14CECh. 14 - Prob. 15CECh. 14 - Prob. 16CECh. 14 - Prob. 17CECh. 14 - Prob. 18CECh. 14 - Prob. 19CECh. 14 - Prob. 20CECh. 14 - Prob. 21CECh. 14 - Prob. 22CECh. 14 - (a) Plot the data on skier/snowboard visits. (b)...Ch. 14 - Prob. 25CECh. 14 - (a) Use Excel, MegaStat, or MINITAB to fit an...Ch. 14 - Prob. 27CECh. 14 - Prob. 28CECh. 14 - Prob. 29CECh. 14 - Prob. 30CECh. 14 - (a) Plot the data on revolving credit (credit...
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- 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.arrow_forward9 (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.arrow_forward7 (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_forward
- 1 (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_forwardSolve for X. Explain each step. 2^2x • 2^-4=8arrow_forward
- One hundred people were surveyed, and one question pertained to their educational background. The results of this question and their genders are given in the following table. Female (F) Male (F′) Total College degree (D) 30 20 50 No college degree (D′) 30 20 50 Total 60 40 100 If a person is selected at random from those surveyed, find the probability of each of the following events.1. The person is female or has a college degree. Answer: equation editor Equation Editor 2. The person is male or does not have a college degree. Answer: equation editor Equation Editor 3. The person is female or does not have a college degree.arrow_forwardneed help with part barrow_forwardSuppose you know that Bob's test score is above the mean, but he doesn't remember by how much. At least how many students must score lower than Bob?arrow_forward
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