INTRODUCTORY STATISTICS (LOOSELEAF)
3rd Edition
ISBN: 9780135163146
Author: Gould
Publisher: PEARSON
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Chapter 14, Problem 9SE
Semesters and Credits (Example 4) Figure A shows a
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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…
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.
Chapter 14 Solutions
INTRODUCTORY STATISTICS (LOOSELEAF)
Ch. 14 - Predicting Test Scores A professor tells his class...Ch. 14 - Used-Car Values A student wishes to buy a used...Ch. 14 - Height and Age (Example 1) A doctor says he can...Ch. 14 - Units and Semesters The registrar at a small...Ch. 14 - Prob. 5SECh. 14 - Prob. 6SECh. 14 - Prob. 7SECh. 14 - Prob. 8SECh. 14 - Semesters and Credits (Example 4) Figure A shows a...Ch. 14 - Prob. 10SE
Ch. 14 - Salaries Figure A shows a scatterplot of the...Ch. 14 - Prob. 12SECh. 14 - Wages of Twins Figure A shows a scatterplot of...Ch. 14 - Simulated Data Figure A shows a scatterplot of...Ch. 14 - Prob. 15SECh. 14 - Movie Budgets Do movies with bigger budgets tend...Ch. 14 - Education of Parents (Example 7) Each of 29...Ch. 14 - Education of Parents Refer to exercise 14.17 and...Ch. 14 - Student and Parent Heights A random sample of 29...Ch. 14 - Trash The weight of trash (in pounds) produced by...Ch. 14 - Prob. 21SECh. 14 - Prob. 22SECh. 14 - Trash and Confidence Intervals The output provided...Ch. 14 - Movie Budgets In exercise 14.16 you examined the...Ch. 14 - Predicted GPA A student who has been accepted by...Ch. 14 - Used BMWs A used-car dealer is purchasing 50 used...Ch. 14 - Predicted Height (Example 9) A mother wants to...Ch. 14 - Predicted GPA A dean of students at a college...Ch. 14 - Loggers A logging company has the diameter of each...Ch. 14 - Prob. 30SECh. 14 - House Prices (Example 10) Figure A contains the...Ch. 14 - Math SAT Score and GPA Figure A shows information...Ch. 14 - Height and Weight A scatterplot of the heights and...Ch. 14 - Waist Size and Weight A scatterplot of the waist...Ch. 14 - GPA and SAT The figure shows 95#37; prediction...Ch. 14 - Shoes and Heights The scatterplot shows shoe size...Ch. 14 - Height and Weight A scatterplot of the heights and...Ch. 14 - Waist Size and Weight A scatterplot of the waist...Ch. 14 - Baseball Players Figure A shows a scatterplot with...Ch. 14 - Predicting Education Figure A shows a scatterplot...Ch. 14 - Life Expectancy and Gestation Periods for Animals...Ch. 14 - Prob. 42CRE
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- 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.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_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_forward
- Joy 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_forwardOne 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_forward
- At the same restaurant as in Question 19 with the same normal distribution, what's the chance of it taking no more than 15 minutes to get service?arrow_forwardClint, obviously not in college, sleeps an average of 8 hours per night with a standard deviation of 15 minutes. What's the chance of him sleeping between 7.5 and 8.5 hours on any given night? 0-(7-0) 200 91109s and doiw $20 (8-0) mol 8520 slang $199 galbrog seam side pide & D (newid se od poyesvig as PELEO PER AFTE editiw noudab temand van Czarrow_forwardTimes to complete a statistics exam have a normal distribution with a mean of 40 minutes and standard deviation of 6 minutes. Deshawn's time comes in at the 90th percentile. What percentage of the students are still working on their exams when Deshawn leaves?arrow_forward
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