Statistics: The Art and Science of Learning from Data (4th Edition)
4th Edition
ISBN: 9780321997838
Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg
Publisher: PEARSON
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Chapter 1.1, Problem 1PB
Aspirin and heart attacks The Harvard Medical School study mentioned in Scenario 2 included about 22,000 male physicians. Whether a given individual would be assigned to take aspirin or the placebo was determined by flipping a coin. As a result, about 11,000 physicians were assigned to take aspirin and about 11,000 to take the placebo. The researchers summarized the results of the experiment by using percentages. Of the physicians taking aspirin, 0.9% had a heart attack, compared to 1.7% of those taking the placebo. Based on the observed results, the study authors concluded that taking aspirin reduces the risk of having a heart attack. Specify the aspect of this study that pertains to (a) design, (b) description, and (c) inference.
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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)
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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
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the return of A and B is -1.
Chapter 1 Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
Ch. 1.1 - Aspirin and heart attacks The Harvard Medical...Ch. 1.1 - Poverty and race The Current Population Survey...Ch. 1.1 - GSS and heaven Go to the General Social Survey...Ch. 1.1 - GSS and heaven and hell Refer to the previous...Ch. 1.1 - GSS for subject you pick At the GSS website, click...Ch. 1.2 - Description and inference a. Distinguish between...Ch. 1.2 - Censorship The General Social Survey in 2012 asked...Ch. 1.2 - Concerned about global warming? The Institute for...Ch. 1.2 - Graduate school information Suppose a liberal arts...Ch. 1.2 - Prob. 10PB
Ch. 1.2 - Prob. 11PBCh. 1.2 - At what age did women marry? A historian wants to...Ch. 1.2 - Prob. 13PBCh. 1.2 - National service Consider the population of all...Ch. 1.2 - Samples vary less with more data Well see that the...Ch. 1.2 - Comparing polls The following table shows the...Ch. 1.2 - Prob. 18PBCh. 1.2 - Smoking cessation A study published in 2010 in The...Ch. 1.3 - Prob. 20PBCh. 1.3 - Shopping sales data file Construct a data file...Ch. 1.3 - Sample with caution Individuals with children who...Ch. 1.3 - Prob. 23PBCh. 1.3 - Use a data file with software You may need to...Ch. 1.3 - Prob. 25PBCh. 1.3 - Ebola outbreaks Ebola virus disease outbreaks have...Ch. 1 - UW Student survey In a University of Wisconsin...Ch. 1 - Euthanasia The General Social Survey asked, in...Ch. 1 - Prob. 30CPCh. 1 - Breaking down Brown versus Whitman Example 2 of...Ch. 1 - Online learning Your university is interested in...Ch. 1 - Prob. 33CPCh. 1 - Prob. 34CPCh. 1 - Prob. 35CPCh. 1 - True or false? In a particular study, you could...Ch. 1 - Prob. 39CPCh. 1 - Prob. 40CP
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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
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