Intro STATS, Books a la Carte Plus New Mystatlab with Pearson Etext -- Access Card Package
4th Edition
ISBN: 9780321869852
Author: Richard D. De Veaux
Publisher: PEARSON
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Chapter 3, Problem 37E
To determine
Identify the summary statistic used by each group.
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3. Bayesian Inference – Updating Beliefs
A medical test for a rare disease has the following characteristics:
Sensitivity (true positive rate): 99%
Specificity (true negative rate): 98%
The disease occurs in 0.5% of the population.
A patient receives a positive test result.
Questions:
a) Define the relevant events and use Bayes’ Theorem to compute the probability that the patient actually has the disease.b) Explain why the result might seem counterintuitive, despite the high sensitivity and specificity.c) Discuss how prior probabilities influence posterior beliefs in Bayesian inference.d) Suppose a second, independent test with the same accuracy is conducted and is also positive. Update the probability that the patient has the disease.
4. Linear Regression - Model Assumptions and Interpretation
A real estate analyst is studying how house prices (Y) are related to house size in square feet (X). A simple
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The analyst fits the model and obtains:
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Ŷ50,000+150X
YBoB₁X + €
•
R² = 0.76
• Residuals show a fan-shaped pattern when plotted against fitted values.
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Chapter 3 Solutions
Intro STATS, Books a la Carte Plus New Mystatlab with Pearson Etext -- Access Card Package
Ch. 3.2 - Prob. 1JCCh. 3.2 - Prob. 2JCCh. 3.2 - Prob. 3JCCh. 3.2 - Prob. 4JCCh. 3.2 - Prob. 5JCCh. 3.7 - The U.S. Census Bureau reports the median family...Ch. 3.7 - Prob. 7JCCh. 3.7 - Prob. 8JCCh. 3 - Prob. 1ECh. 3 - 2. Opposites In a way, boxplots are the opposite...
Ch. 3 - Prob. 3ECh. 3 - Prob. 4ECh. 3 - Prob. 5ECh. 3 - Prob. 6ECh. 3 - Prob. 7ECh. 3 - Prob. 8ECh. 3 - Thinking about shape Would you expect...Ch. 3 - More shapes Would you expect distributions of...Ch. 3 - Prob. 15ECh. 3 - Prob. 16ECh. 3 - Prob. 17ECh. 3 - Run times One of the authors collected the times...Ch. 3 - Heart attack stays The histogram shows the lengths...Ch. 3 - 20. E-mails A university teacher saved every...Ch. 3 - Prob. 21ECh. 3 - Prob. 22ECh. 3 - Prob. 23ECh. 3 - Prob. 24ECh. 3 - Mistake A clerk entering salary data into a...Ch. 3 - Prob. 26ECh. 3 - Prob. 27ECh. 3 - Prob. 28ECh. 3 - Pizza prices The histogram shows the distribution...Ch. 3 - Neck size The histogram shows the neck sizes (in...Ch. 3 - Pizza prices again Look again at the histogram of...Ch. 3 - Neck sizes again Look again at the histogram of...Ch. 3 - Movie lengths 2010 The histogram shows the running...Ch. 3 - 34. Golf drives 2011 The display shows the average...Ch. 3 - Prob. 35ECh. 3 - Prob. 36ECh. 3 - Prob. 37ECh. 3 - Cold weather A meteorologist preparing a talk...Ch. 3 - Prob. 39ECh. 3 - Prob. 40ECh. 3 - Prob. 41ECh. 3 - The great one During his 20 seasons in the NHL,...Ch. 3 - Prob. 43ECh. 3 - Prob. 44ECh. 3 - Prob. 45ECh. 3 - Prob. 46ECh. 3 - Prob. 47ECh. 3 - Prob. 48ECh. 3 - Prob. 49ECh. 3 - Prob. 50ECh. 3 - Prob. 51ECh. 3 - Prob. 52ECh. 3 - Prob. 53ECh. 3 - Prob. 54ECh. 3 - Prob. 55ECh. 3 - ZIP codes revisited Here are some summary...Ch. 3 - Prob. 57ECh. 3 - Prob. 58ECh. 3 - Prob. 59ECh. 3 - Prob. 60E
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