Elementary Statistics Using The Ti-83/84 Plus Calculator, Books A La Carte Edition (5th Edition)
5th Edition
ISBN: 9780134688886
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 3.3, Problem 29BSC
Boxplots. In Exercises 29–32, use the given data to construct a boxplot and identify the 5-number summary.
29. Speed Dating The following are the ratings of males by females in an experiment involving speed dating.
2.0 3.0 4.0 5.0 6.0 6.0 7.0 7.0 7.0 7.0 7.0 7.0 8.0 8.0 8.0 8.0 9.0 9.5 10.0 10.0
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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
linear regression model is proposed:
The analyst fits the model and obtains:
•
Ŷ50,000+150X
YBoB₁X + €
•
R² = 0.76
• Residuals show a fan-shaped pattern when plotted against fitted values.
Questions:
a) Interpret the slope coefficient in context.
b) Explain what the R² value tells us about the model's performance.
c) Based on the residual pattern, what regression assumption is likely violated? What might be the
consequence?
d) Suggest at least two remedies to improve the model, based on the residual analysis.
Chapter 3 Solutions
Elementary Statistics Using The Ti-83/84 Plus Calculator, Books A La Carte Edition (5th Edition)
Ch. 3.1 - Prob. 1BSCCh. 3.1 - Prob. 2BSCCh. 3.1 - Measures of Center In what sense are the mean,...Ch. 3.1 - Prob. 4BSCCh. 3.1 - Critical Thinking. For Exercises 520, watch out...Ch. 3.1 - Prob. 6BSCCh. 3.1 - Critical Thinking. For Exercises 520, watch out...Ch. 3.1 - Prob. 8BSCCh. 3.1 - Prob. 9BSCCh. 3.1 - Critical Thinking. For Exercises 520, watch out...
Ch. 3.1 - Critical Thinking. For Exercises 520, watch out...Ch. 3.1 - Prob. 12BSCCh. 3.1 - Prob. 13BSCCh. 3.1 - Prob. 14BSCCh. 3.1 - Critical Thinking. For Exercises 520, watch out...Ch. 3.1 - Critical Thinking. For Exercises 520, watch out...Ch. 3.1 - Prob. 17BSCCh. 3.1 - Critical Thinking. For Exercises 520, watch out...Ch. 3.1 - Prob. 19BSCCh. 3.1 - Critical Thinking. For Exercises 520, watch out...Ch. 3.1 - Prob. 21BSCCh. 3.1 - In Exercises 2124, find the mean and median for...Ch. 3.1 - Prob. 23BSCCh. 3.1 - In Exercises 2124, find the mean and median for...Ch. 3.1 - Prob. 25BSCCh. 3.1 - Prob. 26BSCCh. 3.1 - Prob. 27BSCCh. 3.1 - Prob. 28BSCCh. 3.1 - Prob. 29BSCCh. 3.1 - In Exercises 2932, find the mean of the data...Ch. 3.1 - Prob. 31BSCCh. 3.1 - Prob. 32BSCCh. 3.1 - Prob. 33BSCCh. 3.1 - Prob. 34BSCCh. 3.1 - Prob. 35BBCh. 3.1 - Prob. 36BBCh. 3.1 - Trimmed Mean Because the mean is very sensitive to...Ch. 3.1 - Prob. 38BBCh. 3.1 - Prob. 39BBCh. 3.1 - Prob. 40BBCh. 3.1 - Prob. 41BBCh. 3.2 - Range Rule of Thumb for Estimating s The 20 brain...Ch. 3.2 - Range Rule of Thumb for Interpreting s The 20...Ch. 3.2 - Variance The 20 subjects used in Data Set 8 IQ and...Ch. 3.2 - Symbols Identify the symbols used for each of the...Ch. 3.2 - In Exercises 520, find the range, variance, and...Ch. 3.2 - In Exercises 520, find the range, variance, and...Ch. 3.2 - In Exercises 520, find the range, variance, and...Ch. 3.2 - In Exercises 520, find the range, variance, and...Ch. 3.2 - Prob. 9BSCCh. 3.2 - Prob. 10BSCCh. 3.2 - Prob. 11BSCCh. 3.2 - Prob. 12BSCCh. 3.2 - Prob. 13BSCCh. 3.2 - Prob. 14BSCCh. 3.2 - Prob. 15BSCCh. 3.2 - Prob. 16BSCCh. 3.2 - Prob. 17BSCCh. 3.2 - Prob. 18BSCCh. 3.2 - Prob. 19BSCCh. 3.2 - In Exercises 520, find the range, variance, and...Ch. 3.2 - Prob. 21BSCCh. 3.2 - In Exercises 2124, find the coefficient of...Ch. 3.2 - Prob. 23BSCCh. 3.2 - Prob. 24BSCCh. 3.2 - Prob. 25BSCCh. 3.2 - Prob. 26BSCCh. 3.2 - Prob. 27BSCCh. 3.2 - Prob. 28BSCCh. 3.2 - Prob. 29BSCCh. 3.2 - Prob. 30BSCCh. 3.2 - Prob. 31BSCCh. 3.2 - Prob. 32BSCCh. 3.2 - Prob. 33BSCCh. 3.2 - Prob. 34BSCCh. 3.2 - Prob. 35BSCCh. 3.2 - Prob. 36BSCCh. 3.2 - Prob. 37BSCCh. 3.2 - Prob. 38BSCCh. 3.2 - Finding Standard Deviation from a Frequency...Ch. 3.2 - Prob. 40BSCCh. 3.2 - Prob. 41BSCCh. 3.2 - Prob. 42BSCCh. 3.2 - Prob. 43BSCCh. 3.2 - Chebyshevs Theorem Based on Data Set 3 Body...Ch. 3.2 - Prob. 45BBCh. 3.2 - Prob. 46BBCh. 3.3 - z Scores LeBron James, one of the most successful...Ch. 3.3 - Heights The boxplot shown below results from the...Ch. 3.3 - Boxplot Comparison Refer to the boxplots shown...Ch. 3.3 - z Scores If your score on your next statistics...Ch. 3.3 - z Scores. In Exercises 5-8, express all z scores...Ch. 3.3 - z Scores. In Exercises 5-8, express all z scores...Ch. 3.3 - Prob. 7BSCCh. 3.3 - z Scores. In Exercises 5-8, express all z scores...Ch. 3.3 - Significant Values. In Exercises 9-12, consider a...Ch. 3.3 - Prob. 10BSCCh. 3.3 - Prob. 11BSCCh. 3.3 - Prob. 12BSCCh. 3.3 - Comparing Values. In Exercises 13-16, use z scores...Ch. 3.3 - Comparing Values. In Exercises 13-16, use z scores...Ch. 3.3 - Prob. 15BSCCh. 3.3 - Prob. 16BSCCh. 3.3 - Prob. 17BSCCh. 3.3 - Prob. 18BSCCh. 3.3 - Percentiles. In Exercises 1720, use the following...Ch. 3.3 - Prob. 20BSCCh. 3.3 - Prob. 21BSCCh. 3.3 - In Exercises 2128, use the same list of Sprint...Ch. 3.3 - In Exercises 2128, use the same list of Sprint...Ch. 3.3 - Prob. 24BSCCh. 3.3 - Prob. 25BSCCh. 3.3 - Prob. 26BSCCh. 3.3 - Prob. 27BSCCh. 3.3 - Prob. 28BSCCh. 3.3 - Boxplots. In Exercises 2932, use the given data to...Ch. 3.3 - Boxplots. In Exercises 2932, use the given data to...Ch. 3.3 - Prob. 31BSCCh. 3.3 - Prob. 32BSCCh. 3.3 - Boxplots from Large Data Sets in Appendix B. In...Ch. 3.3 - Prob. 34BSCCh. 3.3 - Boxplots from Large Data Sets in Appendix B. In...Ch. 3.3 - Prob. 36BSCCh. 3.3 - Prob. 37BBCh. 3 - Prob. 1CQQCh. 3 - Sleep Median What is the median of the sample...Ch. 3 - Prob. 3CQQCh. 3 - Prob. 4CQQCh. 3 - Prob. 5CQQCh. 3 - Prob. 6CQQCh. 3 - Prob. 7CQQCh. 3 - Prob. 8CQQCh. 3 - Prob. 9CQQCh. 3 - Prob. 10CQQCh. 3 - Prob. 1RECh. 3 - Prob. 2RECh. 3 - Prob. 3RECh. 3 - Prob. 4RECh. 3 - Prob. 5RECh. 3 - Prob. 6RECh. 3 - Prob. 7RECh. 3 - Prob. 8RECh. 3 - Prob. 1CRECh. 3 - Prob. 2CRECh. 3 - Prob. 3CRECh. 3 - Prob. 4CRECh. 3 - Prob. 5CRECh. 3 - Normal Distribution Examine the distribution shown...Ch. 3 - Words Spoken by Men and Women Refer to Data Set 24...Ch. 3 - Prob. 1FDD
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