Elementary Statistics (13th Edition)
13th Edition
ISBN: 9780134462455
Author: Mario F. Triola
Publisher: PEARSON
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Textbook Question
Chapter 5.1, Problem 1BSC
Random Variable The accompanying table lists probabilities for the corresponding numbers of girls in four births. What is the random variable, what are its possible values, and are its values numerical?
Number of Girls in Four Births
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(c) Because logistic regression predicts probabilities of outcomes, observations used to build a logistic regression model need not be independent.
A. false: all observations must be independent
B. true
C. false: only observations with the same outcome need to be independent
I ANSWERED: A. false: all observations must be independent.
(This was marked wrong but I have no idea why. Isn't this a basic assumption of logistic regression)
Business discuss
Spam filters are built on principles similar to those used in logistic regression. We fit a probability that each message is spam or not spam. We have several variables for each email. Here are a few: to_multiple=1 if there are multiple recipients, winner=1 if the word 'winner' appears in the subject line, format=1 if the email is poorly formatted, re_subj=1 if "re" appears in the subject line. A logistic model was fit to a dataset with the following output:
Estimate
SE
Z
Pr(>|Z|)
(Intercept)
-0.8161
0.086
-9.4895
0
to_multiple
-2.5651
0.3052
-8.4047
0
winner
1.5801
0.3156
5.0067
0
format
-0.1528
0.1136
-1.3451
0.1786
re_subj
-2.8401
0.363
-7.824
0
(a) Write down the model using the coefficients from the model fit.log_odds(spam) = -0.8161 + -2.5651 + to_multiple + 1.5801 winner + -0.1528 format + -2.8401 re_subj(b) Suppose we have an observation where to_multiple=0, winner=1, format=0, and re_subj=0. What is the predicted probability that this message is spam?…
Chapter 5 Solutions
Elementary Statistics (13th Edition)
Ch. 5.1 - Random Variable The accompanying table lists...Ch. 5.1 - Discrete or Continuous? Is the random variable...Ch. 5.1 - Probability Distribution For the accompanying...Ch. 5.1 - Significant For 100 births, P(exactly 56 girls) =...Ch. 5.1 - Identifying Discrete and Continuous Random...Ch. 5.1 - Identifying Discrete and Continuous Random...Ch. 5.1 - Identifying Probability Distributions. In...Ch. 5.1 - Identifying Probability Distributions. In...Ch. 5.1 - Identifying Probability Distributions. In...Ch. 5.1 - Identifying Probability Distributions. In...
Ch. 5.1 - Identifying Probability Distributions. In...Ch. 5.1 - Identifying Probability Distributions. In...Ch. 5.1 - Identifying Probability Distributions. In...Ch. 5.1 - Identifying Probability Distributions. In...Ch. 5.1 - Genetics. In Exercises 1520, refer to the...Ch. 5.1 - Genetics. In Exercises 1520, refer to the...Ch. 5.1 - Genetics. In Exercises 1520, refer to the...Ch. 5.1 - Genetics. In Exercises 1520, refer to the...Ch. 5.1 - Genetics. In Exercises 1520, refer to the...Ch. 5.1 - Genetics. In Exercises 1520, refer to the...Ch. 5.1 - Sleepwalking. In Exercises 2125, refer to the...Ch. 5.1 - Sleepwalking. In Exercises 2125, refer to the...Ch. 5.1 - Sleepwalking. In Exercises 2125, refer to the...Ch. 5.1 - Sleepwalking. In Exercises 2125, refer to the...Ch. 5.1 - Sleepwalking. In Exercises 2125, refer to the...Ch. 5.1 - Expected Value for the Ohio Pick 4 Lottery In the...Ch. 5.1 - Expected Value in Virginias Pick 3 Game In...Ch. 5.1 - Expected Value in Roulette When playing roulette...Ch. 5.1 - Expected Value for Life Insurance There is a...Ch. 5.1 - Expected Value for Life Insurance There is a...Ch. 5.2 - Drone Deliveries Based on a Pitney Bowes survey,...Ch. 5.2 - Notation Assume that we want to find the...Ch. 5.2 - Independent Events Based on a Pitney Bowes survey,...Ch. 5.2 - Notation of 0 + Using the same survey from...Ch. 5.2 - Identifying Binomial Distributions. In Exercises...Ch. 5.2 - Identifying Binomial Distributions. In Exercises...Ch. 5.2 - Identifying Binomial Distributions. In Exercises...Ch. 5.2 - Identifying Binomial Distributions. In Exercises...Ch. 5.2 - Identifying Binomial Distributions. In Exercises...Ch. 5.2 - Identifying Binomial Distributions. In Exercises...Ch. 5.2 - Identifying Binomial Distributions. In Exercises...Ch. 5.2 - Identifying Binomial Distributions. In Exercises...Ch. 5.2 - Binomial Probability Formula. In Exercises 13 and...Ch. 5.2 - News Source Based on data from a Harris...Ch. 5.2 - SAT Test. In Exercises 1520, assume that random...Ch. 5.2 - SAT Test. In Exercises 1520, assume that random...Ch. 5.2 - SAT Test. In Exercises 1520, assume that random...Ch. 5.2 - SAT Test. In Exercises 1520, assume that random...Ch. 5.2 - SAT Test. In Exercises 1520, assume that random...Ch. 5.2 - SAT Test. In Exercises 1520, assume that random...Ch. 5.2 - In Exercises 2124, assume that when adults with...Ch. 5.2 - In Exercises 2124, assume that when adults with...Ch. 5.2 - In Exercises 2124, assume that when adults with...Ch. 5.2 - In Exercises 2124, assume that when adults with...Ch. 5.2 - Whitus v. Georgia In the classic legal case of...Ch. 5.2 - Vision Correction A survey sponsored by the Vision...Ch. 5.2 - See You Later Based on a Harris Interactive poll,...Ch. 5.2 - Too Young to Tat Based on a Harris poll, among...Ch. 5.2 - Significance with Range Rule of Thumb. In...Ch. 5.2 - Significance with Range Rule of Thumb. In...Ch. 5.2 - Significance with Range Rule of Thumb. In...Ch. 5.2 - Hybrids Assume that offspring peas are randomly...Ch. 5.2 - Composite Sampling. Exercises 33 and 34 involve...Ch. 5.2 - Anemia Based on data from Bloodjournal.org, 10% of...Ch. 5.2 - Acceptance Sampling. Exercises 35 and 36 involve...Ch. 5.2 - AAA Batteries AAA batteries are made by companies...Ch. 5.2 - MMs Data Set 27 MM Weights in Appendix B includes...Ch. 5.2 - Politics The County Clerk in Essex, New Jersey,...Ch. 5.2 - Perception and Reality In a presidential election,...Ch. 5.2 - Hybrids One of Mendels famous experiments with...Ch. 5.2 - Geometric Distribution If a procedure meets all...Ch. 5.2 - Multinomial Distribution The binomial distribution...Ch. 5.2 - Hypergeometric Distribution If we sample from a...Ch. 5.3 - Notation In analyzing hits by V-1 buzz bombs in...Ch. 5.3 - Tornadoes During a recent 64-year period, New...Ch. 5.3 - Poisson Probability Distribution The random...Ch. 5.3 - Probability if 0 For Formula 5-9, what does P(0)...Ch. 5.3 - Hurricanes. In Exercises 58, assume that the...Ch. 5.3 - Hurricanes a. Find the probability that in a year,...Ch. 5.3 - Hurricanes a. Find the probability that in a year,...Ch. 5.3 - Hurricanes a. Find the probability that in a year,...Ch. 5.3 - In Exercises 916, use the Poisson distribution to...Ch. 5.3 - Murders In a recent year, there were 333 murders...Ch. 5.3 - Radioactive Decay Radioactive atoms are unstable...Ch. 5.3 - Deaths from Horse Kicks A classical example of the...Ch. 5.3 - World War II Bombs In Exercise 1Notation we noted...Ch. 5.3 - Disease Cluster Neuroblastoma, a rare form of...Ch. 5.3 - Car Fatalities The recent rate of car fatalities...Ch. 5.3 - Checks In a recent year, the author wrote 181...Ch. 5.3 - Powerball: Poisson Approximation to Binomial There...Ch. 5 - Is a probability distribution defined if the only...Ch. 5 - There are 80 questions from an SAT test, and they...Ch. 5 - Are the values Found in Exercise 2 statistics or...Ch. 5 - Using the same SAT questions described in Exercise...Ch. 5 - Using the same SAT questions described in Exercise...Ch. 5 - In Exercises 610, use the following: Five American...Ch. 5 - In Exercises 610, use the following: Five American...Ch. 5 - Based on the table, the standard deviation is 0.9...Ch. 5 - 9. What does the probability of 0+ indicate? Does...Ch. 5 - In Exercises 6-10, use the following: Five...Ch. 5 - In Exercises 15, assume that 74% of randomly...Ch. 5 - In Exercises 15, assume that 74% of randomly...Ch. 5 - In Exercises 15, assume that 74% of randomly...Ch. 5 - In Exercises 15, assume that 74% of randomly...Ch. 5 - In Exercises 15, assume that 74% of randomly...Ch. 5 - Security Survey In a USA Today poll, subjects were...Ch. 5 - Brand Recognition In a study of brand recognition...Ch. 5 - Family/Partner Groups of people aged 1565 are...Ch. 5 - Detecting Fraud The Brooklyn District Attorneys...Ch. 5 - Poisson: Deaths Currently, an average of 7...Ch. 5 - Planets The planets of the solar system have the...Ch. 5 - South Carolina Pick 3 In South Carolinas Pick 3...Ch. 5 - Tennis Challenge In a recent U.S. Open tennis...Ch. 5 - Job Applicants The Society for Human Resource...Ch. 5 - Bar Graph Fox News broadcast a graph similar to...Ch. 5 - Washing Hands Based on results from a Bradley...Ch. 5 - Overbooking Flights American Airlines Flight 171...Ch. 5 - Critical Thinking: Did Mendels results from plant...
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