Statistics: Informed Decisions Using Data (5th Edition)
5th Edition
ISBN: 9780134133539
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 2.3, Problem 1AYU
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To explain: An ogive.
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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 2 Solutions
Statistics: Informed Decisions Using Data (5th Edition)
Ch. 2.1 - 1. Define raw data in your own words.
Ch. 2.1 - 2. A frequency distribution lists the _____ of...Ch. 2.1 - 3. In a relative frequency distribution, what...Ch. 2.1 - Prob. 4AYUCh. 2.1 - 5. Flu Season The pie chart shown, the type we see...Ch. 2.1 - 6. Cosmetic Surgery This USA Today–type chart...Ch. 2.1 - 7. Most Valuable Player The following Pareto chart...Ch. 2.1 - 8. Poverty The U.S. Census Bureau uses money...Ch. 2.1 - 9. Divorce The following graph represents the...Ch. 2.1 - Prob. 10AYU
Ch. 2.1 - 11. Made in America A random sample of 2163 adults...Ch. 2.1 - Prob. 12AYUCh. 2.1 - 13. College Survey In a national survey conducted...Ch. 2.1 - 14. College Survey In a national survey conducted...Ch. 2.1 - Prob. 15AYUCh. 2.1 - Prob. 16AYUCh. 2.1 - 17. Texting A survey of U.S. adults and teens...Ch. 2.1 - 18. Educational Attainment The educational...Ch. 2.1 - Prob. 19AYUCh. 2.1 - Prob. 20AYUCh. 2.1 - Prob. 21AYUCh. 2.1 - Prob. 22AYUCh. 2.1 - Prob. 23AYUCh. 2.1 - 24. Blood Type A phlebotomist draws the blood of a...Ch. 2.1 - Prob. 25AYUCh. 2.1 - Prob. 26AYUCh. 2.1 - 27. StatCrunch Survey Choose a qualitative...Ch. 2.1 - Prob. 28AYUCh. 2.1 - 29. Putting It Together: Online Homework Keeping...Ch. 2.1 - 30. When should relative frequencies be used when...Ch. 2.1 - Prob. 31AYUCh. 2.1 - Prob. 32AYUCh. 2.1 - Prob. 33AYUCh. 2.2 - 1. The categories by which data are grouped are...Ch. 2.2 - Prob. 2AYUCh. 2.2 - 3. The ______ is the difference between...Ch. 2.2 - Prob. 4AYUCh. 2.2 - 5. True or False: There is not one particular...Ch. 2.2 - 6. True or False: Stem-and-leaf plots are...Ch. 2.2 - 7. True or False: The shape of the distribution...Ch. 2.2 - Prob. 8AYUCh. 2.2 - Prob. 9AYUCh. 2.2 - 10. Car Sales A car salesman records the number of...Ch. 2.2 - 11. IQ Scores The following frequency histogram...Ch. 2.2 - Prob. 12AYUCh. 2.2 - Prob. 13AYUCh. 2.2 - In Problems 13 and 14, for each variable...Ch. 2.2 - 15. Predicting School Enrollment To predict future...Ch. 2.2 - Prob. 16AYUCh. 2.2 - Prob. 17AYUCh. 2.2 - Prob. 18AYUCh. 2.2 - Prob. 19AYUCh. 2.2 - Prob. 20AYUCh. 2.2 - Prob. 21AYUCh. 2.2 - Prob. 22AYUCh. 2.2 - Prob. 23AYUCh. 2.2 - Prob. 24AYUCh. 2.2 - 25. Televisions in the Household A researcher with...Ch. 2.2 - 26. Waiting The data below represent the number of...Ch. 2.2 - 27. Gini Index The Gini Index is a measure of how...Ch. 2.2 - 28. Average Income The following data represent...Ch. 2.2 - 29. Cigarette Tax Rates The table shows the tax,...Ch. 2.2 - 30. Dividend Yield A dividend is a payment from a...Ch. 2.2 - Prob. 31AYUCh. 2.2 - Prob. 32AYUCh. 2.2 - Prob. 33AYUCh. 2.2 - Prob. 34AYUCh. 2.2 - Prob. 35AYUCh. 2.2 - Prob. 36AYUCh. 2.2 - Prob. 37AYUCh. 2.2 - Prob. 38AYUCh. 2.2 - Prob. 39AYUCh. 2.2 - Prob. 40AYUCh. 2.2 - Prob. 41AYUCh. 2.2 - Prob. 42AYUCh. 2.2 - Prob. 43AYUCh. 2.2 - Prob. 44AYUCh. 2.2 - Prob. 45AYUCh. 2.2 - 46. Waiting Draw a dot plot of the waiting data...Ch. 2.2 - 47. Putting It Together: Time Viewing a Web Page...Ch. 2.2 - Prob. 48AYUCh. 2.2 - Prob. 49AYUCh. 2.2 - Prob. 50AYUCh. 2.2 - Prob. 51AYUCh. 2.2 - 52. Describe the situations in which it is...Ch. 2.2 - Prob. 53AYUCh. 2.2 - Prob. 54AYUCh. 2.3 - 1. What is an ogive?
Ch. 2.3 - Prob. 2AYUCh. 2.3 - Prob. 3AYUCh. 2.3 - Prob. 4AYUCh. 2.3 - Prob. 5AYUCh. 2.3 - Prob. 6AYUCh. 2.3 - 7. Graduation Rates The following relative...Ch. 2.3 - Prob. 8AYUCh. 2.3 - 9. Misery Index The following time-series plot...Ch. 2.3 - Prob. 10AYUCh. 2.3 - Prob. 11AYUCh. 2.3 - In Problems 13–16, use the frequency distributions...Ch. 2.3 - Prob. 13AYUCh. 2.3 - Prob. 14AYUCh. 2.3 - Prob. 15AYUCh. 2.3 - Prob. 16AYUCh. 2.3 - Prob. 17AYUCh. 2.3 - Prob. 18AYUCh. 2.3 - 19. Putting It Together: Rates of Return of Stocks...Ch. 2.3 - Prob. 20AYUCh. 2.3 - Prob. 21AYUCh. 2.3 - Prob. 22AYUCh. 2.3 - Prob. 23AYUCh. 2.4 - 1. Inauguration Cost The following is a USA...Ch. 2.4 - 2. Burning Calories The following is a USA...Ch. 2.4 - Prob. 3AYUCh. 2.4 - Prob. 4AYUCh. 2.4 - Prob. 5AYUCh. 2.4 - Prob. 6AYUCh. 2.4 - Prob. 7AYUCh. 2.4 - 8. You Explain It! Oil Reserves The U.S. Strategic...Ch. 2.4 - Prob. 9AYUCh. 2.4 - Prob. 10AYUCh. 2.4 - Prob. 11AYUCh. 2.4 - Prob. 12AYUCh. 2.4 - Prob. 13AYUCh. 2.4 - Prob. 14AYUCh. 2.4 - Prob. 15AYUCh. 2.4 - Prob. 16AYUCh. 2 - Prob. 1RECh. 2 - Prob. 2RECh. 2 - Prob. 3RECh. 2 - 4. Political Affiliation One hundred randomly...Ch. 2 - 5. Family Size A random sample of 60 couples...Ch. 2 - Prob. 6RECh. 2 - Prob. 7RECh. 2 - Prob. 8RECh. 2 - Prob. 9RECh. 2 - Prob. 10RECh. 2 - Prob. 11RECh. 2 - Prob. 12RECh. 2 - Prob. 1CTCh. 2 - Prob. 2CTCh. 2 - Prob. 3CTCh. 2 - 4. The following data represent the number of cars...Ch. 2 - Prob. 5CTCh. 2 - Prob. 6CTCh. 2 - 7. The following data represent the time (in...Ch. 2 - Prob. 8CTCh. 2 - Prob. 9CTCh. 2 - Prob. 1CSCh. 2 - Prob. 2CSCh. 2 - Prob. 3CSCh. 2 - Prob. 4CSCh. 2 - Prob. 5CSCh. 2 - Prob. 6CS
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