STATS:DATA+MODELS-W/DVD
4th Edition
ISBN: 9780321986498
Author: DeVeaux
Publisher: PEARSON
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Chapter 2, Problem 24E
To determine
Explain whether there is women or men more in the survey.
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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
STATS:DATA+MODELS-W/DVD
Ch. 2.2 - A statistics class reports the following data on...Ch. 2.2 - Prob. 2JCCh. 2.2 - Prob. 3JCCh. 2.2 - Prob. 4JCCh. 2.2 - Prob. 5JCCh. 2.2 - Prob. 6JCCh. 2.2 - Prob. 7JCCh. 2 - Prob. 1ECh. 2 - Nonoccupant fatalities The frequencies of traffic...Ch. 2 - Movie genres The Motion Picture Association of...
Ch. 2 - 6. Marriage in decline Changing attitudes about...Ch. 2 - 5. Movies again The following table summarizes 348...Ch. 2 - 6. Labor force The following table shows the labor...Ch. 2 - 11. Movie genres II The pie chart summarizes the...Ch. 2 - Movie ratings The pie chart shows the ratings...Ch. 2 - 13. Genres again Here is a bar chart summarizing...Ch. 2 - Ratings again Here is a bar chart of the movie...Ch. 2 - 37. Magnet schools An article in the Winter 2003...Ch. 2 - 38. Magnet schools again The Chance article about...Ch. 2 - Causes of death 2011 The Centers for Disease...Ch. 2 - Plane crashes An investigation compiled...Ch. 2 - Oil spills 2013 Data from the International Tanker...Ch. 2 - 20. Winter Olympics 2010 Twenty-six countries won...Ch. 2 - 21. Global warming The Pew Research Center for the...Ch. 2 - 44. Modalities A survey of athletic trainers asked...Ch. 2 - 23. Teen smokers The organization Monitoring the...Ch. 2 - 26. Handguns In an effort to reduce the number of...Ch. 2 - 25. Movies by genre and rating Here’s a table that...Ch. 2 - 26. The last picture show Here’s another table...Ch. 2 - 29. Seniors Prior to graduation, a high school...Ch. 2 - 30. Politics Students in an Intro Stats course...Ch. 2 - Prob. 29ECh. 2 - 34. Politics revisited Look again at the table of...Ch. 2 - Prob. 31ECh. 2 - 36. More politics Look once more at the table...Ch. 2 - 37. Back to school Examine the table about...Ch. 2 - 38. Parking lots A survey of autos parked in...Ch. 2 - Prob. 35ECh. 2 - 40. Twin births In 2000, the Journal of the...Ch. 2 - Prob. 37ECh. 2 - 42. Obesity and exercise The Centers for Disease...Ch. 2 - 43. Anorexia Hearing anecdotal reports that some...Ch. 2 - Prob. 40ECh. 2 - 41. Drivers’ licenses 2011 The table on the next...Ch. 2 - 46. Tattoos A study by the University of Texas...Ch. 2 - Prob. 43ECh. 2 - 50. Delivery service A company must decide which...Ch. 2 - 51. Graduate admissions A 1975 article in the...Ch. 2 - 52. Be a Simpson Can you design a Simpson’s...
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