Modern Business Statistics with Microsoft Excel (MindTap Course List)
5th Edition
ISBN: 9781285433301
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams
Publisher: Cengage Learning
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Textbook Question
Chapter 6.2, Problem 16E
Given that z is a standard normal random variable, find z for each situation.
- a. The area to the right of z is .01.
- b. The area to the right of z is .025.
- c. The area to the right of z is .05.
- d. The area to the right of z is .10.
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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 6 Solutions
Modern Business Statistics with Microsoft Excel (MindTap Course List)
Ch. 6.1 - The random variable x is known to be uniformly...Ch. 6.1 - The random variable x is known to be uniformly...Ch. 6.1 - Cincinnati to Tampa Flight Time. Delta Airlines...Ch. 6.1 - Prob. 4ECh. 6.1 - 5. In October 2012, Apple introduced a much...Ch. 6.1 - 6. A Gallup Daily Tracking Survey found that the...Ch. 6.1 - 7. Suppose we are interested in bidding on a piece...Ch. 6.2 - Using Figure 6.4 as a guide, sketch a normal curve...Ch. 6.2 - A random variable is normally distributed with a...Ch. 6.2 - 10. Draw a graph for the standard normal...
Ch. 6.2 - 11. Given that z is a standard normal random...Ch. 6.2 - 12. Given that z is a standard normal random...Ch. 6.2 - 13. Given that z is a standard normal random...Ch. 6.2 - Prob. 14ECh. 6.2 - Given that z is a standard normal random variable,...Ch. 6.2 - Given that z is a standard normal random variable,...Ch. 6.2 - The mean cost of domestic airfares in the United...Ch. 6.2 - The average return for large-cap domestic stock...Ch. 6.2 - Prob. 19ECh. 6.2 - Gasoline Prices. Suppose that the average price...Ch. 6.2 - Mensa Membership. A person must score in the upper...Ch. 6.2 - Television Viewing. Suppose that the mean daily...Ch. 6.2 - Time to Complete Final Exam. The time needed to...Ch. 6.2 - Labor Day Travel Costs. The American Automobile...Ch. 6.2 - New York City is the most expensive city in the...Ch. 6.3 - 32. Consider the following exponential probability...Ch. 6.3 - Prob. 27ECh. 6.3 - 34. Battery life between charges for the Motorola...Ch. 6.3 - 35. The time between arrivals of vehicles at a...Ch. 6.3 - 36. Comcast Corporation is the largest cable...Ch. 6.3 - Collinas Italian Caf in Houston, Texas, advertises...Ch. 6.3 - 38. The Boston Fire Department receives 911 calls...Ch. 6 - 39. A business executive, transferred from Chicago...Ch. 6 - NCAA Scholarships. The NCAA estimates that the...Ch. 6 - Production Defects. Motorola used the normal...Ch. 6 - During early 2012, economic hardship was...Ch. 6 - The port of South Louisiana, located along 54...Ch. 6 - Service Contract Offer. Ward Doering Auto Sales is...Ch. 6 - Prob. 39SECh. 6 - College Admissions Test Scores. Assume that the...Ch. 6 - According to Salary Wizard, the average base...Ch. 6 - 48. A machine fills containers with a particular...Ch. 6 - Prob. 43SECh. 6 - Prob. 44SECh. 6 - Prob. 45SECh. 6 - 54. The time (in minutes) between telephone calls...
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