Statistics for Business & Economics, Revised (MindTap Course List)
12th Edition
ISBN: 9781285846323
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: South-Western College Pub
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Chapter 22.5, Problem 9E
a.
To determine
Obtain an approximate 95% confidence interval for the proportion in each stratum.
b.
To determine
Find a point estimate of the population proportion for the 550 elements in the population.
c.
To determine
Find the standard error of the population proportion.
d.
To determine
Obtain approximate 95% confidence interval for the population proportion.
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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 22 Solutions
Statistics for Business & Economics, Revised (MindTap Course List)
Ch. 22.4 - Simple random sampling was used to obtain a sample...Ch. 22.4 - Prob. 2ECh. 22.4 - Prob. 3ECh. 22.4 - Prob. 4ECh. 22.4 - Prob. 5ECh. 22.4 - Prob. 6ECh. 22.5 - A stratified simple random sample was taken with...Ch. 22.5 - Prob. 8ECh. 22.5 - Prob. 9ECh. 22.5 - Prob. 10E
Ch. 22.5 - A drug store chain has stores in four cities: 38...Ch. 22.5 - Prob. 12ECh. 22.5 - Prob. 13ECh. 22.6 - A sample of four clusters is to be taken from a...Ch. 22.6 - A sample of six clusters is to be taken from a...Ch. 22.6 - Prob. 16ECh. 22.6 - Prob. 17ECh. 22 - To assess consumer acceptance of a new series of...Ch. 22 - Prob. 19SECh. 22 - A quality of life survey was conducted with...Ch. 22 - A U.S. Senate Judiciary Committee report showed...Ch. 22 - Refer again to the data in exercise 21. a. Develop...Ch. 22 - Prob. 23SECh. 22 - Prob. 24SE
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