Developmental Mathematics (9th Edition)
9th Edition
ISBN: 9780321997173
Author: Marvin L. Bittinger, Judith A. Beecher
Publisher: PEARSON
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Chapter F, Problem 9DE
To determine
To calculate: The factor of
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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 F Solutions
Developmental Mathematics (9th Edition)
Ch. F - Prob. 1DECh. F - Prob. 2DECh. F - Prob. 3DECh. F - Prob. 4DECh. F - Prob. 5DECh. F - Prob. 6DECh. F - Prob. 7DECh. F - Prob. 8DECh. F - Prob. 9DECh. F - Prob. 10DE
Ch. F - Prob. 1ESCh. F - Prob. 2ESCh. F - Prob. 3ESCh. F - Prob. 4ESCh. F - Prob. 5ESCh. F - Prob. 6ESCh. F - Prob. 7ESCh. F - Prob. 8ESCh. F - Prob. 9ESCh. F - Prob. 10ESCh. F - Prob. 11ESCh. F - Prob. 12ESCh. F - Prob. 13ESCh. F - Prob. 14ESCh. F - Prob. 15ESCh. F - Prob. 16ESCh. F - Prob. 17ESCh. F - Prob. 18ESCh. F - Prob. 19ESCh. F - Prob. 20ESCh. F - Prob. 21ESCh. F - Prob. 22ESCh. F - Prob. 23ESCh. F - Prob. 24ESCh. F - Prob. 25ESCh. F - Prob. 26ESCh. F - Prob. 27ESCh. F - Prob. 28ESCh. F - Prob. 29ESCh. F - Prob. 30ESCh. F - Prob. 31ESCh. F - Prob. 32ESCh. F - Prob. 33ESCh. F - Prob. 34ESCh. F - Prob. 35ESCh. F - Prob. 36ESCh. F - Prob. 37ESCh. F - Prob. 38ESCh. F - Prob. 39ESCh. F - Prob. 40ESCh. F - Prob. 41ESCh. F - Prob. 42ESCh. F - Prob. 43ESCh. F - Prob. 44ESCh. F - Prob. 45ESCh. F - Prob. 46ESCh. F - Prob. 47ESCh. F - Prob. 48ESCh. F - Prob. 49ESCh. F - Prob. 50ES
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