Stats: Data And Models Plus Mylab Statistics With Pearson Etext -- Access Card Package (5th Edition)
5th Edition
ISBN: 9780135256213
Author: Richard D. De Veaux, Paul F. Velleman, David E. Bock
Publisher: PEARSON
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Chapter 27, Problem 3E
To determine
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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 27 Solutions
Stats: Data And Models Plus Mylab Statistics With Pearson Etext -- Access Card Package (5th Edition)
Ch. 27.1 - Prob. 1JCCh. 27.1 - Prob. 2JCCh. 27.1 - Prob. 3JCCh. 27.1 - Prob. 4JCCh. 27.1 - Prob. 5JCCh. 27.2 - Prob. 6JCCh. 27.2 - Prob. 7JCCh. 27.2 - The bank vice president from the previous Just...Ch. 27.2 - The bank vice president from the previous Just...Ch. 27.2 - The bank vice president from the previous Just...
Ch. 27.3 - The vice president is interested in using a tree...Ch. 27.3 - The vice president is interested in using a tree...Ch. 27.3 - The vice president is interested in using a tree...Ch. 27.3 - Our vice president is back with a couple of...Ch. 27.3 - Our vice president is back with a couple of...Ch. 27.4 - And …
Which of the 1000 trees that the Random...Ch. 27.4 - Prob. 17JCCh. 27 - Prob. 1ECh. 27 - Prob. 2ECh. 27 - Prob. 3ECh. 27 - Is any one portion of the CRISP-DM more important...Ch. 27 - Prob. 5ECh. 27 - Prob. 6ECh. 27 - Prob. 7ECh. 27 - Prob. 8ECh. 27 - Prob. 9E
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