Intro STATS, Books a la Carte Plus New Mystatlab with Pearson Etext -- Access Card Package
4th Edition
ISBN: 9780321869852
Author: Richard D. De Veaux
Publisher: PEARSON
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Chapter 16, Problem 15E
Confidence intervals Several factors are involved in the creation of a confidence interval. Among them are the
- a) For a given sample size, higher confidence means a smaller margin of error.
- b) For a specified confidence level, larger samples provide smaller margins of error.
- c) For a fixed margin of error, larger samples provide greater confidence.
- d) For a given confidence level, halving the margin of error requires a sample twice as large.
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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 16 Solutions
Intro STATS, Books a la Carte Plus New Mystatlab with Pearson Etext -- Access Card Package
Ch. 16.1 - A Pew Research study regarding cell phones asked...Ch. 16.1 - Prob. 2JCCh. 16.1 - A Pew Research study regarding cell phones asked...Ch. 16.1 - Prob. 4JCCh. 16.1 - Prob. 5JCCh. 16.2 - Prob. 6JCCh. 16.2 - Prob. 7JCCh. 16.2 - Prob. 8JCCh. 16 - Prob. 1ECh. 16 - Prob. 2E
Ch. 16 - Prob. 3ECh. 16 - Prob. 4ECh. 16 - Prob. 5ECh. 16 - 6. I asked, “How’s life?” In the Gallup poll...Ch. 16 - Prob. 7ECh. 16 - Prob. 8ECh. 16 - Margin of error A TV newscaster reports the...Ch. 16 - Another margin of error A medical researcher...Ch. 16 - Conditions For each situation described below,...Ch. 16 - More conditions Consider each situation described....Ch. 16 - Conclusions A catalog sales company promises to...Ch. 16 - More conclusions In January 2002, two students...Ch. 16 - Confidence intervals Several factors are involved...Ch. 16 - Confidence intervals, again Several factors are...Ch. 16 - Cars What fraction of cars made in Japan? The...Ch. 16 - Prob. 18ECh. 16 - Prob. 19ECh. 16 - Prob. 20ECh. 16 - Prob. 21ECh. 16 - Prob. 22ECh. 16 - 23. Contributions, please The Paralyzed Veterans...Ch. 16 - Take the offer First USA, a major credit card...Ch. 16 - Teenage drivers An insurance company checks police...Ch. 16 - Junk mail Direct mail advertisers send...Ch. 16 - Prob. 27ECh. 16 - Prob. 28ECh. 16 - Prob. 29ECh. 16 - Gambling A city ballot includes a local initiative...Ch. 16 - Rickets Vitamin D, whether ingested as a dietary...Ch. 16 - Teachers A 2011 Gallup poll found that 76% of...Ch. 16 - Prob. 33ECh. 16 - Back to campus ACT, Inc. reported that 74% of 1644...Ch. 16 - Deer ticks Wildlife biologists inspect 153 deer...Ch. 16 - Prob. 36ECh. 16 - Graduation Its believed that as many as 25% of...Ch. 16 - Hiring In preparing a report on the economy, we...Ch. 16 - Prob. 39ECh. 16 - Prob. 40ECh. 16 - Prob. 41ECh. 16 - Another pilot study During routine screening, a...Ch. 16 - Prob. 43ECh. 16 - Amendment A TV news reporter says that a proposed...
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