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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Textbook Question
Chapter 2, Problem 35E
Weather forecasts Just how accurate are the weather forecasts we hear every day? The following table compares the daily forecast with a city’s actual weather for a year:
- a) On what percent of days did it actually rain?
- b) On what percent of days was rain predicted?
- c) What percent of the time was the forecast correct?
- d) Do you see evidence of an association between the type of weather and the ability of forecasters to make an accurate prediction? Write a brief explanation, including an appropriate graph.
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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 2 Solutions
Intro STATS, Books a la Carte Plus New Mystatlab with Pearson Etext -- Access Card Package
Ch. 2.2 - A statistics class reports the following data on...Ch. 2.2 - A statistics class reports the following data on...Ch. 2.2 - A statistics class reports the following data on...Ch. 2.2 - Prob. 4JCCh. 2.2 - Prob. 5JCCh. 2.2 - A statistics class reports the following data on...Ch. 2.2 - Prob. 7JCCh. 2 - Prob. 1ECh. 2 - Prob. 2ECh. 2 - Prob. 3E
Ch. 2 - Marriage in decline Changing attitudes about...Ch. 2 - 5. Movies again The following table summarizes 348...Ch. 2 - Prob. 6ECh. 2 - Prob. 11ECh. 2 - 12. Movie ratings The pie chart shows the ratings...Ch. 2 - Prob. 13ECh. 2 - Prob. 14ECh. 2 - Prob. 15ECh. 2 - Prob. 16ECh. 2 - Prob. 17ECh. 2 - Prob. 18ECh. 2 - Prob. 19ECh. 2 - Prob. 20ECh. 2 - Prob. 21ECh. 2 - Modalities A survey of athletic trainers asked...Ch. 2 - Prob. 23ECh. 2 - Prob. 24ECh. 2 - Prob. 25ECh. 2 - Prob. 26ECh. 2 - Prob. 27ECh. 2 - Politics Students in an Intro Stats course were...Ch. 2 - More about seniors Look again at the table of...Ch. 2 - Politics revisited Look again at the table of...Ch. 2 - Prob. 31ECh. 2 - More politics Look once more at the table...Ch. 2 - Prob. 33ECh. 2 - Parking lots A survey of autos parked in student...Ch. 2 - Weather forecasts Just how accurate are the...Ch. 2 - Prob. 36ECh. 2 - Blood pressure A company held a blood pressure...Ch. 2 - Prob. 38ECh. 2 - Prob. 39ECh. 2 - Antidepressants and bone fractures For a period of...Ch. 2 - Prob. 41ECh. 2 - Prob. 42ECh. 2 - Hospitals Most patients who undergo surgery make...Ch. 2 - Delivery service A company must decide which of...Ch. 2 - Graduate admissions A 1975 article in the magazine...Ch. 2 - Be a Simpson Can you design a Simpsons paradox?...
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