ELEMENTARY STATISTICS USING EXCEL
7th Edition
ISBN: 9780136921721
Author: Triola
Publisher: RENT PEARS
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Chapter 4, Problem 1RE
To determine
To find: The
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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?…
Consider an event X comprised of three outcomes whose probabilities are 9/18, 1/18,and 6/18.
Compute the probability of the complement of the event.
Question content area bottom
Part 1
A.1/2
B.2/18
C.16/18
D.16/3
Chapter 4 Solutions
ELEMENTARY STATISTICS USING EXCEL
Ch. 4.1 - Prob. 1BSCCh. 4.1 - 2. Probability Rewrite the following statement so...Ch. 4.1 - Prob. 3BSCCh. 4.1 - Prob. 4BSCCh. 4.1 - 5. Identifying Probability Values Which of the...Ch. 4.1 - 6. Penicillin “Who discovered penicillin: Sean...Ch. 4.1 - Prob. 7BSCCh. 4.1 - Prob. 8BSCCh. 4.1 - Prob. 9BSCCh. 4.1 - Prob. 10BSC
Ch. 4.1 - Prob. 11BSCCh. 4.1 - Prob. 12BSCCh. 4.1 - In Exercises 13-20, express the indicated degree...Ch. 4.1 - 14. SAT Test When making a random guess for an...Ch. 4.1 - Prob. 15BSCCh. 4.1 - Prob. 16BSCCh. 4.1 - 17. Randomness When using a computer to randomly...Ch. 4.1 - Prob. 18BSCCh. 4.1 - Prob. 19BSCCh. 4.1 - Prob. 20BSCCh. 4.1 - Prob. 21BSCCh. 4.1 - Prob. 22BSCCh. 4.1 - Prob. 23BSCCh. 4.1 - Prob. 24BSCCh. 4.1 - Prob. 25BSCCh. 4.1 - Prob. 26BSCCh. 4.1 - Prob. 27BSCCh. 4.1 - Prob. 28BSCCh. 4.1 - Prob. 29BSCCh. 4.1 - Prob. 30BSCCh. 4.1 - Prob. 31BSCCh. 4.1 - Prob. 32BSCCh. 4.1 - Prob. 33BSCCh. 4.1 - Prob. 34BSCCh. 4.1 - Prob. 35BSCCh. 4.1 - Prob. 36BSCCh. 4.1 - Prob. 37BSCCh. 4.1 - Prob. 38BSCCh. 4.1 - Prob. 39BSCCh. 4.1 - Prob. 40BSCCh. 4.1 - Prob. 41BBCh. 4.1 - Prob. 42BBCh. 4.1 - Prob. 43BBCh. 4.1 - Prob. 44BBCh. 4.2 - Prob. 1BSCCh. 4.2 - 2. Notation When randomly selecting adults, let M...Ch. 4.2 - Prob. 3BSCCh. 4.2 - Prob. 4BSCCh. 4.2 - Prob. 5BSCCh. 4.2 - Prob. 6BSCCh. 4.2 - Prob. 7BSCCh. 4.2 - Prob. 8BSCCh. 4.2 - Prob. 9BSCCh. 4.2 - Prob. 10BSCCh. 4.2 - Prob. 11BSCCh. 4.2 - Prob. 12BSCCh. 4.2 - Prob. 13BSCCh. 4.2 - Prob. 14BSCCh. 4.2 - Prob. 15BSCCh. 4.2 - Prob. 16BSCCh. 4.2 - Prob. 17BSCCh. 4.2 - Prob. 18BSCCh. 4.2 - Prob. 19BSCCh. 4.2 - Prob. 20BSCCh. 4.2 - Prob. 21BSCCh. 4.2 - Prob. 22BSCCh. 4.2 - Prob. 23BSCCh. 4.2 - In Exercises 21-24, use these results from the...Ch. 4.2 - Prob. 25BSCCh. 4.2 - Prob. 26BSCCh. 4.2 - Prob. 27BSCCh. 4.2 - Prob. 28BSCCh. 4.2 - Prob. 29BSCCh. 4.2 - Prob. 30BSCCh. 4.2 - Prob. 31BBCh. 4.2 - 32. Same Birthdays If 25 people are randomly...Ch. 4.2 - Prob. 33BBCh. 4.2 - Prob. 34BBCh. 4.3 - Prob. 1BSCCh. 4.3 - Prob. 2BSCCh. 4.3 - Prob. 3BSCCh. 4.3 - Prob. 4BSCCh. 4.3 - Prob. 5BSCCh. 4.3 - Prob. 6BSCCh. 4.3 - Prob. 7BSCCh. 4.3 - Prob. 8BSCCh. 4.3 - Prob. 9BSCCh. 4.3 - At Least One. In Exercises 5-12, find the...Ch. 4.3 - Prob. 11BSCCh. 4.3 - Prob. 12BSCCh. 4.3 - Denomination Effect. In Exercises 13-16, use the...Ch. 4.3 - Prob. 14BSCCh. 4.3 - Prob. 15BSCCh. 4.3 - Denomination Effect. In Exercises 13-16, use the...Ch. 4.3 - Prob. 17BSCCh. 4.3 - Prob. 18BSCCh. 4.3 - Prob. 19BSCCh. 4.3 - Prob. 20BSCCh. 4.3 - Prob. 21BSCCh. 4.3 - Prob. 22BSCCh. 4.3 - Prob. 23BSCCh. 4.3 - 24. Composite Water Samples The Fairfield County...Ch. 4.3 - Prob. 25BBCh. 4.3 - Prob. 26BBCh. 4.4 - Prob. 1BSCCh. 4.4 - Prob. 2BSCCh. 4.4 - Prob. 3BSCCh. 4.4 - Prob. 4BSCCh. 4.4 - Prob. 5BSCCh. 4.4 - 6. Social Security Numbers A Social Security...Ch. 4.4 - Prob. 7BSCCh. 4.4 - Prob. 8BSCCh. 4.4 - Prob. 9BSCCh. 4.4 - 10. Radio Station Call Letters If radio station...Ch. 4.4 - Prob. 11BSCCh. 4.4 - Prob. 12BSCCh. 4.4 - Prob. 13BSCCh. 4.4 - Prob. 14BSCCh. 4.4 - Prob. 15BSCCh. 4.4 - Prob. 16BSCCh. 4.4 - Prob. 17BSCCh. 4.4 - Prob. 18BSCCh. 4.4 - 19. ZIP Code If you randomly select five digits,...Ch. 4.4 - Prob. 20BSCCh. 4.4 - Prob. 21BSCCh. 4.4 - Prob. 22BSCCh. 4.4 - Prob. 23BSCCh. 4.4 - Prob. 24BSCCh. 4.4 - Prob. 25BSCCh. 4.4 - Prob. 26BSCCh. 4.4 - Prob. 27BSCCh. 4.4 - Prob. 28BSCCh. 4.4 - Prob. 29BSCCh. 4.4 - Prob. 31BSCCh. 4.4 - Prob. 32BSCCh. 4.4 - Prob. 33BSCCh. 4.4 - Prob. 34BSCCh. 4.4 - Prob. 35BSCCh. 4.4 - Prob. 36BSCCh. 4.4 - Prob. 37BBCh. 4.4 - Prob. 38BBCh. 4.4 - Prob. 39BBCh. 4.5 - Prob. 1BSCCh. 4.5 - Prob. 2BSCCh. 4.5 - Prob. 3BSCCh. 4.5 - Prob. 4BSCCh. 4.5 - Prob. 5BSCCh. 4.5 - Prob. 6BSCCh. 4.5 - Prob. 7BSCCh. 4.5 - Prob. 8BSCCh. 4.5 - Prob. 9BSCCh. 4.5 - Prob. 10BSCCh. 4.5 - Prob. 11BSCCh. 4.5 - Prob. 12BSCCh. 4.5 - Prob. 13BBCh. 4.5 - Prob. 14BBCh. 4.5 - Prob. 15BBCh. 4 - Prob. 1CQQCh. 4 - Prob. 2CQQCh. 4 - Prob. 3CQQCh. 4 - Prob. 4CQQCh. 4 - Prob. 5CQQCh. 4 - Prob. 6CQQCh. 4 - Prob. 7CQQCh. 4 - Prob. 8CQQCh. 4 - Prob. 9CQQCh. 4 - Prob. 10CQQCh. 4 - Prob. 1RECh. 4 - Prob. 2RECh. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 1CRECh. 4 - Prob. 2CRECh. 4 - Prob. 3CRECh. 4 - Prob. 4CRECh. 4 - Prob. 5CRECh. 4 - Prob. 1FDDCh. 4 - Prob. 2FDDCh. 4 - Prob. 3FDDCh. 4 - Prob. 4FDDCh. 4 - Prob. 5FDDCh. 4 - Prob. 6FDDCh. 4 - Prob. 7FDDCh. 4 - Prob. 8FDDCh. 4 - Prob. 9FDD
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