Statistics (13th Edition)
13th Edition
ISBN: 9780134080215
Author: James T. McClave, Terry T Sincich
Publisher: PEARSON
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Chapter 13.3, Problem 28LM
a.
To determine
To convert: The frequency responses to percentages by calculating the percentage of each column total falling in each row and also covert the row totals to percentages of the total number of responses.
To display: The percentages in a table.
b.
To determine
To create: A bar graph with row 1 percentage on the vertical axis and column number on the horizontal axis and to show the row 1 total percentage as a horizontal line on the graph.
c.
To determine
To find: What pattern do you expect to see if the rows and columns are independent.
To check: Does the plot support the result of the test of independence in Exercise 10.20.
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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
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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?…
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C.16/18
D.16/3
John and Mike were offered mints. What is the probability that at least John or Mike would respond favorably? (Hint: Use the classical definition.)
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Chapter 13 Solutions
Statistics (13th Edition)
Ch. 13.2 - 10.2 What are the characteristics of a multinomial...Ch. 13.2 - Prob. 2UPCh. 13.2 - Prob. 3LMCh. 13.2 - Use Table IV of Appendix B to find the following...Ch. 13.2 - Prob. 5LMCh. 13.2 - 10.4 A multinomial experiment with k = 3 cells and...Ch. 13.2 - 10.5 A multinomial experiment with k = 4 cells and...Ch. 13.2 - Prob. 8LMCh. 13.2 - Prob. 9ACBCh. 13.2 - Beetles and slime molds. Myxomycetes are...
Ch. 13.2 - 10.7 Do social robots walk or roll? Refer to the...Ch. 13.2 - 10.9 Museum management. Refer to the Museum...Ch. 13.2 - Prob. 13ACBCh. 13.2 - Prob. 14ACICh. 13.2 - Prob. 15ACICh. 13.2 - Characteristics of ice-melt ponds. Refer to the...Ch. 13.2 - Prob. 17ACICh. 13.2 - 10.12 Traffic sign maintenance. Refer to the...Ch. 13.2 - Interactions in a children’s museum. Refer to the...Ch. 13.2 - 10.18 Political representation of religious...Ch. 13.2 - Analysis of a Scrabble game. In the board game...Ch. 13.3 - What is a two-way (contingency) table?
Ch. 13.3 - Prob. 23UPCh. 13.3 - Prob. 24UPCh. 13.3 - Prob. 25UPCh. 13.3 - 10.19 Find the rejection region for a test of...Ch. 13.3 - Prob. 27LMCh. 13.3 - Prob. 28LMCh. 13.3 - Prob. 29LMCh. 13.3 - Prob. 30LMCh. 13.3 - Prob. 31ACBCh. 13.3 - Prob. 32ACBCh. 13.3 - Prob. 33ACBCh. 13.3 - Healing heart patients with music, imagery, touch,...Ch. 13.3 - Prob. 35ACBCh. 13.3 - Prob. 36ACICh. 13.3 - Prob. 37ACICh. 13.3 - Prob. 38ACICh. 13.3 - Detecting Alzheimer’s disease at an early age....Ch. 13.3 - Prob. 40ACICh. 13.3 - Prob. 41ACICh. 13.3 - Prob. 42ACICh. 13.3 - Prob. 43ACICh. 13.3 - Prob. 44ACICh. 13.3 - Prob. 45ACACh. 13.3 - Prob. 46ACACh. 13 - Prob. 47UPCh. 13 - What is the difference between a one-way...Ch. 13 - Prob. 49LMCh. 13 - Prob. 50LMCh. 13 - Prob. 51ACBCh. 13 - Prob. 52ACBCh. 13 - Prob. 53ACBCh. 13 - Prob. 54ACBCh. 13 - Prob. 55ACBCh. 13 - Prob. 56ACBCh. 13 - Prob. 57ACBCh. 13 - Prob. 58ACBCh. 13 - Prob. 59ACBCh. 13 - Masculinity and crime. Refer to the Journal of...Ch. 13 - Prob. 61ACICh. 13 - Prob. 62ACICh. 13 - Prob. 63ACICh. 13 - Prob. 64ACICh. 13 - Prob. 65ACICh. 13 - Prob. 66ACICh. 13 - Prob. 67ACICh. 13 - Prob. 68ACICh. 13 - Prob. 69ACICh. 13 - Prob. 70ACICh. 13 - Prob. 71ACACh. 13 - Prob. 72ACACh. 13 - Prob. 73CTC
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