Elementary Statistics 2nd Edition
2nd Edition
ISBN: 9781259724275
Author: William Navidi, Barry Monk
Publisher: McGraw-Hill Education
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Chapter 12, Problem 4RE
To determine
To find:Expected frequency for null hypothesis of independence.
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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 12 Solutions
Elementary Statistics 2nd Edition
Ch. 12.1 - In Exercises 9 and 10, fill in each blank with the...Ch. 12.1 - Prob. 10ECh. 12.1 - In Exercises 11 and 12, determine whether the...Ch. 12.1 - Prob. 12ECh. 12.1 - Find the =0.05 critical value for the chi-square...Ch. 12.1 - Find the =0.01 critical value for the chi-square...Ch. 12.1 - Find the area to the right of 24.725 under the...Ch. 12.1 - Find the area to the right of 40.256 under the...Ch. 12.1 - For the following observed and expected...Ch. 12.1 - For the following observed and expected...
Ch. 12.1 - Following are observed frequencies. The null...Ch. 12.1 - Following are observed frequencies. The null...Ch. 12.1 - Is the lottery fair? Mega Millions is a multistate...Ch. 12.1 - Grade distribution: A statistics teacher claims...Ch. 12.1 - False alarm: The numbers of false fire alarms were...Ch. 12.1 - Crime rates: The FBI computed the proportion of...Ch. 12.1 - Prob. 25ECh. 12.1 - Prob. 26ECh. 12.1 - Economic future: A Heartland Monitor poll taken in...Ch. 12.1 - Prob. 28ECh. 12.1 - Fair die? A gambler rolls a die 600 times to...Ch. 12.2 - In Exercises 3-5, fill in each blank with the...Ch. 12.2 - Prob. 4ECh. 12.2 - Prob. 5ECh. 12.2 - Prob. 6ECh. 12.2 - Prob. 7ECh. 12.2 - In Exercises 6-8, determine whether the statement...Ch. 12.2 - For the given table of observed frequencies:...Ch. 12.2 - For the given table of observed frequencies:...Ch. 12.2 - Carbon monoxide: A recent study examined the...Ch. 12.2 - Beryllium disease: Beryllium is an extremely...Ch. 12.2 - No smoking: The General Social Survey conducted a...Ch. 12.2 - How big is your family? The General Social Survey...Ch. 12.2 - Age discrimination: The following table presents...Ch. 12.2 - Schools and museums: Do people who are interested...Ch. 12.2 - Prob. 17ECh. 12.2 - Prob. 18ECh. 12.2 - Prob. 19ECh. 12.2 - Are you an optimist? The General Social Survey...Ch. 12 - A contingency table containing observed values has...Ch. 12 - Prob. 2CQCh. 12 - Prob. 3CQCh. 12 - Prob. 4CQCh. 12 - Prob. 5CQCh. 12 - Prob. 6CQCh. 12 - Exercises 4-9 refer to the following data:...Ch. 12 - Prob. 8CQCh. 12 - Exercises refer to the following data: Electric...Ch. 12 - Prob. 10CQCh. 12 - Exercises 10-15 refer to the following data:...Ch. 12 - Prob. 12CQCh. 12 - Prob. 13CQCh. 12 - Prob. 14CQCh. 12 - Prob. 15CQCh. 12 - Prob. 1RECh. 12 - Prob. 2RECh. 12 - Prob. 3RECh. 12 - Prob. 4RECh. 12 - Prob. 5RECh. 12 - Prob. 6RECh. 12 - Prob. 7RECh. 12 - Prob. 8RECh. 12 - Prob. 9RECh. 12 - Prob. 10RECh. 12 - Prob. 11RECh. 12 - Prob. 12RECh. 12 - Prob. 13RECh. 12 - Prob. 14RECh. 12 - Prob. 15RECh. 12 - Prob. 1WAICh. 12 - Prob. 2WAICh. 12 - Prob. 3WAICh. 12 - Prob. 4WAICh. 12 - Prob. 1CSCh. 12 - Prob. 2CSCh. 12 - Prob. 3CSCh. 12 - Prob. 4CSCh. 12 - Prob. 5CSCh. 12 - Prob. 6CSCh. 12 - Prob. 7CSCh. 12 - We conclude that department is associated with...
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