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 18, Problem 5E
t-models, part III Describe how the shape, center, and spread of t-models change as the number of degrees of freedom increases.
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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 18 Solutions
Intro STATS, Books a la Carte Plus New Mystatlab with Pearson Etext -- Access Card Package
Ch. 18.2 - Every 10 years, the United States takes a census....Ch. 18.2 - Prob. 2JCCh. 18.2 - Prob. 3JCCh. 18.2 - Every 10 years, the United States takes a census....Ch. 18.2 - Prob. 5JCCh. 18.2 - Prob. 6JCCh. 18 - Salmon A specialty food company sells whole King...Ch. 18 - LSAT The LSAT (a test taken for law school...Ch. 18 - Prob. 3ECh. 18 - t-models, part II Using the t tables, software, or...
Ch. 18 - t-models, part III Describe how the shape, center,...Ch. 18 - Prob. 6ECh. 18 - Prob. 7ECh. 18 - Home sales again In the previous exercise, you...Ch. 18 - Prob. 9ECh. 18 - Prob. 10ECh. 18 - Prob. 11ECh. 18 - Prob. 12ECh. 18 - Prob. 13ECh. 18 - Prob. 14ECh. 18 - Cattle Livestock are given a special feed...Ch. 18 - Prob. 16ECh. 18 - Meal plan After surveying students at Dartmouth...Ch. 18 - Prob. 18ECh. 18 - Prob. 19ECh. 18 - Prob. 20ECh. 18 - Prob. 21ECh. 18 - Credit card charges A credit card company takes a...Ch. 18 - 23. Normal temperature The researcher described in...Ch. 18 - Parking Hoping to lure more shoppers downtown, a...Ch. 18 - 25. Normal temperatures, part II Consider again...Ch. 18 - 26. Parking II Suppose that, for budget planning...Ch. 18 - Speed of light In 1882, Michelson measured the...Ch. 18 - Prob. 28ECh. 18 - Prob. 29ECh. 18 - Prob. 30ECh. 18 - Prob. 31ECh. 18 - Prob. 32ECh. 18 - Prob. 33ECh. 18 - Golf balls The United States Golf Association...Ch. 18 - Prob. 35ECh. 18 - Computer lab fees The technology committee has...Ch. 18 - Marriage In 1960, census results indicated that...Ch. 18 - Prob. 38ECh. 18 - Prob. 39ECh. 18 - Prob. 40ECh. 18 - Prob. 41ECh. 18 - Prob. 42ECh. 18 - Prob. 43ECh. 18 - 44. Yogurt Consumer Reports tested 11 brands of...Ch. 18 - 45. Maze Psychology experiments sometimes involve...Ch. 18 - Prob. 46ECh. 18 - 47. Driving distance 2011 How far do professional...Ch. 18 - Prob. 48E
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