Fundamentals of Biostatistics
8th Edition
ISBN: 9781305268920
Author: Bernard Rosner
Publisher: Cengage Learning
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Chapter 2, Problem 8P
A man runs 1 mile approximately once per weekend. He records his time over an 18-week period. The individual times and summary statistics are given in Table 2.14.
What is the
Table 2.14 One mile running time for an individual, over 18 weeks
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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
Fundamentals of Biostatistics
Ch. 2.6 - When is it appropriate to use the arithmetic mean...Ch. 2.6 - How does the geometric mean differ from the...Ch. 2.6 - What is the difference between the standard...Ch. 2.8 - What is a stem-and-leaf plot? How does it differ...Ch. 2.8 - Prob. B.2RECh. 2.8 - Consider the stem-and-leaf plot in Figure 2.6. Is...Ch. 2.8 - What is a box plot? What additional information...Ch. 2 - The data in Table 2.13 are a sample from a larger...Ch. 2 - The data in Table 2.13 are a sample from a larger...Ch. 2 - It is of clinical interest to know if the duration...
Ch. 2 - Suppose the scale for a data set is changed by...Ch. 2 - Suppose the scale for a data set is changed by...Ch. 2 - Suppose the scale for a data set is changed by...Ch. 2 - Suppose the scale for a data set is changed by...Ch. 2 - A man runs 1 mile approximately once per weekend....Ch. 2 - A man runs 1 mile approximately once per weekend....Ch. 2 - A man runs 1 mile approximately once per weekend....Ch. 2 - A man runs 1 mile approximately once per weekend....Ch. 2 - A man runs 1 mile approximately once per weekend....Ch. 2 - The data in Table 2.15 are a sample of cholesterol...Ch. 2 - The data in Table 2.15 are a sample of cholesterol...Ch. 2 - The data in Table 2.15 are a sample of cholesterol...Ch. 2 - The data in Table 2.15 are a sample of cholesterol...Ch. 2 - The data in Table 2.15 are a sample of cholesterol...Ch. 2 - In an experiment that examined the effect of body...Ch. 2 - In an experiment that examined the effect of body...Ch. 2 - Table 2.17 Format for FEV.DAT The data in Table...Ch. 2 - Forced expiratory volume (FEV) is an index of...Ch. 2 - Forced expiratory volume (FEV) is an index of...Ch. 2 - Prob. 26PCh. 2 - The food-frequency questionnaire (FFQ) is an...Ch. 2 - In Section 2.9, we described Data Set LEAD.DAT (at...Ch. 2 - In Section 2.9, we described Data Set LEAD.DAT (at...Ch. 2 - Activated-protein-C (APC) resistance is a serum...Ch. 2 - Activated-protein-C (APC) resistance is a serum...Ch. 2 - A study was conducted to demonstrate that soy...Ch. 2 - A study was conducted to demonstrate that soy...Ch. 2 - A study was conducted to demonstrate that soy...Ch. 2 - Prob. 38PCh. 2 - In Section 2.10, we described Data Set BONEDEN.DAT...Ch. 2 - What impression do you have of the relationship...Ch. 2 - In Section 2.10, we described Data Set BONEDEN.DAT...Ch. 2 - In Section 2.10, we described Data Set BONEDEN.DAT...Ch. 2 - Prob. 43PCh. 2 - Prob. 44PCh. 2 - Prob. 45PCh. 2 - Answer Problems 2.382.40 for BMD for the femoral...Ch. 2 - The Left Ventricular Mass lndex (LVMI) is a...Ch. 2 - Prob. 48PCh. 2 - Prob. 49PCh. 2 - The Left Ventricular Mass lndex (LVMI) is a...
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