Pearson eText Introductory Statistics: Exploring the World Through Data -- Instant Access (Pearson+)
3rd Edition
ISBN: 9780136880882
Author: Robert Gould, Rebecca Wong
Publisher: PEARSON+
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Textbook Question
Chapter 1, Problem 4SE
The data in Table 1A were collected from one of the authors’ statistics classes. The first row gives the variable, and each of the other rows represents a student in the class.
TABLE 1A
Are the following variables, from Table 1A, numerical or categorical? Explain.
a. Ring size
b. Hair color
c. Height
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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 1 Solutions
Pearson eText Introductory Statistics: Exploring the World Through Data -- Instant Access (Pearson+)
Ch. 1 - The data in Table 1A were collected from one of...Ch. 1 - The data in Table 1A were collected from one of...Ch. 1 - The data in Table 1A were collected from one of...Ch. 1 - The data in Table 1A were collected from one of...Ch. 1 - The data in Table 1A were collected from one of...Ch. 1 - The data in Table 1A were collected from one of...Ch. 1 - The data in Table 1A were collected from one of...Ch. 1 - Coding Suppose you decided to code living...Ch. 1 - The data in Table 1A were collected from one of...Ch. 1 - Coding Students who have accumulated fewer than 30...
Ch. 1 - Facebook Wall Posts (Example 2) A student shared...Ch. 1 - Age of Marriage A student did a survey on the age...Ch. 1 - Snacks Emmanuel, a student at a Los Angeles high...Ch. 1 - Movies A sample of students were questioned to...Ch. 1 - Use the data in Table 1A to answer questions 1.15...Ch. 1 - Use the data in Table 1A to answer questions 1.15...Ch. 1 - Use the data in Table 1A to answer questions 1.15...Ch. 1 - Use the data in Table 1A to answer questions 1.15...Ch. 1 - Investigating Data (Example 4) A data set on Shark...Ch. 1 - Investigating Data Suppose a surfer wanted to...Ch. 1 - Hands (Example 5) A survey was done of men’s and...Ch. 1 - Hands-Biased A survey was done of men’s and...Ch. 1 - Finding and Using Percentages a. A statistics...Ch. 1 - Finding and Using Percentages a. A hospital...Ch. 1 - Women Find the frequency, proportion, and...Ch. 1 - Brown-Haired People Find the frequency,...Ch. 1 - Two-Way Table from Data Make a two-way table from...Ch. 1 - Two-Way Table from Data Make a two-way table from...Ch. 1 - Occupation Growth (Example 6) The 2017 World...Ch. 1 - Chocolate Sales The 2017 World Almanac and Book of...Ch. 1 - Incarceration Rates (Example 7) The table gives...Ch. 1 - Population Density The accompanying table gives...Ch. 1 - Health Insurance The accompanying table gives the...Ch. 1 - Cable TV Subscriptions The accompanying table...Ch. 1 - Percentage of Elderly The projected U.S....Ch. 1 - Marriage and Divorce The marriage and divorce...Ch. 1 - Course Enrollment Rates Two sections of statistics...Ch. 1 - Prob. 38SECh. 1 - For Exercises 1.39 through 1.44, indicate whether...Ch. 1 - For Exercises 1.39 through 1.44, indicate whether...Ch. 1 - For Exercises 1.39 through 1.44, indicate whether...Ch. 1 - For Exercises 1.39 through 1.44, indicate whether...Ch. 1 - For Exercises 1.39 through 1.44, indicate whether...Ch. 1 - For Exercises 1.39 through 1.44, indicate whether...Ch. 1 - Vitamin C and Cancer The blog NHS Choices...Ch. 1 - Aloe Vera You can find many testimonials on the...Ch. 1 - Effects of Tutoring on Math Grades (Example 8) A...Ch. 1 - Treating Depression A doctor who believes strongly...Ch. 1 - Try Exercise and Language Learning (Example 9) In...Ch. 1 - Pneumonia Vaccine for Young Children A study...Ch. 1 - Does Fish Oil Lower Asthma Risk? The New England...Ch. 1 - Association between Glycemic Load and Acne? An...Ch. 1 - Milk and Cartilage (Example 10) Cartilage is a...Ch. 1 - Autism and MMR Vaccine An article by Wakefield et...Ch. 1 - Prob. 55SECh. 1 - Effect of Confederates on Compliance A study was...Ch. 1 - A Salad a Day Keeps Stroke Away? The Harvard Heart...Ch. 1 - Does Drinking Sugary Beverages Lead to Dementia?...Ch. 1 - Secondhand Smoke Exposure and Young Children...Ch. 1 - Prob. 60CRECh. 1 - Speeding Tickets College students who were drivers...Ch. 1 - Prob. 62CRECh. 1 - Writing: Vitamin D Describe the design of a...Ch. 1 - Writing: Strokes People who have had strokes are...Ch. 1 - Yoga and High-Risk Adolescents Can mindful yoga...Ch. 1 - Neurofeedback and ADHD Some studies have indicated...Ch. 1 - Virtual Reality and Fall Risk A study was...Ch. 1 - Ear Infections Babies 6 to 23 months of age with...Ch. 1 - Effects of Light Exposure A study carried out by...Ch. 1 - Scared Straight The idea of sending delinquents to...
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