Introductory Statistics (2nd Edition)
2nd Edition
ISBN: 9780321978271
Author: Robert Gould, Colleen N. Ryan
Publisher: PEARSON
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Chapter 7, Problem 10SE
Simple Random Sampling Is simple random sampling usually done with or without replacement?
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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 7 Solutions
Introductory Statistics (2nd Edition)
Ch. 7 - Parameter vs. Statistic (Example 1) Explain the...Ch. 7 - Sample vs. Census Explain the difference between a...Ch. 7 - x vs. Two symbols are used for the mean: and x....Ch. 7 - xvs. The mean GPA of all 5000 students at Uneeda...Ch. 7 - Ages of Presidents Suppose you knew the age at...Ch. 7 - Heights of Basketball Team Suppose you find all...Ch. 7 - Sample vs. Census You are receiving a large...Ch. 7 - Sampling GPAs Suppose you want to estimate the...Ch. 7 - Sampling with and without Replacement Explain the...Ch. 7 - Simple Random Sampling Is simple random sampling...
Ch. 7 - Finding a Random Sample (Example 5) You need to...Ch. 7 - Finding a Random Sample You need to select a...Ch. 7 - Random Sampling Assume your class has 30 students...Ch. 7 - Random Sampling with Coins Assume your class has...Ch. 7 - Questionnaire Response (Example 3) A teacher at a...Ch. 7 - Survey on Social Security A phone survey asked...Ch. 7 - Views on Capital Punishment In carrying out a...Ch. 7 - Views on Capital Punishment Use the data given in...Ch. 7 - Targets: Bias or Lack of Precision? a. If a...Ch. 7 - Targets: Bias or Lack of Precision, Again a. If a...Ch. 7 - Bias? Suppose that, when taking a random sample of...Ch. 7 - Unbiased Sample? Suppose you attend a school that...Ch. 7 - Proportion of Odd Digits A large collection of...Ch. 7 - Proportion of Odd Digits...Ch. 7 - Prob. 25SECh. 7 - Prob. 26SECh. 7 - ESP A Zener deck of cards has cards that show one...Ch. 7 - ESP Again In the graphs for Exercise 7.33, explain...Ch. 7 - Standard Error Which of the dotplots given in...Ch. 7 - Bias? Assuming that the true proportion of success...Ch. 7 - Fair Coin? One of the graphs shows the proportion...Ch. 7 - Far from Fair Which of the graphs in Exercise 7.37...Ch. 7 - What Is the Proportion of Seniors? (Example 5) A...Ch. 7 - Simulation From a very large (essentially...Ch. 7 - MMs (Example 5) Return to Exercise 7.25 and find...Ch. 7 - Random Letters Return to Exercise 7.26 and find...Ch. 7 - Jury Selection (Example 6) Juries should have the...Ch. 7 - Mercury in Freshwater Fish According to an article...Ch. 7 - The Oregon Bar Exam (Example 7) According to the...Ch. 7 - Feeding Vegans A survey of eating habits showed...Ch. 7 - Overweight Children The Ventura County Star (June...Ch. 7 - Living in Poverty The Ventura County Star article...Ch. 7 - Passing a Test by Guessing A true/false test has...Ch. 7 - Gender: Randomly Chosen? A large community college...Ch. 7 - Prob. 45SECh. 7 - Is Marriage Becoming Obsolete? When asked whether...Ch. 7 - East Germany According to a Gallup Poll taken in...Ch. 7 - View of Immigration In June 2012, a Gallup Poll...Ch. 7 - Voting A random sample of likely voters showed...Ch. 7 - Voting A random sample of likely voters showed...Ch. 7 - High School Diplomas (Example 8) In a simple...Ch. 7 - Diabetes In a simple random sample of 1200...Ch. 7 - Confidence in Public Schools A 2012 Gallup Poll...Ch. 7 - Confidence in the Military In June 2012, a Gallup...Ch. 7 - Thriving In June 2012, a Gallup Poll showed that...Ch. 7 - Benefits of Rich Class In May 2012, a Gallup Poll...Ch. 7 - Understanding the Meaning of Confidence Levels: 90...Ch. 7 - Understanding the Meaning of Confidence Levels: 80...Ch. 7 - Past Presidential Vote In the 1960 presidential...Ch. 7 - Human Cloning In a Gallup Poll, 441 of 507 adults...Ch. 7 - Do People Think Astrology Is Scientific? (Example...Ch. 7 - Do People Think the Sun Goes around the Earth? In...Ch. 7 - Good News on Jobs The Pew Research Center reports...Ch. 7 - Obesity In a 2013 Pew Poll, 36#37; of Republicans...Ch. 7 - Stressed Moms (Example 11, 12, 13, and 14) An...Ch. 7 - Gay Marriage According to the Pew Research Center,...Ch. 7 - Perry Preschool and Graduation from High School...Ch. 7 - Preschool: Just the Boys Refer to Exercise 7.77...Ch. 7 - Antibiotics for Malnutrition (Example 15) A study...Ch. 7 - Transfusions for Bleeding in the Stomach Should...Ch. 7 - Gender and Use of Turn Signals Statistics student...Ch. 7 - Diet Drug (Meridia) A randomized,...Ch. 7 - Drug for Nausea Ondansetron (Zofran) is a drug...Ch. 7 - Preschool: Just the Girls The Perry Preschool...Ch. 7 - Banning Super-Size Sugary Drinks A June 2012...Ch. 7 - Banning Smoking A July 2011 Roper Poll showed that...Ch. 7 - Sample Proportion A poll on a proposition showed...Ch. 7 - Sample Proportion A poll on a proposition showed...Ch. 7 - Margin of Error A poll on a proposition showed...Ch. 7 - Margin of Error A poll on a proposition showed...Ch. 7 - Prob. 81CRECh. 7 - Prob. 82CRECh. 7 - Dreaming in Color According to studies done in the...Ch. 7 - Hand Washing Ignaz Semmelweiss (1818-1865) was the...Ch. 7 - Romney vs. Santorum During the Republican primary...Ch. 7 - Sampling Error In March 2012, President Obama's...Ch. 7 - Young Women's Career Goals Are the career goals of...Ch. 7 - Young Men's Career Goals Are the career goals of...Ch. 7 - Voters Poll: Sample Size A polling agency wants to...Ch. 7 - Ratio of Sample Sizes Find the sample size...Ch. 7 - Criticize the Sampling Marco is interested in...Ch. 7 - Criticize the Sampling Maria opposes capital...Ch. 7 - Random Sampling? If you walked around your school...Ch. 7 - Biased Sample? You want to find the mean weight of...Ch. 7 - Bias? Suppose that, when taking a random sample of...Ch. 7 - Bias? Four women selected from a photo of 123 were...
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