Introductory Statistics
3rd Edition
ISBN: 9780135188927
Author: Gould, Robert, Ryan, Colleen N. (colleen Nooter)
Publisher: Pearson,
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Textbook Question
Chapter 13, Problem 1SE
What is the fundamental condition required for inference from a sample to a population?
Expert Solution & Answer
To determine
Determine the fundamental condition for inference from a sample to a population.
Explanation of Solution
The sample is a set of observations collected from a large population. As it is difficult to collect the data from the whole population, the sample is used to make inference about the population.
In order to get the reliable results from the sample data, the sample obtained should be a random sample. The random sampling methods should be used to collect the sample observations from the population, so that the bias can be reduced.
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Students have asked these similar questions
(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 13 Solutions
Introductory Statistics
Ch. 13 - What is the fundamental condition required for...Ch. 13 - In what situations are nonparametric statistics...Ch. 13 - In addition to random samples, what other...Ch. 13 - What summary statistics are best used to report...Ch. 13 - Prob. 5SECh. 13 - Prob. 6SECh. 13 - Prob. 7SECh. 13 - Log Transforms a. Find the log (base 10) of each...Ch. 13 - Prob. 9SECh. 13 - Prob. 10SE
Ch. 13 - Prob. 11SECh. 13 - Morning Routine A statistics student conducted a...Ch. 13 - Exercise Hours A statistics student was interested...Ch. 13 - Television Viewing A Nielsen poll asked people the...Ch. 13 - Lead Exposure (Example 3) Excessive lead levels...Ch. 13 - Juvenile Delinquents Dr. Kirkland R. Gable (in...Ch. 13 - The Stroop Effect Suppose you had to identify the...Ch. 13 - Reading Material on Colored Paper In the past,...Ch. 13 - Males’ Pulse Rates Students in a statistics class...Ch. 13 - Females’ Pulse Rates Refer to exercise 13.19. This...Ch. 13 - Ages of Brides and Grooms A random sample of the...Ch. 13 - Textbook Prices A student was interested in...Ch. 13 - Meat-Eating Behavior (Example 4) A researcher was...Ch. 13 - Credit Card Debt A statistics student who was...Ch. 13 - Prob. 25SECh. 13 - Sleep Typically, do men and women sleep different...Ch. 13 - Cell Phone Bills Cell phone bills (rounded to the...Ch. 13 - Weights of Athletes Data were collected on the...Ch. 13 - Happiness A StatCrunch survey of happiness...Ch. 13 - Soda A StatCrunch survey was done asking what...Ch. 13 - Sports and Extraversion (Example 5) Are students...Ch. 13 - Happiness Are women happier than men? A StatCrunch...Ch. 13 - College Students and Credit Card Debt In exercise...Ch. 13 - Soda Does soda constitute a larger part of the...Ch. 13 - Rainfall In a well-known study on the effects of...Ch. 13 - Rainfall Refer to exercise 13.35, which discussed...Ch. 13 - Randomization Exercise 13.35 describes a...Ch. 13 - Randomization Exercise 13.35 describes a...Ch. 13 - Prob. 39CRECh. 13 - For exercises 13.39 through 13.46, choose from the...Ch. 13 - Prob. 41CRECh. 13 - For exercises 13.39 through 13.46, choose from the...Ch. 13 - Prob. 43CRECh. 13 - Prob. 44CRECh. 13 - For exercises 13.39 through 13.46, choose from the...Ch. 13 - For exercises 13.39 through 13.46, choose from the...Ch. 13 - Ice Cream Cones McDonald’s claims that its ice...Ch. 13 - Average Body Temperatures Many people believe that...Ch. 13 - Contacting Mom Random samples of 30 professors of...Ch. 13 - 13.50 through 13.54 Texts Sent and Received...Ch. 13 - 13.50 through 13.54 Texts Sent and Received...Ch. 13 - 13.50 through 13.54 Texts Sent and Received...Ch. 13 - 13.50 through 13.54 Texts Sent and Received...Ch. 13 - 13.50 through 13.54 Texts Sent and Received...Ch. 13 - Geometric Mean The dotplot shows the number of...Ch. 13 - Looking at the data about contacting mom (exercise...Ch. 13 - Resampling Moms We performed a randomization test...Ch. 13 - Prob. 58CRECh. 13 - Prob. 59CRECh. 13 - Prob. 60CRE
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