INTRODUCTION TO STATISTICS & DATA ANALYS
6th Edition
ISBN: 9780357420447
Author: PECK
Publisher: CENGAGE L
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Question
Chapter 6, Problem 110CR
a.
To determine
Compute the
b.
To determine
Find the probability that just five games needed to obtain a champion.
c.
To determine
Explain the way of performing simulation to estimate the probability that A wins the championship.
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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 6 Solutions
INTRODUCTION TO STATISTICS & DATA ANALYS
Ch. 6.1 - Define the term chance experiment, and give an...Ch. 6.1 - Define the term sample space, and then give the...Ch. 6.1 - Consider the chance experiment in which the type...Ch. 6.1 - Refer to the chance experiment described in the...Ch. 6.1 - A tennis shop sells five different brands of...Ch. 6.1 - Refer to the chance experiment described in the...Ch. 6.1 - A new model of laptop computer can be ordered with...Ch. 6.1 - A college library has four copies of a certain...Ch. 6.1 - A library has five copies of a certain textbook on...Ch. 6.1 - Suppose that, starting at a certain time,...
Ch. 6.1 - Refer to the previous exercise and now suppose...Ch. 6.1 - A family consisting of three peopleP1, P2, and...Ch. 6.1 - Prob. 13ECh. 6.1 - An engineering construction firm is currently...Ch. 6.1 - For the events described in the previous exercise,...Ch. 6.1 - Consider a Venn diagram picturing two events A and...Ch. 6.3 - A large department store offers online ordering....Ch. 6.3 - Consider the chance experiment described in the...Ch. 6.3 - The manager of an online music store has kept...Ch. 6.3 - Consider the chance experiment described in the...Ch. 6.3 - A bookstore sells two types of books (fiction and...Ch. 6.3 - Consider the chance experiment described in the...Ch. 6.3 - Medical insurance statuscovered (C) or not covered...Ch. 6.3 - Roulette is a game of chance that involves...Ch. 6.3 - Phoenix is a hub for a large airline. Suppose that...Ch. 6.3 - A customer satisfaction survey is planned. The...Ch. 6.3 - A professor assigns five problems to be completed...Ch. 6.3 - Refer to the following information on full-term...Ch. 6.3 - The report Teens, Social Media Technology...Ch. 6.3 - According to The Chronicle for Higher Education...Ch. 6.3 - The same issue of The Chronicle for Higher...Ch. 6.3 - A deck of 52 playing cards is mixed well, and 5...Ch. 6.3 - After all students have left the classroom, a...Ch. 6.3 - Use the information given in the previous exercise...Ch. 6.3 - The student council for a school of science and...Ch. 6.3 - A student placement center has requests from five...Ch. 6.3 - Suppose that a six-sided die is weighted so that...Ch. 6.4 - Two different airlines have a flight from Los...Ch. 6.4 - The article Chances Are You Know Someone with a...Ch. 6.4 - The accompanying data are from the article...Ch. 6.4 - Using the probabilities calculated in the previous...Ch. 6.4 - The following graphical display is similar to one...Ch. 6.4 - The article Americans Growing More Concerned About...Ch. 6.4 - The events E and T are defined as E = the event...Ch. 6.4 - The newspaper article Folic Acid Might Reduce Risk...Ch. 6.4 - Suppose that an individual is randomly selected...Ch. 6.4 - Is ultrasound a reliable method for determining...Ch. 6.4 - The paper Accuracy and Reliability of...Ch. 6.4 - The report 2015 Utah Seat Belt Use Survey (Utah...Ch. 6.4 - The National Highway Traffic Safety Administration...Ch. 6.4 - Use the information given in the previous exercise...Ch. 6.4 - The paper Good for Women, Good for Men, Bad for...Ch. 6.5 - Many fire stations handle emergency calls for...Ch. 6.5 - Refer to the information given in the previous...Ch. 6.5 - The paper Predictors of Complementary Therapy Use...Ch. 6.5 - The report TV Drama/Comedy Viewers and Health...Ch. 6.5 - The report Great Jobs, Great Lives. The...Ch. 6.5 - In a small city, approximately 15% of those...Ch. 6.5 - Jeanie is a bit forgetful, and if she doesnt make...Ch. 6.5 - Consider a system consisting of four components,...Ch. 6.5 - Consider the system described in the previous...Ch. 6.5 - In a January 2016 Harris Poll, each of 2252...Ch. 6.5 - Consider the following events: T = event that a...Ch. 6.5 - The following case study was reported in the...Ch. 6.5 - Three friends (A, B, and C) will participate in a...Ch. 6.5 - A store sells two different brands of dishwasher...Ch. 6.5 - The National Public Radio show Car Talk used to...Ch. 6.5 - Refer to the previous exercise. Suppose now that...Ch. 6.6 - A university has 10 vehicles available for use by...Ch. 6.6 - Prob. 70ECh. 6.6 - There are two traffic lights on Darlenes route...Ch. 6.6 - Let F denote the event that a randomly selected...Ch. 6.6 - According to a July 31, 2013 posting on cnn.com, a...Ch. 6.6 - Suppose that Blue Cab operates 15% of the taxis in...Ch. 6.6 - A large cable company reports the following: 80%...Ch. 6.6 - Refer to the information given in the previous...Ch. 6.6 - The authors of the paper Do Physicians Know When...Ch. 6.6 - A study of how people are using online services...Ch. 6.6 - The report Twitter in Higher Education: Usage...Ch. 6.6 - Use the information given in the previous exercise...Ch. 6.6 - Prob. 81ECh. 6.6 - Use the table of estimated probabilities from the...Ch. 6.6 - Suppose that we define the following events: C =...Ch. 6.6 - The article U.S. Investors Split Between Digital...Ch. 6.6 - Prob. 85ECh. 6.6 - The paper referenced in the previous exercise also...Ch. 6.6 - In an article that appears on the web site of the...Ch. 6.7 - The report Airline Quality Rating 2016...Ch. 6.7 - Five hundred first-year students at a state...Ch. 6.7 - Use the information given in the previous exercise...Ch. 6.7 - The table given below describes (approximately)...Ch. 6.7 - On April 1, 2010, the Bureau of the Census in the...Ch. 6.7 - Refer to the information given in the previous...Ch. 6.7 - Refer to the information given in Exercises 6.92...Ch. 6 - False positive results are not uncommon with...Ch. 6 - A company uses three different assembly linesA1,...Ch. 6 - Consider the following information about...Ch. 6 - Use the information given in the previous exercise...Ch. 6 - Use the information given in exercise 6.102 to...Ch. 6 - Prob. 105CRCh. 6 - The following table summarizing data on smoking...Ch. 6 - A study of the impact of seeking a second opinion...Ch. 6 - A company sends 40% of its overnight mail parcels...Ch. 6 - Prob. 109CRCh. 6 - Prob. 110CRCh. 6 - In a school machine shop, 60% of all machine...Ch. 6 - There are five faculty members in a certain...Ch. 6 - The general addition rule for three events states...Ch. 6 - A theater complex is currently showing four...Ch. 6 - Prob. 117CRCh. 6 - Suppose that a box contains 25 light bulbs, of...Ch. 6 - Return to Exercise 6.118, and suppose that 4 bulbs...Ch. 6 - A transmitter is sending a message using a binary...
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