Essential Statistics
2nd Edition
ISBN: 9781259570643
Author: Navidi
Publisher: MCG
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Chapter 6, Problem 11RE
It’s all politics: A politician in a close election race claims that 52% of the voters support him. A poll is taken in which 200 voters are sampled, and 44% of them support the politician.
a. If the claim is true, what is the
b. If the claim is true, would it be unusual to obtain a sample proportion less than or equal to 0.44?
c. If the claim is true, would it be unusual for less than half of the voters in the sample to support the politician?
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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
Essential Statistics
Ch. 6.1 - Prob. 1CYUCh. 6.1 - Prob. 2CYUCh. 6.1 - Prob. 3CYUCh. 6.1 - Prob. 4CYUCh. 6.1 - Prob. 5CYUCh. 6.1 - Prob. 6CYUCh. 6.1 - Prob. 7CYUCh. 6.1 - Prob. 8CYUCh. 6.1 - Prob. 9CYUCh. 6.1 - Prob. 10CYU
Ch. 6.1 - Prob. 11ECh. 6.1 - In Exercises 11–16, fill in each blank with the...Ch. 6.1 - In Exercises 11–16, fill in each blank with the...Ch. 6.1 - In Exercises 11–16, fill in each blank with the...Ch. 6.1 - In Exercises 11–16, fill in each blank with the...Ch. 6.1 - In Exercises 11–16, fill in each blank with the...Ch. 6.1 - In Exercises 17–26, determine whether the...Ch. 6.1 - In Exercises 17–26, determine whether the...Ch. 6.1 - If a normal population has a mean of and a...Ch. 6.1 - In Exercises 17–26, determine whether the...Ch. 6.1 - Determine Exercises 1726, whether the statement is...Ch. 6.1 - Determine Exercises 1726, whether the statement is...Ch. 6.1 - Prob. 23ECh. 6.1 - In Exercises 17–26, determine whether the...Ch. 6.1 - Prob. 25ECh. 6.1 - Prob. 26ECh. 6.1 - 27. The following figure is a probability density...Ch. 6.1 - 28. The following figure is a probability density...Ch. 6.1 - Prob. 29ECh. 6.1 - Prob. 30ECh. 6.1 - Prob. 31ECh. 6.1 - 32. Find the area under the standard normal curve...Ch. 6.1 - Prob. 33ECh. 6.1 - Prob. 34ECh. 6.1 - Prob. 35ECh. 6.1 - 36. Find the area under the standard normal curve...Ch. 6.1 - Find the area under the standard normal curve that...Ch. 6.1 - Find the area under the standard normal curve that...Ch. 6.1 - Prob. 39ECh. 6.1 - 40. Find the z-score for which the area to its...Ch. 6.1 - Prob. 41ECh. 6.1 - 42. Find the z-score for which the area to its...Ch. 6.1 - Prob. 43ECh. 6.1 - 44. Find the z-scores that bound the middle 70% of...Ch. 6.1 - Prob. 45ECh. 6.1 - Prob. 46ECh. 6.1 - Prob. 47ECh. 6.1 - Prob. 48ECh. 6.1 - Prob. 49ECh. 6.1 - Prob. 50ECh. 6.1 - Prob. 51ECh. 6.1 - Prob. 52ECh. 6.1 - Prob. 53ECh. 6.1 - Prob. 54ECh. 6.1 - Prob. 55ECh. 6.1 - Prob. 56ECh. 6.1 - Prob. 57ECh. 6.1 - Prob. 58ECh. 6.1 - 59. Check your blood pressure: The Centers for...Ch. 6.1 - Prob. 60ECh. 6.1 - Prob. 61ECh. 6.1 - Prob. 62ECh. 6.1 - Prob. 63ECh. 6.1 - 64. Big chickens: A report on thepoultrysite.com...Ch. 6.1 - Prob. 65ECh. 6.1 - 66. Electric bills: According to the U.S. Energy...Ch. 6.1 - Prob. 67ECh. 6.1 - Prob. 68ECh. 6.1 - 69. Tire lifetimes: The lifetime of a certain type...Ch. 6.1 - 70. Tree heights: Cherry trees in a certain...Ch. 6.1 - 71. Tire lifetimes: The lifetime of a certain type...Ch. 6.1 - Prob. 72ECh. 6.1 - Prob. 73ECh. 6.1 - Prob. 74ECh. 6.1 - Prob. 75ECh. 6.1 - 76. How much do you study? A survey among freshmen...Ch. 6.1 - Prob. 77ECh. 6.1 - Prob. 78ECh. 6.1 - Prob. 79ECh. 6.1 - Prob. 80ECh. 6.1 - Prob. 81ECh. 6.1 - Prob. 82ECh. 6.1 - Prob. 83ECh. 6.1 - Prob. 84ECh. 6.2 - A population has mean μ = 6.9 and standard...Ch. 6.2 - A population has mean μ = 17 and standard...Ch. 6.2 - A population has mean μ = 10 and standard...Ch. 6.2 - A population has mean μ = 47.5 and standard...Ch. 6.2 - Prob. 5ECh. 6.2 - In Exercises 5 and 6, fill in each blank with the...Ch. 6.2 - Prob. 7ECh. 6.2 - Prob. 8ECh. 6.2 - Prob. 9ECh. 6.2 - 10. A sample of size 126 will be drawn from a...Ch. 6.2 - Prob. 11ECh. 6.2 - 12. A sample of size 284 will be drawn from a...Ch. 6.2 - Prob. 13ECh. 6.2 - Prob. 14ECh. 6.2 - A sample of size 20 will be drawn from a...Ch. 6.2 - Prob. 16ECh. 6.2 - Prob. 17ECh. 6.2 - Prob. 18ECh. 6.2 - Prob. 19ECh. 6.2 - Prob. 20ECh. 6.2 - Prob. 21ECh. 6.2 - 22. Watch your cholesterol: The National Health...Ch. 6.2 - Prob. 23ECh. 6.2 - Prob. 24ECh. 6.2 - 25. Taxes: The Internal Revenue Service reports...Ch. 6.2 - Prob. 26ECh. 6.2 - Prob. 27ECh. 6.2 - 28. Elevator ride: Engineers are designing a large...Ch. 6.2 - Annual income: The mean annual income for people...Ch. 6.2 - Prob. 30ECh. 6.2 - Eat your cereal: A cereal manufacturer claims that...Ch. 6.2 - Battery life: A battery manufacturer claims that...Ch. 6.2 - Prob. 33ECh. 6.3 - Find μ p ^ and σ p ^ if n = 20 and p = 0.82.Ch. 6.3 - Prob. 2CYUCh. 6.3 - Prob. 3CYUCh. 6.3 - For a certain type of computer chip, the...Ch. 6.3 - Prob. 5ECh. 6.3 - In Exercises 5 and 6, fill in each blank with the...Ch. 6.3 - Prob. 7ECh. 6.3 - Prob. 8ECh. 6.3 - Prob. 9ECh. 6.3 - In Exercises 9–14, n is the sample size, p is the...Ch. 6.3 - Prob. 11ECh. 6.3 - In Exercises 9–14, n is the sample size, p is the...Ch. 6.3 - Prob. 13ECh. 6.3 - Prob. 14ECh. 6.3 - Coffee: The National Coffee Association reported...Ch. 6.3 - Smartphones: A Pew Research report indicated that...Ch. 6.3 - Student loans: The Institute for College Access...Ch. 6.3 - High school graduates: The National Center for...Ch. 6.3 - Prob. 19ECh. 6.3 - Working two jobs: The Bureau of Labor Statistics...Ch. 6.3 - Future scientists: Education professionals refer...Ch. 6.3 - Blood pressure: High blood pressure has been...Ch. 6.3 - Prob. 23ECh. 6.3 - Prob. 24ECh. 6.3 - Kidney transplants: The Health Resources and...Ch. 6.3 - How’s your new car? The General Social Survey...Ch. 6.3 - Flawless tiles: A new process has been designed to...Ch. 6.4 - Prob. 1CYUCh. 6.4 - Prob. 2CYUCh. 6.4 - Prob. 3CYUCh. 6.4 - Prob. 4CYUCh. 6.4 - Prob. 5ECh. 6.4 - Prob. 6ECh. 6.4 - Prob. 7ECh. 6.4 - Prob. 8ECh. 6.4 - In Exercises 9–14, n is the sample size, p is the...Ch. 6.4 - Prob. 10ECh. 6.4 - In Exercises 9–14, n is the sample size, p is the...Ch. 6.4 - Prob. 12ECh. 6.4 - Prob. 13ECh. 6.4 - Prob. 14ECh. 6.4 - Prob. 15ECh. 6.4 - Prob. 16ECh. 6.4 - Prob. 17ECh. 6.4 - Stress at work: In a poll conducted by the General...Ch. 6.4 - What’s your opinion? A pollster will interview a...Ch. 6.4 - Prob. 20ECh. 6.4 - The car is in the shop: Among automobiles of a...Ch. 6.4 - Prob. 22ECh. 6.4 - Getting bumped: Airlines often sell more tickets...Ch. 6.4 - Prob. 24ECh. 6.4 - Probability of a single number: A fair coin is...Ch. 6.5 - Prob. 1CYUCh. 6.5 - Prob. 2CYUCh. 6.5 - Prob. 3CYUCh. 6.5 - Prob. 4CYUCh. 6.5 - Prob. 5CYUCh. 6.5 - Prob. 6CYUCh. 6.5 - Prob. 7ECh. 6.5 - Prob. 8ECh. 6.5 - Prob. 9ECh. 6.5 - Prob. 10ECh. 6.5 - Prob. 11ECh. 6.5 - Prob. 12ECh. 6.5 - Prob. 13ECh. 6.5 - Prob. 14ECh. 6.5 - Prob. 15ECh. 6.5 - Prob. 16ECh. 6.5 - Prob. 17ECh. 6.5 - Prob. 18ECh. 6.5 - Prob. 19ECh. 6.5 - Prob. 20ECh. 6.5 - Prob. 21ECh. 6.5 - Prob. 22ECh. 6.5 - Defective items: The number of defective items...Ch. 6.5 - Prob. 24ECh. 6.5 - Prob. 25ECh. 6.5 - Prob. 26ECh. 6.5 - Prob. 27ECh. 6.5 - Prob. 28ECh. 6.5 - Prob. 29ECh. 6.5 - Prob. 30ECh. 6.5 - Prob. 31ECh. 6.5 - Prob. 32ECh. 6 - Following is a probability density curse for a...Ch. 6 - Prob. 2CQCh. 6 - Prob. 3CQCh. 6 - Find the z-scores that bound the middle 80% of the...Ch. 6 - Find z0.15.Ch. 6 - Prob. 6CQCh. 6 - Prob. 7CQCh. 6 - Prob. 8CQCh. 6 - Prob. 9CQCh. 6 - Prob. 10CQCh. 6 - Prob. 11CQCh. 6 - Prob. 12CQCh. 6 - Prob. 13CQCh. 6 - Prob. 14CQCh. 6 - Prob. 15CQCh. 6 - Prob. 1RECh. 6 - Prob. 2RECh. 6 - Your battery is dead: The lifetimes of a certain...Ch. 6 - Take your medicine: Medication used to treat a...Ch. 6 - Lightbulbs: The lifetime of lightbulbs has a mean...Ch. 6 - More lightbulbs: Someone claims to have developed...Ch. 6 - Prob. 7RECh. 6 - Safe delivery: A certain delivery truck can safely...Ch. 6 - Elementary school: In a certain elementary school,...Ch. 6 - Face book: Eighty percent of the students at a...Ch. 6 - It’s all politics: A politician in a close...Ch. 6 - Side effects: A new medical procedure produces...Ch. 6 - Prob. 13RECh. 6 - Prob. 14RECh. 6 - Prob. 15RECh. 6 - Prob. 1WAICh. 6 - Prob. 2WAICh. 6 - Prob. 3WAICh. 6 - Prob. 4WAICh. 6 - Prob. 5WAICh. 6 - Prob. 6WAICh. 6 - Prob. 7WAICh. 6 - Prob. 1CSCh. 6 - Prob. 2CSCh. 6 - Prob. 3CSCh. 6 - Prob. 4CSCh. 6 - Prob. 5CSCh. 6 - Prob. 6CSCh. 6 - Prob. 7CSCh. 6 - Prob. 8CS
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