Elementary Statistics 2nd Edition
2nd Edition
ISBN: 9781259724275
Author: William Navidi, Barry Monk
Publisher: McGraw-Hill Education
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Chapter 3, Problem 4CQ
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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 3 Solutions
Elementary Statistics 2nd Edition
Ch. 3.1 - In Exercises 9—12, fill in each blank with the...Ch. 3.1 - In Exercises 9—12, fill in each blank with the...Ch. 3.1 - In Exercises 9—12, fill in each blank with the...Ch. 3.1 - In Exercises 9—12, fill in each blank with the...Ch. 3.1 - In Exercises 13—16, determine whether the...Ch. 3.1 - In Exercises 13—16, determine whether the...Ch. 3.1 - In Exercises 13—16, determine whether the...Ch. 3.1 - In Exercises 13—16, determine whether the...Ch. 3.1 - Find the mean, median, and mode for the following...Ch. 3.1 - Find the mean, median, and mode for the following...
Ch. 3.1 - Find the mean, median, and mode for the following...Ch. 3.1 - Find the mean, median, and mode for the following...Ch. 3.1 - Prob. 19ECh. 3.1 - In Exercises 21—24, use the given frequency...Ch. 3.1 - In Exercises 21—24, use the given frequency...Ch. 3.1 - In Exercises 21—24, use the given frequency...Ch. 3.1 - Use the properties of the mean and median to...Ch. 3.1 - Use the properties of the mean and median to...Ch. 3.1 - Use the properties of the mean and median to...Ch. 3.1 - Use the properties of the mean and median to...Ch. 3.1 - Find the mean, median, and mode of the data in the...Ch. 3.1 - Find the mean, median, and mode of the data in the...Ch. 3.1 - Facebook friends: In a study of Facebook users...Ch. 3.1 - Mean and median height: The National Center for...Ch. 3.1 - Prob. 31ECh. 3.1 - Greater swimmer: In the 2008 OIympic Games. Michel...Ch. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Heavy football players: Following are the weights,...Ch. 3.1 - Prob. 40ECh. 3.1 - Flu season: The following table presents the...Ch. 3.1 - News flash: The following table presents the...Ch. 3.1 - Commercial bank: Following arc amounts spend (in...Ch. 3.1 - Prob. 44ECh. 3.1 - Dont drink and drive: The Insurance Institute for...Ch. 3.1 - Prob. 46ECh. 3.1 - Be my Valentine: The following frequency...Ch. 3.1 - Get your degree: The following frequency...Ch. 3.1 - Prob. 49ECh. 3.1 - Take in a show: The following table presents the...Ch. 3.1 - Prob. 51ECh. 3.1 - Sources of news: A sample of 32 U.S. adults was...Ch. 3.1 - Find the mean: The National Center for Health...Ch. 3.1 - Find the median: According to a recent Current...Ch. 3.1 - Find the median: In a recent year, approximately...Ch. 3.1 - Find the median: The National Health and Nutrition...Ch. 3.1 - Prob. 57ECh. 3.1 - Prob. 58ECh. 3.1 - How many numbers? A data set has a median of 17,...Ch. 3.1 - Prob. 60ECh. 3.1 - Prob. 61ECh. 3.1 - Prob. 62ECh. 3.1 - Prob. 63ECh. 3.1 - Prob. 64ECh. 3.1 - Prob. 65ECh. 3.1 - Prob. 66ECh. 3.1 - Prob. 67ECh. 3.1 - Prob. 68ECh. 3.1 - Prob. 69ECh. 3.1 - Prob. 70ECh. 3.1 - Prob. 71ECh. 3.1 - Prob. 72ECh. 3.1 - Prob. 73ECh. 3.1 - Prob. 74ECh. 3.2 - In Exercises 11—14, fill in each blank with the...Ch. 3.2 - In Exercises 11—14, fill in each blank with the...Ch. 3.2 - In Exercises 11—14, fill in each blank with the...Ch. 3.2 - In Exercises 11—14, fill in each blank with the...Ch. 3.2 - In Exercises 15—18, determine whether the...Ch. 3.2 - In Exercises 15—18, determine whether the...Ch. 3.2 - In Exercises 15—18, determine whether the...Ch. 3.2 - In Exercises 15—18, determine whether the...Ch. 3.2 - Find the sample variance and standard deviation...Ch. 3.2 - Find the sample variance and standard deviation...Ch. 3.2 - Find the sample variance and standard deviation...Ch. 3.2 - Find the population variance and standard...Ch. 3.2 - Find the population variance and standard...Ch. 3.2 - Find the population variance and standard...Ch. 3.2 - Approximate the sample variance and standard...Ch. 3.2 - Approximate the sample variance and standard...Ch. 3.2 - Approximate the population variance and standard...Ch. 3.2 - Approximate the population variance and standard...Ch. 3.2 - Prob. 27ECh. 3.2 - Prob. 28ECh. 3.2 - Prob. 29ECh. 3.2 - Prob. 30ECh. 3.2 - Prob. 31ECh. 3.2 - Sports car or convertible? The following table...Ch. 3.2 - Heavy football players: Following are the weights,...Ch. 3.2 - Beer: The following table presents the number of...Ch. 3.2 - Whats your favorite TV show? The following table...Ch. 3.2 - House price: The following table presents price....Ch. 3.2 - Stock prices: Following are the closing prices of...Ch. 3.2 - Stocks or bonds? Following are the annual...Ch. 3.2 - Time to review: The following table presents the...Ch. 3.2 - Age distribution: The ages of residents of Banks...Ch. 3.2 - Lunch break: In a recent survey of 655 working...Ch. 3.2 - Pay your bills: In a large sample of customer...Ch. 3.2 - Newborn babies: A study conducted by the Center...Ch. 3.2 - Internet providers: In a survey of 600 homeowners...Ch. 3.2 - Lunch break: For the data in Exercise 41. Estimate...Ch. 3.2 - Pay your bill: For the data in Exercise 42....Ch. 3.2 - New born babies: For the data in Exercise 43....Ch. 3.2 - Prob. 48ECh. 3.2 - Prob. 49ECh. 3.2 - Empirical Rule OK? The following histogram...Ch. 3.2 - Empirical Rule OK? The following histogram...Ch. 3.2 - Empirical Rule OK? The following histogram...Ch. 3.2 - Whats the temperature? The temperature in a...Ch. 3.2 - Find the standard deviation: The National Center...Ch. 3.2 - Find the standard deviation: The National Center...Ch. 3.2 - Price of electricity: The Energy Information...Ch. 3.2 - Possible or impossible? A data set has a mean of...Ch. 3.2 - Possible or impossible? A data set has a mean of...Ch. 3.2 - Prob. 59ECh. 3.2 - Prob. 60ECh. 3.2 - Height and weight: A Naona1 Center for Health...Ch. 3.2 - Test scores: Scores on a statistics exam had a...Ch. 3.2 - Mean absolute deviation: A measure of spread that...Ch. 3.3 - In Exercises 9—12, fill in each blank with the...Ch. 3.3 - In Exercises 9—12, fill in each blank with the...Ch. 3.3 - In Exercises 9—12, fill in each blank with the...Ch. 3.3 - In Exercises 9—12, fill in each blank with the...Ch. 3.3 - In Exercises 13—16, determine whether the...Ch. 3.3 - In Exercises 13—16, determine whether the...Ch. 3.3 - In Exercises 13—16, determine whether the...Ch. 3.3 - In Exercises 13—16, determine whether the...Ch. 3.3 - A popu1aon has mean =7 and standard deviation =2....Ch. 3.3 - A population has mean =25 and standard deviation...Ch. 3.3 - In Exercises 19 and 20, identify the outlier. Then...Ch. 3.3 - Prob. 16ECh. 3.3 - For the data set 37 82 20 25 31 10 41 44 4 36 68...Ch. 3.3 - For the data set Find the first and third...Ch. 3.3 - For the data set Find the 58th percentile. Find...Ch. 3.3 - For the data set Find the 80th percentile. Find...Ch. 3.3 - Prob. 21ECh. 3.3 - A fish story: The mean length of one-year-old...Ch. 3.3 - Blood pressure in men: The three quartiles for...Ch. 3.3 - Blood pressure in women: The article referred to...Ch. 3.3 - Hazardous waste: Following is a list of the number...Ch. 3.3 - Cholesterol levels: The National Health and...Ch. 3.3 - Commuting to work: Jamie drives to work every...Ch. 3.3 - Windy city by the bay: Following are wind speeds...Ch. 3.3 - Caffeine: Following are the number of grams of...Ch. 3.3 - Prob. 30ECh. 3.3 - Prob. 31ECh. 3.3 - Prob. 32ECh. 3.3 - Bragging rights: After learning his score on a...Ch. 3.3 - Who scored the highest? On a final exam in a large...Ch. 3.3 - Prob. 35ECh. 3.3 - Prob. 36ECh. 3.3 - Prob. 37ECh. 3.3 - Prob. 38ECh. 3.3 - Prob. 39ECh. 3.3 - Boxplot possible? Following is the five-number...Ch. 3.3 - Unusual boxplot: Ten residents of a town were...Ch. 3.3 - Prob. 42ECh. 3.3 - Prob. 43ECh. 3.3 - Prob. 44ECh. 3.3 - z-scores and skewed data: Table 3.9 presents the...Ch. 3 - Of the mean, median and mode, which must be a...Ch. 3 - The prices (in dollars) for a sample of personal...Ch. 3 - Prob. 3CQCh. 3 - Prob. 4CQCh. 3 - Prob. 5CQCh. 3 - Prob. 6CQCh. 3 - Each of the following histograms represents a data...Ch. 3 - In Exercises 8—11, suppose that the mean...Ch. 3 - Prob. 9CQCh. 3 - In Exercises 8—11, suppose that the mean...Ch. 3 - Prob. 11CQCh. 3 - Prob. 12CQCh. 3 - Prob. 13CQCh. 3 - Prob. 14CQCh. 3 - Prob. 15CQCh. 3 - Support your local artist: Following are the...Ch. 3 - Prob. 2RECh. 3 - Prob. 3RECh. 3 - Prob. 4RECh. 3 - Prob. 5RECh. 3 - Prob. 6RECh. 3 - Measure that ball: Each of 16 students measured...Ch. 3 - Prob. 8RECh. 3 - Rivets: A machine makes rivets that are used in...Ch. 3 - Prob. 10RECh. 3 - Prob. 11RECh. 3 - Advertising costs: The amounts spent (in billions)...Ch. 3 - Prob. 13RECh. 3 - Prob. 14RECh. 3 - Prob. 15RECh. 3 - The U.S. Department of Labor annually publishes an...Ch. 3 - Explain why the Empirical Rule is more useful than...Ch. 3 - Prob. 3WAICh. 3 - Prob. 4WAICh. 3 - Percentiles are values that divide a data set into...Ch. 3 - Prob. 1CSCh. 3 - Prob. 2CSCh. 3 - Prob. 3CSCh. 3 - Prob. 4CSCh. 3 - Prob. 5CSCh. 3 - Prob. 6CSCh. 3 - Prob. 7CSCh. 3 - Prob. 8CSCh. 3 - Electronic devices contain electric circuits...
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