Essential Statistics
2nd Edition
ISBN: 9781259570643
Author: Navidi
Publisher: MCG
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Chapter 2.2, Problem 26E
a.
To determine
Construct a frequency histogram for the American League.
b.
To determine
Construct a frequency histogram for the National League.
c.
To determine
Construct a relative frequency distribution for the American League.
d.
To determine
Construct a relative frequency distribution for the National League.
e.
To determine
Construct a relative frequency histogram for American League.
f.
To determine
Construct a relative frequency histogram for National League.
g.
To determine
Find the percentage of percentage of American League players had batting averages of 0.300 or more.
h.
To determine
Find the percentage of percentage of National League players had batting averages of 0.300 or more.
i.
To determine
Compare the relative frequency histogram of American League and National League.
Find the main difference between the distributions of batting averages in American and National League.
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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 2 Solutions
Essential Statistics
Ch. 2.1 - 1. The following table lists the types of aircraft...Ch. 2.1 - Prob. 2CYUCh. 2.1 - Prob. 3CYUCh. 2.1 - Prob. 4CYUCh. 2.1 - Prob. 5ECh. 2.1 - In Exercises 5–8, fill in each blank with the...Ch. 2.1 - Prob. 7ECh. 2.1 -
In Exercises 5–8, fill in each blank with the...Ch. 2.1 - Prob. 9ECh. 2.1 - In Exercises 9–12, determine whether the statement...
Ch. 2.1 - Prob. 11ECh. 2.1 -
In Exercises 9–12, determine whether the...Ch. 2.1 - Prob. 13ECh. 2.1 - 14. The most common blood typing system divides...Ch. 2.1 - 15. Following is a pie chart that presents the...Ch. 2.1 - 16. Student expenses: The following pie chart...Ch. 2.1 - 17. Food sources: The following side-by-side bar...Ch. 2.1 -
18. Super Bowl: The following side-by-side bar...Ch. 2.1 - Prob. 19ECh. 2.1 - 20. Popular video games: The following frequency...Ch. 2.1 - Prob. 21ECh. 2.1 - Prob. 22ECh. 2.1 - Prob. 23ECh. 2.1 - Prob. 24ECh. 2.1 - Prob. 25ECh. 2.1 - 26. How secure is your job? In a survey, employed...Ch. 2.1 - Prob. 27ECh. 2.1 - Prob. 28ECh. 2.1 - Prob. 29ECh. 2.1 - 30. Bought a new car lately? The following table...Ch. 2.1 - Prob. 31ECh. 2.1 - Prob. 32ECh. 2.1 - Prob. 33ECh. 2.1 - Prob. 34ECh. 2.1 - Prob. 35ECh. 2.2 - Using the data in Table 2.7, construct a frequency...Ch. 2.2 - Prob. 2CYUCh. 2.2 - Prob. 3CYUCh. 2.2 - Prob. 4CYUCh. 2.2 - Prob. 5ECh. 2.2 -
In Exercises 5-8, fill in each blank with the...Ch. 2.2 - Prob. 7ECh. 2.2 - Prob. 8ECh. 2.2 - Prob. 9ECh. 2.2 - Prob. 10ECh. 2.2 - Prob. 11ECh. 2.2 - In Exercises 9-12, determine whether the statement...Ch. 2.2 - Prob. 13ECh. 2.2 - In Exercises 13–16, classify the histogram as...Ch. 2.2 - Prob. 15ECh. 2.2 - In Exercises 13–16, classify the histogram as...Ch. 2.2 - In Exercises 17 and 18, classify the histogram as...Ch. 2.2 - In Exercises 17 and 18, classify the histogram as...Ch. 2.2 - Prob. 19ECh. 2.2 - 20. Trained rats: Forty rats were trained to run a...Ch. 2.2 - 21. Interpret histogram: The following histogram...Ch. 2.2 - Prob. 22ECh. 2.2 - Prob. 23ECh. 2.2 - Skewed which way? For which of the following data...Ch. 2.2 - Prob. 25ECh. 2.2 - 26. Batting average: The following frequency...Ch. 2.2 - Prob. 27ECh. 2.2 - 28. Murder, she wrote: The following frequency...Ch. 2.2 - BMW prices: The following table presents the...Ch. 2.2 - Geysers: The geyser Old Faithful in Yellowstone...Ch. 2.2 - Prob. 31ECh. 2.2 - Internet radio: The following table presents the...Ch. 2.2 - Prob. 33ECh. 2.2 - Prob. 34ECh. 2.2 - Prob. 35ECh. 2.2 - Prob. 36ECh. 2.2 - 37. Silver ore: The following histogram presents...Ch. 2.2 - Classes of differing widths: Consider the...Ch. 2.3 - Weights of college students: The following table...Ch. 2.3 - Prob. 2CYUCh. 2.3 - Prob. 3ECh. 2.3 - Prob. 4ECh. 2.3 - In Exercises 3–6, fill in each blank with the...Ch. 2.3 - Prob. 6ECh. 2.3 - Prob. 7ECh. 2.3 - Prob. 8ECh. 2.3 - Prob. 9ECh. 2.3 - Prob. 10ECh. 2.3 - Prob. 11ECh. 2.3 - Prob. 12ECh. 2.3 - Prob. 13ECh. 2.3 - 14. List the data in the following stem-and-leaf...Ch. 2.3 - Prob. 15ECh. 2.3 - Prob. 16ECh. 2.3 - BMW prices: The following table presents the...Ch. 2.3 - How’s the weather? The following table presents...Ch. 2.3 - Prob. 19ECh. 2.3 - Prob. 20ECh. 2.3 - Tennis and golf: Following are the ages of the...Ch. 2.3 - Prob. 22ECh. 2.3 - Prob. 23ECh. 2.3 - 24. Safety first: Following are the numbers of...Ch. 2.3 - Prob. 25ECh. 2.3 - Prob. 26ECh. 2.3 - Prob. 27ECh. 2.3 - Prob. 28ECh. 2.3 - Prob. 29ECh. 2.3 - 30. Going for gold: The following time-series plot...Ch. 2.3 - Prob. 31ECh. 2.3 - Prob. 32ECh. 2.3 - Prob. 33ECh. 2.3 - 34. Arctic ice sheet: The following table presents...Ch. 2.3 - Prob. 35ECh. 2.4 - The population of country A is twice as large as...Ch. 2.4 - Prob. 2CYUCh. 2.4 - Prob. 3ECh. 2.4 - Prob. 4ECh. 2.4 - Prob. 5ECh. 2.4 - Prob. 6ECh. 2.4 - Prob. 7ECh. 2.4 - Prob. 8ECh. 2.4 - Prob. 9ECh. 2.4 - Prob. 10ECh. 2.4 - Prob. 11ECh. 2.4 - Prob. 12ECh. 2.4 - College degrees: Both of the following time-series...Ch. 2.4 - Food expenditures: Both of the following...Ch. 2.4 - Prob. 15ECh. 2 - Prob. 1CQCh. 2 - Prob. 2CQCh. 2 - Prob. 3CQCh. 2 - Prob. 4CQCh. 2 - Prob. 5CQCh. 2 - 6. True or false: A histogram can have more than...Ch. 2 - Prob. 7CQCh. 2 - Prob. 8CQCh. 2 - Prob. 9CQCh. 2 - Prob. 10CQCh. 2 - Prob. 11CQCh. 2 - Prob. 12CQCh. 2 - Prob. 13CQCh. 2 - Prob. 14CQCh. 2 - Prob. 15CQCh. 2 - Prob. 1RECh. 2 - Prob. 2RECh. 2 - Prob. 3RECh. 2 - Prob. 4RECh. 2 - Prob. 5RECh. 2 - Prob. 6RECh. 2 - Prob. 7RECh. 2 - Prob. 8RECh. 2 - Prob. 9RECh. 2 - Prob. 10RECh. 2 - Prob. 11RECh. 2 - Prob. 12RECh. 2 - Prob. 13RECh. 2 - Prob. 14RECh. 2 - Prob. 15RECh. 2 - Prob. 1WAICh. 2 - Prob. 2WAICh. 2 - Prob. 3WAICh. 2 - Prob. 4WAICh. 2 - Prob. 1CSCh. 2 - Prob. 2CSCh. 2 - In the chapter introduction, we presented gas...Ch. 2 - Prob. 4CSCh. 2 - Prob. 5CSCh. 2 - Prob. 6CSCh. 2 - Prob. 7CSCh. 2 - Prob. 8CSCh. 2 - Prob. 9CS
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