Introductory Statistics
3rd Edition
ISBN: 9780135188927
Author: Gould, Robert, Ryan, Colleen N. (colleen Nooter)
Publisher: Pearson,
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Textbook Question
Chapter 2, Problem 4SE
Fast Food Calories The histogram shown is for number of calories in a sample of fast-food items. (Source: StatCrunch survey).
a. What is the bin width of the histogram?
b. Would this graph be best described as unimodal or bimodal?
c. Approximately what percentage of the fast-food items contained fewer than 300 calories?
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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
Introductory Statistics
Ch. 2 - Pulse Rates The dotplot shown is for resting pulse...Ch. 2 - Glucose A dotplot of the glucose readings from 132...Ch. 2 - Pulse Rates The histogram shown is for pulse rates...Ch. 2 - Fast Food Calories The histogram shown is for...Ch. 2 - Pulse Rates (Example 1) The resting pulse rates...Ch. 2 - Post Office Customers A post office branch...Ch. 2 - Cereals The following dotplots show the number of...Ch. 2 - Coins’ Weights The weights of coins (in grams)...Ch. 2 - Sleep (Example 2) An instructor asks a class of...Ch. 2 - Parking Tickets A group of 80 drivers in a large...
Ch. 2 - Arm spans (Example 3) According to the ancient...Ch. 2 - Tuition The distribution of in-state annual...Ch. 2 - Pulse Rates (Example 4) From the histogram in...Ch. 2 - Fast Food Calories From the histogram shown in...Ch. 2 - BMI (Example 5) The histograms show the Body Mass...Ch. 2 - Triglycerides The histograms show triglyceride...Ch. 2 - Education (Example 6) In 2012, the General Social...Ch. 2 - Siblings The histogram shows the distribution of...Ch. 2 - Monthly Car Costs The histograms show the monthly...Ch. 2 - Car MPG The histograms show the miles per gallon...Ch. 2 - Matching Histograms Match each of the three...Ch. 2 - Matching Match each histogram given with the...Ch. 2 - Matching Match each description with the correct...Ch. 2 - Matching Match each description with the correct...Ch. 2 - Comparing Weights of Olympic Hockey and Soccer...Ch. 2 - Rents in San Francisco The data show monthly rents...Ch. 2 - Textbook Prices The table shows prices of 50...Ch. 2 - SAT scores The following table shows a random...Ch. 2 - Animal Longevity The following table in Exercise...Ch. 2 - Animal Gestation Periods The accompanying table...Ch. 2 - Tax Rate A StatCrunch survey asked people what...Ch. 2 - Pets A StatCrunch survey asked people whether they...Ch. 2 - Law School Tuition Data are shown for the cost of...Ch. 2 - Text Messages Recently, 115 users of StatCrunch...Ch. 2 - Beer, Calories Data are available on the number of...Ch. 2 - Beer, Alcohol Data are available on the percent...Ch. 2 - Changing Multiple-Choice Answers When Told Not to...Ch. 2 - Preventable Deaths According to the World Health...Ch. 2 - Ice Cream Preference (Example 8) Suppose a group...Ch. 2 - Prob. 40SECh. 2 - Gun Availability Pew Research conducted a survey...Ch. 2 - Entry-Level Education The Bureau of Labor...Ch. 2 - Obesity Among Adults (Example 9) Data on obesity...Ch. 2 - Fitness Among Adults Data on the percentage of...Ch. 2 - Internet Browsers The following table gives the...Ch. 2 - Commercial Radio The following table gives the...Ch. 2 - Garage The accompanying graph shows the...Ch. 2 - Body Image A student has gathered data on...Ch. 2 - Pie Chart of Sleep Hours The pie chart reports the...Ch. 2 - Age and Gender The following graph shows the ages...Ch. 2 - Musicians Survey: StatCrunch Graph The...Ch. 2 - Cell Phone Use Refer to the accompanying bar...Ch. 2 - Sleep The following table shows the first few...Ch. 2 - Majors The following table shows the first few...Ch. 2 - Hormone Replacement Therapy The use of the drug...Ch. 2 - E-Music The bar graph shows information reported...Ch. 2 - Hormone Replacement Therapy Again The following...Ch. 2 - Holding Your Breath A group of students held their...Ch. 2 - Global Temperatures The histograms show the...Ch. 2 - Employment after Law School Accredited law schools...Ch. 2 - Opinions on Nuclear Energy People were asked...Ch. 2 - Stem Cell Research People were asked whether they...Ch. 2 - Create a dotplot that has at least 10 observations...Ch. 2 - Create a dotplot that has at least 10 observations...Ch. 2 - Traffic Cameras College students Jeannette Mujica,...Ch. 2 - Ideal Weight Thirty-nine students (26 women and 13...Ch. 2 - MPH The graphs show the distribution of...Ch. 2 - Shoe Sizes The graph shows shoe sizes for men and...Ch. 2 - CEO Salaries Predict the shape of the distribution...Ch. 2 - Cigarettes A physician asks all of his patients to...Ch. 2 - Changing Multiple-Choice Answers When Told to Do...Ch. 2 - ER Visits for Injuries The graph shows the rates...Ch. 2 - Social Media Use The Pew Research Center documents...Ch. 2 - Social Media Use The Pew Research Center gathered...Ch. 2 - Choosing a Graph For each situation, describe the...Ch. 2 - Choosing a Graph For each situation, describe the...
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