APPLIED STAT.IN BUS.+ECONOMICS
6th Edition
ISBN: 9781259957598
Author: DOANE
Publisher: RENT MCG
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Chapter 7, Problem 113CE
a.
To determine
Find the
b.
To determine
Explain the reason that the answer is more than 50 percent.
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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 7 Solutions
APPLIED STAT.IN BUS.+ECONOMICS
Ch. 7.1 - Flight 202 is departing Los Angeles. Is each...Ch. 7.1 - It is Saturday morning at Starbucks. Is each...Ch. 7.1 - Which of the following could not be probability...Ch. 7.1 - For a continuous PDF, why cant we sum the...Ch. 7.2 - Find the mean and standard deviation for each...Ch. 7.2 - Find each uniform continuous probability and...Ch. 7.2 - For a continuous uniform distribution, why is P(25...Ch. 7.2 - Assume the weight of a randomly chosen American...Ch. 7.2 - Prob. 9SECh. 7.2 - Jills resting heart rate (bpm) is a uniformly...
Ch. 7.3 - If all normal distributions have the same shape,...Ch. 7.3 - (a) At what x value does f (x) reach a maximum for...Ch. 7.3 - State the Empirical Rule for a normal distribution...Ch. 7.3 - Discuss why you would or would not expect each of...Ch. 7.4 - Find the standard normal area for each of the...Ch. 7.4 - Find the standard normal area for each of the...Ch. 7.4 - Find the standard normal area for each of the...Ch. 7.4 - Find the standard normal area for each of the...Ch. 7.4 - Find the standard normal area for each of the...Ch. 7.4 - Bobs exam score was 2.17 standard deviations above...Ch. 7.4 - Joans finishing time for the Bolder Boulder 10K...Ch. 7.4 - Find the associated z-score for each of the...Ch. 7.4 - Prob. 23SECh. 7.4 - Find the associated z-score or scores that...Ch. 7.4 - Prob. 25SECh. 7.4 - High school students across the nation compete in...Ch. 7.4 - Prob. 27SECh. 7.4 - Suppose X N(56, 4). Write the Excel function to...Ch. 7.4 - Suppose the volume of liquid soap (X) in a...Ch. 7.4 - Daily output of Marathons Garyville, Lousiana,...Ch. 7.4 - Assume that the number of calories in a McDonalds...Ch. 7.4 - The weight of a miniature Tootsie Roll is normally...Ch. 7.4 - The pediatrics unit at Carver Hospital has 24...Ch. 7.4 - The cabin of a business jet has a cabin height 5...Ch. 7.4 - On January 1, 2011, a new standard for baseball...Ch. 7.4 - Last years freshman class at Big State University...Ch. 7.4 - Suppose X N(56, 4). Write the Excel function to...Ch. 7.4 - Suppose the volume of liquid soap (X) in a...Ch. 7.4 - The time required to verify and fill a common...Ch. 7.4 - The time required to cook a pizza at a...Ch. 7.4 - The weight of a McDonalds cheeseburger is normally...Ch. 7.4 - The weight of a small Starbucks coffee is a...Ch. 7.4 - The weights of newborn babies in Foxboro Hospital...Ch. 7.4 - The credit scores of 35-year-olds applying for a...Ch. 7.4 - The number of patients needing a bed at any point...Ch. 7.4 - A ski resort pays its part-time seasonal employees...Ch. 7.4 - The average cost of an IRS Form 1040 tax filing at...Ch. 7.4 - Use Excel to find each probability. a. P(X 110)...Ch. 7.4 - Use Excel to find each probability. a. P(80 X 10)...Ch. 7.4 - The weight of a small Starbucks coffee is a normal...Ch. 7.4 - A study found that the mean waiting time to see a...Ch. 7.4 - High-strength concrete is supposed to have a...Ch. 7.5 - The default rate on government-guaranteed student...Ch. 7.5 - In a certain store, there is a .03 probability...Ch. 7.5 - The probability is .90 that a vending machine in...Ch. 7.5 - When confronted with an in-flight medical...Ch. 7.5 - Prob. 57SECh. 7.5 - Prob. 58SECh. 7.5 - On average, 28 patients per hour arrive in the...Ch. 7.5 - For a large Internet service provider (ISP), web...Ch. 7.6 - In Santa Theresa, false alarms are received at the...Ch. 7.6 - Between 11 p.m. and midnight on Thursday night,...Ch. 7.6 - A passenger metal detector at Chicagos Midway...Ch. 7.6 - The Johnson family uses a propane gas grill for...Ch. 7.6 - At a certain Noodles Company restaurant,...Ch. 7.6 - The time it takes a ski patroller to respond to an...Ch. 7.6 - Between 11 p.m. and midnight on Thursday night,...Ch. 7.6 - The shoplifting sensor at a certain Best Buy exit...Ch. 7.6 - Between 2 a.m. and 4 a.m. at an all-night pizza...Ch. 7.6 - The mean life of a certain computer hard disk in...Ch. 7.7 - Suppose that the distribution of order sizes (in...Ch. 7.7 - Suppose that the distribution of oil prices (/bbl)...Ch. 7 - (a) Why does a point have zero probability in a...Ch. 7 - Define (a) parameter, (b) PDF, and (c) CDF.Ch. 7 - For the uniform distribution: (a) tell how many...Ch. 7 - For the normal distribution: (a) tell how many...Ch. 7 - Prob. 5CRCh. 7 - (a) What is the transformation to standardize a...Ch. 7 - (a) Explain the difference between Appendix C-1...Ch. 7 - Write an example of each of the four normal...Ch. 7 - Prob. 9CRCh. 7 - For the exponential distribution: (a) tell how...Ch. 7 - Prob. 11CRCh. 7 - For the triangular distribution: (a) tell how many...Ch. 7 - Which of the following is a continuous random...Ch. 7 - Which of the following could be probability...Ch. 7 - Applicants for a night caretaker position arc...Ch. 7 - Passengers using New Yorks MetroCard system must...Ch. 7 - Discuss why you would or would not expect each of...Ch. 7 - Why might the following not be normally...Ch. 7 - Scores on a certain accounting exam were normally...Ch. 7 - Chlorine concentration in a municipal water supply...Ch. 7 - The weekly demand for Baked Lays potato chips at a...Ch. 7 - The weekly demand for Papa Chubbys pizzas on a...Ch. 7 - The amounts spent by customers at a Noodles ...Ch. 7 - The length of a Colorado brook trout is normally...Ch. 7 - The caffeine content of a cup of home-brewed...Ch. 7 - The fracture strength of a certain type of...Ch. 7 - Tire pressure monitoring systems (TPMS) warn the...Ch. 7 - In a certain microwave oven on the high power...Ch. 7 - Procyon Manufacturing produces tennis balls. Their...Ch. 7 - Shower temperature at the Oxnard Health Club...Ch. 7 - Tests show that, on average, the Li-ion Hitachi...Ch. 7 - The time it takes to give a man a shampoo and...Ch. 7 - The length of a time-out during a televised...Ch. 7 - If the weight (in grams) of cereal in a box of...Ch. 7 - Demand for residential electricity at 6:00 p.m. on...Ch. 7 - Jims systolic blood pressure is a random variable...Ch. 7 - A statistics exam was given. Calculate the...Ch. 7 - Are the following statements true or false?...Ch. 7 - John can take either of two routes (A or B) to LAX...Ch. 7 - The amount of fill in a half-liter (500 ml) soft...Ch. 7 - The length of a certain kind of Colorado brook...Ch. 7 - Times for a surgical procedure are normally...Ch. 7 - Prob. 103CECh. 7 - Among live deliveries, the probability of a twin...Ch. 7 - Nationwide, the probability that a rental car is...Ch. 7 - The probability of being in a car accident when...Ch. 7 - A multiple-choice exam has 100 questions. Each...Ch. 7 - The probability that a certain kind of flower seed...Ch. 7 - Prob. 109CECh. 7 - Prob. 110CECh. 7 - Prob. 111CECh. 7 - Automobile warranty claims for engine mount...Ch. 7 - Prob. 113CECh. 7 - Prob. 114CECh. 7 - The price (dollars per 1,000 board feet) of...Ch. 7 - Prob. 116CECh. 7 - Prob. 117CECh. 7 - (a) Write an Excel formula to generate a random...Ch. 7 - (a) Write an Excel formula to generate a random...Ch. 7 - On a police sergeants examination, the historical...Ch. 7 - Which type of probability (empirical, classical,...Ch. 7 - For the following contingency table, find (a) P(H ...Ch. 7 - If P(A) = .30, P(B) = .70, and P(A B) = .25, are...Ch. 7 - Prob. 4ERQCh. 7 - Which statement is true? Why not the others? a....Ch. 7 - Prob. 6ERQCh. 7 - Assuming independent arrivals with a mean of 2.5...Ch. 7 - If a random experiment whose success probability...Ch. 7 - In a random experiment with 50 independent trials...Ch. 7 - Prob. 10ERQCh. 7 - Prob. 11ERQCh. 7 - Prob. 12ERQCh. 7 - Prob. 13ERQCh. 7 - Prob. 14ERQCh. 7 - Prob. 15ERQCh. 7 - Prob. 16ERQCh. 7 - If arrivals follow a Poisson distribution with...Ch. 7 - In the previous problem, find (a) the 95th...Ch. 7 - Which statement is correct concerning the normal...Ch. 7 - Prob. 20ERQ
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