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The Federal Bureau of Investigation (FBI), as part of its internal security mission, serves as a database for all the reported crimes committed in the United States. One question that might be of interest is does having more police officers reduce the number of homicides? To investigate this claim, the 2013 data from the twenty largest municipal cities was supplied by the FBI's Uniform Crime Report. Below are two observations from the dataset: > head (cities) City Pop Homicides Police Density MedHome Mayor 1 New York 8175.133 335 4.2595 27016.30 5.5390 1 2 Chicago 2695.598 414 4.4309 11843.58 1.8310 1

The Federal Bureau of Investigation (FBI), as part of its internal security mission, serves as a database for all the reported crimes committed in the United States. One question that might be of interest is does having more police officers reduce the number of homicides? To investigate this claim, the 2013 data from the twenty largest municipal cities was supplied by the FBI's Uniform Crime Report. Below are two observations from the dataset: > head (cities) City Pop Homicides Police Density MedHome Mayor 1 New York 8175.133 335 4.2595 27016.30 5.5390 1 2 Chicago 2695.598 414 4.4309 11843.58 1.8310 1

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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The Federal Bureau of Investigation (FBI), as part of its internal security mission, serves as a database for all the reported crimes committed in the United States. One question that might be of interest is does having more police officers reduce the number of homicides? To investigate this claim, the 2013 data from the twenty largest municipal cities was supplied by the FBI's Uniform Crime Report. Below are two observations from the dataset: > head (cities) City Pop Homicides Police Density MedHome Mayor 1 New York 8175.133 335 4.2595 27016.30 5.5390 1 2 Chicago 2695.598 414 4.4309 11843.58 1.8310 The variables included in the study are: Name of city Population of city in 1,000s of people Number of homicides in the year 2013 Number of police officers per 1,000 people Number of people per square mile Median home price in $100,000 1 if city has a "Strong Mayor" form of government; 0 if not City Рор Homicides Police Density MedHome Мayor Model: log(u;) = Bo + B1Police; + B2MedHome; + B3I(Mayor;) + log(Pop;) mod1 glm (Homicides ~ Police + MedHome + Mayor, family=poisson, offset=log (Pop)) Coefficients: Estimate Std. Error z value Pr(>]z|) (Intercept) -2.19745 0.35530 -6.185 1.31e-05 Police 0.05424 0.11390 0.476 0.640352 i MedHome -0.28076 0.05630 -4.987 0.000134 Мayor 0.60000 0.31171 1.925 0.072219 (Dispersion parameter for poisson family taken to be 1)
Transcribed Image Text:The Federal Bureau of Investigation (FBI), as part of its internal security mission, serves as a database for all the reported crimes committed in the United States. One question that might be of interest is does having more police officers reduce the number of homicides? To investigate this claim, the 2013 data from the twenty largest municipal cities was supplied by the FBI's Uniform Crime Report. Below are two observations from the dataset: > head (cities) City Pop Homicides Police Density MedHome Mayor 1 New York 8175.133 335 4.2595 27016.30 5.5390 1 2 Chicago 2695.598 414 4.4309 11843.58 1.8310 The variables included in the study are: Name of city Population of city in 1,000s of people Number of homicides in the year 2013 Number of police officers per 1,000 people Number of people per square mile Median home price in $100,000 1 if city has a "Strong Mayor" form of government; 0 if not City Рор Homicides Police Density MedHome Мayor Model: log(u;) = Bo + B1Police; + B2MedHome; + B3I(Mayor;) + log(Pop;) mod1 glm (Homicides ~ Police + MedHome + Mayor, family=poisson, offset=log (Pop)) Coefficients: Estimate Std. Error z value Pr(>]z|) (Intercept) -2.19745 0.35530 -6.185 1.31e-05 Police 0.05424 0.11390 0.476 0.640352 i MedHome -0.28076 0.05630 -4.987 0.000134 Мayor 0.60000 0.31171 1.925 0.072219 (Dispersion parameter for poisson family taken to be 1)
e. Now say an interaction between Police and Mayor is included in the model above (adding B4Police; * I(Mayor;) to the model). Explain what an interaction between Police and Mayor on homicide rate means in context of the problem.
Transcribed Image Text:e. Now say an interaction between Police and Mayor is included in the model above (adding B4Police; * I(Mayor;) to the model). Explain what an interaction between Police and Mayor on homicide rate means in context of the problem.
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