Question
In: Statistics and Probability
The city council of Pine Bluffs is considering increasing the number of police in an effort...
The city council of Pine Bluffs is considering increasing the number of police in an effort to reduce crime. Before making a final decision, the council asked the chief of police to survey other cities of similar size to determine the relationship between the number of police and the number of crimes reported. The chief gathered the following sample information: City Police # of crimes City Police # of crimes Oxford 15 17 Holgate 17 7 Starksville 17 13 Carey 12 21 Danville 25 5 Whistler 11 19 Athens 27 7 Woodville 22 6 a) Determine the regression equation. (Show your work) b) Determine the number of crimes for a city with 20 police officers. c) Determine the standard error of estimate. d) Determine the coefficient of determination. Interpret the coefficient of determination
Solutions
Expert Solution
a)
b)
| predicted val=29.388+20*-0.96= | 10.2 crimes | |
c)
| SST=Syy= | 290.8750 | |
| SSE =Syy-(Sxy)2/Sxx= | 68.481 | |
| SSR =(Sxy)2/Sxx = | 222.3936 | |
| s2 =SSE/(n-2)= | 11.4136 | |
| std error σ = | =se =√s2= | 3.3784 |
d)
| Coeffficient of determination R^2 =SSR/SST= | 0.7646 | ||
this tells us that 76.46 % variation in # of crimes can be explained by this model
orchestra answered 2 years agoRelated Solutions
The city council of Pine Bluffs is considering increasing the number of police in an effort...
The city council of Pine Bluffs is considering increasing the
number of police in an effort to reduce crime. Before making a
final decision, the council asked the chief of police to survey
other cities of similar size to determine the relationship between
the number of police and the number of crimes reported. The chief
gathered the following sample information.
City
Police
Number of Crimes
City
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17
Holgate
19
7
Starksville
19
13
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The city council of Pine Bluffs is considering increasing the number of police in an effort...
The city council of Pine Bluffs is considering increasing the
number of police in an effort to reduce crime. Before making a
final decision, the council asked the chief of police to survey
other cities of similar size to determine the relationship between
the number of police and the number of crimes reported. The chief
gathered the following sample information.
City
Police # of Crimes
City
Oxford
12
17
Starksville
15
13
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Athens
22
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The city council of Pine Bluffs is considering increasing the number of police in an effort...
The city council of Pine Bluffs is considering increasing the
number of police in an effort to reduce crime. Before making a
final decision, the council asked the chief of police to survey
other cities of similar size to determine the relationship between
the number of police and the number of crimes reported. The chief
gathered the following sample information.
City
Police
Number of Crimes
City
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Number of Crimes
Oxford
17
13
Holgate
18
6
Starksville
18
12
Carey...
The city council of Pine Bluffs is considering increasing the number of police in an effort...
The city council of Pine Bluffs is considering increasing the
number of police in an effort to reduce crime. Before making a
final decision, the council asked the chief of police to survey
other cities of similar size to determine the relationship between
the number of police and the number of crimes reported. The chief
gathered the following sample information. City Police Number of
Crimes City Police Number of Crimes Oxford 15 17 Holgate 17 7
Starksville 17 13 Carey...
he city council of Pine Bluffs is considering increasing the number of police in an effort...
he city council of Pine Bluffs is considering increasing the
number of police in an effort to reduce crime. Before making a
final decision, the council asked the chief of police to survey
other cities of similar size to determine the relationship between
the number of police and the number of crimes reported. The chief
gathered the following sample information. City Police Number of
Crimes City Police Number of Crimes Oxford 15 17 Holgate 17 7
Starksville 17 13 Carey...
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1. The city council of Pine Bluffs is considering increasing the
number of police officers in an effort to reduce crime. Before
making a final decision, the council asks the chief of police to
survey other cities of similar size to determine the relationship
between the number of police officers and the number of crimes
reported. The chief gathered the following sample information City Police (x) Number of Crimes(y) Oxford 15 17 Starksville
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