Question
In: Statistics and Probability
1. The city council of Pine Bluffs is considering increasing the number of police officers in...
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 17 13 Danville 25 5 Athens 27 7 Carey 12 21 Whistler 11 19 Woodville 22 6 ∑ ? = ??? ∑ ? = ?? ∑ ?? = ???? ∑ ? ? = ???? ∑ ? ? = ???? 1) Find the value of correlation coefficient r. (Keep 3 decimal places for r) 2) Interpret the result based on the value of r in part one. 3) Determine the regression equation. (Keep 4 decimal places for a and b) 4) Estimate the number of crimes for a city with 14 police officers. (Keep 1 decimal place)
Solutions
orchestra answered 1 year 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
Police
Number of Crimes
Oxford
18
17
Holgate
19
7
Starksville
19
13
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 # of Crimes
City
Oxford
12
17
Starksville
15
13
Danville
20
6
Athens
22
7
Holgate
15...
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
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 # of crimes
City Police # of crimes Oxford 15 17 Holgate 17 7 Starksville 17 13
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...
The Vic Government is considering increasing the number of police employed in a region in Victoria...
The Vic Government is considering increasing the number of
police employed in a region in Victoria in an effort to reduce
crime. Before making the final decision on the number of police to
be employed, the Ministry of Police asked that various regions of
similar size throughout Vic to be surveyed to determine the
relationship between the number of police employed and the number
of crimes reported per day. Data collected is shown in the
table.
Region
Number of Police...
The Vic Government is considering increasing the number of police employed in a region in Victoria...
The Vic Government is considering increasing the number of
police employed in a region in Victoria in an effort to reduce
crime. Before making the final decision on the number of police to
be employed, the Ministry of Police asked that various regions of
similar size throughout Vic to be surveyed to determine the
relationship between the number of police employed and the number
of crimes reported per day. Data collected is shown in the
table.
Region
Number of Police...
Problem 3 – Should more police be employed? The Victorian Government is considering increasing the number...
Problem 3 – Should more police be employed?
The Victorian Government is considering increasing the number of
police employed in a region in Victoria in an effort to reduce
crime. Before making the final decision on number of police to be
employed, the Ministry of Police asked that various regions of
similar size throughout Victoria to be surveyed to determine the
relationship between the number of police employed and the number
of crimes reported per day. The data collected is...
Number of Police Officers (X) Number of Crimes (Y) 0 10 20 10...
Number of Police Officers (X) Number of Crimes
(Y)
0 10
20 10
30 40
a. Calculate the correlation coefficient and the covariance
b. Calculate the regression coefficient of the slope.
c. State the regression equation.
d. Interpret the meaning of the intercept and slopes in this
equation. Be sure to explain using units.
e. Predict the number of crimes when the number of police
officers is 7.
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