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       12       21   Danville   25       5       Whistler       11       19   Athens   27       7       Woodville       22       6             Click here for the Excel Data File     Which variable is the dependent variable and which is the independent variable? Hint: Which of the following makes sense: Cities with more police have fewer crimes, or cities with fewer crimes have less police?     Choose the scatter diagram that best fits the data. Scatter diagram 1 Scatter diagram 2 Scatter diagram 3         multiple choice Scatter diagram 1 Scatter diagram 2 Scatter diagram 3   c&d. Fill in the blanks below. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.)         x⎯⎯x¯     y⎯⎯y¯     Sx     Sy     Coefficient of correlation     Coefficient of determination

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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       12       21  
Danville   25       5       Whistler       11       19  
Athens   27       7       Woodville       22       6  
 

 

 

 
  Click here for the Excel Data File

 

 

  1. Which variable is the dependent variable and which is the independent variable? Hint: Which of the following makes sense: Cities with more police have fewer crimes, or cities with fewer crimes have less police?

 

 
  1. Choose the scatter diagram that best fits the data.

Scatter diagram 1 Scatter diagram 2 Scatter diagram 3
     

 

multiple choice

  • Scatter diagram 1
  • Scatter diagram 2
  • Scatter diagram 3

 

  1. c&d. Fill in the blanks below. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.)

 

     
x⎯⎯x¯    
y⎯⎯y¯    
Sx    
Sy    
Coefficient of correlation    
Coefficient of determination    
 

 

 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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