The city council of Pine Bluffs is considering increasing the number of police i

Question

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.

Determine the regression equation. (Round your answers to 4 decimal places. Negative values should be indicated by a minus sign.)

Estimate the number of crimes for a city with 28 police officers. (Round your answer to 4 decimal places.)

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.

Explanation / Answer

a)

Using technology, we get              
              
slope =    -1.042428676          
intercept =    37.14630578          
              
Thus, the regression line is              
              
y^ =    37.14630578 + (-1.042428676) x [ANSWER]

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b)

Thus, if x =    28
  
Then  
  
y^ =    7.958302853 [ANSWER]

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c)

As slope is negative 1.042428676, then

For each policeman added, the number of crimes goes DOWN by one. [ANSWER]

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