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. (a) Determine the regression equation. (Round your answers to 4 decimal places. Negative values should be indicated by a minus sign.) = _________ + _________ X (b) Estimate the number of crimes for a city with 22 police officers. (Round your answer to 4 decimal places.) Number of crimes _________ (c) Intercept the regression equation. For each policeman added, the number of crimes goes by one.

Explanation / Answer

using minitab

Regression Analysis: crimes versus police

The regression equation is
crimes = 35.08 - 0.9667 police

S = 3.52550   R-Sq = 77.2%   R-Sq(adj) = 73.4%

Analysis of Variance

Source      DF       SS       MS      F      P
Regression   1 252.300 252.300 20.30 0.004
Error        6   74.575   12.429
Total        7 326.875

Fitted Line: crimes versus police

answers:

crimes = 35.08 - 0.9667 police

   y=35.08-0.9667x

x=22,

y=35.08-0.9667*22=13.8126crimes

from grpah we canseen that.. for every police increases crime rate decreases

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