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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.
CityPolice Number of Crimes City Police Number of CrimesOxford 16 14 Holgate 19 6 Starksville 19 13 Carey 14 17 Danville 24 6 Whistler 13 20 Athens 27 7 Woodville 21 8
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a. Determine the regression equation. (Negative amounts should be indicated by a minus sign. Round your answers to 4 decimal places.)
y^= ______+_______x
b. Estimate the number of crimes for a city with 28 police officers.(Round your answer to the nearest whole number.)
number of crimes = _________
c. Interpret the regression equation :
For each policeman added , the number of crimes goes _______ by one.
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