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.

City Police Number of Crimes

Oxford 19 19

Holgate 21 10

Starksville 21 15

Carey 16 21

Danville 26 9

Whistler 14 25

Athens 29 11

Woodville 23 11

A) Determine the regression equation.

B) Estimate the number of crimes in a city with 28 police officers.

C) Interpret the regression equation: For each policeman added, the number of crimes goes (up/down) by one.

Explanation / Answer

You can find a couple of calculators on line that together will help ypu solve the problem just by entering data. To get the r-square (coefficient of determination), go here:

http://ncalculators.com/statistics/r-squ...

To get the regression line equation, go here:

http://www.alcula.com/calculators/statis...

I'm sorry, I couldn't find a calculator to give you noth.

The coefficient of determinatiin tells you what proportion of thevariation in Y is explained by variation in X. So r square = .93 would mean 93% of the variation in Y was explained by variation in X.

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