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Correlation regression and determination

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 asks 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 informaton

City Police Number of Crimes
Oxford 15 17
Starksville 17 13
Danville 25 5
Holgate 17 7
Carey 12 21
Whistler 11 19

a. If we want to estimate crimes on the basis of the number of police, which variable is the dependent variable and which is the independent variable
b. Draw a scatter diagram
c. Determine coefficient of correlation
d. determine the coefficient of determination
e. Interpret these statistical measures. Does it surprise you that the relationship is inverse?
f. Determine the regression equation
g. Estimate the number of crimes for a city with 20 police
h. Interpret the regression equation

Solution Summary

The solution provides step by step method for the calculation of correlation regression and determination . Formula for the calculation and Interpretations of the results are also included.