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. Oxford Starksville Danville Athens 23 24 30 18 15 0 Holgate Carey Whistler Woodville 24 20 19 27 9 24 10 Click here for the Excel Data File (a) Determine the regression equation. (Round your answers to 4 decimal places. Negative values should be indicated by a minus sign.) (b) Estimate the number of crimes for a city with 21 police officers. (Round your answer to 4 decimal places.) Number of crimes (c) Interpret the regression equation. For each policeman added, the number of crimes goestclickto select), by one. Click to se ct up down eBook & Resources

Explanation / Answer

Follwoing is the output of regression analysis:

(a)

The regression equation is

y' = 39.9063-1.0063x

(b)

The predicted number of crimes for x = 21 is

y' = 39.9063-1.0063 *21 =  18.7740

(c)

Down

SUMMARY OUTPUT Regression Statistics Multiple R 0.802595813 R Square 0.64416004 Adjusted R Square 0.58485338 Standard Error 3.862075219 Observations 8 ANOVA df SS MS F Significance F Regression 1 162.00625 162.00625 10.86151268 0.016496474 Residual 6 89.49375 14.915625 Total 7 251.5 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 39.90625 7.7542642 5.146361921 0.002122783 20.93224907 58.88025093 Police, X -1.00625 0.305323855 -3.295680912 0.016496474 -1.753350557 -0.259149443

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