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Investigate the hypothesis that the number of crimes is related to police expend

ID: 3118285 • Letter: I

Question

Investigate the hypothesis that the number of crimes is related to police expenditures because states with higher crime rates are likely to increase their police force, thereby spending more on the number of officers on the street.
A. Construct a scatter diagram of the number of crimes and police expenditures, with number of crimes as the predictor variable. What can you say about the relationship between these two variables based on the scatterplot?
B. Find the least-squares regression equation that predicts police expenditures from the number of crimes. What is the slope? What is the intercept?
C. Calculate the coefficient of determination (r2), and provide an interpretation.
D. If the number of crimes increased by 2,000 for a state, by how much would you predict police expenditures to increase?
E. Does it make sense to predict police expenditures when the number of crimes is equal to zero? Why or Why not?
Data Set: Police expenditures are in millions
State Number of crimes (per 1000,000 population) Police expenditures
Maine 2,635 221
New Hampshire 2,013 274
Vermont 2,442 136
Massachusetts 2,838 , 1,673
Rhode Island 2,815 286

Explanation / Answer

If a set of data has mean=12 and standard deviation=3, then the coefficient of variation is [x]%

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