We are given a table for the city of Detroit, Michigan USA for the period of 1961 to 1973 with the following information: a column with the number of full-time police per 100,000 citizens and a column with the number of homicides per 100,000 citizens. Year Police Homicides 1961 260.35 8.6 1962 269.8 8.9 1963 272.04 8.52 1964 272.96 8.89 1965 272.51 13.07 1966 261.34 14.57 1967 268.89 21.36 1968 295.99 28.03 1969 319.87 31.49 1970 341.43 37.39 1971 356.59 46.26 1972 376.69 47.24 1973 390.19 52.33 On the same x-axis representing the year, construct the time series of the number of police and the number of homicides on the same graph. Identify the variable that demonstrated the higher percentage increase relative to its initial value (police or homicides), and share your conclusions on the matter. Did the increase in police officers have an impact on the murder rate? Why?
We are given a table for the city of Detroit, Michigan USA for the period of 1961 to 1973 with the following information: a column with the number of full-time police per 100,000 citizens and a column with the number of homicides per 100,000 citizens. Year Police Homicides 1961 260.35 8.6 1962 269.8 8.9 1963 272.04 8.52 1964 272.96 8.89 1965 272.51 13.07 1966 261.34 14.57 1967 268.89 21.36 1968 295.99 28.03 1969 319.87 31.49 1970 341.43 37.39 1971 356.59 46.26 1972 376.69 47.24 1973 390.19 52.33 On the same x-axis representing the year, construct the time series of the number of police and the number of homicides on the same graph. Identify the variable that demonstrated the higher percentage increase relative to its initial value (police or homicides), and share your conclusions on the matter. Did the increase in police officers have an impact on the murder rate? Why?
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 16T
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Question
We are given a table for the city of Detroit, Michigan USA for the period of 1961 to 1973 with the following information: a column with the number of full-time police per 100,000 citizens and a column with the number of homicides per 100,000 citizens.
Year |
Police |
Homicides |
---|---|---|
1961 |
260.35 |
8.6 |
1962 |
269.8 |
8.9 |
1963 |
272.04 |
8.52 |
1964 |
272.96 |
8.89 |
1965 |
272.51 |
13.07 |
1966 |
261.34 |
14.57 |
1967 |
268.89 |
21.36 |
1968 |
295.99 |
28.03 |
1969 |
319.87 |
31.49 |
1970 |
341.43 |
37.39 |
1971 |
356.59 |
46.26 |
1972 |
376.69 |
47.24 |
1973 |
390.19 |
52.33 |
- On the same x-axis representing the year, construct the time series of the number of police and the number of homicides on the same graph.
- Identify the variable that demonstrated the higher percentage increase relative to its initial value (police or homicides), and share your conclusions on the matter.
- Did the increase in police officers have an impact on the murder rate? Why?
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