Math Problem Statement
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?
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Time Series Analysis
Percentage Increase
Correlation
Formulas
Percentage Increase = ((Final Value - Initial Value) / Initial Value) * 100
Correlation Coefficient = cov(X, Y) / (std(X) * std(Y))
Theorems
Linear Correlation Theorem
Suitable Grade Level
Grades 10-12
Related Recommendation
Calculate Percentage Increases in Crime Rates
Linear Regression Equation for Crime Cases in New York County
Linear Regression to Predict Crime Cases in New York County Since 1998
Estimating Population Growth from Graphs: Baltimore and Cleveland (1900-2000)
Linear Regression Analysis of State-Registered Automatic Weapons and Murder Rates