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