Question

The following table presents the number of police officers (per 100,000 citizens) and the annual murder rate (per 100,000 citizens) for a sample of cities. Police Office (per 100,000) Murde per 100.000 per VI) 37 1352 34 1271 1275 39 1472 1017 52 The correlation coefficient between the per capita number of police officers and the per capita murder rates -0.899. Which of the following is the best interpretation of the correlation coefficient? Higher murder rates make it more difficult for cities to hire police officers. The per capita number of police officers and the per capita murder rates are positively associated. The per capita murder rate tends to go down as the per capita number of police officers goes up. More per capita police officers results in fewer per capita murders.

Answer 1

Per capita murder rate tends to go down has the per capita number of police officer goes up .

The above statement is the best interpretation of the given correlation coefficient .

the correlation coefficient suggest that the relation between the variables are strongly negatively correlated so when one variable increases, the other variable decreases, here the variable which decreases is number of murders and variable which increases is number of police officers .