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.
$$\begin{array} { c c }
\hline \text { Police Officers (per 100,000) } & \text { Murders (per 100,000 per yr) } \
\hline 1377 & 32 \
1324 & 38 \
1068 & 47 \
1443 & 33 \
1289 & 42 \
1206 & 39 \
\hline
\end{array}$$ Compute the correlation coefficient between the per capita number of police officers and the per capita murder rate.
A)-0.900
B)0.810
C)-0.810
D)-0.846

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.
 $$\begin{array} { c c } 
\hline \text { Police Officers (per 100,000) } & \text { Murders (per 100,000 per yr) } \
\hline 1377 & 32 \
1324 & 38 \
1068 & 47 \
1443 & 33 \
1289 & 42 \
1206 & 39 \
\hline
\end{array}$$ Compute the correlation coefficient between the per capita number of police officers and the per capita murder rate.
A)-0.900
B)0.810
C)-0.810
D)-0.846

Quizplus · Accepted Answer

The correlation coefficient is a measure of the strength and direction of a linear relationship between two variables. It can range from -1 to 1, with -1 indicating a perfect negative relationship, 0 indicating no relationship, and 1 indicating a perfect positive relationship.In this case, the correlation coefficient between the per capita number of police officers and the per capita murder rate is -0.900. This indicates a strong negative relationship between the two variables, meaning that as the number of police officers per capita increases, the murder rate per capita decreases.

The Following Table Presents the Number of Police Officers (Per