In order for applicants to work for the foreign-service department, they must take a test in the language of the country where they plan to work. The data below shows the relationship between the number of years that
Applicants have studied a particular language and the grades they received on the proficiency exam. Calculate
The correlation coefficient, r. $$\begin{array} { l | c | c | c | c | c | c | c | c | c | }
\text { Number of years, } \mathrm { x } & 5 & 6 & 6 & 7 & 5 & 8 & 4 & 9 & 5 \
\hline \text { Grades on test, } \mathrm { y } & 52 & 59 & 66 & 73 & 64 & 81 & 49 & 84 & 63
\end{array}$$
A)0.934
B)0.911
C)0.891
D)0.902

Question

In order for applicants to work for the foreign-service department, they must take a test in the language of the country where they plan to work. The data below shows the relationship between the number of years that
Applicants have studied a particular language and the grades they received on the proficiency exam. Calculate
The correlation coefficient, r. $$\begin{array} { l | c | c | c | c | c | c | c | c | c | } 
\text { Number of years, } \mathrm { x } & 5 & 6 & 6 & 7 & 5 & 8 & 4 & 9 & 5 \
\hline \text { Grades on test, } \mathrm { y } & 52 & 59 & 66 & 73 & 64 & 81 & 49 & 84 & 63
\end{array}$$
A)0.934
B)0.911
C)0.891
D)0.902

Quizplus · Accepted Answer

The correlation coefficient, r, is a measure of the strength and direction of the linear relationship between two variables. It can take values between -1 and 1, where -1 indicates a perfect negative relationship, 0 indicates no relationship, and 1 indicates a perfect positive relationship.In this case, the correlation coefficient between the number of years that applicants have studied a particular language and the grades they received on the proficiency exam is 0.934. This indicates a strong positive relationship between the two variables, meaning that as the number of years of study increases, the grades on the proficiency exam also tend to increase.

In Order for Applicants to Work for the Foreign-Service Department