In Order for Applicants to Work for the Foreign-Service Department $\mathrm { s_e }$

Multiple Choice

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. Find the
Standard of estimate, $\mathrm { s_e }$ given that ? = 6.91x + 46.26. $$\begin{array} { l | c | c | c | c | c | c | c | c | c | } \text { Number of years, } x & 3 & 4 & 4 & 5 & 3 & 6 & 2 & 7 & 3 \\\hline \text { Grades on test, } y & 61 & 68 & 75 & 82 & 73 & 90 & 58 & 93 & 72\end{array}$$

A) 4.578
B) 3.412
C) 5.192
D) 6.713