Applicants for a Particular Job, Which Involves Extensive Travel in Spanish-Speaking

Applicants for a particular job, which involves extensive travel in Spanish-speaking countries, must take a proficiency test in Spanish.The sample data were obtained in a study
Of the relationship between the numbers of years applicants have studied Spanish and their
Score on the test.Use the regression analysis and summary statistics given below to find a
95% prediction interval for the score of an applicant who has studied Spanish for 3.1 years. $\begin{array} { l l l l } \text { Variable } & \text { Count } & \text { Mean } & \text { StdDev } \\ \text { Years } & 10 & 3.5 & 0.341565 \\ \text { Score } & 10 & 69.7 & 4.088058 \end{array}$
Dependent variable is: Score
$R$ squared $= 83.0 \%$
$s = 5.65138$ with $10 - 2 = 8$ degrees of freedom
$\begin{array} { l l l l l } \text { Variable } & \text { Coefficient } & \text { s.e. of Coeff } & \text { t-ratio } & \text { prob } \\ \text { Constant } & 31.53333 & 6.360418 & 4.957745 & 0.00111 \\ \text { Number of years } & 10.90476 & 1.744054 & 6.252538 & 0.000245 \end{array}$

A) $60.9$ to $69.8$
B) $61.3$ to $69.4$
C) $54.3$ to $76.4$
D) $51.6$ to $79.1$

Correct Answer:

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