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.A 95% prediction interval for the score of an applicant who has studied
Spanish for 4.4 years was determined to be (65.4, 93.6) .Give an interpretation of this
Interval. Dependent variable is: Score
$R$ squared $= 83.0$ 웋
$s = 5.65138$ 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) Based on this regression, we are $95 \%$ confident that the mean test score will increase between $65.4$ and $93.6$ points for each additional year spent studying Spanish.
B) Based on this regression, we are $95 \%$ confident that the mean test score for applicants who have studied Spanish for $4.4$ years will be between $65.4$ and 93.6.
C) Based on this regression, we know that $95 \%$ of all random samples will have a mean test score between $65.4$ and $93.6$ points.
D) Based on this regression, we are $95 \%$ confident that the mean number of years spent studying Spanish will increase between $65.4$ and $93.6$ years for each additional point earned on the test.
E) Based on this regression, an applicant who has studied Spanish for $4.4$ years will score between $65.4$ and $93.6$ on the proficiency test, with $95 \%$ confidence.

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