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

question 27

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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 2.2 years.  Variable  Count  Mean  StdDev  Range  Years 103.50.3415653 Score 1069.74.08805841\begin{array} { l l l l c } \text { Variable } & \text { Count } & \text { Mean } & \text { StdDev } & \text { Range } \\\text { Years } & 10 & 3.5 & 0.341565 & 3 \\\text { Score } & 10 & 69.7 & 4.088058 & 41\end{array} Dependent variable is: Score R-squared = 83.0%
S = 5.65138 with 10 - 2 = 8 degrees of freedom  Variable  Coefficient  SE(Coeff)   t-ratio  P-value  Constant 31.533336.3604184.9577450.00111 Number of years 10.904761.7440546.2525380.000245\begin{array} { l l l l l } \text { Variable } & \text { Coefficient } & \text { SE(Coeff) } & \text { t-ratio } & \text { P-value } \\\text { Constant } & 31.53333 & 6.360418 & 4.957745 & 0.00111 \\\text { Number of years } & 10.90476 & 1.744054 & 6.252538 & 0.000245\end{array}


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