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

question 4

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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% confidence interval for the mean score of all applicants who have studied Spanish for 3.1 years.  Variable  Count  Mean  StdDev  Years 103.50.341565 Score 1069.74.088058\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\mathrm { R } squared =83.0= 83.0 \%
s=5.65138s = 5.65138 with 102=810 - 2 = 8 degrees of freedom

 Variable  Coefficient  s.e. of Coeff  t-ratio  prob  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 { 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}


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