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

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Essay

Applicants for a particular job, which involves extensive travel in Spanish speaking countries, must take a
proficiency test in Spanish. The sample data below were obtained in a study of the relationship between the
numbers of years applicants have studied Spanish (x) and their score on the test (y). x3442534532y57787258896373847548\begin{array} { c c c c c c c c c c c } \hline \mathrm { x } & 3 & 4 & 4 & 2 & 5 & 3 & 4 & 5 & 3 & 2 \\\hline \mathrm { y } & 57 & 78 & 72 & 58 & 89 & 63 & 73 & 84 & 75 & 48 \\\hline\end{array} The regression equation y^=31.55+10.90x\hat { y } = 31.55 + 10.90 x was obtained. Construct a residual plot for the data.  Applicants for a particular job, which involves extensive travel in Spanish speaking countries, must take a proficiency test in Spanish. The sample data below were obtained in a study of the relationship between the numbers of years applicants have studied Spanish (x) and their score on the test (y).  \begin{array} { c c c c c c c c c c c }  \hline \mathrm { x } & 3 & 4 & 4 & 2 & 5 & 3 & 4 & 5 & 3 & 2 \\ \hline \mathrm { y } & 57 & 78 & 72 & 58 & 89 & 63 & 73 & 84 & 75 & 48 \\ \hline \end{array}  The regression equation  \hat { y } = 31.55 + 10.90 x  was obtained. Construct a residual plot for the data.


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