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

question 6

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). $$\begin{array} { c c c c c c c c c c c } \hline \mathrm { x } & 3 & 4 & 4 & 2 & 5 & 3 & 4 & 5 & 3 & 2 \\\hline \mathrm { y } & 57 & 78 & 72 & 58 & 89 & 63 & 73 & 84 & 75 & 48 \\\hline\end{array}$$ The regression equation $$\hat { y } = 31.55 + 10.90 x$$ was obtained. Construct a residual plot for the data.

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Definitions:

Decision Matrix

A tool that helps in evaluating and prioritizing a list of options based on a set of criteria.

Quantitative

Relating to, measuring, or measured by the quantity of something rather than its quality.

Qualitative

Pertaining to or involving the quality or kind of something rather than its quantity.

Audiovisual Services

Audiovisual services refer to businesses or departments that provide equipment, support, and services for sound and visual media presentations.