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:

Binocular Disparity

The difference in image location of an object seen by the left and right eyes, resulting from the eyes’ horizontal separation.

Motion Parallax

A depth cue involving differences in speed and direction of objects' motion in the visual field due to the observer's movement.

Depth Cue

Visual or auditory indicators that provide information about the distance and three-dimensionality of objects in the environment.

Binocular Disparity

The difference in the images received by the two eyes due to their slightly different perspectives, important for depth perception.