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

question 84

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

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Definitions:

Post-conceptual

Referring to stages or processes that occur after the initial formulation of a concept or idea.

Sensorimotor

Relating to or involving both sensory and motor functions or pathways.

Concrete Operations

A stage in Piaget's theory of cognitive development (approximately age 7 to 11) where children gain the ability to think logically about concrete, physical objects and events.

Social Interaction

The ways in which individuals communicate, share, and build relationships with each other, which is a fundamental aspect of human behavior and society.