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

question 21

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 and their score on the test.Use the regression analysis below to explain what the R-squared in this regression means.
Dependent variable is: Score
R-squared = 83.0%
s = 5.65138 with 10 - 2 = 8 degrees of freedom $$\begin{array} { l l l l l } \text { Variable } & \text { Coefficient } & \text { SE(Coeff) } & \text { t-ratio } & \text { P-value } \\\text { Constant } & 31.53333 & 6.360418 & 4.957745 & 0.00111 \\\text { Number of years } & 10.90476 & 1.744054 & 6.252538 & 0.000245\end{array}$$

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Definitions:

Hypothesis

A proposed explanation made on the basis of limited evidence as a starting point for further investigation.

Human Development

The multidisciplinary study of how people change and how they remain the same over time.

Piaget

Jean Piaget was a Swiss psychologist known for his pioneering work in child development, particularly his theory of cognitive development that describes how children construct a mental model of the world.

Cross-Sectional Research

A type of observational study that analyzes data from a population, or a representative subset, at a specific point in time.