If the Coefficient of Correlation Is −0

question 114

Short Answer

If the coefficient of correlation is −0.50, the percentage of the variation in the dependent variable y that is explained by the variation in the independent variable x is: $$\begin{array} { | l | l | } \hline \text { A. } & - 50 \% \\\hline \text { B. } & 25 \% . \\\hline \text { C. } & 50 \% \\\hline \text { D. } & - 25 \% . \\\hline\end{array}$$

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Definitions:

Standardized College Entrance Exam

A test administered to prospective college students, designed to assess their readiness for college-level work and often used in admissions decisions.

Rank Correlation Coefficient

A statistic that measures the degree of association between two ranked variables, assessing the strength and direction of their relationship.

Population Spearman Correlation

A measure of the strength and direction of the monotonic relationship between paired data in a population using ranked values.

Sample Statistic

A numerical measure that describes an aspect of a sample taken from a population, such as the mean or variance.