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A Professor of Economics Wants to Study the Relationship Between

question 71

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A professor of economics wants to study the relationship between income y (in $1000s) and education x (in years). A random sample of eight individuals is taken and the results are shown below.  Education 161115812101314 Income 5840553543415249\begin{array} { | l | c | c | c | c | c | c | c | c | } \hline \text { Education } & 16 & 11 & 15 & 8 & 12 & 10 & 13 & 14 \\\hline \text { Income } & 58 & 40 & 55 & 35 & 43 & 41 & 52 & 49 \\\hline\end{array} Determine the coefficient of determination, and discuss what its value tells you about the two variables.

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Definitions:

Common Core Standards

A set of educational benchmarks that outline what students should know and be able to do at each grade level in math and English language arts.

English/Language Arts

An academic discipline that focuses on the study and improvement of skills in reading, writing, and literature.

Learning Disabilities

Neurologically-based processing problems that can interfere with learning basic skills such as reading, writing, or math, and can also affect higher-level skills such as organization, time planning, and abstract reasoning.

IDEA

An acronym for the Individuals with Disabilities Education Act, U.S. legislation that ensures students with disabilities are provided with Free Appropriate Public Education.

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