Paired Sample Data Is Given

question 39

Essay

Paired sample data is given. Discuss what it would mean for Assumptions 1-3 for regression inferences to be satisfied bythe variables under consideration.
-A social scientist is interested in the relationship between years of education and income in adults in the U.S. A random sample of nine working adults yields the following data, where x denotes years of education completed and y denotes annual income in thousands of dollars. $$\begin{array} { r | r r r r r r r r r } \mathrm { x } & 10 & 11 & 17 & 15 & 14 & 12 & 11 & 11 & 15 \\ \hline \mathrm { y } & 20.5 & 17.4 & 54.8 & 44.2 & 33.9 & 66.2 & 19.3 & 34.5 & 32.8 \end{array}$$

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Definitions:

Cognitive Ability

Refers to the capacity of the brain to process information, reason, remember, and relate objects and symbols to engage in abstract thinking and problem-solving.

Homo Naledi

A species of human ancestor discovered in South Africa, noted for its unique mix of primitive and modern traits.

Primitive Hominin Traits

Basic or ancestral characteristics exhibited by early human ancestors.

Evolved

Refers to the cumulative changes in heritable traits of a population over successive generations, leading to biodiversity.