Paired Sample Data Is Given

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. $$\begin{array} { r | r r r r r r r r r } \mathrm { x } & 10 & 11 & 17 & 15 & 14 & 12 & 11 & 11 & 15 \\ \hline \mathrm { y } & 20.5 & 17.4 & 54.8 & 44.2 & 33.9 & 66.2 & 19.3 & 34.5 & 32.8 \end{array}$$