Paired Sample Data Is Given

question 40

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 age and income in adults aged 20-60. A random sample of eight adults yields the following data, where x denotes age in years and y denotes annual income in thousands of dollars. $$\begin{array} { r | r r r r r r r r } \mathrm { x } & 27 & 55 & 48 & 25 & 31 & 44 & 57 & 35 \\ \hline \mathrm { y } & 18.9 & 48.3 & 27.6 & 33.2 & 19.6 & 65.0 & 55.6 & 20.1 \end{array}$$

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Definitions:

Mortality Table

A table that lists death rates according to age groups.

Mortality Table

A mortality table, or life table, is a statistical chart used in insurance to give the probability of death for people at different ages, helping in the assessment of risk.

Social Security Taxes

Taxes levied on both employers and employees to fund the Social Security program, which provides retirement, disability, and survivorship benefits.

Tax Refund

A tax refund is the return of excess taxes paid by an individual or business to the government, usually received after the annual tax return is processed.