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:

Plasma Membrane

The semipermeable membrane surrounding the cytoplasm of a cell, which regulates the entry and exit of substances.

Osmosis

Diffusion of solvent (water) through a membrane from a less concentrated solution to a more concentrated solution.

Renin

Enzyme secreted by the juxtaglomerular apparatus that converts angiotensinogen to angiotensin I.

Kidney

A pair of bean-shaped organs that filter waste products from the blood and excrete them, along with water, as urine.