A Professor of Economics Wants to Study the Relationship Between

question 58

Essay

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. $$\begin{array} { | l | c | c | c | c | c | c | c | c | } \hline \text { Education } & 16 & 11 & 15 & 8 & 12 & 10 & 13 & 14 \\\hline \text { Income } & 58 & 40 & 55 & 35 & 43 & 41 & 52 & 49 \\\hline\end{array}$$ Calculate the Pearson correlation coefficient. What sign does it have? Why?

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Definitions:

Skeletal Muscle

A type of muscle that is connected at either or both ends to a bone and so move parts of the skeleton; it is under voluntary control.

Smooth Muscle

A type of muscle tissue which is non-striated, involuntary, and found within the walls of internal organs such as the stomach, intestines, and blood vessels.

Cardiac Muscle

Cardiac muscle is a specialized form of striated muscle found exclusively in the heart, characterized by interconnected cells that contract to pump blood throughout the body.

Contraction

The process of muscle fibers shortening and generating force, often resulting in movement of parts of the body.