A Professor of Economics Wants to Study the Relationship Between

question 195

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:

Overtime

Additional hours worked beyond the standard work hours, typically compensated at higher pay rates.

Time And A Half

Compensation rate that is 1.5 times the employee's regular hourly rate, typically paid for overtime work.

Health Insurance

An insurance policy that covers the cost of medical and surgical treatments for the policyholder.

Biweekly

Occurring every two weeks; often used to describe payroll or reporting periods.