A Professor of Economics Wants to Study the Relationship Between

question 218

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. $$\begin{array} { | l | c | c | c | c | c | c | c | c | } \hline \text { Education } & 16 & 11 & 15 & 8 & 12 & 10 & 13 & 14 \\\hline \text { Income } & 58 & 40 & 55 & 35 & 43 & 41 & 52 & 49 \\\hline\end{array}$$ Conduct a test of the population slope to determine at the 5% significance level whether a linear relationship exists between years of education and income.

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Definitions:

Accrued Interest

Interest earned or owed that has not yet been paid or received.

Discounting

The process of determining the present value of a future amount of money or stream of cash flows given a specific rate.

Present Dollar

Present Dollar refers to the value of a sum of money in terms of its purchasing power at the current period, not adjusted for inflation or deflation over time.

Equal Payments

Regularly scheduled payments of the same amount over the term of a loan or lease, combining principal and interest components.