A Professor of Economics Wants to Study the Relationship Between

question 174

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. $$\begin{array} { | l | c | c | c | c | c | c | c | c | } \hline \text { Education } & 16 & 11 & 15 & 8 & 12 & 10 & 13 & 14 \\\hline \text { Income } & 58 & 40 & 55 & 35 & 43 & 41 & 52 & 49 \\\hline\end{array}$$ Predict with 95% confidence the income of an individual with 10 years of education.

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Definitions:

Peg-word System

A mnemonic device that associates numbers with items that rhyme with or resemble the numbers to aid in memory.

Visual Encoding

The process by which visual sensory information is encoded for memory and later retrieval.

Automatic Processing

A cognitive process that requires little effort or conscious attention, typically allowing the mind to perform tasks without actively thinking about them.

Effortful Processing

The voluntary and conscious encoding of information that requires attention and effort.