A Study of the Top MBA Programs Attempted to Predict $y =$

question 41

Multiple Choice

A study of the top MBA programs attempted to predict $y =$ the average starting salary (in $\$ 1000$ 's) of graduates of the program based on $x =$ the amount of tuition (in $\$ 1000$ 's) charged by the program. After first considering a simple linear model, it was decided that a quadratic model should be proposed. Which of the following models proposes a 2nd-order quadratic relationship between $x$ and $y$ ?

• A) \(E ( y ) = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 } + \beta _ { 3 } x _ { 1 } x _ { 2 }\)
• B) \(E ( y ) = \beta _ { 0 } + \beta _ { 1 } { } ^ { x } 1\)
• C) \(E ( y ) = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 1 } ^ { 2 }\)
• D) \(E ( y ) = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 1 } ^ { 2 } + \beta _ { 3 } x _ { 1 } ^ { 3 }\)

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Definitions:

Elasticity of Supply

A measure of how the quantity supplied of a good responds to a change in the price of that good, defined as the percentage change in quantity supplied divided by the percentage change in price.

Total Revenue

The total income generated from the sale of goods or services before any expenses are subtracted.

Elasticity of Supply

A measure of how much the quantity supplied of a good responds to a change in the price of that good.

Income Elasticity

A measure of how much the demand for a product changes with a change in consumers' income.