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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