It Is Desired to Build a Regression Model to Predict $\mathrm { y } =$

question 27

Multiple Choice

It is desired to build a regression model to predict $\mathrm { y } =$ the sales price of a single family home, based on the $x _ { 1 } =$ size of the house and $x _ { 2 } =$ the neighborhood the home is located in. The goal is to compare the prices of homes that are located in two different neighborhoods. A complete 2nd-order model is proposed. Which regression model proposes the complete 2nd-order model?

• A) \(\mathrm { E } ( \mathrm { y } ) = \beta _ { 0 } + \beta _ { 1 } \mathrm { x } _ { 1 } + \beta _ { 2 } \mathrm { x } _ { 1 } ^ { 2 } + \beta _ { 3 } \mathrm { x } _ { 2 } + \beta _ { 4 } \mathrm { x } ^ { 2 }\)
• B) \(\mathrm { E } ( \mathrm { y } ) = \beta _ { 0 } + \beta _ { 1 } \mathrm { x } _ { 1 } + \beta _ { 2 } \mathrm { x } _ { 1 } ^ { 2 } + \beta _ { 3 } \mathrm { x } _ { 2 } + \beta _ { 4 } \mathrm { x } _ { 1 } \mathrm { x } _ { 2 } + \beta _ { 3 } \mathrm { x } _ { 1 } ^ { 2 } \mathrm { x } _ { 2 }\)
• C) \(\mathrm { E } ( \mathrm { y } ) = \beta _ { 0 } + \beta _ { 1 \mathrm { x } _ { 1 } } + \beta _ { 2 } \mathrm { x } _ { 2 }\)
• D) \(E ( y ) = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 } + \beta _ { 3 } x _ { 1 } x _ { 2 }\)

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Definitions:

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Unconditioned Stimulus

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