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

question 22

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. The following complete 2 nd-order model is proposed: $\mathrm { E } ( \mathrm { y } ) = \beta _ { 0 } + \beta _ { 1 } \mathrm { x } _ { 1 } + \beta _ { 2 } \mathrm { x } _ { 1 } ^ { 2 } + \beta _ { 3 } \mathrm { x } _ { 2 } + \beta _ { 4 } \mathrm { x } _ { 1 } \mathrm { x } _ { 2 } + \beta _ { 5 } \mathrm { x } _ { 1 } ^ { 2 } \mathrm { x } _ { 2 }$ What hypothesis should be tested to determine if the quadratic terms are necessary to predict the sales price of a home?

• A) \(\mathrm { H } _ { 0 } : \beta _ { 1 } = \beta _ { 3 } = \beta _ { 4 } = 0\)
• B) \(\mathrm { H } _ { 0 } : \beta _ { 2 } = \beta _ { 5 } = 0\)
• C) \(\mathrm { H } _ { 0 } : \beta _ { 1 } = \beta _ { 2 } = \beta _ { 3 } = 0\)
• D) \(\mathrm { H } _ { 0 } : \beta _ { 1 } = \beta _ { 2 } = \beta _ { 3 } = \beta _ { 4 } = \beta _ { 5 } = 0\)

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Definitions:

Bricklayer

A skilled tradesperson who lays bricks to construct brickwork.

Wages

Compensation paid to employees based on the hours worked or tasks completed, typically on a regular basis such as hourly or weekly.

Right Of Action

A legal right to commence a lawsuit.

Sold

A term indicating that an item, asset, or property has been transferred from one party to another in exchange for money or other compensation.