It Is Desired to Build a Regression Model to Predict $y =$

question 45

Multiple Choice

It is desired to build a regression model to predict $y =$ 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 model is proposed:
$$\mathrm { E } ( \mathrm { y } ) = \beta _ { 0 } + \beta _ { 1 } \mathrm { x } _ { 1 } + \beta _ { 2 } \mathrm { x } _ { 2 }$$
A regression model was fit and the following residual plot was observed.

Which of the following assumptions appears violated based on this plot?

• A)The mean of the errors is zero
• B)The variance of the errors is constant
• C)The errors are normally distributed
• D)The errors are independent

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Definitions:

Fringe Benefits

Additional benefits supplementing an employee's salary, such as health insurance, pensions, and paid vacations.

Wagner Act

Also known as the National Labor Relations Act of 1935, it is a foundational statute of US labor law which guarantees basic rights of private sector employees to organize into trade unions, engage in collective bargaining, and take collective action such as strikes.

Taft-Hartley Act

A 1947 federal law that restricted the activities and power of labor unions in the United States.

Landrum-Griffin Act

A 1959 U.S. federal law formally known as the Labor-Management Reporting and Disclosure Act, which aims to protect union members' rights and promote democracy within labor organizations.