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:

Reactivity

The tendency of participants to change their behavior due to the awareness of being observed or studied.

Internal Consistency Reliability

Reliability assessed with data collected at one point in time with multiple measures of a psychological construct. A measure is reliable when the multiple measures provide similar results.

Interrater Reliability

The degree of agreement among raters or judges, ensuring consistency in the assessment or observation of a variable.

Test-retest Reliability

Test-retest reliability is a measure of the consistency of a psychological test or assessment when administered to the same individuals at two different points in time.