Consider a multiple linear regression model: . Which of the following statements, if any, is true?
A) is the intercept, whileare the partial slopes, or partial regression coefficients.
B) The coefficientmeasures the change in the dependent variable y for a unit change inwhen all other independent variables are held constant.
C) are independent predictor variables that are measured without error.
D) All of these.

Question

Consider a multiple linear regression model:  . Which of the following statements, if any, is true?
A) is the intercept, whileare the partial slopes, or partial regression coefficients. 
B) The coefficientmeasures the change in the dependent variable y for a unit change inwhen all other independent variables are held constant. 
C) are independent predictor variables that are measured without error. 
D) All of these.

Quizplus · Accepted Answer

A) is true because  is the intercept, while  and  are the partial slopes, or partial regression coefficients.
B) is true because the coefficient  measures the change in the dependent variable y for a unit change in  when all other independent variables are held constant.
C) is true because in a regression model, independent variables are assumed to be measured without error.

Therefore, all of the given choices are correct making option D the best choice.

Consider a Multiple Linear Regression Model