In the first-order linear regression model, the population parameters of the y-intercept and the slope are:
A) $\hat { \beta } _ { 0 }$ and $\hat { \beta } _ { 1 }$ .
B) $\hat { \beta } _ { 0 }$ and $\beta _ { 1 }$ .
C) $\beta _ { 0 }$ and $\hat { \beta } _ { 1 }$ .
D) $\beta _ { 0 }$ and $\beta _ { 1 }$ .

Question

Quizplus · Accepted Answer

In the context of a first-order linear regression model, the population parameters for the y-intercept and the slope are denoted by $\beta _ { 0 }$ and $\beta _ { 1 }$, respectively. The notation with the hat symbol ($\hat { }$) is used for estimated parameters from sample data, not for the population parameters.

In the First-Order Linear Regression Model, the Population Parameters of the Y-Intercept