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

Question

Quizplus · Accepted Answer

In the first-order linear regression model, the population parameters of the y-intercept and slope are denoted by $$\beta _ { 0 }$$ and $$\beta _ { 1 }$$, respectively. However, since we have access only to a sample from the population, we estimate these parameters using sample statistics. The estimated values of the y-intercept and slope are denoted by $$b _ { 0 }$$ and $$b _ { 1 }$$, respectively. Therefore, the best choice(s) for the population parameters are $$b _ { 0 }$$ and $$b _ { 1 }$$ (Choice A).

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