The following is a multiple regression model. What do the regression coefficients b1 and b2 represent?
Y_i = b₀ + b₁X_1i + b₂X_2i+e_i

Question

The following is a multiple regression model. What do the regression coefficients b1 and b2 represent? Y_i = b₀ + b₁X_1i + b₂X_2i+e_i

Quizplus · Accepted Answer

Regression coefficients b₁ and b₂ in a linear regression model represent slopes of the independent variables under study. Key Takeaway: Multiple regression analysis is used to study the effect of two or more independent variables on the dependent variable. In the linear regression model, b₁ and b₂ are calculated slopes of the independent variables. For example, if a marketing researchers is studying income and level of education as independent variables, their slopes in the analysis would be represented as b₁ and b₂.

The Following Is a Multiple Regression Model