The multiple regression model in matrix form Y = Xβ + U can also be written as
A)Yi = β0 + X β + ui,i = 1,…,n.
B)Yi = X βi,i = 1,…,n.
C)Yi = βX + ui,i = 1,…,n.
D)Yi = X β + ui,i = 1,…,n.

Question

The multiple regression model in matrix form Y = Xβ + U can also be written as
A)Yi = β0 + X β + ui,i = 1,…,n. 
B)Yi = X βi,i = 1,…,n. 
C)Yi = βX + ui,i = 1,…,n. 
D)Yi = X β + ui,i = 1,…,n.

Quizplus · Accepted Answer

The multiple regression model in matrix form is Y = Xβ + U where Y is the dependent variable, X is the matrix of independent variables, β is the vector of coefficients, and U is the vector of errors. The model can be written as Yi = Xiβ + ui, where i = 1,...,n. Therefore, the correct choice is D.

The Multiple Regression Model in Matrix Form Y = Xβ