The multiple regression model in matrix form Y = X? + U can also be written as A)Y_i = ?₀ + X $\begin{array} { l } ' \ i \end{array}$ ? + u_i, i = 1,…, n. B)Y_i = X $\begin{array} { l } ' \ i \end{array}$ ?_i, i = 1,…, n. C)Y_i = ?X $\begin{array} { l } ' \ i \end{array}$ + u_i, i = 1,…, n. D)Y_i = X $\begin{array} { l } ' \ i \end{array}$ ? + u_i, i = 1,…, n.

Question

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The correct representation of the multiple regression model Y = Xβ + U in a more detailed form is D) $Y_i = X_i' \beta + u_i$, for i = 1,…, n. This notation breaks down the matrix equation into its components, where $Y_i$ is the dependent variable for observation i, $X_i'$ is the transpose of the vector of independent variables for observation i, $\beta$ is the vector of coefficients, and $u_i$ is the error term for observation i.

The Multiple Regression Model in Matrix Form Y = X ′i\begin{array} { l } ' \\i\end{array}′i​

The Multiple Regression Model in Matrix Form Y = X $\begin{array} { l } ' \\i\end{array}$