Let x=1/n(x_1+⋯+x_n) and y=1/n(y_1…

Let x=1/n(x_1+⋯+x_n) and y=1/n(y_1+⋯+y_n) . Show that the least-squares line for the data (x_1, y_1), …,(x_n, y_n) must pass through (x, y) . That is, show that x and y satisfy the linear equation y=β̂_0+β̂_1 x .[Hint: Derive this equation from the vector equation 𝐲=X β̂+ϵ . Denote the first column of X by 1 . Use the fact that the residual vector ϵis orthogonal to the column space of X and hence is orthogonal to 1 . ]

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Видео Let x=1/n(x_1+⋯+x_n) and y=1/n(y_1… канала Kevin Brooker