By the method of least squares, fit the regression plane y 1 2x1 3x2 to the following 12 observations of (x1, x2, y) (1, 1, 6), (0, 2, 3), (3, 0, 10), (2, 0, 4), (1, 2, 0), (0, 0, 1), (2, 1, 8), (1, 1, 2), (0, 3, 3), (2, 1, 5), (1, 1, 1), (1, 0, 2) ...

Let Then Thus we must solve simultaneously the three ...

By the method of least squares, fit the regression plane y = 1 + 2x1 + 3x2

Question:

By the method of least squares, fit the regression plane y = β1 + β2x1 + β3x2 to the following 12 observations of (x1, x2, y): (1, 1, 6), (0, 2, 3), (3, 0, 10), (–2, 0, –4), (–1, 2, 0), (0, 0, 1), (2, 1, 8), (–1, –1, –2), (0, –3, –3), (2, 1, 5), (1, 1, 1), (–1, 0, –2).