Regresion Lineal Multiple Ejercicios Resueltos A Mano __link__

[ \begincases 375 = 5b_0 + 20b_1 + 32b_2 \quad (1) \ 1550 = 20b_0 + 90b_1 + 123b_2 \quad (2) \ 2375 = 32b_0 + 123b_1 + 210b_2 \quad (3) \endcases ]

Solve the system; you’ll get same $\beta$s. regresion lineal multiple ejercicios resueltos a mano

| (X_1) | (X_2) | (Y) | |---------|---------|-------| | 2 | 3 | 10 | | 4 | 1 | 12 | | 6 | 2 | 16 | [ \begincases 375 = 5b_0 + 20b_1 +

| Edad (X1) | Género (X2) | Ingreso anual (Y) | | --- | --- | --- | | 25 | 1 | 30000 | | 30 | 0 | 40000 | | 35 | 1 | 50000 | | 20 | 0 | 20000 | | 40 | 1 | 60000 | 5 / 343.750 = 0

β1 = Σ(X1 - X̄1)(Y - Ȳ) / Σ(X1 - X̄1)^2 = 1.437,5 / 343.750 = 0,0042 β2 = Σ(X2 - X̄2)(Y - Ȳ) / Σ(X2 - X̄2)^2 = 431,25 / 6.875 = 0,0628 β0 = Ȳ - β1X̄1 - β2X̄2 = 13,75 - 0,0042(1.875) - 0,0628(137,5) = 5,21

Y = 87 + 6X1 - 5,5X2