Now compute the adjugate matrix (matrix of cofactors transposed). For brevity, I'll provide the final inverse (calculated carefully):
We estimate the $\beta$ coefficients using the : regresion lineal multiple ejercicios resueltos a mano
A^-1 = (1/15) * [89 25 -28 25 50 -35 -28 -35 26] Now compute the adjugate matrix (matrix of cofactors
So: $$ X'Y = \beginbmatrix 425 \ 2255 \ 1355 \endbmatrix $$ regresion lineal multiple ejercicios resueltos a mano
Y_i = β_0 + β_1 X_1i + β_2 X_2i + ... + β_k X_ki + ε_i