Regresion Lineal Multiple Ejercicios Resueltos A Mano !free!

Primero, se calculan las medias de las variables:

From (1): (5b_0 = 375 - 20b_1 - 32b_2 \Rightarrow b_0 = 75 - 4b_1 - 6.4b_2)

b2=(SSx1)(SPx2y)−(SPx1x2)(SPx1y)(SSx1)(SSx2)−(SPx1x2)2b sub 2 equals the fraction with numerator open paren cap S cap S sub x sub 1 close paren open paren cap S cap P sub x sub 2 y end-sub close paren minus open paren cap S cap P sub x sub 1 x sub 2 end-sub close paren open paren cap S cap P sub x sub 1 y end-sub close paren and denominator open paren cap S cap S sub x sub 1 close paren open paren cap S cap S sub x sub 2 close paren minus open paren cap S cap P sub x sub 1 x sub 2 end-sub close paren squared end-fraction 4. Calcular el intercepto ( Una vez obtenidos regresion lineal multiple ejercicios resueltos a mano

Donde:

Σ(1) = 5 Elemento (1,2) y (2,1): ΣX₁ = 4+5+3+6+4 = 22 Elemento (1,3) y (3,1): ΣX₂ = 6+7+5+8+6 = 32 Elemento (2,2): ΣX₁² = 16+25+9+36+16 = 102 Elemento (2,3) y (3,2): Σ(X₁ X₂) = (4 6)+(5 7)+(3 5)+(6 8)+(4*6) = 24+35+15+48+24 = 146 Elemento (3,3): ΣX₂² = 36+49+25+64+36 = 210 Primero, se calculan las medias de las variables:

C₁₁ = +det([102,161; 161,255]) = 89 C₁₂ = -det([22,161; 35,255]) = - (22 255 - 161 35) = -(-25) = 25 C₁₃ = +det([22,102; 35,161]) = -28 C₂₁ = -det([22,35; 161,255]) = - (22 255 - 35 161) = - (5610 - 5635) = -(-25) = 25 C₂₂ = +det([5,35; 35,255]) = (5 255 - 35 35) = 1275 - 1225 = 50 C₂₃ = -det([5,22; 35,161]) = - (5 161 - 22 35) = - (805 - 770) = -35 C₃₁ = +det([22,35; 102,161]) = (22 161 - 35 102) = 3542 - 3570 = -28 C₃₂ = -det([5,35; 22,161]) = - (5 161 - 35 22) = - (805 - 770) = -35 C₃₃ = +det([5,22; 22,102]) = (5 102 - 22 22) = 510 - 484 = 26

| Empresa | Y (ventas) | X₁ (publicidad) | X₂ (vendedores) | |---------|------------|-----------------|-----------------| | 1 | 23 | 4 | 5 | | 2 | 26 | 5 | 6 | | 3 | 30 | 6 | 7 | | 4 | 34 | 7 | 8 | | 5 | 36 | 8 | 9 | 2) y (2

det = 5*(89) - 22*(-25) + 35*(-28) = 445 + 550 - 980 = 15