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1 Regresion Simple

# 1 Regresion Simple - Regresin Lineal Simple BlancaMorales...

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Regresión Lineal Simple Blanca Morales

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Relaci ó n Causa-Efecto Pasado Presente
Uno de los Objetivos Encontrar una ecuaci ó n que  ayude a estimar o pronosticar  a la variable dependiente (Y)  basandose en datos de esta y  de una variable independiente  (X)

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Relaci ó n Causa-Efecto Precio Índice 0.52 60.31 0.20 942.89 1.81 35.43 0.24 566.20 0.08 25.89 0.07 391.87 1.06 19.25 0.40 969.23 1.02 65.77 0.26 980.43 1.85 71.06 0.83 260.84 ¿Cu á l es la  variable que se  desea estimar?
Gr á fica de dispersi ó n Índice

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Gr á fica de dispersi ó n Índice
Ecuaci ó n

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Datos X Y ( X - Prom ) ( X - Prom ) 2 ( Y - Prom ) ( X - Prom ) * ( Y - Prom ) Precio Índice 0.52 60.31 -0.18 0.03 -305.45 53.45 0.20 942.89 -0.50 0.25 577.13 -285.68 1.81 35.43 1.12 1.24 -330.33 -368.32 0.24 566.20 -0.46 0.21 200.44 -91.20 0.08 25.89 -0.62 0.38 -339.87 209.02 0.07 391.87 -0.63 0.39 26.11 -16.32 1.06 19.25 0.37 0.13 -346.51 -126.48 0.40 969.23 -0.30 0.09 603.47 -178.02 1.02 65.77 0.33 0.11 -299.99 -97.50 0.26 980.43 -0.44 0.19 614.67 -267.38 1.85 71.06 1.16 1.33 -294.70 -340.38 0.83 260.84 0.14 0.02 -104.92 -14.16 Suma = 8.34 4389.2 4.36 -1522.96 Media = 0.70 365.76 n = 12 12
Datos X Y Ŷ Y - Ŷ Precio Índice 0.52 60.31 426.86 -366.55 0.20 942.89 538.59 404.30 1.81 35.43 -23.52 58.95 0.24 566.20 524.62 41.58 0.08 25.89 580.48 -554.59 0.07 391.87 583.97 -192.10 1.06 19.25 238.33 -219.08 0.40 969.23 468.76 500.47 1.02 65.77 252.30 -186.53 0.26 980.43 517.64 462.79 1.85 71.06 -37.49 108.55 0.83 260.84 318.63 -57.79 Suma = 8.34 4389.2 4389.2 0.00 Media = 0.70 365.76 365.76

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Prueba Global o “F” Se tienen que encontrar 3 variaciones. 0 10 20 30 40 50 60 70 80 90 100 0 1 2 3 4 5 6 7 8 9 10 1 1 0 ˆ X Y β β + = ε β β + + = 1 1 0 ˆ X Y
Prueba Global o “F” 0 10 20 30 40 50 60 70 80 90 100 0 1 2 3 4 5 6 7 8 9 10 Y Y ˆ Y

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Prueba Global o “F” 0 10 20 30 40 50 60 70 80 90 100 0 1 2 3 4 5 6 7 8 9 10 Y Y ˆ Y
Prueba Global o “F” 0 10 20 30 40 50 60 70 80 90 100 0 1 2 3 4 5 6 7 8 9 10 Y Y

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