REGRESION LINEAL

Y = a + b X

TIEMPO PBIX Y XY X ² Y ²

2004 1 4 4 1 162005 2 3 6 4 92006 3 4.5 13.5 9 20.252007 4 5 20 16 252008 5 6 30 25 36

TOTAL 15 22.5 73.5 55 106.25∑ X ∑ Y ∑ X Y ∑ X ² ∑ Y ²

N = 5 _

X = ∑ X = 15 = 3.0N 5

_Y = ∑ Y = 22.5 = 4.5

N 5

N ∑ X Y __ ∑ X ∑ Y b =

N ∑ X ² __ ( ∑ X ) ²

5 73.5 __ 15 22.5b =

5 55 __ 225

b = 367.5 __ 337.5275 __ 225

b = 3050

b = 0.6

_ _a = Y __ b X

a = 4.5 __ 0.6 3.0

a = 2.7

PROYECCIONES Y = a + b X2009 2.7 + 0.6 6 = 6.3

2010 2.7 + 0.6 7 = 6.9

2011 2.7 + 0.6 8 = 7.5

2012 2.7 + 0.6 9 = 8.1

2013 2.7 + 0.6 10 = 8.7