REGLINEALPBI
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REGRESION LINEAL Y = a + b X TIEMPO PBI X Y XY X ² Y ² 2004 1 4 4 1 16 2005 2 3 6 4 9 2006 3 4.5 13.5 9 20.25 2007 4 5 20 16 25 2008 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 = 3.0 N 5 _ Y = Y ∑ = 22.5 = 4.5 N 5 N X Y ∑ __ X ∑ Y ∑ b = N X ² ∑ __ ( X ) ² ∑ 5 73.5 __ 15 22.5 b = 5 55 __ 225 b = 367.5 __ 337.5 275 __ 225 b = 30 50 b = 0.6 _ _ a = Y __ b X a = 4.5 __ 0.6 3.0 a = 2.7 PROYECCIONES Y = a + b X 2009 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
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Transcript of REGLINEALPBI
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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