formulas de diseño

2
X= i=1 n xi n Y= i=1 n yi n Sxy= i=1 n xi.yi( i=1 n xi )( i=1 n yi ) n Sxx= i=1 n xi 2 ( i=1 n xi ) 2 n ^ β 1 = Sxy Sxx ^ β 0 = y^ β 1 x ^ y= ^ β 0 + ^ β 1 xi Syy= i=1 n yi 2 ( i=1 n yi ) 2 n S CR = ^ β 1 Sxy R 2 = S CR Syy r= Sxy SxxSyy ^ σ = S CE n2 = Syy^ β 1 Sxy n2

Upload: cesar-soto

Post on 24-Dec-2015

217 views

Category:

Documents


0 download

DESCRIPTION

formulas básicas de regresión lineal simple

TRANSCRIPT

Page 1: Formulas de Diseño

X=∑i=1

n

xi

n

Y=∑i=1

n

yi

n

Sxy=∑i=1

n

xi . yi−(∑i=1

n

xi)(∑i=1

n

yi)n

Sxx=∑i=1

n

xi2−(∑i=1

n

xi)2

n

β1=SxySxx

β0= y− β1 x

y= β0+ β1 xi

Syy=∑i=1

n

yi2−(∑i=1

n

yi)2

n

SCR= β1Sxy

R2=SCRSyy

r= Sxy

√ Sxx Syy

σ=√ SCEn−2=√ Syy− β1Sxyn−2

mea=∑i=1

n

|ei|n