EJERCICIO DE COEFICIENTE DE CORRELACION

Publicado en por beidy

X Y Xi-X Yi-Y (Xi-X)(Yi-Y) (Xi-X)2 (Yi-Y)2
5 8 -2.7 2.4 -6.48 7.29 5.76
3 11 -4.7 5.4 -25.38 22.09 29.76
6 2 -1.7 -3.6 6.12 2.89 12.96
8 6 0.3 0.4 0.12 0.09 0.16
2 5 -5.7 -0.6 3.42 32.49 0.36
7 9 -0.7 3.4 -2.38 0.49 11.56
12 7 4.3 1.4 5.7 18.49 1.96
14 3 6.3 -2.6 -16.38 39.69 6.76
9 4 1.3 -1.6 -2.08 1.69 2.56
11 1 3.3 -4.6 -15.18 10.89 21.16

                                                          ∑= -52.52                              ∑=136.1                ∑=93

 

MEDIA X= 77/10= 7.7

MEDIA Y= 56/10= 5.6           

R= COV (X,Y)/rx,ry

 

 COV0 52.52/10= -5.252

rY= 93/10= √9.3= 3.04

rX= 136.1/10= √13.61= 3.68

 

 R= -5.252/3.68(3.04)= -5.252/11.18= 0.46

 

RECTA DE REGRESION CON LOS VALORES EN X 2,6,7

M=-5.252/13.61=0.38

 

B= 5.6-(-0.38)(7.7)

 

 B=8.526

I.- Y=5.6(2)+8.526= 19.726

2.- Y= 5.6(6)+8.526= 42.12

3.- Y= 5.6(7)+8.526=47.726

 

 CENTRO DE GRAVEDAD=(7.7,5.6)

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