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Transcript of TCM3
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Regresin y Correlacin lineal Simple:
Identificar dos variables cuantitativas de la situacin estudiada que
puedan estar relacionadas.
Realizar el diagrama de dispersin de dichas variables y determinar
el tipo de asociacin entre las variables.
Encontrar el modelo matemtico que permite predecir el efecto de
una variable sobre la otra. Es confiable!
"eterminar el porcenta#e de e$plicacin del modelo y el grado de
relacin de las dos variables.
Relacionar la informacin obtenida con el problema.
Relacionamos las variables de peso y estatura de los alumnos de las
instituciones.
peso%$& estatura%y& '() '* )*++,- /,+- 0+,1- //-,-0 /,20
-3, /,-- +,3 4-3, /,05
-4,- /,-4 ++,/ 414,00 /,35
+0,/ /,+5 02,0 //4-,1/ /,5+
-+,- /,-3 -5, 3+1,-0 /,34
+5,3 /,0+ 34,05 /34,-3 -,0
02,5 /,03 45,04 --50,0/ -,/+,- /,+0 0,02 5/-,0 /,1
-+,/ /,- -2,2- 3++,4/ /,00
+4,- /,0 3,41 /+/,00 /,54
-4,0 /,-4 ++,-4 454,54 /,35
-0, /,-3 +, 324, /,34
+5,0 /,0- 33,53 /33-,+4 -,-
-3,4 /,-2 +-,3/ 433,+4 /,4/
+0,/ /,+3 04,0 //4-,1/ /,1-
+4,3 /,+3 05,-1 /++-,-3 /,1-
++,3 /,0- 02,32 //--,-3 -,-
--,4 /,- -2,/- 3/,24 /,00
+5,- /,0/ 33,-2 /3+4,40 /,55
-3, /,-4 +/,3 4-3, /,35
-0,5 /,-3 +/,/+ 4-,/ /,34
+5,- /,0 30,11 /3+4,40 /,54
+,- /,+/ +5,34 5/-,0 /,2-
+,0 /,+- 0,/+ 5-0,/4 /,20
+,4 /,+- 0,+5 5+4,+4 /,20
+0,5 /,+5 01,3/ /-/1,/ /,5+
-+,5 /,-0 -5,40 32/,-/ /,30+5,- /,03 34,10 /3+4,40 -,/
-0,5 /,-4 +/,+2 4-,/ /,35
-3, /,-4 +/,3 4-3, /,35
+,/ /,+3 0,40 54,/ /,1-
-4,+ /,-2 ++,0 45/,45 /,4/
+5,1 /,03 32,2/ /310,0 -,/
+3,- /,+1 01,31 /-+5,0 /,5
+,/ /,++ 0,+ 54,/ /,22
--,/ /,- -4,3- 011,0/ /,00
01, /,3 2-, -+0, -,-3
/5,5 /,-/ -0,1 +54,/ /,04
-,- /,-- -0,40 01,0 /,05
-2,- /,+ +3,+4 2+5,10 /,45
--,5 /,-+ -1,/2 3-0,0/ /,3/
+3,- /,+2 01,-- /-+5,0 /,11
0,/ /,03 31,/3 /41,/ -,/
+-,3 /,+3 0+,11 /34,-3 /,1-
-0,/ /,- -1,5- 31,1/ /,00
+3,- /,+1 01,31 /-+5,0 /,5
-2,- /,-2 +0,30 2+5,10 /,4/-0,5 /,-4 +/,+2 4-,/ /,35
+0,- /,+2 04,13 //45,40 /,11
+,- /,+- +5,14 5/-,0 /,20
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+3,/ /,+2 01,5 /-+-,/ /,11
+/, /,+- 0,5- 54/, /,20
+0,- /,+4 04,3/ //45,40 /,13
-5,3 /,+ +1,+3 12,-3 /,45
+3, /,+1 01,+ /--3, /,5
-4, /,-3 +-,3 424, /,34
-+,3 /,-0 -5,/0 33-,-3 /,30
-0,3 /,-0 +,+1 4,-3 /,30
-3,1 /,-3 +-,-3 443,40 /,34
+2, /,+1 3/,4 /+45, /,5
-4,+ /,-2 ++,0 45/,45 /,4/+3,- /,+2 01,-- /-+5,0 /,11
+4,1 /,+5 3/,/3 /+30,-0 /,5+
+1,+ /,0 3+,4- /044,15 /,54
-4,/ /,-4 +-,15 41/,-/ /,35
++,4 /,+3 03,+4 //-1,54 /,1-
+-,/ /,+4 0+,44 /+,0/ /,13
-2,- /,-4 +0,-2 2+5,10 /,35
+,3 /,+- 0,-4 5+,-3 /,20
+,/ /,++ 0,+ 54,/ /,22
+0, /,+3 03,5 //34, /,1-
-3,1 /,-2 +-,22 443,40 /,4/
+5,3 /,03 32,-1 /34,-3 -,/
-4,/ /,-4 +-,15 41/,-/ /,35
-+,3 /,- -1,- 33-,-3 /,00
+,/ /,+ +5,/+ 54,/ /,45
-3, /,-/ +,-3 4-3, /,04
+,3 /,+- 0,-4 5+,-3 /,20
+3,0 /,+1 01,13 /-3+,/4 /,5
0,- /,03 31,-5 /4/4,0 -,/
-4,+ /,-3 +-,11 45/,45 /,34+3,- /,+2 01,-- /-+5,0 /,11
+3,- /,0 05,-1 /-+5,0 /,54
+5,- /,03 34,10 /3+4,40 -,/
++,5 /,+3 03,22 //05,-/ /,1-
+,1 /,++ 0,54 501,40 /,22
+,4 /,++ 0,2 5+4,+4 /,22
+5,2 /,0- 34,+2 /324,5 -,-
+3,- /,+2 01,-- /-+5,0 /,11
-5,4 /,+/ +1,21 124,/4 /,2-
-5, /,+ +2,2 10/, /,45
-1,3 /,-1 +4,01 1/-,-3 /,40
+,3 /,+/ +5,54 5+,-3 /,2-
+,4 /,+- 0,+5 5+4,+4 /,20
+/,- /,+- 0/,/1 52+,00 /,20
+3,- /,+4 02,12 /-+5,0 /,13
0,/ /,0+ 32,+0 /41,/ -,0
0,2 /,03 35,- /434,05 -,/
+,- /,++ 0,/2 5/-,0 /,22
+/,- /,++ 0/,3 52+,00 /,22
-2, /,-4 +0,- 2-5, /,35+/, /,+- 0,5- 54/, /,20
0,- /,0- 32,1 /4/4,0 -,-
-3,- /,-2 +-, 4+3,0 /,4/
+-, /,+0 0-,11 /-0, /,1
+1,- /,0 3+,01 /035,-0 /,54
+2,4 /,+1 3/,15 /0/+,24 /,5
+,- /,+/ +5,34 5/-,0 /,2-
+5,3 /,0- 34,5 /34,-3 -,-
-3,0 /,-4 +-, 403,/4 /,35
+03,4 /04,0 04-4,-- //-3+,-1 /50,04
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10.00 20.00 30.00 40.00 50.000.00
0.50
1.00
1.50
2.00
f(x) = 0.01x + 0.96
R = 0.93
edad vs estaura
edad vs estaura
Linear (edad vs estaura )
peso
estatura
"esarrollo de las formulas:
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b= 0,0118
a= 0,9574
Y= a + bx Y=0,0118x + 0,9574
6uscamos el coeficiente de relacin:
Error estandar estimado7formula
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8allamos el coeficiente de "eterminacin
8allamos primero la varianza de la variable separable
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9hora si el de correlacin
C;C
