Regresión y Correlación

Regresión y Correlación lineal Simple
-Identificar dos variables cuantitativas de la situación estudiada que puedan estar relacionadas.
VARIABLES CUANTITATIVAS RELACIONADAS : (Estatura (M) ,Peso (kg)).
- Realizar el diagrama de dispersión de dichas variables y determinar el tipo de asociación entre las variables.


- Encuentre el modelo matemático que permite predecir el efecto de unavariable sobre la otra. Es confiable?
LAS VARIABLES TIENEN UNA TENDENCIA LINEAL.
- Determine el porcentaje de explicación del modelo y el grado de relación de las dos variables.






SE REALIZA EL METODO DE LA REGRESION LINEAL SIMPLE. Q ue estudia la relación lineal entre la variable respuesta (Y ) y la variable regresora (X).

PROCEDEMOS A HALLAR LOS VALORES: (X.Y), X² & Y²
Estatura (M)
Peso(kg)
X.Y
X²
Y²
1.32
33.2
43.824
1.7424
1102.2
1.22
25.0
30.5
1.4884
625.0
1.26
26.2
33.012
1.5876
686.4
1.39
34.1
47.399
1.9321
1162.8
1.25
23.2
29
1.5625
538.2
1.43
39.5
56.485
2.0449
1560.3
1.45
47.9
69.455
2.1025
2294.4
1.34
30.2
40.468
1.7956
912.0
1.20
23.1
27.72
1.4400
533.6
1.40
36.2
50.68
1.9600
1310.4
1.26
26.4
33.264
1.5876
697.0
1.25
24.0
30
1.5625
576.0
1.42
39.4
55.948
2.0164
1552.41.27
25.6
32.512
1.6129
655.4
1.35
34.1
46.035
1.8225
1162.8
1.35
36.5
49.275
1.8225
1332.3
1.42
33.5
47.57
2.0164
1122.3
1.20
22.6
27.12
1.4400
510.8
1.41
39.2
55.272
1.9881
1536.6
1.26
25.0
31.5
1.5876
625.0
1.25
24.9
31.125
1.5625
620.0
1.40
39.2
54.88
1.9600
1536.6
1.31
30.2
39.562
1.7161
912.0
1.32
30.4
40.128
1.7424
924.2
1.32
30.6
40.392
1.7424
936.4
1.39
34.9
48.511
1.9321
1218.0
1.2423.9
29.636
1.5376
571.2
1.45
39.2
56.84
2.1025
1536.6
1.26
24.9
31.374
1.5876
620.0
1.26
25.0
31.5
1.5876
625.0
1.35
30.1
40.635
1.8225
906.0
1.27
26.3
33.401
1.6129
691.7
1.45
39.8
57.71
2.1025
1584.0
1.38
35.2
48.576
1.9044
1239.0
1.33
30.1
40.033
1.7689
906.0
1.20
22.1
26.52
1.4400
488.4
1.50
48.0
72
2.2500
2304.0
1.21
19.9
24.079
1.4641
396.0
1.22
20.2
24.644
1.4884
408.0
1.30
27.2
35.36
1.6900739.8
1.23
22.9
28.167
1.5129
524.4
1.37
35.2
48.224
1.8769
1239.0
1.45
40.1
58.145
2.1025
1608.0
1.35
32.5
43.875
1.8225
1056.3
1.20
24.1
28.92
1.4400
580.8
1.38
35.2
48.576
1.9044
1239.0
1.27
27.2
34.544
1.6129
739.8
1.26
24.9
31.374
1.5876
620.0
1.37
34.2
46.854
1.8769
1169.6
1.32
30.2
39.864
1.7424
912.0
1.37
35.1
48.087
1.8769
1232.0
1.32
31.0
40.92
1.7424
961.0
1.36
34.2
46.512
1.8496
1169.61.30
29.5
38.35
1.6900
870.3
1.38
35.0
48.3
1.9044
1225.0
1.25
26.0
32.5
1.5625
676.0
1.24
23.5
29.14
1.5376
552.3
1.24
24.5
30.38
1.5376
600.3
1.25
25.8
32.25
1.5625
665.6
1.38
37.0
51.06
1.9044
1369.0
1.27
26.3
33.401
1.6129
691.7
1.37
35.2
48.224
1.8769
1239.0
1.39
36.8
51.152
1.9321
1354.2
1.40
38.3
53.62
1.9600
1466.9
1.26
26.1
32.886
1.5876
681.2
1.35
33.6
45.36
1.8225
1129.0
1.36
32.143.656
1.8496
1030.4
1.26
27.2
34.272
1.5876
739.8
1.32
30.5
40.26
1.7424
930.3
1.33
30.1
40.033
1.7689
906.0
1.35
34.0
45.9
1.8225
1156.0
1.27
25.8
32.766
1.6129
665.6
1.45
39.5
57.275
2.1025
1560.3
1.26
26.1
32.886
1.5876
681.2
1.20
23.5
28.2
1.4400
552.3
1.30
30.1
39.13
1.6900
906.0
1.21
25.0
30.25
1.4641
625.0
1.32
30.5
40.26
1.7424
930.3
1.38
35.4
48.852
1.9044
1253.2
1.45
40.2
58.29
2.10251616.0
1.25
26.3
32.875
1.5625
691.7
1.37
35.2
48.224
1.8769
1239.0
1.40
35.2
49.28
1.9600
1239.0
1.45
39.2
56.84
2.1025
1536.6
1.35
33.9
45.765
1.8225
1149.2
1.33
30.8
40.964
1.7689
948.6
1.33
30.6
40.698
1.7689
936.4
1.42
39.7
56.374
2.0164
1576.1
1.37
35.2
48.224
1.8769
1239.0
1.31
29.6
38.776
1.7161
876.2
1.30
29.0
37.7
1.6900
841.0
1.28
28.5
36.48
1.6384
812.3
1.31
30.5
39.955
1.7161
930.3
1.3230.6
40.392
1.7424
936.4
1.32
31.2
41.184
1.7424
973.4
1.36
35.2
47.872
1.8496
1239.0
1.43
40.1
57.343
2.0449
1608.0
1.45
40.7
59.015
2.1025
1656.5
1.33
30.2
40.166
1.7689
912.0
1.33
31.2
41.496
1.7689
973.4
1.26
27.0
34.02
1.5876
729.0
1.32
31.0
40.92
1.7424
961.0
1.42
40.2
57.084
2.0164
1616.0
1.27
25.2
32.004
1.6129
635.0
1.34
32.0
42.88
1.7956
1024.0
1.40
38.2
53.48
1.9600
1459.2
1.38
37.6...