YADIRA FERNANDEZ ROMERO.

Codigo: 46.387.540

1. Determinar la relacin entre dos variables cuantitativas del problema de estudio:En el anlisis de los estudios surge muy frecuentemente la necesidad de determinar la relacin entre dos variables cuantitativas en determinado grupo. Los objetivos de dicho anlisis suelen ser:

a. Determinar si las dos variables estn correlacionadas, es decir si los valores de una variable tienden a ser ms altos o ms bajos para valores ms altos o ms bajos de la otra variable.

b. Poder predecir el valor de una variable dado un valor determinado de la otra variable.

c. Valorar el nivel de concordancia entre los valores de las dos variables.

Para el desarrollo de este punto trabajare con las variables cuantitativas de Peso y Estatura. PESO XESTATURA YX * YX^2Y^2

12,50,658,125156,250,4225

601,74104,436003,0276

72,51,58114,555256,252,4964

581,5992,2233642,5281

16,5116,5272,251

57,61,6595,043317,762,7225

78,61,7133,626177,962,89

5,20,733,79627,040,5329

53,81,6287,1562894,442,6244

45,81,5370,0742097,642,3409

60,21,6599,333624,042,7225

19,71,1823,246388,091,3924

62,71,69105,9633931,292,8561

78,61,58124,1886177,962,4964

52,71,5380,6312777,292,3409

8,90,857,56579,210,7225

701,64114,849002,6896

80,91,75141,5756544,813,0625

78,91,6126,246225,212,56

15,91,0316,377252,811,0609

561,5586,831362,4025

52,91,5883,5822798,412,4964

78,51,78139,736162,253,1684

85,81,66142,4287361,642,7556

65,21,7110,844251,042,89

601,79107,436003,2041

67,21,72115,5844515,842,9584

851,68142,872252,8224

24,51,0325,235600,251,0609

65,41,63106,6024277,162,6569

60,61,73104,8383672,362,9929

851,68142,872252,8224

57,31,5890,5343283,292,4964

67,91,65112,0354610,412,7225

2,60,451,176,760,2025

75,31,78134,0345670,093,1684

45,21,567,82043,042,25

50,21,6482,3282520,042,6896

231,1626,685291,3456

451,5268,420252,3104

65,71,58103,8064316,492,4964

16,70,9816,366278,890,9604

60,51,6599,8253660,252,7225

57,81,5991,9023340,842,5281

60,31,6197,0833636,092,5921

78,51,79140,5156162,253,2041

15,30,9614,688234,090,9216

65,21,67108,8844251,042,7889

65,61,7111,524303,362,89

78,41,68131,7126146,562,8224

57,91,6293,7983352,412,6244

3,40,531,80211,560,2809

58,31,5992,6973398,892,5281

56,81,5688,6083226,242,4336

601,659936002,7225

721,68120,9651842,8224

58,61,5691,4163433,962,4336

14,20,9613,632201,640,9216

65,71,67109,7194316,492,7889

60,81,6197,8883696,642,5921

3,10,571,7679,610,3249

851,815372253,24

60,81,5694,8483696,642,4336

55,91,6290,5583124,812,6244

701,67116,949002,7889

73,81,8132,845446,443,24

78,51,75137,3756162,253,0625

67,21,65110,884515,842,7225

67,21,72115,5844515,842,9584

58,81,5993,4923457,442,5281

62,31,63101,5493881,292,6569

70,21,65115,834928,042,7225

54,91,5283,4483014,012,3104

78,11,72134,3326099,612,9584

62,91,63102,5273956,412,6569

651,86120,942253,4596

62,91,63102,5273956,412,6569

72,91,75127,5755314,413,0625

61,61,5796,7123794,562,4649

9,70,767,37294,090,5776

64,31,78114,4544134,493,1684

58,91,6295,4183469,212,6244

18,31,0619,398334,891,1236

56,91,6895,5923237,612,8224

3,10,571,7679,610,3249

45,81,5169,1582097,642,2801

68,91,76121,2644747,213,0976

11,90,8610,234141,610,7396

65,91,62106,7584342,812,6244

781,71133,3860842,9241

16,91,118,59285,611,21

85,81,86159,5887361,643,4596

67,21,71114,9124515,842,9241

63,21,59100,4883994,242,5281

9,40,827,70888,360,6724

72,91,76128,3045314,413,0976

3,90,471,83315,210,2209

63,81,62103,3564070,442,6244

30,51,442,7930,251,96

52,61,5179,4262766,762,2801

85,91,81155,4797378,813,2761

67,91,66112,7144610,412,7556

58,21,693,123387,242,56

551,6389,6530252,6569

60,51,5895,593660,252,4964

87,51,67146,1257656,252,7889

55,21,7294,9443047,042,9584

701,65115,549002,7225

45,91,5671,6042106,812,4336

541,6388,0229162,6569

60,81,67101,5363696,642,7889

65,81,64107,9124329,642,6896

70,81,61113,9885012,642,5921

78,61,68132,0486177,962,8224

87,21,8156,967603,843,24

79,51,72136,746320,252,9584

72,91,75127,5755314,413,0625

67,51,67112,7254556,252,7889

58,21,5590,213387,242,4025

64,31,72110,5964134,492,9584

671818211000437809288

1. Hallare las medidas Aritmticas.

2. Calculamos la covarianza.

3. Calculamos las desviaciones tpicas.

4. Aplicamos la frmula del coeficiente de correlacin lineal.

Al ser coeficiente de correlacin positivo, la correlacin es directa.

Como coeficiente de correlacin est muy prximo a 1 la correlacin es muy fuerte.