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%Nitroglicerina eficiencia de la voladura (%)(y) 6.4 85.08 7 85.3 8.2 87.33 8.3 87.57 8.4 87.59 8.6 88.71 9.5 88.81 9.8 90.01 9.9 90.19 11 90.64 13.6 91.04 14.5 92.15 14.8 92.75 15 93.32 15.1 93.52 15.2 94.03 15.4 94.31 16.4 96.79 16.7 96.9 17.4 97.24 19.5 97.21 19.8 97.44 21.2 97.52 21.3 97.65 21.7 97.67 22.8 97.69 23.3 97.85 23.4 98.07 24.4 98.59 25.6 99.31 5 75 80 85 90 95 100 105 f(x) = 0 R² = 0.9 f(x) = 8 R² = 0.9 f(x) = 1 R² = 0.9 f(x) = − R² = 0.9 f(x) = 6 R² = 0.9 ef

Regresion y Corelacion 1

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Page 1: Regresion y Corelacion 1

%Nitroglicerina eficiencia de la voladura (%)(y)6.4 85.08

7 85.38.2 87.338.3 87.578.4 87.598.6 88.719.5 88.819.8 90.019.9 90.1911 90.64

13.6 91.0414.5 92.1514.8 92.75

15 93.3215.1 93.5215.2 94.0315.4 94.3116.4 96.7916.7 96.917.4 97.2419.5 97.2119.8 97.4421.2 97.5221.3 97.6521.7 97.6722.8 97.6923.3 97.8523.4 98.0724.4 98.5925.6 99.31

5 10 15 20 25 3075

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85

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105

f(x) = 0.727967764692527 x + 82.1452454543243R² = 0.92507005244666f(x) = 82.632238292558 exp( 0.00785200505670537 x )R² = 0.919622093861984f(x) = 10.5048359360336 ln(x) + 65.4439361636632R² = 0.962617644331232f(x) = − 0.0301711004330309 x² + 1.67540997897292 x + 75.701048617611R² = 0.965274413715238f(x) = 68.9451902100737 x^0.113662004982664R² = 0.962950196663981

eficiencia de la voladura (%)(y)

Page 2: Regresion y Corelacion 1

polinomica se acerca a 1

100.345

0.96182119

5 10 15 20 25 3075

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85

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f(x) = 0.727967764692527 x + 82.1452454543243R² = 0.92507005244666f(x) = 82.632238292558 exp( 0.00785200505670537 x )R² = 0.919622093861984f(x) = 10.5048359360336 ln(x) + 65.4439361636632R² = 0.962617644331232f(x) = − 0.0301711004330309 x² + 1.67540997897292 x + 75.701048617611R² = 0.965274413715238f(x) = 68.9451902100737 x^0.113662004982664R² = 0.962950196663981

eficiencia de la voladura (%)(y)

Page 3: Regresion y Corelacion 1

Resumen

Estadísticas de la regresiónCoeficiente de correlac 0.96180562Coeficiente de determ 0.92507005R^2 ajustado 0.92239398Error típico 1.2298139Observaciones 30

ANÁLISIS DE VARIANZAGrados de libertadSuma de cuadradosPromedio de los cuadrados F Valor crítico de F

Regresión 1 522.824604 522.824604417169 345.682365 2.72526E-17Residuos 28 42.3483822 1.51244222319636Total 29 565.172987

Coeficientes Error típico Estadístico t Probabilidad Inferior 95% Superior 95%Intercepción 82.1452455 0.64610832 127.138504933765 3.19717E-40 80.8217526 83.4687383%Nitroglicerina (X) 0.72796776 0.03915377 18.5925351916413 2.72526E-17 0.64776491 0.80817062

p= 2.7253 * (10^-17)R^2=0.9251R=0.96 existe perfecta correlacion positiva de la variable independiente hacia la variable dependiente

como p ≤ 0.01 entonces se dice que la variable x (% nitroglicerina) influye de forma altamente

Page 4: Regresion y Corelacion 1

Inferior 95.0%Superior 95.0%80.8217526 83.46873830.64776491 0.80817062

existe perfecta correlacion positiva de la variable independiente hacia la variable dependiente

≤ 0.01 entonces se dice que la variable x (% nitroglicerina) influye de forma altamente

Page 5: Regresion y Corelacion 1

%Nitroglicerina eficiencia de la voladura (%)(y)6.4 85.08

7 85.38.2 87.338.3 87.578.4 87.598.6 88.719.5 88.819.8 90.019.9 90.1911 90.64

13.6 91.0414.5 92.1514.8 92.75

15 93.3215.1 93.5215.2 94.0315.4 94.3116.4 96.7916.7 96.917.4 97.2419.5 97.2119.8 97.4421.2 97.5221.3 97.6521.7 97.6722.8 97.6923.3 97.8523.4 98.0724.4 98.5925.6 99.31