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regression_examples - Pre-Spring Break Example The REG...

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Pre-Spring Break Example 00:12 Wednesday, March 14, 2012 1 The REG Procedure Model: MODEL1 Dependent Variable: y Number of Observations Read 5 Number of Observations Used 5 Analysis of Variance Source DF Sum of Squares Mean Square F Value Pr > F Model 1 72.81337 72.81337 27.35 0.0136 Error 3 7.98663 2.66221 Corrected Total 4 80.80000 Root MSE 1.63163 R-Square 0.9012 Dependent Mean 10.80000 Adj R-Sq 0.8682 Coeff Var 15.10767 Parameter Estimates Variable DF Parameter Estimate Standard Error t Value Pr > |t| Intercept 1 2.11765 1.81345 1.17 0.3273 x 1 0.98663 0.18866 5.23 0.0136
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Pre-Spring Break Example 00:12 Wednesday, March 14, 2012 2 The REG Procedure Model: MODEL1 Dependent Variable: y Output Statistics Obs Dependent Variable Predicted Value Std Error Mean Predict 95% CL Mean 95% CL Predict Residual Std Error Residual Student Residual 1 5.0000 6.0642 1.1630 2.3631 9.7652 -0.3124 12.4407 -1.0642 1.144 -0.930 2 9.0000 7.0508 1.0229 3.7954 10.3062 0.9221 13.1795 1.9492 1.271 1.533 3 10.0000 10.9973 0.7307 8.6720 13.3226 5.3079 16.6868 -0.9973 1.459 -0.684 4 13.0000 13.9572 0.9470 10.9433 16.9711 7.9533 19.9611 -0.9572 1.329 -0.720 5 17.0000 15.9305 1.2226 12.0395 19.8214 9.4419 22.4191 1.0695 1.080 0.990 Output Statistics Obs -2-1 0 1 2 Cook's D 1 | *| | 0.446 2 | |*** | 0.761 3 | *| | 0.059 4 | *| | 0.132 5 | |* | 0.627 Sum of Residuals 0 Sum of Squared Residuals 7.98663 Predicted Residual SS (PRESS) 24.58110
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Pre-Spring Break Example 00:12 Wednesday, March 14, 2012 3 The REG Procedure Model: MODEL1 Fit Diagnostics for y 0.8682 Adj R-Square 0.9012 R-Square 2.6622 MSE 3 Error DF 2 Parameters 5 Observations Proportion Less 0.2 0.8 Residual 0.2 0.8 Fit–Mean -4 -2 0 2 4 -4 -3 -2 -1 0 1 2 3 4 Residual 0 10 20 30 40 50 60 Percent 1 2 3 4 5 Observation 0.0 0.2 0.4 0.6 0.8 Cook's D 5.0 7.5 10.0 12.5 15.0 17.5 Predicted Value 5.0 7.5 10.0 12.5 15.0 17.5 y -1.0 -0.5 0.0 0.5 1.0 Quantile -1 0 1 2 Residual 0.2 0.3 0.4 0.5 0.6 0.7 0.8 Leverage -2 -1 0 1 2 RStudent 6 8 10 12 14 16 Predicted Value -2 -1 0 1 2 RStudent 6 8 10 12 14 16 Predicted Value -1 0 1 2 Residual
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Pre-Spring Break Example 00:12 Wednesday, March 14, 2012 4 The REG Procedure Model: MODEL1 5.0 7.5 10.0 12.5 x -1 0 1 2 Residual Residuals for y
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Pre-Spring Break Example 00:12 Wednesday, March 14, 2012 5 The REG Procedure Model: MODEL1 5.0 7.5 10.0 12.5 x 0 5 10 15 20 y 95% Prediction Limits 95% Confidence Limits Fit 0.8682 Adj R-Square 0.9012 R-Square 2.6622 MSE 3 Error DF 2 Parameters 5 Observations Fit Plot for y
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Car Deaths 00:12 Wednesday, March 14, 2012 6 The REG Procedure Model: MODEL1
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