sequential selection methods 1 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL1 Dependent Variable: y Number of Observations Read 13 Number of Observations Used 13 Forward Selection: Step 1 Statistics for Entry DF = 1,11 Model Variable Tolerance R-Square F Value Pr > F x1 1.000000 0.5339 12.60 0.0046 x2 1.000000 0.6663 21.96 0.0007 x3 1.000000 0.2859 4.40 0.0598 x4 1.000000 0.6745 22.80 0.0006 Variable x4 Entered: R-Square = 0.6745 and C(p) = 138.7308 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 1 1831.89616 1831.89616 22.80 0.0006 Error 11 883.86692 80.35154 Corrected Total 12 2715.76308 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 117.56793 5.26221 40108 499.16 <.0001 x4 -0.73816 0.15460 1831.89616 22.80 0.0006 Bounds on condition number: 1, 1 ------------------------------------------------------------------------ Forward Selection: Step 2 sequential selection methods 2 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL1 Dependent Variable: y Forward Selection: Step 2 Statistics for Entry DF = 1,10 Model Variable Tolerance R-Square F Value Pr > F x1 0.939757 0.9725 108.22 <.0001 x2 0.053359 0.6801 0.17 0.6867 x3 0.999128 0.9353 40.29 <.0001 Variable x1 Entered: R-Square = 0.9725 and C(p) = 5.4959 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 2641.00096 1320.50048 176.63 <.0001 Error 10 74.76211 7.47621 Corrected Total 12 2715.76308 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 103.09738 2.12398 17615 2356.10 <.0001 x1 1.43996 0.13842 809.10480 108.22 <.0001 x4 -0.61395 0.04864 1190.92464 159.30 <.0001 Bounds on condition number: 1.0641, 4.2564 ------------------------------------------------------------------------ Forward Selection: Step 3 Statistics for Entry DF = 1,9 Model Variable Tolerance R-Square F Value Pr > F x2 0.053247 0.9823 5.03 0.0517 x3 0.289051 0.9813 4.24 0.0697 sequential selection methods 3 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL1 Dependent Variable: y Forward Selection: Step 3 Variable x2 Entered: R-Square = 0.9823 and C(p) = 3.0182 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 3 2667.79035 889.26345 166.83 <.0001 Error 9 47.97273 5.33030 Corrected Total 12 2715.76308 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 71.64831 14.14239 136.81003 25.67 0.0007 x1 1.45194 0.11700 820.90740 154.01 <.0001 x2 0.41611 0.18561 26.78938 5.03 0.0517 x4 -0.23654 0.17329 9.93175 1.86 0.2054 Bounds on condition number: 18.94, 116.36 ------------------------------------------------------------------------ Forward Selection: Step 4 Statistics for Entry DF = 1,8 Model Variable Tolerance R-Square F Value Pr > F x3 0.021336 0.9824 0.02 0.8959 No other variable met the 0.1000 significance level for entry into the model. Summary of Forward Selection Variable Number Partial Model Step Entered Vars In R-Square R-Square C(p) F Value Pr > F 1 x4 1 0.6745 0.6745 138.731 22.80 0.0006 2 x1 2 0.2979 0.9725 5.4959 108.22 <.0001 3 x2 3 0.0099 0.9823 3.0182 5.03 0.0517 sequential selection methods 4 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL2 Dependent Variable: y Number of Observations Read 13 Number of Observations Used 13 Backward Elimination: Step 0 All Variables Entered: R-Square = 0.9824 and C(p) = 5.0000 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 4 2667.89944 666.97486 111.48 <.0001 Error 8 47.86364 5.98295 Corrected Total 12 2715.76308 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 62.40537 70.07096 4.74552 0.79 0.3991 x1 1.55110 0.74477 25.95091 4.34 0.0708 x2 0.51017 0.72379 2.97248 0.50 0.5009 x3 0.10191 0.75471 0.10909 0.02 0.8959 x4 -0.14406 0.70905 0.24697 0.04 0.8441 Bounds on condition number: 282.51, 2489.2 ------------------------------------------------------------------------ Backward Elimination: Step 1 Statistics for Removal DF = 1,8 Partial Model Variable R-Square R-Square F Value Pr > F x1 0.0096 0.9728 4.34 0.0708 x2 0.0011 0.9813 0.50 0.5009 x3 0.0000 0.9823 0.02 0.8959 x4 0.0001 0.9823 0.04 0.8441 Variable x3 Removed: R-Square = 0.9823 and C(p) = 3.0182 sequential selection methods 5 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL2 Dependent Variable: y Backward Elimination: Step 1 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 3 2667.79035 889.26345 166.83 <.0001 Error 9 47.97273 5.33030 Corrected Total 12 2715.76308 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 71.64831 14.14239 136.81003 25.67 0.0007 x1 1.45194 0.11700 820.90740 154.01 <.0001 x2 0.41611 0.18561 26.78938 5.03 0.0517 x4 -0.23654 0.17329 9.93175 1.86 0.2054 Bounds on condition number: 18.94, 116.36 ------------------------------------------------------------------------ Backward Elimination: Step 2 Statistics for Removal DF = 1,9 Partial Model Variable R-Square R-Square F Value Pr > F x1 0.3023 0.6801 154.01 <.0001 x2 0.0099 0.9725 5.03 0.0517 x4 0.0037 0.9787 1.86 0.2054 Variable x4 Removed: R-Square = 0.9787 and C(p) = 2.6782 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 2657.85859 1328.92930 229.50 <.0001 Error 10 57.90448 5.79045 Corrected Total 12 2715.76308 sequential selection methods 6 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL2 Dependent Variable: y Backward Elimination: Step 2 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 52.57735 2.28617 3062.60416 528.91 <.0001 x1 1.46831 0.12130 848.43186 146.52 <.0001 x2 0.66225 0.04585 1207.78227 208.58 <.0001 Bounds on condition number: 1.0551, 4.2205 ------------------------------------------------------------------------ Backward Elimination: Step 3 Statistics for Removal DF = 1,10 Partial Model Variable R-Square R-Square F Value Pr > F x1 0.3124 0.6663 146.52 <.0001 x2 0.4447 0.5339 208.58 <.0001 All variables left in the model are significant at the 0.1000 level. Summary of Backward Elimination Variable Number Partial Model Step Removed Vars In R-Square R-Square C(p) F Value Pr > F 1 x3 3 0.0000 0.9823 3.0182 0.02 0.8959 2 x4 2 0.0037 0.9787 2.6782 1.86 0.2054 sequential selection methods 7 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL3 Dependent Variable: y Number of Observations Read 13 Number of Observations Used 13 Stepwise Selection: Step 1 Statistics for Entry DF = 1,11 Model Variable Tolerance R-Square F Value Pr > F x1 1.000000 0.5339 12.60 0.0046 x2 1.000000 0.6663 21.96 0.0007 x3 1.000000 0.2859 4.40 0.0598 x4 1.000000 0.6745 22.80 0.0006 Variable x4 Entered: R-Square = 0.6745 and C(p) = 138.7308 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 1 1831.89616 1831.89616 22.80 0.0006 Error 11 883.86692 80.35154 Corrected Total 12 2715.76308 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 117.56793 5.26221 40108 499.16 <.0001 x4 -0.73816 0.15460 1831.89616 22.80 0.0006 Bounds on condition number: 1, 1 ------------------------------------------------------------------------ Stepwise Selection: Step 2 sequential selection methods 8 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL3 Dependent Variable: y Stepwise Selection: Step 2 Statistics for Entry DF = 1,10 Model Variable Tolerance R-Square F Value Pr > F x1 0.939757 0.9725 108.22 <.0001 x2 0.053359 0.6801 0.17 0.6867 x3 0.999128 0.9353 40.29 <.0001 Variable x1 Entered: R-Square = 0.9725 and C(p) = 5.4959 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 2641.00096 1320.50048 176.63 <.0001 Error 10 74.76211 7.47621 Corrected Total 12 2715.76308 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 103.09738 2.12398 17615 2356.10 <.0001 x1 1.43996 0.13842 809.10480 108.22 <.0001 x4 -0.61395 0.04864 1190.92464 159.30 <.0001 Bounds on condition number: 1.0641, 4.2564 ------------------------------------------------------------------------ Stepwise Selection: Step 3 Statistics for Removal DF = 1,10 Partial Model Variable R-Square R-Square F Value Pr > F x1 0.2979 0.6745 108.22 <.0001 x4 0.4385 0.5339 159.30 <.0001 sequential selection methods 9 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL3 Dependent Variable: y Stepwise Selection: Step 3 Statistics for Entry DF = 1,9 Model Variable Tolerance R-Square F Value Pr > F x2 0.053247 0.9823 5.03 0.0517 x3 0.289051 0.9813 4.24 0.0697 Variable x2 Entered: R-Square = 0.9823 and C(p) = 3.0182 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 3 2667.79035 889.26345 166.83 <.0001 Error 9 47.97273 5.33030 Corrected Total 12 2715.76308 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 71.64831 14.14239 136.81003 25.67 0.0007 x1 1.45194 0.11700 820.90740 154.01 <.0001 x2 0.41611 0.18561 26.78938 5.03 0.0517 x4 -0.23654 0.17329 9.93175 1.86 0.2054 Bounds on condition number: 18.94, 116.36 ------------------------------------------------------------------------ Stepwise Selection: Step 4 Statistics for Removal DF = 1,9 Partial Model Variable R-Square R-Square F Value Pr > F x1 0.3023 0.6801 154.01 <.0001 x2 0.0099 0.9725 5.03 0.0517 x4 0.0037 0.9787 1.86 0.2054 sequential selection methods 10 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL3 Dependent Variable: y Stepwise Selection: Step 4 Statistics for Entry DF = 1,8 Model Variable Tolerance R-Square F Value Pr > F x3 0.021336 0.9824 0.02 0.8959 Variable x4 Removed: R-Square = 0.9787 and C(p) = 2.6782 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 2657.85859 1328.92930 229.50 <.0001 Error 10 57.90448 5.79045 Corrected Total 12 2715.76308 Parameter Standard Variable Estimate Error Type II SS F Value Pr > F Intercept 52.57735 2.28617 3062.60416 528.91 <.0001 x1 1.46831 0.12130 848.43186 146.52 <.0001 x2 0.66225 0.04585 1207.78227 208.58 <.0001 Bounds on condition number: 1.0551, 4.2205 ------------------------------------------------------------------------ Stepwise Selection: Step 5 Statistics for Removal DF = 1,10 Partial Model Variable R-Square R-Square F Value Pr > F x1 0.3124 0.6663 146.52 <.0001 x2 0.4447 0.5339 208.58 <.0001 sequential selection methods 11 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL3 Dependent Variable: y Stepwise Selection: Step 5 Statistics for Entry DF = 1,9 Model Variable Tolerance R-Square F Value Pr > F x3 0.318256 0.9823 1.83 0.2089 x4 0.052798 0.9823 1.86 0.2054 All variables left in the model are significant at the 0.1000 level. No other variable met the 0.1000 significance level for entry into the model. Summary of Stepwise Selection Variable Variable Number Partial Model Step Entered Removed Vars In R-Square R-Square C(p) F Value 1 x4 1 0.6745 0.6745 138.731 22.80 2 x1 2 0.2979 0.9725 5.4959 108.22 3 x2 3 0.0099 0.9823 3.0182 5.03 4 x4 2 0.0037 0.9787 2.6782 1.86 Summary of Stepwise Selection Step Pr > F 1 0.0006 2 <.0001 3 0.0517 4 0.2054 regressions for forward selection 12 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL1 Dependent Variable: y Number of Observations Read 13 Number of Observations Used 13 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 1 1450.07633 1450.07633 12.60 0.0046 Error 11 1265.68675 115.06243 Corrected Total 12 2715.76308 Root MSE 10.72672 R-Square 0.5339 Dependent Mean 95.42308 Adj R-Sq 0.4916 Coeff Var 11.24122 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Type I SS Intercept 1 81.47934 4.92734 16.54 <.0001 118372 x1 1 1.86875 0.52641 3.55 0.0046 1450.07633 Parameter Estimates Variable DF Type II SS Intercept 1 31463 x1 1 1450.07633 regressions for forward selection 13 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL2 Dependent Variable: y Number of Observations Read 13 Number of Observations Used 13 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 1 1809.42673 1809.42673 21.96 0.0007 Error 11 906.33634 82.39421 Corrected Total 12 2715.76308 Root MSE 9.07713 R-Square 0.6663 Dependent Mean 95.42308 Adj R-Sq 0.6359 Coeff Var 9.51251 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Type I SS Intercept 1 57.42368 8.49058 6.76 <.0001 118372 x2 1 0.78912 0.16839 4.69 0.0007 1809.42673 Parameter Estimates Variable DF Type II SS Intercept 1 3768.80440 x2 1 1809.42673 regressions for forward selection 14 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL3 Dependent Variable: y Number of Observations Read 13 Number of Observations Used 13 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 1 776.36261 776.36261 4.40 0.0598 Error 11 1939.40047 176.30913 Corrected Total 12 2715.76308 Root MSE 13.27814 R-Square 0.2859 Dependent Mean 95.42308 Adj R-Sq 0.2210 Coeff Var 13.91502 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Type I SS Intercept 1 110.20266 7.94785 13.87 <.0001 118372 x3 1 -1.25578 0.59844 -2.10 0.0598 776.36261 Parameter Estimates Variable DF Type II SS Intercept 1 33897 x3 1 776.36261 regressions for forward selection 15 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL4 Dependent Variable: y Number of Observations Read 13 Number of Observations Used 13 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 1 1831.89616 1831.89616 22.80 0.0006 Error 11 883.86692 80.35154 Corrected Total 12 2715.76308 Root MSE 8.96390 R-Square 0.6745 Dependent Mean 95.42308 Adj R-Sq 0.6450 Coeff Var 9.39385 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Type I SS Intercept 1 117.56793 5.26221 22.34 <.0001 118372 x4 1 -0.73816 0.15460 -4.77 0.0006 1831.89616 Parameter Estimates Variable DF Type II SS Intercept 1 40108 x4 1 1831.89616 regressions for forward selection 16 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL5 Dependent Variable: y Number of Observations Read 13 Number of Observations Used 13 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 2641.00096 1320.50048 176.63 <.0001 Error 10 74.76211 7.47621 Corrected Total 12 2715.76308 Root MSE 2.73427 R-Square 0.9725 Dependent Mean 95.42308 Adj R-Sq 0.9670 Coeff Var 2.86541 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Type I SS Intercept 1 103.09738 2.12398 48.54 <.0001 118372 x4 1 -0.61395 0.04864 -12.62 <.0001 1831.89616 x1 1 1.43996 0.13842 10.40 <.0001 809.10480 Parameter Estimates Variable DF Type II SS Intercept 1 17615 x4 1 1190.92464 x1 1 809.10480 regressions for forward selection 17 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL6 Dependent Variable: y Number of Observations Read 13 Number of Observations Used 13 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 1846.88295 923.44147 10.63 0.0034 Error 10 868.88013 86.88801 Corrected Total 12 2715.76308 Root MSE 9.32137 R-Square 0.6801 Dependent Mean 95.42308 Adj R-Sq 0.6161 Coeff Var 9.76847 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Type I SS Intercept 1 94.16007 56.62713 1.66 0.1273 118372 x4 1 -0.45694 0.69595 -0.66 0.5263 1831.89616 x2 1 0.31090 0.74861 0.42 0.6867 14.98679 Parameter Estimates Variable DF Type II SS Intercept 1 240.23945 x4 1 37.45621 x2 1 14.98679 regressions for forward selection 18 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL7 Dependent Variable: y Number of Observations Read 13 Number of Observations Used 13 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 2540.02507 1270.01254 72.27 <.0001 Error 10 175.73800 17.57380 Corrected Total 12 2715.76308 Root MSE 4.19211 R-Square 0.9353 Dependent Mean 95.42308 Adj R-Sq 0.9223 Coeff Var 4.39318 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Type I SS Intercept 1 131.28241 3.27477 40.09 <.0001 118372 x4 1 -0.72460 0.07233 -10.02 <.0001 1831.89616 x3 1 -1.19985 0.18902 -6.35 <.0001 708.12891 Parameter Estimates Variable DF Type II SS Intercept 1 28243 x4 1 1763.66246 x3 1 708.12891 regressions for forward selection 19 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL8 Dependent Variable: y Number of Observations Read 13 Number of Observations Used 13 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 3 2667.79035 889.26345 166.83 <.0001 Error 9 47.97273 5.33030 Corrected Total 12 2715.76308 Root MSE 2.30874 R-Square 0.9823 Dependent Mean 95.42308 Adj R-Sq 0.9764 Coeff Var 2.41948 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Type I SS Intercept 1 71.64831 14.14239 5.07 0.0007 118372 x4 1 -0.23654 0.17329 -1.37 0.2054 1831.89616 x1 1 1.45194 0.11700 12.41 <.0001 809.10480 x2 1 0.41611 0.18561 2.24 0.0517 26.78938 Parameter Estimates Variable DF Type II SS Intercept 1 136.81003 x4 1 9.93175 x1 1 820.90740 x2 1 26.78938 regressions for forward selection 20 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL9 Dependent Variable: y Number of Observations Read 13 Number of Observations Used 13 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 3 2664.92696 888.30899 157.27 <.0001 Error 9 50.83612 5.64846 Corrected Total 12 2715.76308 Root MSE 2.37665 R-Square 0.9813 Dependent Mean 95.42308 Adj R-Sq 0.9750 Coeff Var 2.49064 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Type I SS Intercept 1 111.68441 4.56248 24.48 <.0001 118372 x4 1 -0.64280 0.04454 -14.43 <.0001 1831.89616 x1 1 1.05185 0.22368 4.70 0.0011 809.10480 x3 1 -0.41004 0.19923 -2.06 0.0697 23.92599 Parameter Estimates Variable DF Type II SS Intercept 1 3384.63923 x4 1 1176.23594 x1 1 124.90189 x3 1 23.92599 regressions for forward selection 21 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL10 Dependent Variable: y Number of Observations Read 13 Number of Observations Used 13 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 4 2667.89944 666.97486 111.48 <.0001 Error 8 47.86364 5.98295 Corrected Total 12 2715.76308 Root MSE 2.44601 R-Square 0.9824 Dependent Mean 95.42308 Adj R-Sq 0.9736 Coeff Var 2.56333 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Type I SS Intercept 1 62.40537 70.07096 0.89 0.3991 118372 x4 1 -0.14406 0.70905 -0.20 0.8441 1831.89616 x1 1 1.55110 0.74477 2.08 0.0708 809.10480 x2 1 0.51017 0.72379 0.70 0.5009 26.78938 x3 1 0.10191 0.75471 0.14 0.8959 0.10909 Parameter Estimates Variable DF Type II SS Intercept 1 4.74552 x4 1 0.24697 x1 1 25.95091 x2 1 2.97248 x3 1 0.10909 regressions for backward selection 22 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL1 Dependent Variable: y Number of Observations Read 13 Number of Observations Used 13 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 4 2667.89944 666.97486 111.48 <.0001 Error 8 47.86364 5.98295 Corrected Total 12 2715.76308 Root MSE 2.44601 R-Square 0.9824 Dependent Mean 95.42308 Adj R-Sq 0.9736 Coeff Var 2.56333 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Type I SS Intercept 1 62.40537 70.07096 0.89 0.3991 118372 x1 1 1.55110 0.74477 2.08 0.0708 1450.07633 x2 1 0.51017 0.72379 0.70 0.5009 1207.78227 x3 1 0.10191 0.75471 0.14 0.8959 9.79387 x4 1 -0.14406 0.70905 -0.20 0.8441 0.24697 Parameter Estimates Variable DF Type II SS Intercept 1 4.74552 x1 1 25.95091 x2 1 2.97248 x3 1 0.10909 x4 1 0.24697 regressions for backward selection 23 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL2 Dependent Variable: y Number of Observations Read 13 Number of Observations Used 13 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 3 2667.79035 889.26345 166.83 <.0001 Error 9 47.97273 5.33030 Corrected Total 12 2715.76308 Root MSE 2.30874 R-Square 0.9823 Dependent Mean 95.42308 Adj R-Sq 0.9764 Coeff Var 2.41948 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Type I SS Intercept 1 71.64831 14.14239 5.07 0.0007 118372 x1 1 1.45194 0.11700 12.41 <.0001 1450.07633 x2 1 0.41611 0.18561 2.24 0.0517 1207.78227 x4 1 -0.23654 0.17329 -1.37 0.2054 9.93175 Parameter Estimates Variable DF Type II SS Intercept 1 136.81003 x1 1 820.90740 x2 1 26.78938 x4 1 9.93175 regressions for backward selection 24 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL3 Dependent Variable: y Number of Observations Read 13 Number of Observations Used 13 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 2657.85859 1328.92930 229.50 <.0001 Error 10 57.90448 5.79045 Corrected Total 12 2715.76308 Root MSE 2.40634 R-Square 0.9787 Dependent Mean 95.42308 Adj R-Sq 0.9744 Coeff Var 2.52175 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Type I SS Intercept 1 52.57735 2.28617 23.00 <.0001 118372 x1 1 1.46831 0.12130 12.10 <.0001 1450.07633 x2 1 0.66225 0.04585 14.44 <.0001 1207.78227 Parameter Estimates Variable DF Type II SS Intercept 1 3062.60416 x1 1 848.43186 x2 1 1207.78227 regressions for stepwise selection 25 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL1 Dependent Variable: y Number of Observations Read 13 Number of Observations Used 13 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 2641.00096 1320.50048 176.63 <.0001 Error 10 74.76211 7.47621 Corrected Total 12 2715.76308 Root MSE 2.73427 R-Square 0.9725 Dependent Mean 95.42308 Adj R-Sq 0.9670 Coeff Var 2.86541 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Type I SS Intercept 1 103.09738 2.12398 48.54 <.0001 118372 x1 1 1.43996 0.13842 10.40 <.0001 1450.07633 x4 1 -0.61395 0.04864 -12.62 <.0001 1190.92464 Parameter Estimates Variable DF Type II SS Intercept 1 17615 x1 1 809.10480 x4 1 1190.92464 regressions for stepwise selection 26 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL2 Dependent Variable: y Number of Observations Read 13 Number of Observations Used 13 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 3 2664.92696 888.30899 157.27 <.0001 Error 9 50.83612 5.64846 Corrected Total 12 2715.76308 Root MSE 2.37665 R-Square 0.9813 Dependent Mean 95.42308 Adj R-Sq 0.9750 Coeff Var 2.49064 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Type I SS Intercept 1 111.68441 4.56248 24.48 <.0001 118372 x1 1 1.05185 0.22368 4.70 0.0011 1450.07633 x4 1 -0.64280 0.04454 -14.43 <.0001 1190.92464 x3 1 -0.41004 0.19923 -2.06 0.0697 23.92599 Parameter Estimates Variable DF Type II SS Intercept 1 3384.63923 x1 1 124.90189 x4 1 1176.23594 x3 1 23.92599 regressions for stepwise selection 27 15:36 Sunday, March 3, 2013 The REG Procedure Model: MODEL3 Dependent Variable: y Number of Observations Read 13 Number of Observations Used 13 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 3 2667.65246 889.21749 166.34 <.0001 Error 9 48.11061 5.34562 Corrected Total 12 2715.76308 Root MSE 2.31206 R-Square 0.9823 Dependent Mean 95.42308 Adj R-Sq 0.9764 Coeff Var 2.42296 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Type I SS Intercept 1 48.19363 3.91330 12.32 <.0001 118372 x1 1 1.69589 0.20458 8.29 <.0001 1450.07633 x2 1 0.65691 0.04423 14.85 <.0001 1207.78227 x3 1 0.25002 0.18471 1.35 0.2089 9.79387 Parameter Estimates Variable DF Type II SS Intercept 1 810.75653 x1 1 367.33211 x2 1 1178.96145 x3 1 9.79387