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AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 1
Obs Year s b g i ls lb lg li dls dlb dlg dli
1 1970 483.39 7.35 35.96 38.8 6.181 1.995 3.582 3.658 . . . . 2 1971 573.33 6.16 40.80 40.5 6.351 1.818 3.709 3.701 0.171 -0.177 0.126 0.043 3 1972 637.52 6.21 58.17 41.8 6.458 1.826 4.063 3.733 0.106 0.008 0.355 0.032 4 1973 607.11 6.84 97.12 44.4 6.409 1.923 4.576 3.793 -0.049 0.097 0.513 0.060 5 1974 463.54 7.56 158.76 49.3 6.139 2.023 5.067 3.898 -0.270 0.100 0.491 0.105 6 1975 483.55 7.99 160.87 53.8 6.181 2.078 5.081 3.985 0.042 0.055 0.013 0.087 7 1976 575.85 7.61 124.80 56.9 6.356 2.029 4.827 4.041 0.175 -0.049 -0.254 0.056 8 1977 567.66 7.42 147.84 60.6 6.342 2.004 4.996 4.104 -0.014 -0.025 0.169 0.063 9 1978 567.81 8.41 193.57 65.2 6.342 2.129 5.266 4.177 0.000 0.125 0.270 0.073 10 1979 616.68 9.44 307.01 72.6 6.424 2.245 5.727 4.285 0.083 0.116 0.461 0.108 11 1980 720.15 11.46 614.75 82.4 6.579 2.439 6.421 4.412 0.155 0.194 0.694 0.127 12 1981 782.62 13.91 459.16 90.9 6.663 2.633 6.129 4.510 0.083 0.194 -0.292 0.098 13 1982 728.84 13.00 376.11 96.5 6.591 2.565 5.930 4.570 -0.071 -0.068 -0.200 0.060 14 1983 979.52 11.10 423.71 99.6 6.887 2.407 6.049 4.601 0.296 -0.158 0.119 0.032 15 1984 977.33 12.44 360.66 103.9 6.885 2.521 5.888 4.643 -0.002 0.114 -0.161 0.042 16 1985 1142.97 10.62 317.43 107.6 7.041 2.363 5.760 4.678 0.157 -0.158 -0.128 0.035 17 1986 1438.02 7.68 368.20 109.6 7.271 2.039 5.909 4.697 0.230 -0.324 0.148 0.018 18 1987 1709.79 8.39 446.84 113.6 7.444 2.127 6.102 4.733 0.173 0.088 0.194 0.036 19 1988 1585.14 8.85 436.78 118.3 7.368 2.180 6.079 4.773 -0.076 0.053 -0.023 0.041 20 1989 1903.36 8.49 381.27 124.0 7.551 2.139 5.944 4.820 0.183 -0.042 -0.136 0.047 21 1990 1939.47 8.55 383.73 130.7 7.570 2.146 5.950 4.873 0.019 0.007 0.006 0.053 22 1991 2181.72 7.86 362.34 136.2 7.688 2.062 5.893 4.914 0.118 -0.084 -0.057 0.041 23 1992 2421.51 7.01 343.87 140.3 7.792 1.947 5.840 4.944 0.104 -0.114 -0.052 0.030 24 1993 2638.96 5.87 360.05 144.5 7.878 1.770 5.886 4.973 0.086 -0.177 0.046 0.029 25 1994 2687.02 7.09 384.16 148.2 7.896 1.959 5.951 4.999 0.018 0.189 0.065 0.025 26 1995 3078.56 6.57 384.07 152.4 8.032 1.883 5.951 5.027 0.136 -0.076 -0.000 0.028 27 1996 3787.20 6.44 387.74 156.9 8.239 1.863 5.960 5.056 0.207 -0.020 0.010 0.029 28 1997 4827.35 6.35 331.00 160.5 8.482 1.848 5.802 5.078 0.243 -0.014 -0.158 0.023 29 1998 5818.26 5.26 294.12 163.0 8.669 1.660 5.684 5.094 0.187 -0.188 -0.118 0.015 30 1999 6546.81 5.65 278.86 166.6 8.787 1.732 5.631 5.116 0.118 0.072 -0.053 0.022 31 2000 6805.89 6.03 279.29 172.2 8.826 1.797 5.632 5.149 0.039 0.065 0.002 0.033 32 2001 6397.85 5.02 271.19 177.1 8.764 1.613 5.603 5.177 -0.062 -0.183 -0.029 0.028 33 2002 5578.89 4.61 310.08 179.9 8.627 1.528 5.737 5.192 -0.137 -0.085 0.134 0.016 34 2003 5447.46 4.01 363.83 184.0 8.603 1.389 5.897 5.215 -0.024 -0.139 0.160 0.023 35 2004 6612.62 4.27 409.53 188.9 8.797 1.452 6.015 5.241 0.194 0.063 0.118 0.026 36 2005 7349.00 4.29 444.99 195.3 8.902 1.456 6.098 5.275 0.106 0.005 0.083 0.033 37 2006 8357.99 4.80 604.34 201.6 9.031 1.569 6.404 5.306 0.129 0.112 0.306 0.032 38 2007 9648.82 4.63 696.43 207.3 9.175 1.533 6.546 5.334 0.144 -0.036 0.142 0.028 39 2008 8036.88 3.66 872.37 215.3 8.992 1.297 6.771 5.372 -0.183 -0.235 0.225 0.038 40 2009 6091.02 3.26 973.66 214.5 8.715 1.182 6.881 5.368 -0.277 -0.116 0.110 -0.004 41 2010 7230.43 3.22 1226.67 218.1 8.886 1.169 7.112 5.385 0.171 -0.012 0.231 0.017
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 2
Obs Year s b g i ls lb lg li dls dlb dlg dli
42 2011 7871.41 2.78 1573.16 224.9 8.971 1.022 7.361 5.416 0.085 -0.147 0.249 0.031 43 2012 8011.65 1.80 1668.86 229.6 8.989 0.588 7.420 5.436 0.018 -0.435 0.059 0.021 44 2013 10400.33 2.35 1409.51 233.0 9.250 0.854 7.251 5.451 0.261 0.267 -0.169 0.015 45 2014 10839.24 2.54 1266.06 236.7 9.291 0.932 7.144 5.467 0.041 0.078 -0.107 0.016 46 2015 10143.42 2.14 1159.82 237.0 9.225 0.761 7.056 5.468 -0.066 -0.171 -0.088 0.001 47 2016 11056.89 1.84 1249.84 240.0 9.311 0.610 7.131 5.481 0.086 -0.151 0.075 0.013
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 3
The MEANS Procedure
Variable Label N Mean Std Dev Minimum MaximumƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒYear Year 47 1993.00 13.7113092 1970.00 2016.00s 47 4028.74 3452.70 463.5400000 11056.89b 47 6.5708511 2.9664631 1.8000000 13.9100000g 47 506.3697872 412.0205050 35.9600000 1668.86i 47 140.9574468 63.2118548 38.8000000 240.0000000ls 47 7.8052996 1.0985448 6.1388927 9.3108090lb 47 1.7681682 0.5110746 0.5877867 2.6326080lg 47 5.9087575 0.8649722 3.5824072 7.4198960li 47 4.8216839 0.5478773 3.6584202 5.4806389match 47 1.0000000 0 1.0000000 1.0000000mli 47 4.8216839 0 4.8216839 4.8216839nli 47 -1.00097E-16 0.0547877 -0.1163264 0.0658955dls 46 0.0680432 0.1293614 -0.2772254 0.2956084dlb 46 -0.0301073 0.1437289 -0.4346643 0.2666287dlg 46 0.0771383 0.2087660 -0.2918169 0.6943354dli 46 0.0396134 0.0280054 -0.0037227 0.1266205ecs 46 2.9652123 0.5979166 2.0219112 3.8404239ecb 46 -3.0140080 0.9327461 -4.8485520 -1.6637199ecg 46 1.0748332 0.4850731 -0.0760130 2.0096302ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 4
The CORR Procedure
4 Variables: ls lb lg li
Simple Statistics Variable N Mean Std Dev Sum Minimum Maximum
ls 47 7.80530 1.09854 366.84908 6.13889 9.31081lb 47 1.76817 0.51107 83.10390 0.58779 2.63261lg 47 5.90876 0.86497 277.71160 3.58241 7.41990li 47 4.82168 0.54788 226.61914 3.65842 5.48064
Pearson Correlation Coefficients, N = 47 Prob > |r| under H0: Rho=0 ls lb lg li
ls 1.00000 -0.78724 0.72293 0.94815 <.0001 <.0001 <.0001
lb -0.78724 1.00000 -0.54862 -0.64837 <.0001 <.0001 <.0001
lg 0.72293 -0.54862 1.00000 0.85580 <.0001 <.0001 <.0001
li 0.94815 -0.64837 0.85580 1.00000 <.0001 <.0001 <.0001
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 5
The CORR Procedure
4 Variables: dls dlb dlg dli
Simple Statistics Variable N Mean Std Dev Sum Minimum Maximum
dls 46 0.06804 0.12936 3.12999 -0.27723 0.29561dlb 46 -0.03011 0.14373 -1.38493 -0.43466 0.26663dlg 46 0.07714 0.20877 3.54836 -0.29182 0.69434dli 46 0.03961 0.02801 1.82222 -0.00372 0.12662
Pearson Correlation Coefficients, N = 46 Prob > |r| under H0: Rho=0 dls dlb dlg dli
dls 1.00000 0.05023 -0.19501 -0.10473 0.7403 0.1940 0.4885
dlb 0.05023 1.00000 0.14363 0.46146 0.7403 0.3409 0.0012
dlg -0.19501 0.14363 1.00000 0.38995 0.1940 0.3409 0.0074
dli -0.10473 0.46146 0.38995 1.00000 0.4885 0.0012 0.0074
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 6
The REG ProcedureModel: MODEL1Dependent Variable: ls
Number of Observations Read 47Number of Observations Used 47
Analysis of Variance Sum of MeanSource DF Squares Square F Value Pr > F
Model 1 49.90520 49.90520 400.48 <.0001Error 45 5.60763 0.12461 Corrected Total 46 55.51283
Root MSE 0.35301 R-Square 0.8990Dependent Mean 7.80530 Adj R-Sq 0.8967Coeff Var 4.52266
Parameter Estimates Parameter StandardVariable DF Estimate Error t Value Pr > |t|
Intercept 1 -1.36132 0.46094 -2.95 0.0050li 1 1.90112 0.09500 20.01 <.0001
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 7
The REG ProcedureModel: MODEL1
Test 1 Results for Dependent Variable ls MeanSource DF Square F Value Pr > F
Numerator 1 11.21229 89.98 <.0001Denominator 45 0.12461
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 8
The REG ProcedureModel: MODEL2Dependent Variable: lb
Number of Observations Read 47Number of Observations Used 47
Analysis of Variance Sum of MeanSource DF Squares Square F Value Pr > F
Model 1 5.05095 5.05095 32.64 <.0001Error 45 6.96412 0.15476 Corrected Total 46 12.01507
Root MSE 0.39339 R-Square 0.4204Dependent Mean 1.76817 Adj R-Sq 0.4075Coeff Var 22.24863
Parameter Estimates Parameter StandardVariable DF Estimate Error t Value Pr > |t|
Intercept 1 4.68441 0.51368 9.12 <.0001li 1 -0.60482 0.10587 -5.71 <.0001
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 9
The REG ProcedureModel: MODEL2
Test 2 Results for Dependent Variable lb MeanSource DF Square F Value Pr > F
Numerator 1 35.56116 229.79 <.0001Denominator 45 0.15476
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 10
The REG ProcedureModel: MODEL3Dependent Variable: lg
Number of Observations Read 47Number of Observations Used 47
Analysis of Variance Sum of MeanSource DF Squares Square F Value Pr > F
Model 1 25.20608 25.20608 123.16 <.0001Error 45 9.21005 0.20467 Corrected Total 46 34.41613
Root MSE 0.45240 R-Square 0.7324Dependent Mean 5.90876 Adj R-Sq 0.7264Coeff Var 7.65647
Parameter Estimates Parameter StandardVariable DF Estimate Error t Value Pr > |t|
Intercept 1 -0.60586 0.59073 -1.03 0.3106li 1 1.35111 0.12175 11.10 <.0001
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 11
The REG ProcedureModel: MODEL3
Test 3 Results for Dependent Variable lg MeanSource DF Square F Value Pr > F
Numerator 1 1.70219 8.32 0.0060Denominator 45 0.20467
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 12
The REG ProcedureModel: MODEL1Dependent Variable: ls
Number of Observations Read 47Number of Observations Used 47
Analysis of Variance Sum of MeanSource DF Squares Square F Value Pr > F
Model 1 49.90520 49.90520 400.48 <.0001Error 45 5.60763 0.12461 Corrected Total 46 55.51283
Root MSE 0.35301 R-Square 0.8990Dependent Mean 7.80530 Adj R-Sq 0.8967Coeff Var 4.52266
Parameter Estimates Parameter StandardVariable DF Estimate Error t Value Pr > |t|
Intercept 1 7.80530 0.05149 151.58 <.0001nli 1 19.01125 0.94999 20.01 <.0001
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 13
The REG ProcedureModel: MODEL2Dependent Variable: lb
Number of Observations Read 47Number of Observations Used 47
Analysis of Variance Sum of MeanSource DF Squares Square F Value Pr > F
Model 1 5.05095 5.05095 32.64 <.0001Error 45 6.96412 0.15476 Corrected Total 46 12.01507
Root MSE 0.39339 R-Square 0.4204Dependent Mean 1.76817 Adj R-Sq 0.4075Coeff Var 22.24863
Parameter Estimates Parameter StandardVariable DF Estimate Error t Value Pr > |t|
Intercept 1 1.76817 0.05738 30.81 <.0001nli 1 -6.04818 1.05868 -5.71 <.0001
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 14
The REG ProcedureModel: MODEL3Dependent Variable: lg
Number of Observations Read 47Number of Observations Used 47
Analysis of Variance Sum of MeanSource DF Squares Square F Value Pr > F
Model 1 25.20608 25.20608 123.16 <.0001Error 45 9.21005 0.20467 Corrected Total 46 34.41613
Root MSE 0.45240 R-Square 0.7324Dependent Mean 5.90876 Adj R-Sq 0.7264Coeff Var 7.65647
Parameter Estimates Parameter StandardVariable DF Estimate Error t Value Pr > |t|
Intercept 1 5.90876 0.06599 89.54 <.0001nli 1 13.51109 1.21748 11.10 <.0001
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 15
The REG ProcedureModel: MODEL1Dependent Variable: dls
Number of Observations Read 47Number of Observations Used 46Number of Observations with Missing Values 1
Analysis of Variance Sum of MeanSource DF Squares Square F Value Pr > F
Model 1 0.00826 0.00826 0.49 0.4885Error 44 0.74479 0.01693 Corrected Total 45 0.75305
Root MSE 0.13010 R-Square 0.0110Dependent Mean 0.06804 Adj R-Sq -0.0115Coeff Var 191.20757
Parameter Estimates Parameter StandardVariable DF Estimate Error t Value Pr > |t|
Intercept 1 0.08721 0.03348 2.61 0.0125dli 1 -0.48378 0.69253 -0.70 0.4885
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 16
The REG ProcedureModel: MODEL1
Test 1 Results for Dependent Variable dls MeanSource DF Square F Value Pr > F
Numerator 2 0.05744 3.39 0.0426Denominator 44 0.01693
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 17
The REG ProcedureModel: MODEL2Dependent Variable: dlb
Number of Observations Read 47Number of Observations Used 46Number of Observations with Missing Values 1
Analysis of Variance Sum of MeanSource DF Squares Square F Value Pr > F
Model 1 0.19796 0.19796 11.90 0.0012Error 44 0.73165 0.01663 Corrected Total 45 0.92961
Root MSE 0.12895 R-Square 0.2129Dependent Mean -0.03011 Adj R-Sq 0.1951Coeff Var -428.30647
Parameter Estimates Parameter StandardVariable DF Estimate Error t Value Pr > |t|
Intercept 1 -0.12392 0.03318 -3.74 0.0005dli 1 2.36830 0.68640 3.45 0.0012
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 18
The REG ProcedureModel: MODEL2
Test 2 Results for Dependent Variable dlb MeanSource DF Square F Value Pr > F
Numerator 2 0.14484 8.71 0.0007Denominator 44 0.01663
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 19
The REG ProcedureModel: MODEL3Dependent Variable: dlg
Number of Observations Read 47Number of Observations Used 46Number of Observations with Missing Values 1
Analysis of Variance Sum of MeanSource DF Squares Square F Value Pr > F
Model 1 0.29822 0.29822 7.89 0.0074Error 44 1.66302 0.03780 Corrected Total 45 1.96125
Root MSE 0.19441 R-Square 0.1521Dependent Mean 0.07714 Adj R-Sq 0.1328Coeff Var 252.03004
Parameter Estimates Parameter StandardVariable DF Estimate Error t Value Pr > |t|
Intercept 1 -0.03801 0.05002 -0.76 0.4514dli 1 2.90685 1.03484 2.81 0.0074
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 20
The REG ProcedureModel: MODEL3
Test 3 Results for Dependent Variable dlg MeanSource DF Square F Value Pr > F
Numerator 2 0.09655 2.55 0.0892Denominator 44 0.03780
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 21
The REG ProcedureModel: MODEL1Dependent Variable: dls
Number of Observations Read 47Number of Observations Used 46Number of Observations with Missing Values 1
Analysis of Variance Sum of MeanSource DF Squares Square F Value Pr > F
Model 2 0.12211 0.06105 4.16 0.0223Error 43 0.63094 0.01467 Corrected Total 45 0.75305
Root MSE 0.12113 R-Square 0.1622Dependent Mean 0.06804 Adj R-Sq 0.1232Coeff Var 178.02234
Parameter Estimates Parameter StandardVariable DF Estimate Error t Value Pr > |t|
Intercept 1 0.09789 0.03140 3.12 0.0032dli 1 -0.77359 0.65312 -1.18 0.2427llsr 1 -0.14518 0.05212 -2.79 0.0079
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 22
The REG ProcedureModel: MODEL2Dependent Variable: dlb
Number of Observations Read 47Number of Observations Used 46Number of Observations with Missing Values 1
Analysis of Variance Sum of MeanSource DF Squares Square F Value Pr > F
Model 2 0.22823 0.11412 7.00 0.0023Error 43 0.70137 0.01631 Corrected Total 45 0.92961
Root MSE 0.12771 R-Square 0.2455Dependent Mean -0.03011 Adj R-Sq 0.2104Coeff Var -424.19861
Parameter Estimates Parameter StandardVariable DF Estimate Error t Value Pr > |t|
Intercept 1 -0.12527 0.03288 -3.81 0.0004dli 1 2.43098 0.68137 3.57 0.0009llbr 1 -0.06908 0.05070 -1.36 0.1801
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 23
The REG ProcedureModel: MODEL3Dependent Variable: dlg
Number of Observations Read 47Number of Observations Used 46Number of Observations with Missing Values 1
Analysis of Variance Sum of MeanSource DF Squares Square F Value Pr > F
Model 2 0.53429 0.26714 8.05 0.0011Error 43 1.42696 0.03319 Corrected Total 45 1.96125
Root MSE 0.18217 R-Square 0.2724Dependent Mean 0.07714 Adj R-Sq 0.2386Coeff Var 236.15696
Parameter Estimates Parameter StandardVariable DF Estimate Error t Value Pr > |t|
Intercept 1 -0.07361 0.04873 -1.51 0.1382dli 1 3.77456 1.02279 3.69 0.0006llgr 1 -0.16991 0.06370 -2.67 0.0107
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 24
The REG ProcedureModel: MODEL1Dependent Variable: dls
Number of Observations Read 47Number of Observations Used 46Number of Observations with Missing Values 1
Analysis of Variance Sum of MeanSource DF Squares Square F Value Pr > F
Model 2 0.10299 0.05149 3.41 0.0423Error 43 0.65006 0.01512 Corrected Total 45 0.75305
Root MSE 0.12295 R-Square 0.1368Dependent Mean 0.06804 Adj R-Sq 0.0966Coeff Var 180.69998
Parameter Estimates Parameter StandardVariable DF Estimate Error t Value Pr > |t|
Intercept 1 0.45553 0.15050 3.03 0.0042dli 1 -1.98680 0.88819 -2.24 0.0305ecs 1 -0.10414 0.04160 -2.50 0.0162
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 25
The REG ProcedureModel: MODEL2Dependent Variable: dlb
Number of Observations Read 47Number of Observations Used 46Number of Observations with Missing Values 1
Analysis of Variance Sum of MeanSource DF Squares Square F Value Pr > F
Model 2 0.23028 0.11514 7.08 0.0022Error 43 0.69933 0.01626 Corrected Total 45 0.92961
Root MSE 0.12753 R-Square 0.2477Dependent Mean -0.03011 Adj R-Sq 0.2127Coeff Var -423.57971
Parameter Estimates Parameter StandardVariable DF Estimate Error t Value Pr > |t|
Intercept 1 -0.28030 0.11567 -2.42 0.0197dli 1 3.28635 0.94067 3.49 0.0011ecb 1 -0.03982 0.02824 -1.41 0.1658
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 26
The REG ProcedureModel: MODEL3Dependent Variable: dlg
Number of Observations Read 47Number of Observations Used 46Number of Observations with Missing Values 1
Analysis of Variance Sum of MeanSource DF Squares Square F Value Pr > F
Model 2 0.49475 0.24738 7.25 0.0019Error 43 1.46649 0.03410 Corrected Total 45 1.96125
Root MSE 0.18467 R-Square 0.2523Dependent Mean 0.07714 Adj R-Sq 0.2175Coeff Var 239.40632
Parameter Estimates Parameter StandardVariable DF Estimate Error t Value Pr > |t|
Intercept 1 0.10703 0.07687 1.39 0.1710dli 1 2.94241 0.98312 2.99 0.0046ecg 1 -0.13625 0.05676 -2.40 0.0208
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 27
The REG ProcedureModel: MODEL1Dependent Variable: ls
Number of Observations Read 47Number of Observations Used 47
Analysis of Variance Sum of MeanSource DF Squares Square F Value Pr > F
Model 1 49.90520 49.90520 400.48 <.0001Error 45 5.60763 0.12461 Corrected Total 46 55.51283
Root MSE 0.35301 R-Square 0.8990Dependent Mean 7.80530 Adj R-Sq 0.8967Coeff Var 4.52266
Parameter Estimates Parameter StandardVariable DF Estimate Error t Value Pr > |t|
Intercept 1 -1.36132 0.46094 -2.95 0.0050li 1 1.90112 0.09500 20.01 <.0001
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 28
The REG ProcedureModel: MODEL1Dependent Variable: ls
Output Statistics Hat Diag Cov -------DFBETAS------- Obs Residual RStudent H Ratio DFFITS Intercept li
1 0.5870 1.8167 0.1193 1.0277 0.6686 0.6338 -0.6060 2 0.6761 2.1093 0.1122 0.9717 0.7498 0.7072 -0.6750 3 0.7222 2.2620 0.1071 0.9401 0.7835 0.7360 -0.7014 4 0.5586 1.7007 0.0979 1.0208 0.5602 0.5217 -0.4956 5 0.0898 0.2628 0.0831 1.1372 0.0791 0.0723 -0.0682 6 -0.0340 -0.0989 0.0719 1.1266 -0.0275 -0.0246 0.0231 7 0.0342 0.0990 0.0654 1.1186 0.0262 0.0230 -0.0215 8 -0.0999 -0.2888 0.0585 1.1068 -0.0720 -0.0619 0.0575 9 -0.2388 -0.6904 0.0513 1.0791 -0.1606 -0.1337 0.1229 10 -0.3606 -1.0447 0.0421 1.0398 -0.2191 -0.1706 0.1542 11 -0.4462 -1.2953 0.0335 1.0041 -0.2410 -0.1660 0.1454 12 -0.5496 -1.6071 0.0283 0.9604 -0.2744 -0.1626 0.1369 13 -0.7345 -2.1958 0.0259 0.8721 -0.3579 -0.1863 0.1510 14 -0.4990 -1.4488 0.0248 0.9771 -0.2310 -0.1104 0.0871 15 -0.5816 -1.7021 0.0236 0.9430 -0.2645 -0.1102 0.0826 16 -0.4916 -1.4246 0.0228 0.9780 -0.2174 -0.0787 0.0556 17 -0.2969 -0.8481 0.0224 1.0358 -0.1284 -0.0426 0.0288 18 -0.1920 -0.5456 0.0219 1.0550 -0.0815 -0.0221 0.0132 19 -0.3447 -0.9869 0.0214 1.0231 -0.1461 -0.0292 0.0130 20 -0.2513 -0.7155 0.0213 1.0443 -0.1055 -0.0121 0.0003 21 -0.3325 -0.9512 0.0215 1.0263 -0.1409 -0.0025 -0.0133 22 -0.2932 -0.8369 0.0219 1.0361 -0.1252 0.0071 -0.0211 23 -0.2453 -0.6987 0.0224 1.0465 -0.1057 0.0116 -0.0232 24 -0.2154 -0.6129 0.0229 1.0525 -0.0939 0.0150 -0.0253 25 -0.2454 -0.6994 0.0235 1.0478 -0.1086 0.0219 -0.0337 26 -0.1625 -0.4619 0.0243 1.0617 -0.0729 0.0180 -0.0258 27 -0.0106 -0.0302 0.0252 1.0730 -0.0049 0.0014 -0.0019 28 0.1889 0.5379 0.0260 1.0600 0.0880 -0.0285 0.0376 29 0.3462 0.9940 0.0266 1.0279 0.1644 -0.0569 0.0738 30 0.4227 1.2208 0.0275 1.0063 0.2054 -0.0771 0.0979 31 0.3986 1.1501 0.0290 1.0153 0.1988 -0.0830 0.1027 32 0.2835 0.8124 0.0304 1.0471 0.1439 -0.0649 0.0788 33 0.1167 0.3324 0.0312 1.0743 0.0597 -0.0280 0.0337 34 0.0500 0.1424 0.0325 1.0801 0.0261 -0.0129 0.0153
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 29
The REG ProcedureModel: MODEL1Dependent Variable: ls
Output Statistics Hat Diag Cov -------DFBETAS------- Obs Residual RStudent H Ratio DFFITS Intercept li
35 0.1938 0.5544 0.0340 1.0678 0.1040 -0.0541 0.0637 36 0.2361 0.6771 0.0361 1.0629 0.1311 -0.0723 0.0841 37 0.3044 0.8770 0.0383 1.0506 0.1750 -0.1013 0.1166 38 0.3950 1.1462 0.0403 1.0276 0.2349 -0.1413 0.1614 39 0.1402 0.4023 0.0432 1.0852 0.0855 -0.0538 0.0609 40 -0.1299 -0.3726 0.0429 1.0860 -0.0789 0.0495 -0.0560 41 0.009908 0.0284 0.0443 1.0944 0.0061 -0.0039 0.0044 42 0.0365 0.1047 0.0468 1.0968 0.0232 -0.0153 0.0171 43 0.0148 0.0426 0.0486 1.0994 0.0096 -0.0065 0.0072 44 0.2478 0.7163 0.0500 1.0757 0.1643 -0.1117 0.1245 45 0.2592 0.7502 0.0514 1.0750 0.1747 -0.1203 0.1337 46 0.1904 0.5496 0.0515 1.0878 0.1281 -0.0884 0.0982 47 0.2528 0.7319 0.0527 1.0778 0.1727 -0.1203 0.1333
Sum of Residuals 0Sum of Squared Residuals 5.60763Predicted Residual SS (PRESS) 6.28043
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 30
The REG ProcedureModel: MODEL2Dependent Variable: lb
Number of Observations Read 47Number of Observations Used 47
Analysis of Variance Sum of MeanSource DF Squares Square F Value Pr > F
Model 1 5.05095 5.05095 32.64 <.0001Error 45 6.96412 0.15476 Corrected Total 46 12.01507
Root MSE 0.39339 R-Square 0.4204Dependent Mean 1.76817 Adj R-Sq 0.4075Coeff Var 22.24863
Parameter Estimates Parameter StandardVariable DF Estimate Error t Value Pr > |t|
Intercept 1 4.68441 0.51368 9.12 <.0001li 1 -0.60482 0.10587 -5.71 <.0001
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 31
The REG ProcedureModel: MODEL2Dependent Variable: lb
Output Statistics Hat Diag Cov -------DFBETAS------- Obs Residual RStudent H Ratio DFFITS Intercept li
1 -0.4770 -1.3021 0.1193 1.1011 -0.4792 -0.4542 0.4343 2 -0.6277 -1.7306 0.1122 1.0328 -0.6152 -0.5802 0.5538 3 -0.6005 -1.6459 0.1071 1.0395 -0.5701 -0.5356 0.5104 4 -0.4674 -1.2590 0.0979 1.0802 -0.4147 -0.3862 0.3669 5 -0.3040 -0.8038 0.0831 1.1080 -0.2420 -0.2211 0.2087 6 -0.1959 -0.5125 0.0719 1.1137 -0.1427 -0.1277 0.1198 7 -0.2107 -0.5497 0.0654 1.1039 -0.1454 -0.1279 0.1194 8 -0.1979 -0.5142 0.0585 1.0978 -0.1282 -0.1103 0.1023 9 -0.0284 -0.0733 0.0513 1.1023 -0.0170 -0.0142 0.0130 10 0.1522 0.3915 0.0421 1.0844 0.0821 0.0639 -0.0578 11 0.4227 1.0953 0.0335 1.0255 0.2038 0.1403 -0.1230 12 0.6758 1.7845 0.0283 0.9361 0.3047 0.1805 -0.1520 13 0.6443 1.6935 0.0259 0.9464 0.2760 0.1437 -0.1164 14 0.5054 1.3113 0.0248 0.9934 0.2091 0.0999 -0.0788 15 0.6449 1.6932 0.0236 0.9442 0.2631 0.1096 -0.0822 16 0.5079 1.3167 0.0228 0.9907 0.2010 0.0727 -0.0514 17 0.1949 0.4970 0.0224 1.0580 0.0752 0.0250 -0.0169 18 0.3050 0.7806 0.0219 1.0403 0.1167 0.0316 -0.0189 19 0.3829 0.9837 0.0214 1.0234 0.1456 0.0291 -0.0130 20 0.3699 0.9493 0.0213 1.0262 0.1400 0.0160 -0.0004 21 0.4087 1.0516 0.0215 1.0171 0.1558 0.0028 0.0147 22 0.3495 0.8964 0.0219 1.0314 0.1341 -0.0076 0.0225 23 0.2530 0.6463 0.0224 1.0499 0.0977 -0.0107 0.0215 24 0.0934 0.2376 0.0229 1.0678 0.0364 -0.0058 0.0098 25 0.2975 0.7617 0.0235 1.0435 0.1183 -0.0239 0.0367 26 0.2382 0.6088 0.0243 1.0542 0.0961 -0.0237 0.0340 27 0.2358 0.6029 0.0252 1.0555 0.0970 -0.0283 0.0384 28 0.2355 0.6023 0.0260 1.0565 0.0985 -0.0319 0.0421 29 0.0565 0.1440 0.0266 1.0736 0.0238 -0.0082 0.0107 30 0.1413 0.3606 0.0275 1.0693 0.0607 -0.0228 0.0289 31 0.2263 0.5796 0.0290 1.0610 0.1002 -0.0418 0.0518 32 0.0600 0.1532 0.0304 1.0776 0.0271 -0.0122 0.0149 33 -0.0157 -0.0402 0.0312 1.0796 -0.0072 0.0034 -0.0041 34 -0.1415 -0.3622 0.0325 1.0747 -0.0664 0.0327 -0.0390
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 32
The REG ProcedureModel: MODEL2Dependent Variable: lb
Output Statistics Hat Diag Cov -------DFBETAS------- Obs Residual RStudent H Ratio DFFITS Intercept li
35 -0.0628 -0.1607 0.0340 1.0815 -0.0302 0.0157 -0.0185 36 -0.0380 -0.0973 0.0361 1.0847 -0.0188 0.0104 -0.0121 37 0.0935 0.2399 0.0383 1.0848 0.0479 -0.0277 0.0319 38 0.0743 0.1908 0.0403 1.0881 0.0391 -0.0235 0.0269 39 -0.1378 -0.3547 0.0432 1.0870 -0.0754 0.0475 -0.0537 40 -0.2558 -0.6606 0.0429 1.0715 -0.1399 0.0877 -0.0993 41 -0.2581 -0.6670 0.0443 1.0726 -0.1435 0.0917 -0.1034 42 -0.3865 -1.0064 0.0468 1.0485 -0.2231 0.1469 -0.1648 43 -0.8086 -2.1950 0.0486 0.8931 -0.4963 0.3332 -0.3722 44 -0.5331 -1.4053 0.0500 1.0084 -0.3223 0.2192 -0.2442 45 -0.4458 -1.1683 0.0514 1.0373 -0.2720 0.1874 -0.2083 46 -0.6164 -1.6388 0.0515 0.9796 -0.3820 0.2635 -0.2927 47 -0.7599 -2.0544 0.0527 0.9194 -0.4847 0.3376 -0.3743
Sum of Residuals 0Sum of Squared Residuals 6.96412Predicted Residual SS (PRESS) 7.73689
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 33
The REG ProcedureModel: MODEL3Dependent Variable: lg
Number of Observations Read 47Number of Observations Used 47
Analysis of Variance Sum of MeanSource DF Squares Square F Value Pr > F
Model 1 25.20608 25.20608 123.16 <.0001Error 45 9.21005 0.20467 Corrected Total 46 34.41613
Root MSE 0.45240 R-Square 0.7324Dependent Mean 5.90876 Adj R-Sq 0.7264Coeff Var 7.65647
Parameter Estimates Parameter StandardVariable DF Estimate Error t Value Pr > |t|
Intercept 1 -0.60586 0.59073 -1.03 0.3106li 1 1.35111 0.12175 11.10 <.0001
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 34
The REG ProcedureModel: MODEL3Dependent Variable: lg
Output Statistics Hat Diag Cov -------DFBETAS------- Obs Residual RStudent H Ratio DFFITS Intercept li
1 -0.7547 -1.8228 0.1193 1.0267 -0.6708 -0.6359 0.6080 2 -0.6863 -1.6400 0.1122 1.0463 -0.5830 -0.5499 0.5248 3 -0.3743 -0.8733 0.1071 1.1319 -0.3025 -0.2842 0.2708 4 0.0567 0.1306 0.0979 1.1586 0.0430 0.0401 -0.0380 5 0.4067 0.9376 0.0831 1.0965 0.2822 0.2579 -0.2434 6 0.3019 0.6887 0.0719 1.1031 0.1917 0.1716 -0.1609 7 -0.0277 -0.0625 0.0654 1.1189 -0.0165 -0.0146 0.0136 8 0.0566 0.1276 0.0585 1.1102 0.0318 0.0274 -0.0254 9 0.2273 0.5116 0.0513 1.0896 0.1190 0.0991 -0.0911 10 0.5433 1.2341 0.0421 1.0201 0.2589 0.2015 -0.1821 11 1.0665 2.5389 0.0335 0.8233 0.4724 0.3253 -0.2850 12 0.6421 1.4577 0.0283 0.9796 0.2489 0.1475 -0.1241 13 0.3618 0.8071 0.0259 1.0427 0.1316 0.0685 -0.0555 14 0.4382 0.9805 0.0248 1.0272 0.1564 0.0747 -0.0589 15 0.2200 0.4880 0.0236 1.0597 0.0758 0.0316 -0.0237 16 0.0451 0.0996 0.0228 1.0699 0.0152 0.0055 -0.0039 17 0.1686 0.3732 0.0224 1.0632 0.0565 0.0188 -0.0127 18 0.3137 0.6971 0.0219 1.0461 0.1042 0.0283 -0.0169 19 0.2361 0.5234 0.0214 1.0557 0.0775 0.0155 -0.0069 20 0.0366 0.0810 0.0213 1.0684 0.0119 0.0014 -0.0000 21 -0.0280 -0.0619 0.0215 1.0687 -0.0092 -0.0002 -0.0009 22 -0.1411 -0.3121 0.0219 1.0647 -0.0467 0.0027 -0.0079 23 -0.2335 -0.5177 0.0224 1.0570 -0.0783 0.0086 -0.0172 24 -0.2273 -0.5041 0.0229 1.0583 -0.0773 0.0124 -0.0208 25 -0.1967 -0.4360 0.0235 1.0620 -0.0677 0.0137 -0.0210 26 -0.2347 -0.5209 0.0243 1.0589 -0.0822 0.0203 -0.0291 27 -0.2645 -0.5878 0.0252 1.0564 -0.0946 0.0275 -0.0375 28 -0.4533 -1.0158 0.0260 1.0253 -0.1661 0.0539 -0.0711 29 -0.5924 -1.3388 0.0266 0.9921 -0.2215 0.0766 -0.0994 30 -0.6752 -1.5360 0.0275 0.9689 -0.2585 0.0971 -0.1232 31 -0.7183 -1.6413 0.0290 0.9565 -0.2837 0.1185 -0.1466 32 -0.7856 -1.8075 0.0304 0.9348 -0.3201 0.1444 -0.1754 33 -0.6728 -1.5335 0.0312 0.9729 -0.2753 0.1291 -0.1554 34 -0.5434 -1.2280 0.0325 1.0106 -0.2250 0.1110 -0.1321
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 35
The REG ProcedureModel: MODEL3Dependent Variable: lg
Output Statistics Hat Diag Cov -------DFBETAS------- Obs Residual RStudent H Ratio DFFITS Intercept li
35 -0.4606 -1.0367 0.0340 1.0318 -0.1946 0.1012 -0.1191 36 -0.4226 -0.9504 0.0361 1.0420 -0.1840 0.1015 -0.1180 37 -0.1594 -0.3557 0.0383 1.0814 -0.0710 0.0411 -0.0473 38 -0.0552 -0.1232 0.0403 1.0891 -0.0252 0.0152 -0.0173 39 0.1189 0.2658 0.0432 1.0897 0.0565 -0.0356 0.0403 40 0.2338 0.5239 0.0429 1.0794 0.1109 -0.0696 0.0788 41 0.4423 1.0000 0.0443 1.0463 0.2152 -0.1374 0.1550 42 0.6496 1.4905 0.0468 0.9944 0.3304 -0.2176 0.2440 43 0.6807 1.5673 0.0486 0.9862 0.3544 -0.2380 0.2658 44 0.4919 1.1187 0.0500 1.0409 0.2565 -0.1745 0.1944 45 0.3633 0.8215 0.0514 1.0696 0.1913 -0.1318 0.1464 46 0.2739 0.6175 0.0515 1.0839 0.1439 -0.0993 0.1103 47 0.3317 0.7496 0.0527 1.0765 0.1769 -0.1232 0.1366
Sum of Residuals 0Sum of Squared Residuals 9.21005Predicted Residual SS (PRESS) 10.14902
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 36
The REG ProcedureModel: MODEL1Dependent Variable: dls
Number of Observations Read 47Number of Observations Used 46Number of Observations with Missing Values 1
Analysis of Variance Sum of MeanSource DF Squares Square F Value Pr > F
Model 1 0.00826 0.00826 0.49 0.4885Error 44 0.74479 0.01693 Corrected Total 45 0.75305
Root MSE 0.13010 R-Square 0.0110Dependent Mean 0.06804 Adj R-Sq -0.0115Coeff Var 191.20757
Parameter Estimates Parameter StandardVariable DF Estimate Error t Value Pr > |t|
Intercept 1 0.08721 0.03348 2.61 0.0125dli 1 -0.48378 0.69253 -0.70 0.4885
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 37
The REG ProcedureModel: MODEL1Dependent Variable: dls
Output Statistics Hat Diag Cov -------DFBETAS------- Obs Residual RStudent H Ratio DFFITS Intercept dli
1 . . . . . . . 2 0.1042 0.8065 0.0220 1.0390 0.1211 0.0573 0.0142 3 0.0342 0.2632 0.0236 1.0689 0.0409 0.0318 -0.0114 4 -0.1069 -0.8330 0.0339 1.0497 -0.1561 0.0050 -0.0935 5 -0.3064 -2.7205 0.1417 0.8880 -1.1054 0.5854 -1.0171 6 -0.002687 -0.0214 0.0863 1.1459 -0.0066 0.0028 -0.0057 7 0.1146 0.8919 0.0294 1.0399 0.1551 0.0117 0.0791 8 -0.0711 -0.5522 0.0372 1.0723 -0.1086 0.0099 -0.0701 9 -0.0515 -0.4034 0.0536 1.0981 -0.0960 0.0257 -0.0741 10 0.0474 0.3916 0.1523 1.2265 0.1660 -0.0900 0.1537 11 0.1292 1.1398 0.2362 1.2917 0.6339 -0.3848 0.6040 12 0.0435 0.3524 0.1189 1.1815 0.1295 -0.0642 0.1170 13 -0.1295 -1.0125 0.0333 1.0332 -0.1878 0.0036 -0.1106 14 0.2237 1.7825 0.0235 0.9298 0.2768 0.2153 -0.0768 15 -0.0690 -0.5319 0.0219 1.0566 -0.0797 -0.0392 -0.0076 16 0.0863 0.6665 0.0223 1.0492 0.1008 0.0705 -0.0166 17 0.1513 1.1894 0.0345 1.0165 0.2247 0.2142 -0.1366 18 0.1032 0.7991 0.0221 1.0397 0.1202 0.0816 -0.0162 19 -0.1433 -1.1167 0.0218 1.0109 -0.1666 -0.0908 -0.0056 20 0.1185 0.9201 0.0233 1.0310 0.1421 0.0484 0.0369 21 -0.0430 -0.3312 0.0265 1.0701 -0.0547 -0.0093 -0.0232 22 0.0504 0.3881 0.0218 1.0629 0.0580 0.0304 0.0034 23 0.0314 0.2419 0.0245 1.0705 0.0384 0.0313 -0.0130 24 0.0131 0.1005 0.0246 1.0730 0.0160 0.0131 -0.0055 25 -0.0569 -0.4396 0.0276 1.0671 -0.0740 -0.0655 0.0340 26 0.0623 0.4812 0.0256 1.0631 0.0780 0.0660 -0.0303 27 0.1340 1.0444 0.0249 1.0213 0.1668 0.1379 -0.0592 28 0.1664 1.3093 0.0299 0.9981 0.2297 0.2105 -0.1198 29 0.1070 0.8355 0.0383 1.0542 0.1667 0.1618 -0.1096 30 0.0413 0.3194 0.0307 1.0751 0.0568 0.0526 -0.0307 31 -0.0324 -0.2493 0.0230 1.0686 -0.0382 -0.0285 0.0088 32 -0.1355 -1.0561 0.0255 1.0208 -0.1709 -0.1443 0.0658 33 -0.2166 -1.7357 0.0380 0.9505 -0.3448 -0.3342 0.2254 34 -0.1001 -0.7780 0.0300 1.0497 -0.1368 -0.1256 0.0718
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 38
The REG ProcedureModel: MODEL1Dependent Variable: dls
Output Statistics Hat Diag Cov -------DFBETAS------- Obs Residual RStudent H Ratio DFFITS Intercept dli
35 0.1193 0.9283 0.0268 1.0340 0.1540 0.1342 -0.0668 36 0.0345 0.2654 0.0229 1.0680 0.0406 0.0301 -0.0090 37 0.0568 0.4378 0.0235 1.0627 0.0679 0.0526 -0.0185 38 0.0699 0.5399 0.0256 1.0602 0.0876 0.0742 -0.0342 39 -0.2517 -2.0236 0.0218 0.8924 -0.3023 -0.1885 0.0190 40 -0.3662 -3.2241 0.0750 0.7341 -0.9177 -0.9169 0.7733 41 0.0923 0.7191 0.0367 1.0613 0.1403 0.1353 -0.0896 42 0.0126 0.0968 0.0240 1.0723 0.0152 0.0121 -0.0046 43 -0.0595 -0.4609 0.0319 1.0709 -0.0837 -0.0783 0.0472 44 0.1808 1.4351 0.0393 0.9926 0.2904 0.2828 -0.1942 45 -0.0382 -0.2966 0.0379 1.0838 -0.0588 -0.0570 0.0384 46 -0.1529 -1.2215 0.0634 1.0442 -0.3178 -0.3178 0.2576 47 0.005107 0.0397 0.0424 1.0934 0.0083 0.0082 -0.0058
Sum of Residuals 0Sum of Squared Residuals 0.74479Predicted Residual SS (PRESS) 0.84607
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 39
The REG ProcedureModel: MODEL2Dependent Variable: dlb
Number of Observations Read 47Number of Observations Used 46Number of Observations with Missing Values 1
Analysis of Variance Sum of MeanSource DF Squares Square F Value Pr > F
Model 1 0.19796 0.19796 11.90 0.0012Error 44 0.73165 0.01663 Corrected Total 45 0.92961
Root MSE 0.12895 R-Square 0.2129Dependent Mean -0.03011 Adj R-Sq 0.1951Coeff Var -428.30647
Parameter Estimates Parameter StandardVariable DF Estimate Error t Value Pr > |t|
Intercept 1 -0.12392 0.03318 -3.74 0.0005dli 1 2.36830 0.68640 3.45 0.0012
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 40
The REG ProcedureModel: MODEL2Dependent Variable: dlb
Output Statistics Hat Diag Cov -------DFBETAS------- Obs Residual RStudent H Ratio DFFITS Intercept dli
1 . . . . . . . 2 -0.1543 -1.2162 0.0220 1.0006 -0.1826 -0.0864 -0.0214 3 0.0572 0.4447 0.0236 1.0625 0.0691 0.0538 -0.0192 4 0.0776 0.6082 0.0339 1.0654 0.1139 -0.0037 0.0683 5 -0.0239 -0.1980 0.1417 1.2177 -0.0805 0.0426 -0.0740 6 -0.0276 -0.2217 0.0863 1.1433 -0.0681 0.0287 -0.0589 7 -0.0575 -0.4483 0.0294 1.0687 -0.0780 -0.0059 -0.0397 8 -0.0506 -0.3958 0.0372 1.0797 -0.0778 0.0071 -0.0502 9 0.0759 0.6006 0.0536 1.0881 0.1430 -0.0382 0.1103 10 -0.0151 -0.1261 0.1523 1.2343 -0.0535 0.0290 -0.0495 11 0.0180 0.1575 0.2362 1.3693 0.0876 -0.0532 0.0835 12 0.0852 0.6995 0.1189 1.1618 0.2570 -0.1274 0.2323 13 -0.0853 -0.6687 0.0333 1.0609 -0.1240 0.0024 -0.0730 14 -0.1090 -0.8525 0.0235 1.0370 -0.1324 -0.1030 0.0367 15 0.1378 1.0826 0.0219 1.0145 0.1621 0.0798 0.0155 16 -0.1171 -0.9169 0.0223 1.0303 -0.1386 -0.0971 0.0228 17 -0.2438 -1.9877 0.0345 0.9096 -0.3756 -0.3580 0.2282 18 0.1275 0.9995 0.0221 1.0227 0.1504 0.1020 -0.0203 19 0.0813 0.6330 0.0218 1.0507 0.0944 0.0515 0.0032 20 -0.0291 -0.2255 0.0233 1.0695 -0.0348 -0.0119 -0.0090 21 0.006339 0.0493 0.0265 1.0755 0.0081 0.0014 0.0035 22 -0.0578 -0.4494 0.0218 1.0604 -0.0671 -0.0352 -0.0039 23 -0.0608 -0.4729 0.0245 1.0623 -0.0750 -0.0612 0.0254 24 -0.1234 -0.9684 0.0246 1.0282 -0.1539 -0.1261 0.0528 25 0.2529 2.0607 0.0276 0.8919 0.3469 0.3072 -0.1594 26 -0.0184 -0.1432 0.0256 1.0735 -0.0232 -0.0196 0.0090 27 0.0350 0.2721 0.0249 1.0701 0.0435 0.0359 -0.0154 28 0.0561 0.4378 0.0299 1.0697 0.0768 0.0704 -0.0401 29 -0.1010 -0.7954 0.0383 1.0574 -0.1587 -0.1540 0.1043 30 0.1437 1.1357 0.0307 1.0182 0.2021 0.1869 -0.1091 31 0.1107 0.8662 0.0230 1.0352 0.1328 0.0991 -0.0306 32 -0.1258 -0.9883 0.0255 1.0273 -0.1599 -0.1351 0.0616 33 0.001571 0.0123 0.0380 1.0884 0.0024 0.0024 -0.0016 34 -0.0689 -0.5380 0.0300 1.0651 -0.0946 -0.0868 0.0497
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 41
The REG ProcedureModel: MODEL2Dependent Variable: dlb
Output Statistics Hat Diag Cov -------DFBETAS------- Obs Residual RStudent H Ratio DFFITS Intercept dli
35 0.1245 0.9782 0.0268 1.0295 0.1623 0.1414 -0.0704 36 0.0497 0.3860 0.0229 1.0642 0.0590 0.0437 -0.0131 37 0.1611 1.2728 0.0235 0.9958 0.1974 0.1530 -0.0539 38 0.0218 0.1696 0.0256 1.0732 0.0275 0.0233 -0.0107 39 -0.2008 -1.6026 0.0218 0.9531 -0.2394 -0.1493 0.0151 40 0.0170 0.1356 0.0750 1.1309 0.0386 0.0386 -0.0325 41 0.0722 0.5657 0.0367 1.0709 0.1104 0.1065 -0.0705 42 -0.0957 -0.7476 0.0240 1.0454 -0.1172 -0.0934 0.0359 43 -0.3597 -3.1002 0.0319 0.7225 -0.5627 -0.5264 0.3175 44 0.3557 3.0728 0.0393 0.7328 0.6217 0.6056 -0.4157 45 0.1644 1.3100 0.0379 1.0063 0.2599 0.2518 -0.1696 46 -0.0504 -0.4003 0.0634 1.1096 -0.1041 -0.1041 0.0844 47 -0.0569 -0.4469 0.0424 1.0834 -0.0941 -0.0924 0.0657
Sum of Residuals 0Sum of Squared Residuals 0.73165Predicted Residual SS (PRESS) 0.78116
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 42
The REG ProcedureModel: MODEL3Dependent Variable: dlg
Number of Observations Read 47Number of Observations Used 46Number of Observations with Missing Values 1
Analysis of Variance Sum of MeanSource DF Squares Square F Value Pr > F
Model 1 0.29822 0.29822 7.89 0.0074Error 44 1.66302 0.03780 Corrected Total 45 1.96125
Root MSE 0.19441 R-Square 0.1521Dependent Mean 0.07714 Adj R-Sq 0.1328Coeff Var 252.03004
Parameter Estimates Parameter StandardVariable DF Estimate Error t Value Pr > |t|
Intercept 1 -0.03801 0.05002 -0.76 0.4514dli 1 2.90685 1.03484 2.81 0.0074
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 43
The REG ProcedureModel: MODEL3Dependent Variable: dlg
Output Statistics Hat Diag Cov -------DFBETAS------- Obs Residual RStudent H Ratio DFFITS Intercept dli
1 . . . . . . . 2 0.0396 0.2039 0.0220 1.0686 0.0306 0.0145 0.0036 3 0.3009 1.5932 0.0236 0.9561 0.2475 0.1926 -0.0688 4 0.3752 2.0320 0.0339 0.9022 0.3807 -0.0123 0.2281 5 0.2252 1.2584 0.1417 1.1348 0.5113 -0.2708 0.4705 6 -0.2027 -1.0932 0.0863 1.0848 -0.3360 0.1415 -0.2906 7 -0.3787 -2.0478 0.0294 0.8955 -0.3562 -0.0268 -0.1815 8 0.0243 0.1260 0.0372 1.0867 0.0248 -0.0022 0.0160 9 0.0948 0.4972 0.0536 1.0938 0.1184 -0.0316 0.0913 10 0.1868 1.0444 0.1523 1.1749 0.4428 -0.2401 0.4100 11 0.3643 2.2398 0.2362 1.0994 1.2456 -0.7562 1.1869 12 -0.5392 -3.2624 0.1189 0.7636 -1.1985 0.5942 -1.0834 13 -0.3353 -1.7980 0.0333 0.9369 -0.3335 0.0064 -0.1963 14 0.0653 0.3363 0.0235 1.0667 0.0522 0.0406 -0.0145 15 -0.2460 -1.2889 0.0219 0.9924 -0.1930 -0.0950 -0.0184 16 -0.1914 -0.9955 0.0223 1.0233 -0.1505 -0.1054 0.0248 17 0.1328 0.6913 0.0345 1.0607 0.1306 0.1245 -0.0794 18 0.1274 0.6583 0.0221 1.0495 0.0991 0.0672 -0.0134 19 -0.1026 -0.5292 0.0218 1.0565 -0.0789 -0.0430 -0.0026 20 -0.2347 -1.2286 0.0233 1.0006 -0.1898 -0.0647 -0.0493 21 -0.1085 -0.5614 0.0265 1.0600 -0.0927 -0.0158 -0.0394 22 -0.1392 -0.7198 0.0218 1.0451 -0.1075 -0.0564 -0.0062 23 -0.1005 -0.5192 0.0245 1.0601 -0.0824 -0.0672 0.0279 24 -0.001751 -0.009014 0.0246 1.0735 -0.0014 -0.0012 0.0005 25 0.0293 0.1513 0.0276 1.0756 0.0255 0.0226 -0.0117 26 -0.0435 -0.2240 0.0256 1.0721 -0.0363 -0.0307 0.0141 27 -0.0371 -0.1910 0.0249 1.0719 -0.0305 -0.0252 0.0108 28 -0.1861 -0.9715 0.0299 1.0334 -0.1704 -0.1562 0.0889 29 -0.1250 -0.6516 0.0383 1.0675 -0.1300 -0.1262 0.0854 30 -0.0788 -0.4076 0.0307 1.0719 -0.0725 -0.0671 0.0392 31 -0.0566 -0.2912 0.0230 1.0674 -0.0446 -0.0333 0.0103 32 -0.0730 -0.3765 0.0255 1.0674 -0.0609 -0.0515 0.0235 33 0.1264 0.6587 0.0380 1.0667 0.1308 0.1268 -0.0855 34 0.1324 0.6871 0.0300 1.0561 0.1208 0.1109 -0.0634
�AREC-ECON 535 Problem Set 1 10:42 Tuesday, September 5, 2017 44
The REG ProcedureModel: MODEL3Dependent Variable: dlg
Output Statistics Hat Diag Cov -------DFBETAS------- Obs Residual RStudent H Ratio DFFITS Intercept dli
35 0.0799 0.4128 0.0268 1.0674 0.0685 0.0597 -0.0297 36 0.0242 0.1245 0.0229 1.0708 0.0190 0.0141 -0.0042 37 0.2518 1.3218 0.0235 0.9901 0.2050 0.1589 -0.0560 38 0.0988 0.5105 0.0256 1.0617 0.0828 0.0702 -0.0323 39 0.1532 0.7933 0.0218 1.0398 0.1185 0.0739 -0.0075 40 0.1587 0.8459 0.0750 1.0951 0.2408 0.2406 -0.2029 41 0.2206 1.1608 0.0367 1.0219 0.2265 0.2184 -0.1446 42 0.1975 1.0292 0.0240 1.0218 0.1614 0.1285 -0.0494 43 0.0369 0.1910 0.0319 1.0797 0.0347 0.0324 -0.0196 44 -0.1736 -0.9093 0.0393 1.0492 -0.1840 -0.1792 0.1230 45 -0.1151 -0.5993 0.0379 1.0703 -0.1189 -0.1152 0.0776 46 -0.0533 -0.2804 0.0634 1.1139 -0.0730 -0.0729 0.0591 47 0.0762 0.3967 0.0424 1.0855 0.0835 0.0821 -0.0583
Sum of Residuals 0Sum of Squared Residuals 1.66302Predicted Residual SS (PRESS) 1.95214
