Welcome to SHAZAM - Version 9.0 - DEC 2003 SYSTEM=WIN-XP PAR= 2000 CURRENT WORKING DIRECTORY IS: C:\ECONOM~1\Berndt |_file path C:\esl\user\ |_read (data4-4) BUSTRAVL FARE GASPRICE INCOME POP DENSITY LANDAREA UNIT 88 IS NOW ASSIGNED TO: C:\esl\user\data4-4 ...SAMPLE RANGE IS NOW SET TO: 1 40 |_ols BUSTRAVL FARE GASPRICE INCOME POP DENSITY LANDAREA /resid=uhat REQUIRED MEMORY IS PAR= 7 CURRENT PAR= 2000 OLS ESTIMATION 40 OBSERVATIONS DEPENDENT VARIABLE= BUSTRAVL ...NOTE..SAMPLE RANGE SET TO: 1, 40 R-SQUARE = 0.9210 R-SQUARE ADJUSTED = 0.9067 VARIANCE OF THE ESTIMATE-SIGMA**2 = 0.55192E+06 STANDARD ERROR OF THE ESTIMATE-SIGMA = 742.91 SUM OF SQUARED ERRORS-SSE= 0.18213E+08 MEAN OF DEPENDENT VARIABLE = 1933.2 LOG OF THE LIKELIHOOD FUNCTION = -317.333 VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICITY NAME COEFFICIENT ERROR 33 DF P-VALUE CORR. COEFFICIENT AT MEANS FARE -238.65 451.7 -0.5283 0.601-0.092 -0.0274 -0.1089 GASPRICE 522.11 2658. 0.1964 0.845 0.034 0.0110 0.2469 INCOME -0.19474 0.6489E-01 -3.001 0.005-0.463 -0.1680 -1.6884 POP 1.7114 0.2314 7.397 0.000 0.790 0.8755 0.8138 DENSITY 0.11642 0.5957E-01 1.954 0.059 0.322 0.2183 0.4088 LANDAREA -1.1552 1.803 -0.6409 0.526-0.111 -0.0617 -0.0920 CONSTANT 2744.7 2642. 1.039 0.306 0.178 0.0000 1.4198 |_diag /het REQUIRED MEMORY IS PAR= 28 CURRENT PAR= 2000 DEPENDENT VARIABLE = BUSTRAVL 40 OBSERVATIONS REGRESSION COEFFICIENTS -238.654367557 522.113155841 -0.194744186329 1.71144239339 0.116415382279 -1.15522970285 2744.67968796 HETEROSKEDASTICITY TESTS CHI-SQUARE D.F. P-VALUE TEST STATISTIC E**2 ON YHAT: 4.955 1 0.02602 E**2 ON YHAT**2: 2.169 1 0.14079 E**2 ON LOG(YHAT**2): 6.049 1 0.01391 E**2 ON LAG(E**2) ARCH TEST: 0.374 1 0.54060 LOG(E**2) ON X (HARVEY) TEST: 8.853 6 0.18202 ABS(E) ON X (GLEJSER) TEST: 13.250 6 0.03923 E**2 ON X TEST: KOENKER(R2): 11.569 6 0.07230 B-P-G (SSR) : 12.447 6 0.05272 E**2 ON X X**2 (WHITE) TEST: KOENKER(R2): 19.887 12 0.06925 B-P-G (SSR) : 21.395 12 0.04488 E**2 ON X X**2 XX (WHITE) TEST: KOENKER(R2): 33.960 27 0.16722 B-P-G (SSR) : 36.535 27 0.10408 |_ols BUSTRAVL FARE GASPRICE INCOME POP DENSITY LANDAREA /hetcov REQUIRED MEMORY IS PAR= 7 CURRENT PAR= 2000 OLS ESTIMATION 40 OBSERVATIONS DEPENDENT VARIABLE= BUSTRAVL ...NOTE..SAMPLE RANGE SET TO: 1, 40 USING HETEROSKEDASTICITY-CONSISTENT COVARIANCE MATRIX R-SQUARE = 0.9210 R-SQUARE ADJUSTED = 0.9067 VARIANCE OF THE ESTIMATE-SIGMA**2 = 0.55192E+06 STANDARD ERROR OF THE ESTIMATE-SIGMA = 742.91 SUM OF SQUARED ERRORS-SSE= 0.18213E+08 MEAN OF DEPENDENT VARIABLE = 1933.2 LOG OF THE LIKELIHOOD FUNCTION = -317.333 VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICITY NAME COEFFICIENT ERROR 33 DF P-VALUE CORR. COEFFICIENT AT MEANS FARE -238.65 444.6 -0.5368 0.595-0.093 -0.0274 -0.1089 GASPRICE 522.11 1654. 0.3157 0.754 0.055 0.0110 0.2469 INCOME -0.19474 0.5303E-01 -3.672 0.001-0.539 -0.1680 -1.6884 POP 1.7114 0.2231 7.670 0.000 0.800 0.8755 0.8138 DENSITY 0.11642 0.4738E-01 2.457 0.019 0.393 0.2183 0.4088 LANDAREA -1.1552 1.574 -0.7340 0.468-0.127 -0.0617 -0.0920 CONSTANT 2744.7 1485. 1.849 0.073 0.306 0.0000 1.4198 |_genr u2=uhat**2 |_ols u2 FARE GASPRICE INCOME POP DENSITY LANDAREA /pred=u2hat REQUIRED MEMORY IS PAR= 7 CURRENT PAR= 2000 OLS ESTIMATION 40 OBSERVATIONS DEPENDENT VARIABLE= U2 ...NOTE..SAMPLE RANGE SET TO: 1, 40 R-SQUARE = 0.2892 R-SQUARE ADJUSTED = 0.1600 VARIANCE OF THE ESTIMATE-SIGMA**2 = 0.38433E+12 STANDARD ERROR OF THE ESTIMATE-SIGMA = 0.61994E+06 SUM OF SQUARED ERRORS-SSE= 0.12683E+14 MEAN OF DEPENDENT VARIABLE = 0.45533E+06 LOG OF THE LIKELIHOOD FUNCTION = -586.405 VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICITY NAME COEFFICIENT ERROR 33 DF P-VALUE CORR. COEFFICIENT AT MEANS FARE -0.87890E+06 0.3770E+06 -2.332 0.026-0.376 -0.3629 -1.7034 GASPRICE 0.22808E+07 0.2218E+07 1.028 0.311 0.176 0.1729 4.5796 INCOME -30.740 54.15 -0.5677 0.574-0.098 -0.0953 -1.1315 POP 224.09 193.1 1.161 0.254 0.198 0.4121 0.4524 DENSITY -29.887 49.71 -0.6012 0.552-0.104 -0.2015 -0.4456 LANDAREA 654.83 1504. 0.4353 0.666 0.076 0.1258 0.2214 CONSTANT -0.44297E+06 0.2204E+07 -0.2009 0.842-0.035 0.0000 -0.9729 |_genr d1=dum(u2hat) |_genr wt=1/(d1*u2hat+(1-d1)*u2) |_ols BUSTRAVL FARE GASPRICE INCOME POP DENSITY LANDAREA /weight=wt REQUIRED MEMORY IS PAR= 8 CURRENT PAR= 2000 OLS ESTIMATION 40 OBSERVATIONS DEPENDENT VARIABLE= BUSTRAVL ...NOTE..SAMPLE RANGE SET TO: 1, 40 SUM OF LOG(SQRT(ABS(WEIGHT))) = -40.834 R-SQUARE = 0.9450 R-SQUARE ADJUSTED = 0.9350 VARIANCE OF THE ESTIMATE-SIGMA**2 = 47882. STANDARD ERROR OF THE ESTIMATE-SIGMA = 218.82 SUM OF SQUARED ERRORS-SSE= 0.15801E+07 MEAN OF DEPENDENT VARIABLE = 551.52 LOG OF THE LIKELIHOOD FUNCTION = -309.274 VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICITY NAME COEFFICIENT ERROR 33 DF P-VALUE CORR. COEFFICIENT AT MEANS FARE -283.58 268.9 -1.054 0.299-0.181 -0.0732 -0.7255 GASPRICE 200.80 1919. 0.1047 0.917 0.018 0.0046 0.3247 INCOME -0.22904 0.4805E-01 -4.767 0.000-0.639 -0.2258 -7.1115 POP 1.8409 0.2388 7.710 0.000 0.802 0.7058 1.7989 DENSITY 0.86496E-01 0.4124E-01 2.097 0.044 0.343 0.3060 0.5005 LANDAREA -2.3570 1.608 -1.465 0.152-0.247 -0.1863 -0.9241 CONSTANT 3936.3 1887. 2.086 0.045 0.341 0.0000 7.1372 |_ols BUSTRAVL FARE INCOME POP DENSITY LANDAREA /weight=wt REQUIRED MEMORY IS PAR= 8 CURRENT PAR= 2000 OLS ESTIMATION 40 OBSERVATIONS DEPENDENT VARIABLE= BUSTRAVL ...NOTE..SAMPLE RANGE SET TO: 1, 40 SUM OF LOG(SQRT(ABS(WEIGHT))) = -40.834 R-SQUARE = 0.9450 R-SQUARE ADJUSTED = 0.9369 VARIANCE OF THE ESTIMATE-SIGMA**2 = 46490. STANDARD ERROR OF THE ESTIMATE-SIGMA = 215.61 SUM OF SQUARED ERRORS-SSE= 0.15806E+07 MEAN OF DEPENDENT VARIABLE = 551.52 LOG OF THE LIKELIHOOD FUNCTION = -309.281 VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICITY NAME COEFFICIENT ERROR 34 DF P-VALUE CORR. COEFFICIENT AT MEANS FARE -280.18 263.1 -1.065 0.294-0.180 -0.0723 -0.7168 INCOME -0.22935 0.4725E-01 -4.854 0.000-0.640 -0.2261 -7.1211 POP 1.8449 0.2323 7.943 0.000 0.806 0.7074 1.8028 DENSITY 0.86600E-01 0.4063E-01 2.132 0.040 0.343 0.3064 0.5011 LANDAREA -2.3702 1.580 -1.500 0.143-0.249 -0.1873 -0.9293 CONSTANT 4116.2 767.2 5.365 0.000 0.677 0.0000 7.4634 |_ols BUSTRAVL FARE INCOME POP DENSITY /weight=wt REQUIRED MEMORY IS PAR= 7 CURRENT PAR= 2000 OLS ESTIMATION 40 OBSERVATIONS DEPENDENT VARIABLE= BUSTRAVL ...NOTE..SAMPLE RANGE SET TO: 1, 40 SUM OF LOG(SQRT(ABS(WEIGHT))) = -40.834 R-SQUARE = 0.9414 R-SQUARE ADJUSTED = 0.9347 VARIANCE OF THE ESTIMATE-SIGMA**2 = 48150. STANDARD ERROR OF THE ESTIMATE-SIGMA = 219.43 SUM OF SQUARED ERRORS-SSE= 0.16853E+07 MEAN OF DEPENDENT VARIABLE = 551.52 LOG OF THE LIKELIHOOD FUNCTION = -310.562 VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICITY NAME COEFFICIENT ERROR 35 DF P-VALUE CORR. COEFFICIENT AT MEANS FARE -417.21 251.0 -1.662 0.105-0.270 -0.1077 -1.0674 INCOME -0.25640 0.4445E-01 -5.768 0.000-0.698 -0.2527 -7.9611 POP 1.5672 0.1427 10.98 0.000 0.880 0.6009 1.5314 DENSITY 0.13789 0.2233E-01 6.174 0.000 0.722 0.4878 0.7978 CONSTANT 4246.4 775.8 5.474 0.000 0.679 0.0000 7.6993 |_ols BUSTRAVL INCOME POP DENSITY /weight=wt REQUIRED MEMORY IS PAR= 7 CURRENT PAR= 2000 OLS ESTIMATION 40 OBSERVATIONS DEPENDENT VARIABLE= BUSTRAVL ...NOTE..SAMPLE RANGE SET TO: 1, 40 SUM OF LOG(SQRT(ABS(WEIGHT))) = -40.834 R-SQUARE = 0.9367 R-SQUARE ADJUSTED = 0.9315 VARIANCE OF THE ESTIMATE-SIGMA**2 = 50507. STANDARD ERROR OF THE ESTIMATE-SIGMA = 224.74 SUM OF SQUARED ERRORS-SSE= 0.18182E+07 MEAN OF DEPENDENT VARIABLE = 551.52 LOG OF THE LIKELIHOOD FUNCTION = -312.081 VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICITY NAME COEFFICIENT ERROR 36 DF P-VALUE CORR. COEFFICIENT AT MEANS INCOME -0.26993 0.4475E-01 -6.032 0.000-0.709 -0.2661 -8.3814 POP 1.4567 0.1294 11.26 0.000 0.883 0.5585 1.4235 DENSITY 0.16651 0.1457E-01 11.43 0.000 0.885 0.5891 0.9634 CONSTANT 3857.6 757.6 5.092 0.000 0.647 0.0000 6.9945 ******************************************************************************** Welcome to SHAZAM - Version 9.0 - DEC 2003 SYSTEM=WIN-XP PAR= 2000 CURRENT WORKING DIRECTORY IS: C:\ECONOM~1\Berndt |_file path C:\esl\user\ |_read (data7-18) pop educexp recexp policexp vcrime othrcrim unemprt city inland central south UNIT 88 IS NOW ASSIGNED TO: C:\esl\user\data7-18 ...SAMPLE RANGE IS NOW SET TO: 1 58 |_ols pop educexp recexp policexp vcrime othrcrim unemprt city inland central south /resid=uhat REQUIRED MEMORY IS PAR= 13 CURRENT PAR= 2000 OLS ESTIMATION 58 OBSERVATIONS DEPENDENT VARIABLE= POP ...NOTE..SAMPLE RANGE SET TO: 1, 58 R-SQUARE = 0.6990 R-SQUARE ADJUSTED = 0.6350 VARIANCE OF THE ESTIMATE-SIGMA**2 = 0.60463E+06 STANDARD ERROR OF THE ESTIMATE-SIGMA = 777.58 SUM OF SQUARED ERRORS-SSE= 0.28417E+08 MEAN OF DEPENDENT VARIABLE = 541.91 LOG OF THE LIKELIHOOD FUNCTION = -462.258 VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICITY NAME COEFFICIENT ERROR 47 DF P-VALUE CORR. COEFFICIENT AT MEANS EDUCEXP 0.21186 0.3182 0.6658 0.509 0.097 0.1357 1.7898 RECEXP 1.3084 0.2449 5.343 0.000 0.615 0.5493 1.2126 POLICEXP -0.21451E-01 3.435 -0.6246E-02 0.995-0.001 -0.0014 -0.0058 VCRIME 0.79521 0.4154 1.914 0.062 0.269 0.2042 1.0009 OTHRCRIM -0.78122E-01 0.7451E-01 -1.049 0.300-0.151 -0.1317 -0.6955 UNEMPRT 5.4639 35.86 0.1524 0.880 0.022 0.0161 0.1070 CITY 578.15 293.5 1.970 0.055 0.276 0.2096 0.3311 INLAND 463.24 315.1 1.470 0.148 0.210 0.1590 0.6337 CENTRAL -8.5670 243.3 -0.3522E-01 0.972-0.005 -0.0031 -0.0046 SOUTH 1404.1 393.6 3.568 0.001 0.462 0.3585 0.3127 CONSTANT -1995.3 1150. -1.736 0.089-0.245 0.0000 -3.6820 |_diag /het REQUIRED MEMORY IS PAR= 88 CURRENT PAR= 2000 DEPENDENT VARIABLE = POP 58 OBSERVATIONS REGRESSION COEFFICIENTS 0.211860701687 1.30836165173 -0.214511302070E-01 0.795208825928 -0.781224798002E-01 5.46394688682 578.152314225 463.236836576 -8.56703243330 1404.11385136 -1995.29799379 HETEROSKEDASTICITY TESTS CHI-SQUARE D.F. P-VALUE TEST STATISTIC E**2 ON YHAT: 38.606 1 0.00000 E**2 ON YHAT**2: 49.067 1 0.00000 E**2 ON LOG(YHAT**2): 7.327 1 0.00679 E**2 ON LAG(E**2) ARCH TEST: 0.239 1 0.62469 LOG(E**2) ON X (HARVEY) TEST: 22.153 10 0.01434 ABS(E) ON X (GLEJSER) TEST: 74.535 10 0.00000 E**2 ON X TEST: KOENKER(R2): 49.742 10 0.00000 B-P-G (SSR) : 238.833 10 0.00000 ...MATRIX INVERSION FAILED IN ROW 18 ...RESULTS MAY BE UNRELIABLE E**2 ON X X**2 (WHITE) TEST: KOENKER(R2): ********** 20 ********* B-P-G (SSR) : ********** 20 ********* ...MATRIX INVERSION FAILED IN ROW 18 ...RESULTS MAY BE UNRELIABLE E**2 ON X X**2 XX (WHITE) TEST: KOENKER(R2): ********** 65 ********* B-P-G (SSR) : ********** 65 ********* |_ols pop educexp recexp policexp vcrime othrcrim unemprt city inland central south /hetcov REQUIRED MEMORY IS PAR= 13 CURRENT PAR= 2000 OLS ESTIMATION 58 OBSERVATIONS DEPENDENT VARIABLE= POP ...NOTE..SAMPLE RANGE SET TO: 1, 58 USING HETEROSKEDASTICITY-CONSISTENT COVARIANCE MATRIX R-SQUARE = 0.6990 R-SQUARE ADJUSTED = 0.6350 VARIANCE OF THE ESTIMATE-SIGMA**2 = 0.60463E+06 STANDARD ERROR OF THE ESTIMATE-SIGMA = 777.58 SUM OF SQUARED ERRORS-SSE= 0.28417E+08 MEAN OF DEPENDENT VARIABLE = 541.91 LOG OF THE LIKELIHOOD FUNCTION = -462.258 VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICITY NAME COEFFICIENT ERROR 47 DF P-VALUE CORR. COEFFICIENT AT MEANS EDUCEXP 0.21186 0.1352 1.566 0.124 0.223 0.1357 1.7898 RECEXP 1.3084 0.5892 2.220 0.031 0.308 0.5493 1.2126 POLICEXP -0.21451E-01 1.805 -0.1189E-01 0.991-0.002 -0.0014 -0.0058 VCRIME 0.79521 0.4667 1.704 0.095 0.241 0.2042 1.0009 OTHRCRIM -0.78122E-01 0.5438E-01 -1.437 0.157-0.205 -0.1317 -0.6955 UNEMPRT 5.4639 40.10 0.1363 0.892 0.020 0.0161 0.1070 CITY 578.15 206.9 2.794 0.008 0.377 0.2096 0.3311 INLAND 463.24 299.7 1.546 0.129 0.220 0.1590 0.6337 CENTRAL -8.5670 195.5 -0.4382E-01 0.965-0.006 -0.0031 -0.0046 SOUTH 1404.1 552.3 2.543 0.014 0.348 0.3585 0.3127 CONSTANT -1995.3 981.5 -2.033 0.048-0.284 0.0000 -3.6820 |_genr lnu2=log(uhat**2) |_?ols lnu2 educexp recexp policexp vcrime othrcrim unemprt city inland central south /pred=lnuhat |_genr absu = abs(uhat) |_gen1 lm = $n*$r2 ..NOTE..CURRENT VALUE OF $N = 58.000 ..NOTE..CURRENT VALUE OF $R2 = 0.22311 |_distrib lm /type=chi df=10 CHI-SQUARE PARAMETERS- DF= 10.000 MEAN= 10.000 VARIANCE= 20.000 MODE= 8.0000 DATA PDF CDF 1-CDF LM ROW 1 12.940 0.56554E-01 0.77297 0.22703 |_?ols absu educexp recexp policexp vcrime othrcrim unemprt city inland central south /pred=absuhat |_gen1 lm = $n*$r2 ..NOTE..CURRENT VALUE OF $N = 58.000 ..NOTE..CURRENT VALUE OF $R2 = 0.74834 |_distrib lm /type=chi df=10 CHI-SQUARE PARAMETERS- DF= 10.000 MEAN= 10.000 VARIANCE= 20.000 MODE= 8.0000 DATA PDF CDF 1-CDF LM ROW 1 43.404 0.17369E-05 1.0000 0.42110E-05 |_stat absuhat NAME N MEAN ST. DEV VARIANCE MINIMUM MAXIMUM ABSUHAT 58 429.20 482.51 0.23281E+06 26.229 3117.9 |_genr wt=1/absuhat**2 |_ols pop educexp recexp policexp vcrime othrcrim unemprt city inland central south /weight=wt REQUIRED MEMORY IS PAR= 16 CURRENT PAR= 2000 OLS ESTIMATION 58 OBSERVATIONS DEPENDENT VARIABLE= POP ...NOTE..SAMPLE RANGE SET TO: 1, 58 SUM OF LOG(SQRT(ABS(WEIGHT))) = -50.156 R-SQUARE = 0.8078 R-SQUARE ADJUSTED = 0.7669 VARIANCE OF THE ESTIMATE-SIGMA**2 = 17341. STANDARD ERROR OF THE ESTIMATE-SIGMA = 131.68 SUM OF SQUARED ERRORS-SSE= 0.81501E+06 MEAN OF DEPENDENT VARIABLE = 135.26 LOG OF THE LIKELIHOOD FUNCTION = -409.419 VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICITY NAME COEFFICIENT ERROR 47 DF P-VALUE CORR. COEFFICIENT AT MEANS EDUCEXP 0.12783 0.8548E-01 1.495 0.141 0.213 0.2690 4.4066 RECEXP 0.35792 0.1822 1.964 0.055 0.275 0.2813 0.4815 POLICEXP -1.8671 1.066 -1.752 0.086-0.248 -0.3589 -1.6735 VCRIME -0.88798E-01 0.1654 -0.5369 0.594-0.078 -0.0535 -0.3564 OTHRCRIM 0.37844E-01 0.2115E-01 1.789 0.080 0.253 0.3113 1.1278 UNEMPRT -24.477 16.98 -1.442 0.156-0.206 -0.1947 -1.9440 CITY 659.68 84.62 7.796 0.000 0.751 0.6889 0.4260 INLAND 260.87 88.93 2.933 0.005 0.393 0.4217 1.4328 CENTRAL 123.08 80.42 1.530 0.133 0.218 0.1326 0.0852 SOUTH 316.15 169.6 1.864 0.069 0.262 0.1583 0.0436 CONSTANT -409.77 349.0 -1.174 0.246-0.169 0.0000 -3.0296 |_ols pop recexp city inland /weight=wt REQUIRED MEMORY IS PAR= 12 CURRENT PAR= 2000 OLS ESTIMATION 58 OBSERVATIONS DEPENDENT VARIABLE= POP ...NOTE..SAMPLE RANGE SET TO: 1, 58 SUM OF LOG(SQRT(ABS(WEIGHT))) = -50.156 R-SQUARE = 0.7776 R-SQUARE ADJUSTED = 0.7653 VARIANCE OF THE ESTIMATE-SIGMA**2 = 17458. STANDARD ERROR OF THE ESTIMATE-SIGMA = 132.13 SUM OF SQUARED ERRORS-SSE= 0.94273E+06 MEAN OF DEPENDENT VARIABLE = 135.26 LOG OF THE LIKELIHOOD FUNCTION = -413.641 VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICITY NAME COEFFICIENT ERROR 54 DF P-VALUE CORR. COEFFICIENT AT MEANS RECEXP 0.44240 0.1134 3.902 0.000 0.469 0.3477 0.5952 CITY 736.08 63.98 11.51 0.000 0.843 0.7687 0.4754 INLAND 102.63 53.57 1.916 0.061 0.252 0.1659 0.5637 CONSTANT -85.784 57.59 -1.490 0.142-0.199 0.0000 -0.6342 Updated February 12, 2008