Welcome to SHAZAM - Version 9.0 - DEC 2003 SYSTEM=WIN-XP PAR= 2000 CURRENT WORKING DIRECTORY IS: C:\ECONOM~1\Berndt |_** Exercise 8.25 |_file path c:\esl\user\ |_read (data8-2) exptrav income pop UNIT 88 IS NOW ASSIGNED TO: c:\esl\user\data8-2 ...SAMPLE RANGE IS NOW SET TO: 1 51 |_ols exptrav income /resid=u REQUIRED MEMORY IS PAR= 4 CURRENT PAR= 2000 OLS ESTIMATION 51 OBSERVATIONS DEPENDENT VARIABLE= EXPTRAV ...NOTE..SAMPLE RANGE SET TO: 1, 51 R-SQUARE = 0.8532 R-SQUARE ADJUSTED = 0.8502 VARIANCE OF THE ESTIMATE-SIGMA**2 = 8.5125 STANDARD ERROR OF THE ESTIMATE-SIGMA = 2.9176 SUM OF SQUARED ERRORS-SSE= 417.11 MEAN OF DEPENDENT VARIABLE = 6.3407 LOG OF THE LIKELIHOOD FUNCTION = -125.955 VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICITY NAME COEFFICIENT ERROR 49 DF P-VALUE CORR. COEFFICIENT AT MEANS INCOME 0.55573E-01 0.3293E-02 16.88 0.000 0.924 0.9237 0.9214 CONSTANT 0.49812 0.5355 0.9302 0.357 0.132 0.0000 0.0786 |_diag /het REQUIRED MEMORY IS PAR= 9 CURRENT PAR= 2000 DEPENDENT VARIABLE = EXPTRAV 51 OBSERVATIONS REGRESSION COEFFICIENTS 0.555731064723E-01 0.498119955230 HETEROSKEDASTICITY TESTS CHI-SQUARE D.F. P-VALUE TEST STATISTIC E**2 ON YHAT: 3.839 1 0.05009 E**2 ON YHAT**2: 2.039 1 0.15336 E**2 ON LOG(YHAT**2): 3.254 1 0.07123 E**2 ON LAG(E**2) ARCH TEST: 0.042 1 0.83792 LOG(E**2) ON X (HARVEY) TEST: 16.123 1 0.00006 ABS(E) ON X (GLEJSER) TEST: 18.014 1 0.00002 E**2 ON X TEST: KOENKER(R2): 3.839 1 0.05009 B-P-G (SSR) : 19.020 1 0.00001 E**2 ON X X**2 (WHITE) TEST: KOENKER(R2): 4.877 2 0.08730 B-P-G (SSR) : 24.164 2 0.00001 |_genr usq=u**2 |_genr sqpop=pop**2 |_ols usq pop sqpop /predict=usqhat REQUIRED MEMORY IS PAR= 6 CURRENT PAR= 2000 OLS ESTIMATION 51 OBSERVATIONS DEPENDENT VARIABLE= USQ ...NOTE..SAMPLE RANGE SET TO: 1, 51 R-SQUARE = 0.0912 R-SQUARE ADJUSTED = 0.0534 VARIANCE OF THE ESTIMATE-SIGMA**2 = 640.05 STANDARD ERROR OF THE ESTIMATE-SIGMA = 25.299 SUM OF SQUARED ERRORS-SSE= 30722. MEAN OF DEPENDENT VARIABLE = 8.1786 LOG OF THE LIKELIHOOD FUNCTION = -235.589 VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICITY NAME COEFFICIENT ERROR 48 DF P-VALUE CORR. COEFFICIENT AT MEANS POP 2.6484 1.613 1.642 0.107 0.231 0.5762 1.6368 SQPOP -0.57395E-01 0.6110E-01 -0.9393 0.352-0.134 -0.3296 -0.3995 CONSTANT -1.9408 6.240 -0.3110 0.757-0.045 0.0000 -0.2373 |_gen1 test = $n*$r2 ..NOTE..CURRENT VALUE OF $N = 51.000 ..NOTE..CURRENT VALUE OF $R2 = 0.91235E-01 |_print test TEST 4.652982 |_distrib test /type=chi df=2 CHI-SQUARE PARAMETERS- DF= 2.0000 MEAN= 2.0000 VARIANCE= 4.0000 MODE= 0.0000 DATA PDF CDF 1-CDF TEST ROW 1 4.6530 0.48819E-01 0.90236 0.97638E-01 |_genr wt = 1/usqhat |_print wt WT -1.410993 -2.302279 -2.344084 -2.648519 -3.609512 -8.321801 -13.52162 4.066265 1.537933 1.107405 1.037871 0.9352577 0.7968204 0.6212362 0.4583436 0.4567965 0.3725330 0.3588483 0.2411693 0.2270609 0.2150074 0.1970974 0.1795826 0.1660681 0.1632923 0.1477296 0.1445783 0.1373414 0.1313376 0.1230175 0.1195513 0.1127909 0.1022580 0.1004260 0.9939462E-01 0.9661141E-01 0.9615522E-01 0.8847693E-01 0.8390146E-01 0.7813981E-01 0.7350552E-01 0.7300824E-01 0.6523931E-01 0.5562704E-01 0.4918517E-01 0.4723528E-01 0.4626754E-01 0.4237645E-01 0.3683571E-01 0.3673429E-01 0.4031680E-01 |_ols exptrav income /weight=wt REQUIRED MEMORY IS PAR= 6 CURRENT PAR= 2000 OLS ESTIMATION 51 OBSERVATIONS DEPENDENT VARIABLE= EXPTRAV ...NOTE..SAMPLE RANGE SET TO: 1, 51 SUM OF LOG(SQRT(ABS(WEIGHT))) = -10.040 R-SQUARE = 0.0000 R-SQUARE ADJUSTED = -0.0204 VARIANCE OF THE ESTIMATE-SIGMA**2 = 6.0042 STANDARD ERROR OF THE ESTIMATE-SIGMA = 2.4503 SUM OF SQUARED ERRORS-SSE= 294.21 MEAN OF DEPENDENT VARIABLE = -0.72056 LOG OF THE LIKELIHOOD FUNCTION = -127.093 VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICITY NAME COEFFICIENT ERROR 49 DF P-VALUE CORR. COEFFICIENT AT MEANS INCOME 0.56761E-01 0.6181E-02 9.183 0.000 0.795 0.8042 0.7117 CONSTANT 0.46914 0.2507 1.871 0.067 0.258 0.0000 -0.6511 |_* Correct for negative weights |_* Replace negative usqhat with usq |_if (usqhat .le. 0.0001) wt=1/usq |_ols exptrav income /weight=wt REQUIRED MEMORY IS PAR= 6 CURRENT PAR= 2000 OLS ESTIMATION 51 OBSERVATIONS DEPENDENT VARIABLE= EXPTRAV ...NOTE..SAMPLE RANGE SET TO: 1, 51 SUM OF LOG(SQRT(ABS(WEIGHT))) = -72.426 R-SQUARE = 0.6587 R-SQUARE ADJUSTED = 0.6518 VARIANCE OF THE ESTIMATE-SIGMA**2 = 0.42380 STANDARD ERROR OF THE ESTIMATE-SIGMA = 0.65100 SUM OF SQUARED ERRORS-SSE= 20.766 MEAN OF DEPENDENT VARIABLE = 1.1785 LOG OF THE LIKELIHOOD FUNCTION = -121.880 VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICITY NAME COEFFICIENT ERROR 49 DF P-VALUE CORR. COEFFICIENT AT MEANS INCOME 0.56366E-01 0.5796E-02 9.726 0.000 0.812 0.8116 0.6185 CONSTANT 0.44964 0.1180 3.810 0.000 0.478 0.0000 0.3815 |_* Alternatively, drop the bad observations |_skipif (wt .eq. 1/usq) OBSERVATION 1 WILL BE SKIPPED OBSERVATION 2 WILL BE SKIPPED OBSERVATION 3 WILL BE SKIPPED OBSERVATION 4 WILL BE SKIPPED OBSERVATION 5 WILL BE SKIPPED OBSERVATION 6 WILL BE SKIPPED OBSERVATION 7 WILL BE SKIPPED |_ols exptrav income /weight=wt REQUIRED MEMORY IS PAR= 6 CURRENT PAR= 2000 OLS ESTIMATION 44 OBSERVATIONS DEPENDENT VARIABLE= EXPTRAV ...NOTE..SAMPLE RANGE SET TO: 1, 51 SUM OF LOG(SQRT(ABS(WEIGHT))) = -16.860 R-SQUARE = 0.5992 R-SQUARE ADJUSTED = 0.5896 VARIANCE OF THE ESTIMATE-SIGMA**2 = 6.3985 STANDARD ERROR OF THE ESTIMATE-SIGMA = 2.5295 SUM OF SQUARED ERRORS-SSE= 268.74 MEAN OF DEPENDENT VARIABLE = 3.1919 LOG OF THE LIKELIHOOD FUNCTION = -119.104 VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICITY NAME COEFFICIENT ERROR 42 DF P-VALUE CORR. COEFFICIENT AT MEANS INCOME 0.53046E-01 0.6695E-02 7.923 0.000 0.774 0.7740 0.6760 CONSTANT 1.0341 0.4686 2.207 0.033 0.322 0.0000 0.3240 |_stop Updated February 13, 2007