EXHIBIT B
|_*------*_|
|_* Stylized data on fish as household pets (99 quarterly observations *_|
|_* 1968:1 to 1992:3 *_|
|_* petfish = number of households per thousand who keep fish as pets *_|
|_* home = percent of hhlds with at least one person at home during day *_|
|_* price = price of guppies, goldfish as a proxy for price of pet fish *_|
|_*------*_|
|_sample 1 99
|_read(petfish.dat) petfish home price
|_genr year=1968+(time(0)/4)
|_stat / pcor
NAME N MEAN ST. DEV VARIANCE MINIMUM MAXIMUM
PETFISH 99 86.057 9.0935 82.692 63.565 103.57
HOME 99 54.026 1.7712 3.1371 50.031 57.623
PRICE 99 58.827 7.0859 50.210 46.939 72.000
YEAR 99 1980.5 7.1807 51.563 1968.3 1992.8
CORRELATION MATRIX OF VARIABLES - 99 OBSERVATIONS
PETFISH 1.0000
HOME 0.28811 1.0000
PRICE -0.25743 0.26103 1.0000
YEAR 0.28097 -0.18905 -0.94618 1.0000
PETFISH HOME PRICE YEAR
REGRESSION B1
|_olspetfish home price / auxrsqrnoanovaexactdwresid=e predict=fitols
REQUIRED MEMORY IS PAR= 86 CURRENT PAR= 500
OLS ESTIMATION
99 OBSERVATIONS DEPENDENT VARIABLE = PETFISH
...NOTE..SAMPLE RANGE SET TO: 1, 99
DURBIN-WATSON STATISTIC = 0.17784
DURBIN-WATSON PROBABILITY = 0.000000
R-SQUARE OF HOME ON OTHER INDEPENDENT VARIABLES = 0.0681
R-SQUARE OF PRICE ON OTHER INDEPENDENT VARIABLES = 0.0681
R-SQUARE OF CONSTANT ON OTHER INDEPENDENT VARIABLES = 0.0000
R-SQUARE = 0.2017 R-SQUARE ADJUSTED = 0.1851
VARIANCE OF THE ESTIMATE-SIGMA**2 = 67.384
STANDARD ERROR OF THE ESTIMATE-SIGMA = 8.2088
SUM OF SQUARED ERRORS-SSE= 6468.9
MEAN OF DEPENDENT VARIABLE = 86.057
LOG OF THE LIKELIHOOD FUNCTION = -347.367
VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICTY
NAME COEFFICIENT ERROR 96 DF P-VALUE CORR. COEFFICIENT AT MEANS
HOME 1.9576 0.4850 4.036 1.000 0.381 0.3813 1.2290
PRICE -0.45810 0.1212 -3.779 0.000-0.360 -0.3570 -0.3131
CONSTANT 7.2439 25.31 0.2862 0.612 0.029 0.0000 0.0842
|_genr e2=e*e
REGRESSION B2
|_ols e2 home price / auxrsqrnoanova
REQUIRED MEMORY IS PAR= 10 CURRENT PAR= 500
OLS ESTIMATION
99 OBSERVATIONS DEPENDENT VARIABLE = E2
...NOTE..SAMPLE RANGE SET TO: 1, 99
R-SQUARE OF HOME ON OTHER INDEPENDENT VARIABLES = 0.0681
R-SQUARE OF PRICE ON OTHER INDEPENDENT VARIABLES = 0.0681
R-SQUARE OF CONSTANT ON OTHER INDEPENDENT VARIABLES = 0.0000
R-SQUARE = 0.0252 R-SQUARE ADJUSTED = 0.0049
VARIANCE OF THE ESTIMATE-SIGMA**2 = 6367.4
STANDARD ERROR OF THE ESTIMATE-SIGMA = 79.796
SUM OF SQUARED ERRORS-SSE= 0.61128E+06
MEAN OF DEPENDENT VARIABLE = 65.342
LOG OF THE LIKELIHOOD FUNCTION = -572.520
VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICTY
NAME COEFFICIENT ERROR 96 DF P-VALUE CORR. COEFFICIENT AT MEANS
HOME -5.1860 4.714 -1.100 0.137-0.112 -0.1148 -4.2879
PRICE 1.6218 1.178 1.376 0.914 0.139 0.1437 1.4601
CONSTANT 250.12 246.0 1.017 0.844 0.103 0.0000 3.8278
|_genr e1=lag(e,1)
..NOTE.LAG VALUE IN UNDEFINED OBSERVATIONS SET TO ZERO
|_genr e2=lag(e,2)
..NOTE.LAG VALUE IN UNDEFINED OBSERVATIONS SET TO ZERO
|_genr e3=lag(e,3)
..NOTE.LAG VALUE IN UNDEFINED OBSERVATIONS SET TO ZERO
|_genr e4=lag(e,4)
..NOTE.LAG VALUE IN UNDEFINED OBSERVATIONS SET TO ZERO
|_sample 5 99
REGRESSION B3
|_ols e e1 e2 e3 e4 / auxrsqrnoanova
REQUIRED MEMORY IS PAR= 14 CURRENT PAR= 500
OLS ESTIMATION
95 OBSERVATIONS DEPENDENT VARIABLE = E
...NOTE..SAMPLE RANGE SET TO: 5, 99
R-SQUARE OF E1 ON OTHER INDEPENDENT VARIABLES = 0.8305
R-SQUARE OF E2 ON OTHER INDEPENDENT VARIABLES = 0.9116
R-SQUARE OF E3 ON OTHER INDEPENDENT VARIABLES = 0.9128
R-SQUARE OF E4 ON OTHER INDEPENDENT VARIABLES = 0.8318
R-SQUARE OF CONSTANT ON OTHER INDEPENDENT VARIABLES = 0.0000
R-SQUARE = 0.8376 R-SQUARE ADJUSTED = 0.8304
VARIANCE OF THE ESTIMATE-SIGMA**2 = 11.162
STANDARD ERROR OF THE ESTIMATE-SIGMA = 3.3410
SUM OF SQUARED ERRORS-SSE= 1004.6
MEAN OF DEPENDENT VARIABLE = -0.31556
LOG OF THE LIKELIHOOD FUNCTION = -246.825
VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICTY
NAME COEFFICIENT ERROR 90 DF P-VALUE CORR. COEFFICIENT AT MEANS
E1 0.94800 0.1031 9.194 1.000 0.696 0.9488 0.7881
E2 -0.19885E-01 0.1413 -0.1407 0.444-0.015 -0.0201 -0.0089
E3 -0.16693E-01 0.1410 -0.1184 0.453-0.012 -0.0170 -0.0031
E4 -0.17305E-02 0.1014 -0.1707E-01 0.493-0.002 -0.0018 -0.0001
CONSTANT -0.70688E-01 0.3432 -0.2060 0.419-0.022 0.0000 0.2240
|_sample 2 99
REGRESSION B4
|_auto petfish home price / predict=fitautonoanova
REQUIRED MEMORY IS PAR= 15 CURRENT PAR= 500
DEPENDENT VARIABLE = PETFISH
..NOTE..R-SQUARE,ANOVA,RESIDUALS DONE ON ORIGINAL VARS
LEAST SQUARES ESTIMATION 98 OBSERVATIONS
BY COCHRANE-ORCUTT TYPE PROCEDURE WITH CONVERGENCE = 0.00100
ITERATION RHO LOG L.F. SSE
1 0.00000 -344.165 6443.8
2 0.90319 -248.008 889.99
3 0.94588 -247.344 873.02
4 0.94974 -247.371 872.86
LOG L.F. = -247.374 AT RHO = 0.95003
ASYMPTOTIC ASYMPTOTIC ASYMPTOTIC
ESTIMATE VARIANCE ST.ERROR T-RATIO
RHO 0.95003 0.00099 0.03153 30.12935
R-SQUARE = 0.8921 R-SQUARE ADJUSTED = 0.8899
VARIANCE OF THE ESTIMATE-SIGMA**2 = 9.1880
STANDARD ERROR OF THE ESTIMATE-SIGMA = 3.0312
SUM OF SQUARED ERRORS-SSE= 872.86
MEAN OF DEPENDENT VARIABLE = 86.093
LOG OF THE LIKELIHOOD FUNCTION = -247.374
VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICTY
NAME COEFFICIENT ERROR 95 DF P-VALUE CORR. COEFFICIENT AT MEANS
HOME 0.82179 0.3572 2.301 0.988 0.230 0.1595 0.5159
PRICE 0.26696 0.2212 1.207 0.885 0.123 0.2053 0.1821
CONSTANT 26.280 24.54 1.071 0.857 0.109 0.0000 0.3053
|_genr home1=lag(home)
|_genr price1=lag(price)
|_stat home home1 price price1 / pcor
NAME N MEAN ST. DEV VARIANCE MINIMUM MAXIMUM
HOME 98 54.042 1.7728 3.1427 50.031 57.623
HOME1 98 54.055 1.7571 3.0874 50.031 57.623
PRICE 98 58.710 7.0252 49.354 46.939 72.000
PRICE1 98 58.945 7.0249 49.349 46.939 72.000
CORRELATION MATRIX OF VARIABLES - 98 OBSERVATIONS
HOME 1.0000
HOME1 0.87540 1.0000
PRICE 0.28115 0.25601 1.0000
PRICE1 0.27664 0.24089 0.98239 1.0000
HOME HOME1 PRICE PRICE1
REGRESSION B5
|_auto petfish home home1 price price1 / noanova
DEPENDENT VARIABLE = PETFISH
..NOTE..R-SQUARE,ANOVA,RESIDUALS DONE ON ORIGINAL VARS
LEAST SQUARES ESTIMATION 98 OBSERVATIONS
BY COCHRANE-ORCUTT TYPE PROCEDURE WITH CONVERGENCE = 0.00100
ITERATION RHO LOG L.F. SSE
1 0.00000 -341.192 6064.4
2 0.89840 -245.464 845.36
3 0.93639 -245.033 834.14
4 0.93774 -245.041 834.10
5 0.93778 -245.042 834.10
LOG L.F. = -245.042 AT RHO = 0.93778
ASYMPTOTIC ASYMPTOTIC ASYMPTOTIC
ESTIMATE VARIANCE ST.ERROR T-RATIO
RHO 0.93778 0.00123 0.03508 26.73638
R-SQUARE = 0.8969 R-SQUARE ADJUSTED = 0.8925
VARIANCE OF THE ESTIMATE-SIGMA**2 = 8.9688
STANDARD ERROR OF THE ESTIMATE-SIGMA = 2.9948
SUM OF SQUARED ERRORS-SSE= 834.10
MEAN OF DEPENDENT VARIABLE = 86.093
LOG OF THE LIKELIHOOD FUNCTION = -245.042
VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICTY
NAME COEFFICIENT ERROR 93 DF P-VALUE CORR. COEFFICIENT AT MEANS
HOME 0.85134 0.3543 2.403 0.991 0.242 0.1652 0.5344
HOME1 -0.36913E-01 0.3599 -0.1026 0.459-0.011 -0.0071 -0.0232
PRICE 0.29479 0.2174 1.356 0.911 0.139 0.2268 0.2010
PRICE1 -0.45778 0.2171 -2.109 0.019-0.214 -0.3521 -0.3134
CONSTANT 52.014 31.79 1.636 0.947 0.167 0.0000 0.6042
|_test
|_test home1=0
|_test price1=0
|_end
F STATISTIC = 2.2316429 WITH 2 AND 93 D.F. P-VALUE= 0.11307
WALD CHI-SQUARE STATISTIC = 4.4632859 WITH 2 D.F. P-VALUE= 0.10735
UPPER BOUND ON P-VALUE BY CHEBYCHEV INEQUALITY = 0.44810