UNIVERSITY OF CALIFORNIA, LOS ANGELES
Department of Policy Studies
Policy Studies 208 (Cameron) - Policy Research and Analysis
Midterm Exhibits
|_sample 1 19
|_read(drycl.dat) spills insp pen age medinc
|_* Descriptive Statistics
|_stat / pcor
NAME N MEAN ST. DEV VARIANCE MINIMUM MAXIMUM
SPILLS 19 3.0625 1.7016 2.8956 0.00000 6.4608
INSP 19 5.3947 2.7314 7.4605 1.0000 10.000
PEN 19 11.842 5.8239 33.918 5.0000 20.000
AGE 19 5.7895 2.9170 8.5088 1.0000 11.000
MEDINC 19 47.797 7.1028 50.449 32.410 58.110
CORRELATION MATRIX OF VARIABLES - 19 OBSERVATIONS
SPILLS 1.0000
INSP 0.17284 1.0000
PEN -0.64344 -0.71181 1.0000
AGE 0.12972 -0.69178E-01 0.40448E-01 1.0000
MEDINC 0.40735E-01 0.45574E-01 -0.79853E-01 -0.11612E-01 1.0000
SPILLS INSP PEN AGE MEDINC
|_* Regression 1
|_ols age spills insp pen medinc
R-SQUARE = 0.0466 R-SQUARE ADJUSTED = -0.2258
VARIANCE OF THE ESTIMATE-SIGMA**2 = 10.430
STANDARD ERROR OF THE ESTIMATE-SIGMA = 3.2296
SUM OF SQUARED ERRORS-SSE= 146.02
MEAN OF DEPENDENT VARIABLE = 5.7895
LOG OF THE LIKELIHOOD FUNCTION = -46.3335
ANALYSIS OF VARIANCE - FROM MEAN
SS DF MS F
REGRESSION 7.1344 4. 1.7836 0.171
ERROR 146.02 14. 10.430 P-VALUE
TOTAL 153.16 18. 8.5088 0.950
VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICITY
NAME COEFFICIENT ERROR 14 DF P-VALUE CORR. COEFFICIENT AT MEANS
SPILLS 0.53865 0.6896 0.7811 0.448 0.204 0.3142 0.2849
INSP 0.10646 0.4682 0.2274 0.823 0.061 0.0997 0.0992
PEN 0.15691 0.2830 0.5544 0.588 0.147 0.3133 0.3209
MEDINC -0.16175E-02 0.1076 -0.1504E-01 0.988-0.004 -0.0039 -0.0134
CONSTANT 1.7848 9.076 0.1967 0.847 0.052 0.0000 0.3083
|_* Regression 2
|_ols spills insp
R-SQUARE = 0.0299 R-SQUARE ADJUSTED = -0.0272
VARIANCE OF THE ESTIMATE-SIGMA**2 = 2.9743
STANDARD ERROR OF THE ESTIMATE-SIGMA = 1.7246
SUM OF SQUARED ERRORS-SSE= 50.564
MEAN OF DEPENDENT VARIABLE = 3.0625
LOG OF THE LIKELIHOOD FUNCTION = -36.2584
ANALYSIS OF VARIANCE - FROM MEAN
SS DF MS F
REGRESSION 1.5570 1. 1.5570 0.523
ERROR 50.564 17. 2.9743 P-VALUE
TOTAL 52.121 18. 2.8956 0.479
VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICITY
NAME COEFFICIENT ERROR 17 DF P-VALUE CORR. COEFFICIENT AT MEANS
INSP 0.10768 0.1488 0.7235 0.479 0.173 0.1728 0.1897
CONSTANT 2.4816 0.8951 2.772 0.013 0.558 0.0000 0.8103
|_* Regression 3
|_ols spills pen
R-SQUARE = 0.4140 R-SQUARE ADJUSTED = 0.3796
VARIANCE OF THE ESTIMATE-SIGMA**2 = 1.7966
STANDARD ERROR OF THE ESTIMATE-SIGMA = 1.3404
SUM OF SQUARED ERRORS-SSE= 30.542
MEAN OF DEPENDENT VARIABLE = 3.0625
LOG OF THE LIKELIHOOD FUNCTION = -31.4690
ANALYSIS OF VARIANCE - FROM MEAN
SS DF MS F
REGRESSION 21.579 1. 21.579 12.011
ERROR 30.542 17. 1.7966 P-VALUE
TOTAL 52.121 18. 2.8956 0.003
VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICITY
NAME COEFFICIENT ERROR 17 DF P-VALUE CORR. COEFFICIENT AT MEANS
PEN -0.18800 0.5425E-01 -3.466 0.003-0.643 -0.6434 -0.7270
CONSTANT 5.2888 0.7122 7.426 0.000 0.874 0.0000 1.7270
|_* Regression 4
|_ols spills age
R-SQUARE = 0.0168 R-SQUARE ADJUSTED = -0.0410
VARIANCE OF THE ESTIMATE-SIGMA**2 = 3.0143
STANDARD ERROR OF THE ESTIMATE-SIGMA = 1.7362
SUM OF SQUARED ERRORS-SSE= 51.244
MEAN OF DEPENDENT VARIABLE = 3.0625
LOG OF THE LIKELIHOOD FUNCTION = -36.3853
ANALYSIS OF VARIANCE - FROM MEAN
SS DF MS F
REGRESSION 0.87703 1. 0.87703 0.291
ERROR 51.244 17. 3.0143 P-VALUE
TOTAL 52.121 18. 2.8956 0.597
VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICITY
NAME COEFFICIENT ERROR 17 DF P-VALUE CORR. COEFFICIENT AT MEANS
AGE 0.75673E-01 0.1403 0.5394 0.597 0.130 0.1297 0.1431
CONSTANT 2.6243 0.9046 2.901 0.010 0.575 0.0000 0.8569
|_* Regression 5
|_ols spills medinc
R-SQUARE = 0.0017 R-SQUARE ADJUSTED = -0.0571
VARIANCE OF THE ESTIMATE-SIGMA**2 = 3.0608
STANDARD ERROR OF THE ESTIMATE-SIGMA = 1.7495
SUM OF SQUARED ERRORS-SSE= 52.034
MEAN OF DEPENDENT VARIABLE = 3.0625
LOG OF THE LIKELIHOOD FUNCTION = -36.5307
ANALYSIS OF VARIANCE - FROM MEAN
SS DF MS F
REGRESSION 0.86484E-01 1. 0.86484E-01 0.028
ERROR 52.034 17. 3.0608 P-VALUE
TOTAL 52.121 18. 2.8956 0.868
VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICITY
NAME COEFFICIENT ERROR 17 DF P-VALUE CORR. COEFFICIENT AT MEANS
MEDINC 0.97590E-02 0.5806E-01 0.1681 0.868 0.041 0.0407 0.1523
CONSTANT 2.5960 2.804 0.9259 0.367 0.219 0.0000 0.8477
|_* Regression 6
|_ols spills insp pen age medinc / auxrsqr
R-SQUARE OF INSP ON OTHER INDEPENDENT VARIABLES = 0.5084
R-SQUARE OF PEN ON OTHER INDEPENDENT VARIABLES = 0.5090
R-SQUARE OF AGE ON OTHER INDEPENDENT VARIABLES = 0.0050
R-SQUARE OF MEDINC ON OTHER INDEPENDENT VARIABLES = 0.0067
R-SQUARE OF CONSTANT ON OTHER INDEPENDENT VARIABLES = 0.0000
R-SQUARE = 0.5967 R-SQUARE ADJUSTED = 0.4815
VARIANCE OF THE ESTIMATE-SIGMA**2 = 1.5013
STANDARD ERROR OF THE ESTIMATE-SIGMA = 1.2253
SUM OF SQUARED ERRORS-SSE= 21.018
MEAN OF DEPENDENT VARIABLE = 3.0625
LOG OF THE LIKELIHOOD FUNCTION = -27.9189
ANALYSIS OF VARIANCE - FROM MEAN
SS DF MS F
REGRESSION 31.102 4. 7.7756 5.179
ERROR 21.018 14. 1.5013 P-VALUE
TOTAL 52.121 18. 2.8956 0.009
VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICITY
NAME COEFFICIENT ERROR 14 DF P-VALUE CORR. COEFFICIENT AT MEANS
INSP -0.35358 0.1508 -2.345 0.034-0.531 -0.5675 -0.6229
PEN -0.30798 0.7077E-01 -4.352 0.001-0.758 -1.0541 -1.1909
AGE 0.77532E-01 0.9926E-01 0.7811 0.448 0.204 0.1329 0.1466
MEDINC -0.38402E-02 0.4080E-01 -0.9413E-01 0.926-0.025 -0.0160 -0.0599
CONSTANT 8.3518 2.628 3.178 0.007 0.647 0.0000 2.7271
|_test insp=pen
TEST VALUE = -0.45593E-01 STD. ERROR OF TEST VALUE 0.11217
T STATISTIC = -0.40646786 WITH 14 D.F. P-VALUE= 0.69054
F STATISTIC = 0.16521612 WITH 1 AND 14 D.F. P-VALUE= 0.69054
WALD CHI-SQUARE STATISTIC = 0.16521612 WITH 1 D.F. P-VALUE= 0.68440
UPPER BOUND ON P-VALUE BY CHEBYCHEV INEQUALITY = 1.00000
|_test insp=1000*pen
TEST VALUE = 307.63 STD. ERROR OF TEST VALUE 70.663
T STATISTIC = 4.3535128 WITH 14 D.F. P-VALUE= 0.00066
F STATISTIC = 18.953073 WITH 1 AND 14 D.F. P-VALUE= 0.00066
WALD CHI-SQUARE STATISTIC = 18.953073 WITH 1 D.F. P-VALUE= 0.00001
UPPER BOUND ON P-VALUE BY CHEBYCHEV INEQUALITY = 0.05276
|_confid age medinc
USING 95% AND 90% CONFIDENCE INTERVALS
CONFIDENCE INTERVALS BASED ON T-DISTRIBUTION WITH 14 D.F.
- T CRITICAL VALUES = 2.145 AND 1.761
NAME LOWER 2.5% LOWER 5% COEFFICIENT UPPER 5% UPPER 2.5% STD. ERROR
AGE -0.1354 -0.9726E-01 0.77532E-01 0.2523 0.2904 0.099
MEDINC -0.9135E-01 -0.7568E-01 -0.38402E-02 0.6800E-01 0.8367E-01 0.041
CONFIDENCE REGION PLOT FOR age AND medinc
USING F DISTRIBUTION WITH 2 AND 14 D.F. F-VALUE = 3.740
REQUIRED MEMORY IS PAR= 2 CURRENT PAR= 500
FOR MAXIMUM EFFICIENCY USE AT LEAST PAR= 5
205 OBSERVATIONS
M=MULTIPLE POINT
0.34737 | M
0.30526 | **M** * * **M**
0.26316 | +*MMM* *MMM +
0.22105 | MMM MMM
0.17895 | MM MM
0.13684 | M *M
0.94737E-01 |MM M
0.52632E-01 |M * MM
0.10526E-01 |MM M
-0.31579E-01 | M* MM
-0.73684E-01 | MM *MM
-0.11579 | *MM *MM
-0.15789 | + MMM* MMM* +
-0.20000 | M*** * M ******
________________________________________
-0.120 -0.060 0.000 0.060 0.120
MEDINC
|_* Regression 7
|_ols spills insp pen
R-SQUARE = 0.5789 R-SQUARE ADJUSTED = 0.5262
VARIANCE OF THE ESTIMATE-SIGMA**2 = 1.3719
STANDARD ERROR OF THE ESTIMATE-SIGMA = 1.1713
SUM OF SQUARED ERRORS-SSE= 21.950
MEAN OF DEPENDENT VARIABLE = 3.0625
LOG OF THE LIKELIHOOD FUNCTION = -28.3308
ANALYSIS OF VARIANCE - FROM MEAN
SS DF MS F
REGRESSION 30.171 2. 15.085 10.996
ERROR 21.950 16. 1.3719 P-VALUE
TOTAL 52.121 18. 2.8956 0.001
VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICITY
NAME COEFFICIENT ERROR 16 DF P-VALUE CORR. COEFFICIENT AT MEANS
INSP -0.36013 0.1439 -2.503 0.024-0.530 -0.5781 -0.6344
PEN -0.30823 0.6749E-01 -4.567 0.000-0.752 -1.0549 -1.1919
CONSTANT 8.6553 1.482 5.840 0.000 0.825 0.0000 2.8263
|_* Plots
|_plot spills / histo groups=6
GROUP COUNTS
GROUP 1 2 3 4 5 6
COUNT 0. 4. 7. 5. 3. 0.
HISTOGRAM - SPILLS
PCT. N
0.474 9 I
0.421 8 I
0.421 8 I
0.421 8 I
0.368 7 I XXXXXXXXXX
0.368 7 I XXXXXXXXXX
0.368 7 I XXXXXXXXXX
0.316 6 I XXXXXXXXXX
0.316 6 I XXXXXXXXXX
0.316 6 I XXXXXXXXXX
0.263 5 I XXXXXXXXXXXXXXXXXXXX
0.263 5 I XXXXXXXXXXXXXXXXXXXX
0.263 5 I XXXXXXXXXXXXXXXXXXXX
0.211 4 I XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
0.211 4 I XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
0.211 4 I XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
0.158 3 I XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
0.158 3 I XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
0.158 3 I XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
0.105 2 I XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
0.105 2 I XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
0.105 2 I XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
0.053 1 I XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
0.053 1 I XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
0.053 1 I XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
I---------I---------I---------I---------I---------I---------I
-2.04 -0.341 1.36 3.06 4.76 6.47 8.17
|_plot insp pen
*=INSP
10.105 |
9.4737 | *
8.8421 | * *
8.2105 |
7.5789 | * *
6.9474 | * *
6.3158 |
5.6842 | * *
5.0526 | *
4.4211 | *
3.7895 | * * *
3.1579 |
2.5263 | * *
1.8947 | *
1.2632 |
0.63158 | * *
________________________________________
4.000 8.000 12.000 16.000 20.000
PEN
|_stop
Updated: February 18, 1998
Prepared by: Trudy Ann
Cameron