UNIVERSITY OF CALIFORNIA, LOS
ANGELES
Department of Economics
Fall 1997; Cameron
Economics 143 - Midterm Exhibits
EXHIBIT A
|_sample 1 27
|_read(a:mailroom.dat) prod months score
UNIT 88 IS NOW ASSIGNED TO: a:mailroom.dat
3 VARIABLES AND 27 OBSERVATIONS STARTING AT OBS 1
|_stat prod months score / pcor
NAME N MEAN ST. DEV VARIANCE MINIMUM MAXIMUM
PROD 27 9.7704 1.5779 2.4899 7.6000 13.400
MONTHS 27 4.8148 3.0889 9.5413 0.00000 11.000
SCORE 27 73.519 14.532 211.18 50.000 95.000
CORRELATION MATRIX OF VARIABLES - 27 OBSERVATIONS
PROD 1.0000
MONTHS 0.12746 1.0000
SCORE 0.35947 -0.75607 1.0000
PROD MONTHS SCORE
REGRESSION 1
|_ols months prod
REQUIRED MEMORY IS PAR= 2 CURRENT PAR= 1000
OLS ESTIMATION
27 OBSERVATIONS DEPENDENT VARIABLE = MONTHS
...NOTE..SAMPLE RANGE SET TO: 1, 27
R-SQUARE = 0.0162 R-SQUARE ADJUSTED = -0.0231
VARIANCE OF THE ESTIMATE-SIGMA**2 = 9.7618
STANDARD ERROR OF THE ESTIMATE-SIGMA = 3.1244
SUM OF SQUARED ERRORS-SSE= 244.04
MEAN OF DEPENDENT VARIABLE = 4.8148
LOG OF THE LIKELIHOOD FUNCTION = -68.0318
ANALYSIS OF VARIANCE - FROM MEAN
SS DF MS F
REGRESSION 4.0299 1. 4.0299 0.413
ERROR 244.04 25. 9.7618 P-VALUE
TOTAL 248.07 26. 9.5413 0.526
ANALYSIS OF VARIANCE - FROM ZERO
SS DF MS F
REGRESSION 629.96 2. 314.98 32.266
ERROR 244.04 25. 9.7618 P-VALUE
TOTAL 874.00 27. 32.370 0.000
VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED
ELASTICITY
NAME COEFFICIENT ERROR 25 DF P-VALUE CORR. COEFFICIENT AT
MEANS
PROD 0.24950 0.3883 0.6425 0.526 0.127 0.1275 0.5063
CONSTANT 2.3771 3.841 0.6188 0.542 0.123 0.0000 0.4937
REGRESSION 2
|_ols prod months
REQUIRED MEMORY IS PAR= 2 CURRENT PAR= 1000
OLS ESTIMATION
27 OBSERVATIONS DEPENDENT VARIABLE = PROD
...NOTE..SAMPLE RANGE SET TO: 1, 27
R-SQUARE = 0.0162 R-SQUARE ADJUSTED = -0.0231
VARIANCE OF THE ESTIMATE-SIGMA**2 = 2.5474
STANDARD ERROR OF THE ESTIMATE-SIGMA = 1.5961
SUM OF SQUARED ERRORS-SSE= 63.685
MEAN OF DEPENDENT VARIABLE = 9.7704
LOG OF THE LIKELIHOOD FUNCTION = -49.8958
ANALYSIS OF VARIANCE - FROM MEAN
SS DF MS F
REGRESSION 1.0516 1. 1.0516 0.413
ERROR 63.685 25. 2.5474 P-VALUE
TOTAL 64.736 26. 2.4899 0.526
ANALYSIS OF VARIANCE - FROM ZERO
SS DF MS F
REGRESSION 2578.5 2. 1289.2 506.102
ERROR 63.685 25. 2.5474 P-VALUE
TOTAL 2642.2 27. 97.858 0.000
VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED
ELASTICITY
NAME COEFFICIENT ERROR 25 DF P-VALUE CORR. COEFFICIENT AT
MEANS
MONTHS 0.65109E-01 0.1013 0.6425 0.526 0.127 0.1275 0.0321
CONSTANT 9.4569 0.5765 16.40 0.000 0.957 0.0000 0.9679
|_confid months
USING 95% AND 90% CONFIDENCE INTERVALS
CONFIDENCE INTERVALS BASED ON T-DISTRIBUTION WITH 25 D.F.
- T CRITICAL VALUES = 2.060 AND 1.708
NAME LOWER 2.5% LOWER 5% COEFFICIENT UPPER 5% UPPER 2.5% STD.
ERROR
MONTHS -0.1436 -0.1080 0.65109E-01 0.2382 0.2739 0.101
REGRESSION 3
|_ols prod months score
REQUIRED MEMORY IS PAR= 2 CURRENT PAR= 1000
OLS ESTIMATION
27 OBSERVATIONS DEPENDENT VARIABLE = PROD
...NOTE..SAMPLE RANGE SET TO: 1, 27
R-SQUARE = 0.5013 R-SQUARE ADJUSTED = 0.4598
VARIANCE OF THE ESTIMATE-SIGMA**2 = 1.3451
STANDARD ERROR OF THE ESTIMATE-SIGMA = 1.1598
SUM OF SQUARED ERRORS-SSE= 32.283
MEAN OF DEPENDENT VARIABLE = 9.7704
LOG OF THE LIKELIHOOD FUNCTION = -40.7236
ANALYSIS OF VARIANCE - FROM MEAN
SS DF MS F
REGRESSION 32.454 2. 16.227 12.064
ERROR 32.283 24. 1.3451 P-VALUE
TOTAL 64.736 26. 2.4899 0.000
ANALYSIS OF VARIANCE - FROM ZERO
SS DF MS F
REGRESSION 2609.9 3. 869.96 646.760
ERROR 32.283 24. 1.3451 P-VALUE
TOTAL 2642.2 27. 97.858 0.000
VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED
ELASTICITY
NAME COEFFICIENT ERROR 24 DF P-VALUE CORR. COEFFICIENT AT
MEANS
MONTHS 0.47612 0.1125 4.232 0.000 0.654 0.9320 0.2346
SCORE 0.11555 0.2391E-01 4.832 0.000 0.702 1.0642 0.8695
CONSTANT -1.0170 2.208 -0.4606 0.649-0.094 0.0000 -0.1041
|_confid months
USING 95% AND 90% CONFIDENCE INTERVALS
CONFIDENCE INTERVALS BASED ON T-DISTRIBUTION WITH 24 D.F.
- T CRITICAL VALUES = 2.064 AND 1.711
NAME LOWER 2.5% LOWER 5% COEFFICIENT UPPER 5% UPPER 2.5% STD.
ERROR
MONTHS 0.2439 0.2836 0.47612 0.6686 0.7083 0.113
|_stop
________________________________________________________________________________
EXHIBIT B
|_sample 1 21
|_read(a:coffee.dat) atc q
UNIT 88 IS NOW ASSIGNED TO: a:coffee.dat
2 VARIABLES AND 21 OBSERVATIONS STARTING AT OBS 1
|_stat atc q / pcor
NAME N MEAN ST. DEV VARIANCE MINIMUM MAXIMUM
ATC 21 57.333 15.160 229.83 40.000 92.000
Q 21 94.857 29.726 883.63 51.000 145.00
CORRELATION MATRIX OF VARIABLES - 21 OBSERVATIONS
ATC 1.0000
Q -0.75346 1.0000
ATC Q
|_ols atc q
REQUIRED MEMORY IS PAR= 2 CURRENT PAR= 1000
OLS ESTIMATION
21 OBSERVATIONS DEPENDENT VARIABLE = ATC
...NOTE..SAMPLE RANGE SET TO: 1, 21
R-SQUARE = 0.5677 R-SQUARE ADJUSTED = 0.5450
VARIANCE OF THE ESTIMATE-SIGMA**2 = 104.58
STANDARD ERROR OF THE ESTIMATE-SIGMA = 10.227
SUM OF SQUARED ERRORS-SSE= 1987.1
MEAN OF DEPENDENT VARIABLE = 57.333
LOG OF THE LIKELIHOOD FUNCTION = -77.5718
ANALYSIS OF VARIANCE - FROM MEAN
SS DF MS F
REGRESSION 2609.6 1. 2609.6 24.952
ERROR 1987.1 19. 104.58 P-VALUE
TOTAL 4596.7 20. 229.83 0.000
ANALYSIS OF VARIANCE - FROM ZERO
SS DF MS F
REGRESSION 71639. 2. 35819. 342.493
ERROR 1987.1 19. 104.58 P-VALUE
TOTAL 73626. 21. 3506.0 0.000
VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED
ELASTICITY
NAME COEFFICIENT ERROR 19 DF P-VALUE CORR. COEFFICIENT AT
MEANS
Q -0.38427 0.7693E-01 -4.995 0.000-0.753 -0.7535 -0.6358
CONSTANT 93.784 7.631 12.29 0.000 0.942 0.0000 1.6358
|_plot atc q
REQUIRED MEMORY IS PAR= 1 CURRENT PAR= 1000
FOR MAXIMUM EFFICIENCY USE AT LEAST PAR= 1
21 OBSERVATIONS
*=ATC
M=MULTIPLE POINT
94.737 |
90.526 | *
86.316 |
82.105 | *
77.895 | *
73.684 | *
69.474 |
65.263 | *
61.053 | *
56.842 | *
52.632 | * *
48.421 | * * * *
44.211 | * * * * *
40.000 | * * *
________________________________________
30.000 60.000 90.000 120.000 150.000
Q
|_stop