B34S 8.61h (D:M:Y) 10/ 3/00 (H:M:S) 16: 1:48 DATA STEP PAGE 1 Variable # Label Mean Std. Dev. Variance Maximum Minimum TIME 1 1948.00 11.4018 130.000 1967.00 1929.00 P 2 Index of factor Prices 0.707282 0.337010 0.113576 1.29200 0.254000 K 3 Capital 133.036 52.2247 2727.42 247.900 76.0000 L 4 Labor 217.556 45.8504 2102.26 305.000 141.600 M1 5 Money Supply M1 94.5728 52.4285 2748.75 176.430 19.8900 M2 6 Money Supply M2 139.720 85.6406 7334.31 330.400 32.0900 Q 7 Real Output 325.944 143.017 20453.9 631.100 132.000 M1DP 8 Real Money M1 125.284 29.7936 887.657 174.984 67.6396 M2DP 9 Real Money M2 182.246 37.5234 1408.01 255.728 118.198 LNK 10 Natural Log Capital 4.81872 0.380578 0.144839 5.51303 4.33073 LNL 11 Natural Log Labor 5.35965 0.219570 0.482112E-01 5.72031 4.95301 LNQ 12 Natural Log Output 5.68745 0.460959 0.212483 6.44746 4.88280 LNRM1 13 Natural Log Real M1 4.79898 0.264094 0.697455E-01 5.16469 4.21419 LNRM2 14 Natural Log Real M2 5.18325 0.216864 0.470301E-01 5.54411 4.77236 CONSTANT 15 1.00000 0.00000 0.00000 1.00000 1.00000 Data file contains 39 observations on 15 variables. Current missing value code is 0.1000000000000000E+32 Data begins on (D:M:Y) 1: 1:1929 and ends on 1: 1:1967 Frequency is 1. Matrix Command. Version January 2000 Report any problems. => CALL LOADDATA$ => * SINAI-STOKES RES DATA --- NONLINEAR MODELS $ => PROGRAM RES72$ => CALL PRINT(RES72)$ RES72 = Program PROGRAM RES72$ CALL ECHOOFF$ YHAT=A*((G1*(K**R)) + (G2*(L**R)) + ((1.0-G1-G2)*(M1DP**R)) )**(V/R)$ CALL OUTSTRING(3,3,'Coefficients')$ CALL OUTSTRING(3,4,'g1 g2 v r')$ CALL OUTDOUBLE(14,4,G1)$ CALL OUTDOUBLE(34,4,G2)$ CALL OUTDOUBLE(50,4,V)$ CALL OUTDOUBLE(14,5,R)$ RETURN$ END$ => CALL NLLSQ(Q,YHAT :NAME RES72 :PARMS G1 G2 A R V => :MAXIT 50 :FLAM 1. :FLU 10. :EPS2 .004 => :IVALUE ARRAY(:.27698 .7754 1.0,-.05 1.8 ) => :PRINT RESULT RESIDUALS)$ Nonlinear Estimation # of observations 39 # parameters 5 Max iterations 50 Starting Lamda (FLAM) 1.000000000000000 Starting FLU 10.00000000000000 Maximum relative change in sum of squares (eps1) 0.000000000000000E+00 Maximum relative change in each parameter (eps2) 4.000000000000000E-03 Initial Parameter Values (TH) 1 2 3 4 5 0.2770 0.7754 1.000 -0.5000E-01 1.800 Proportions used in calculating difference quotients 1 2 3 4 5 0.1000E-01 0.1000E-01 0.1000E-01 0.1000E-01 0.1000E-01 Sign restriction vector (GT 0.0 means restricted 1 2 3 4 5 0.000 0.000 0.000 0.000 0.000 => CALL ECHOOFF$ Initial sum of squares = 8626792984.675591 Number of observations = 39 Iteration stops - Relative change in each parameter LE 4.000000000000000E-03 Correlation Matrix of Estimated Parameters. 1 / Cond = 3.184453343997611E-07 1 2 3 4 5 1 1.0000 2 -0.9554 1.0000 3 0.8404 -0.8279 1.0000 4 0.6562 -0.5812 0.1932 1.0000 5 -0.8157 0.7796 -0.9948 -0.1732 1.0000 Normalizing Elements 1 2 3 4 5 0.7145E-02 0.1049E-01 0.3363E-02 0.5554E-01 0.6174E-02 Variance of residuals 68.80959985062479 Sum of squared residuals 2339.526394921243 Standard Error of Estimate 8.295155203528431 Adjusted R Square 0.9966358678182855 Degrees of freedom 34 Durbin Watson 0.8588453439771685 # Name Coefficient Standard Error T Value 1 G1 0.52017864 0.59271579E-01 8.7761901 2 G2 0.33296863 0.87040762E-01 3.8254333 3 A 0.84247911E-01 0.27897181E-01 3.0199435 4 R 1.1848137 0.46070180 2.5717583 5 V 1.6183076 0.51211058E-01 31.600746 Note: Confidence limits for each parameter on linear hypothesis. T Y Hat Residual Data Value U Conf L Conf 1 181.5 8.307 189.8 189.5 173.5 2 175.9 -3.822 172.1 181.8 170.1 3 165.9 -6.753 159.1 171.0 160.7 4 146.4 -10.82 135.6 152.7 140.2 5 143.7 -11.69 132.0 149.5 137.9 6 149.5 -7.706 141.8 154.4 144.6 7 158.8 -4.862 153.9 163.3 154.2 8 171.0 0.4525 171.5 175.2 166.9 9 178.4 4.595 183.0 184.0 172.8 10 167.1 6.057 173.2 171.4 162.9 11 180.5 7.980 188.5 184.6 176.5 12 199.4 6.127 205.5 203.1 195.6 13 228.7 7.316 236.0 232.6 224.8 14 255.0 2.815 257.8 259.8 250.2 15 275.9 1.636 277.5 279.4 272.4 16 277.7 13.40 291.1 282.6 272.8 17 270.9 13.61 284.5 281.0 260.7 18 277.3 -3.301 274.0 286.9 267.7 19 297.2 -17.34 279.9 304.3 290.2 20 309.4 -11.77 297.6 315.4 303.3 21 304.1 -6.425 297.7 308.8 299.4 22 322.9 5.968 328.9 327.6 318.2 23 349.2 2.244 351.4 355.5 342.8 24 362.4 -1.987 360.4 368.4 356.4 25 379.7 -0.7548 378.9 385.6 373.7 26 372.4 3.394 375.8 377.7 367.1 27 398.5 8.197 406.7 403.9 393.1 28 419.9 -3.560 416.3 425.3 414.4 29 426.3 -3.458 422.8 431.3 421.2 30 420.0 -1.561 418.4 426.0 413.9 31 449.0 -3.340 445.7 454.1 443.9 32 465.2 -7.882 457.3 469.7 460.6 33 472.3 -6.013 466.3 477.9 466.7 34 495.2 0.1429 495.3 500.5 489.9 35 506.6 8.868 515.5 511.7 501.6 36 537.3 6.783 544.1 543.2 531.4 37 568.8 10.44 579.2 575.3 562.2 38 609.0 6.568 615.6 617.6 600.5 39 647.1 -16.02 631.1 656.9 637.4 -0.10696250 # Name Type Klass Row-Col Label 1 BJULIAN_ Real*8 D1array 39 by 1 2 TIME Real*8 D1array 39 by 1 3 P Real*8 D1array 39 by 1 Index of factor Prices 4 K Real*8 D1array 39 by 1 Capital 5 L Real*8 D1array 39 by 1 Labor 6 M1 Real*8 D1array 39 by 1 Money Supply M1 7 M2 Real*8 D1array 39 by 1 Money Supply M2 8 Q Real*8 D1array 39 by 1 Real Output 9 M1DP Real*8 D1array 39 by 1 Real Money M1 10 M2DP Real*8 D1array 39 by 1 Real Money M2 11 LNK Real*8 D1array 39 by 1 Natural Log Capital 12 LNL Real*8 D1array 39 by 1 Natural Log Labor 13 LNQ Real*8 D1array 39 by 1 Natural Log Output 14 LNRM1 Real*8 D1array 39 by 1 Natural Log Real M1 15 LNRM2 Real*8 D1array 39 by 1 Natural Log Real M2 16 CONSTANT Real*8 D1array 39 by 1 17 RES72 Program D2array 11 by 9 18 %FSS Real*8 Scalar 1 by 1 19 %SEE Real*8 Scalar 1 by 1 20 %RESVAR Real*8 Scalar 1 by 1 21 %ARSQ Real*8 Scalar 1 by 1 22 %NOB Integer Scalar 1 by 1 23 %SE Real*8 D1array 5 by 1 24 %NLLSQ Real*8 D1array 3 by 1 25 %PRINT Integer Vector 3 by 1 26 %EPS1 Real*8 Scalar 1 by 1 27 %EPS2 Real*8 Scalar 1 by 1 28 %FLAM Real*8 Scalar 1 by 1 29 %FLU Real*8 Scalar 1 by 1 30 %MAXIT Integer Scalar 1 by 1 31 G1 Real*8 Scalar 1 by 1 32 G2 Real*8 Scalar 1 by 1 33 A Real*8 Scalar 1 by 1 34 R Real*8 Scalar 1 by 1 35 V Real*8 Scalar 1 by 1 36 %IPARM Integer D1array 5 by 1 37 %NPARM Char*8 D1array 5 by 1 38 %IVEC Real*8 D1array 5 by 1 39 %DIFF Real*8 D1array 5 by 1 40 %IVALUE Real*8 D1array 5 by 1 41 %COEF Real*8 D1array 5 by 1 NLLSQ Coefficients 42 %CORRMAT Real*8 Matrix 5 by 5 43 %T Real*8 D1array 5 by 1 44 %RES Real*8 D1array 39 by 1 45 YHAT Real*8 D1array 39 by 1 Space available 2886109 , used 3756 , peak used 5162 # Temp varibles 1418 , peak # used 1418 %CORRMAT= Matrix of 5 by 5 elements 1 2 3 4 5 1 1.00000 -0.955365 0.840406 0.656205 -0.815713 2 -0.955365 1.00000 -0.827910 -0.581202 0.779559 3 0.840406 -0.827910 1.00000 0.193165 -0.994777 4 0.656205 -0.581202 0.193165 1.00000 -0.173151 5 -0.815713 0.779559 -0.994777 -0.173151 1.00000 Obs %COEF %SE %T 1 0.5202 0.5927E-01 8.776 2 0.3330 0.8704E-01 3.825 3 0.8425E-01 0.2790E-01 3.020 4 1.185 0.4607 2.572 5 1.618 0.5121E-01 31.60 X = Matrix of 3 by 3 elements 1 2 3 1 1.00000 2.00000 3.00000 2 4.00000 5.00000 6.00000 3 7.00000 8.00000 0.900000 C = Matrix of 3 by 3 elements 1 2 3 1 -1.79012 0.913580 -0.123457 2 1.58025 -0.827160 0.246914 3 -0.123457 0.246914 -0.123457 Matrix of 3 by 3 elements 1 2 3 1 1.00000 0.888178E-15 0.499600E-15 2 -0.222045E-15 1.00000 -0.832667E-16 3 0.111022E-15 0.111022E-15 1.00000 B34S Matrix Command Ending. Last Command reached. Space available in allocator 2886109, peak space used 5162 Number temp. varibles used 1435, peak number used 1435