小弟选了47个样本（只能搜集到这么多），结果拟合的结果如下

Dependent Variable: Y   
Method: Least Squares   
Date: 01/30/10   Time: 13:09   
Sample (adjusted): 1959 2004   
Included observations: 46 after adjustments   
Convergence achieved after 6 iterations   
   
Variable Coefficient Std. Error t-Statistic Prob.  
   
C 0.693123 4.35E-05 15932.10 0.0000
X1 0.500004 3.41E-05 14659.79 0.0000
X2 0.247998 0.000163 1523.391 0.0000
X3 0.999991 8.47E-06 118043.6 0.0000
AR(1) 0.522517 0.144512 3.615727 0.0008
   
R-squared 1.000000     Mean dependent var  -4.830242
Adjusted R-squared 1.000000     S.D. dependent var  0.808312
S.E. of regression 1.64E-05     Akaike info criterion  -19.09988
Sum squared resid 1.10E-08     Schwarz criterion  -18.90112
Log likelihood 444.2973     F-statistic  2.74E+10
Durbin-Watson stat 1.871026     Prob(F-statistic)  0.000000
   
Inverted AR Roots       .52   
   
看到这个结果我傻了眼，怎么Adjusted R-squared=1?????

是不是样本太少的原因？还是其他出了啥问题？

跪求牛人指点！！！