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Regression Analysis: ln Y versus ln X1, ln X2, ...

* WARNING * ln X2 is highly correlated with other predictors.
* WARNING * ln X3 is highly correlated with other predictors.

The regression equation is
ln Y = 7809376 + 1.08 ln X1 - 5765311 ln X2 + 5765311 ln X3 - 0.126 ln X4
       + 0.0105 ln X5 + 0.0018 ln X6


Predictor         Coef     SE Coef        T        P              VIF
Constant       7809376     6139883     1.27    0.208
ln X1           1.0754      0.1558     6.90    0.000           463.4
ln X2         -5765311     4532798    -1.27    0.208     4.34652E+17
ln X3          5765311     4532798     1.27    0.208     4.34652E+17
ln X4          -0.1257      0.1235    -1.02    0.313           294.7
ln X5         0.010493    0.006677     1.57    0.121             1.7
ln X6          0.00181     0.01259     0.14    0.886             4.2

S = 0.0149235     R-Sq = 99.7%        R-Sq(adj) = 99.7%


Analysis of Variance

Source            DF          SS         MS          F        P
Regression         6     4.25561    0.70927    3184.70    0.000
Residual Error    61     0.01359    0.00022
Total             67     4.26920


Source   DF     Seq SS
ln X1     1    4.25416
ln X2     1    0.00051
ln X3     1    0.00022
ln X4     1    0.00016
ln X5     1    0.00056
ln X6     1    0.00000


Unusual Observations

Obs   ln X1       ln Y        Fit     SE Fit   Residual     St Resid
  6    9.51    8.00884    8.04129    0.00286   -0.03245        -2.22R
 38    9.13    7.69699    7.66139    0.00353    0.03560         2.46R
 48    9.74    8.23929    8.26917    0.00302   -0.02988        -2.04R
 57    9.58    8.11890    8.12285    0.01380   -0.00395        -0.69 X
 61    9.09    7.59816    7.63574    0.00731   -0.03758        -2.89R
 64    9.78    8.29977    8.30188    0.01479   -0.00211        -1.04 X

R denotes an observation with a large standardized residual.
X denotes an observation whose X value gives it large influence.


Durbin-Watson statistic = 1.21483

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Output minitab david

  • 1. Regression Analysis: ln Y versus ln X1, ln X2, ... * WARNING * ln X2 is highly correlated with other predictors. * WARNING * ln X3 is highly correlated with other predictors. The regression equation is ln Y = 7809376 + 1.08 ln X1 - 5765311 ln X2 + 5765311 ln X3 - 0.126 ln X4 + 0.0105 ln X5 + 0.0018 ln X6 Predictor Coef SE Coef T P VIF Constant 7809376 6139883 1.27 0.208 ln X1 1.0754 0.1558 6.90 0.000 463.4 ln X2 -5765311 4532798 -1.27 0.208 4.34652E+17 ln X3 5765311 4532798 1.27 0.208 4.34652E+17 ln X4 -0.1257 0.1235 -1.02 0.313 294.7 ln X5 0.010493 0.006677 1.57 0.121 1.7 ln X6 0.00181 0.01259 0.14 0.886 4.2 S = 0.0149235 R-Sq = 99.7% R-Sq(adj) = 99.7% Analysis of Variance Source DF SS MS F P Regression 6 4.25561 0.70927 3184.70 0.000 Residual Error 61 0.01359 0.00022 Total 67 4.26920 Source DF Seq SS ln X1 1 4.25416 ln X2 1 0.00051 ln X3 1 0.00022 ln X4 1 0.00016 ln X5 1 0.00056 ln X6 1 0.00000 Unusual Observations Obs ln X1 ln Y Fit SE Fit Residual St Resid 6 9.51 8.00884 8.04129 0.00286 -0.03245 -2.22R 38 9.13 7.69699 7.66139 0.00353 0.03560 2.46R 48 9.74 8.23929 8.26917 0.00302 -0.02988 -2.04R 57 9.58 8.11890 8.12285 0.01380 -0.00395 -0.69 X 61 9.09 7.59816 7.63574 0.00731 -0.03758 -2.89R 64 9.78 8.29977 8.30188 0.01479 -0.00211 -1.04 X R denotes an observation with a large standardized residual. X denotes an observation whose X value gives it large influence. Durbin-Watson statistic = 1.21483