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Independent variables. The equation of the fitted model is
LOG(Y) = 1,48893*LOG(K) - 1,05751*LOG(L)
Since the P-value in the ANOVA table is less than 0.01, there is a
statistically significant relationship between the variables at the
99% Confidence level.
The R-Squared statistic indicates that the model as fitted
explains 99,9959% of the variability in LOG(Y). The adjusted
R-squared statistic, which is more suitable for comparing models with
different numbers of independent variables, is 99,9957%. (Note: since
the model does not contain a constant, you should be careful in
interpreting the R-Squared values. Do not compare these R-Squared
values with those of models which do contain a constant.) The
standard error of the estimate shows the standard deviation of the
residuals to be 0,0540664. This value can be used to construct
prediction limits for new observations by selecting the Reports option
from the text menu. The mean absolute error (MAE) of 0,0470633 is the
average value of the residuals. The Durbin-Watson (DW) statistic
tests the residuals to determine if there is any significant
correlation based on the order in which they occur in your data file.
Since the DW value is less than 1.4, there may be some indication of
serial correlation. Plot the residuals versus row order to see if
there is any pattern which can be seen.
In determining whether the model can be simplified, notice that the
highest P-value on the independent variables is 0,0309, belonging to
LOG(L). Since the P-value is less than 0.05, that term is
statistically significant at the 95% confidence level. Consequently,
you probably don't want to remove any variables from the model.
Multiple Regression Analysis Y.5
-----------------------------------------------------------------------------
Dependent variable: LOG(Y)
-----------------------------------------------------------------------------
Standard T
Parameter Estimate Error Statistic P-Value
-----------------------------------------------------------------------------
LOG(K) 1,27574 0,199723 6,38757 0,0000
LOG(L) -0,63678 0,38137 -1,66972 0,1065
time -0,00421414 0,00100009 -4,21376 0,0003
-----------------------------------------------------------------------------
Analysis of Variance
-----------------------------------------------------------------------------
Source Sum of Squares Df Mean Square F-Ratio P-Value
-----------------------------------------------------------------------------
Model 1975,75 3 658,582 360118,49 0,0000
Residual 0,0493774 27 0,00182879
-----------------------------------------------------------------------------
Total 1975,8 30
R-squared = 99,9975 percent
R-squared (adjusted for d.f.) = 99,9973 percent
Standard Error of Est. = 0,0427644
Mean absolute error = 0,0303906
Durbin-Watson statistic = 0,453555
The StatAdvisor
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The output shows the results of fitting a multiple linear
regression model to describe the relationship between LOG(Y) and 3