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Independent variables. The equation of the fitted model is
U = 50,4754 - 0,0226977*G + 0,00508481*Yl - 0,00968836*Kl - 1,60591*Wl
+ 2,17321*time
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 93,8482% of the variability in U. The adjusted R-squared
statistic, which is more suitable for comparing models with different
numbers of independent variables, is 92,45%. The standard error of
the estimate shows the standard deviation of the residuals to be
0,335295. 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 0,238022 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 greater
than 1.4, there is probably not any serious autocorrelation in the
residuals.
In determining whether the model can be simplified, notice that the
highest P-value on the independent variables is 0,0000, belonging to
Yl. Since the P-value is less than 0.01, the highest order term is
statistically significant at the 99% confidence level. Consequently,
you probably don't want to remove any variables from the model.
Multiple Regression Analysis 2MNK1.M
-----------------------------------------------------------------------------
Dependent variable: M
-----------------------------------------------------------------------------
Standard T
Parameter Estimate Error Statistic P-Value
-----------------------------------------------------------------------------
Kl 0,167465 0,0036255 46,1908 0,0000
Pl 2,17451 0,462217 4,70451 0,0001
time -37,6984 2,27518 -16,5694 0,0000
-----------------------------------------------------------------------------
Analysis of Variance
-----------------------------------------------------------------------------
Source Sum of Squares Df Mean Square F-Ratio P-Value
-----------------------------------------------------------------------------
Model 9,94119E6 3 3,31373E6 7154,59 0,0000
Residual 11579,0 25 463,162
-----------------------------------------------------------------------------
Total 9,95277E6 28
R-squared = 99,8837 percent
R-squared (adjusted for d.f.) = 99,8744 percent
Standard Error of Est. = 21,5212
Mean absolute error = 17,08
Durbin-Watson statistic = 2,41589
The StatAdvisor
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The output shows the results of fitting a multiple linear
regression model to describe the relationship between M and 3