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Independent variables. The equation of the fitted model is
W = 15,9604 - 0,0286759*P - 58,0154*Ur + 0,216618*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 89,8932% of the variability in W. The adjusted R-squared
statistic, which is more suitable for comparing models with different
numbers of independent variables, is 88,727%. The standard error of
the estimate shows the standard deviation of the residuals to be
0,324391. 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 0,241576 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 0,0034, belonging to
P. 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 U.1
-----------------------------------------------------------------------------
Dependent variable: U
-----------------------------------------------------------------------------
Standard T
Parameter Estimate Error Statistic P-Value
-----------------------------------------------------------------------------
Y 0,00248284 0,00110757 2,2417 0,0334
P -0,0411792 0,0206629 -1,99291 0,0565
W 0,0389703 0,164324 0,237155 0,8143
-----------------------------------------------------------------------------
Analysis of Variance
-----------------------------------------------------------------------------
Source Sum of Squares Df Mean Square F-Ratio P-Value
-----------------------------------------------------------------------------
Model 980,423 3 326,808 211,57 0,0000
Residual 41,7067 27 1,54469
-----------------------------------------------------------------------------
Total 1022,13 30
R-squared = 95,9196 percent
R-squared (adjusted for d.f.) = 95,6174 percent
Standard Error of Est. = 1,24286
Mean absolute error = 0,844691
Durbin-Watson statistic = 0,57187
The StatAdvisor
---------------
The output shows the results of fitting a multiple linear
regression model to describe the relationship between U and 3