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The experimental results were compared with predicted values calculated using Ergun and Kozeny Carman equations, as well as other multiple linear equations obtained with the stepwise methodology.
The times at the beginning, the apex (i.e. the retention time) and the end of each peak were recorded and modelled by multiple linear equations.
Matrices can be used to compactly write and work with multiple linear equations, i.e., systems of linear equations.
Matrices can be used to condense multiple linear equations as above into one vector equation, namely :, where \begin{bmatrix} 1 & 3 & 1 \\ 4 & 2 & 2\end{bmatrix} is the matrix containing the coefficients of the given equations, is the vector, denotes the matrix product, and is the zero vector.
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Multiple linear regression equations were developed for predicting soil erosion from the experimental factors.
Best-fit least square simple and multiple linear regression equations were developed to predict some dimensions.
Multiple linear regression equations were developed for predicting wash erosion from the experimental factors.
As such we used the simpler multiple linear regression equations for our landscape extrapolations.
They could be estimated by using multiple linear regression equations reflecting the combined effects of hypothermia and hemodilution.
Multiple linear regression equations were developed to predict the V85 of vehicles on horizontal curves in two-lane rural highways.
The data for the first 6 months were used to derive multiple linear regression equations, which were then validated using the run-up scale data for the remaining 3 months and the corresponding offshore wave forecasting model results.
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