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Two multivariate linear equation for LVC and LPC, respectively are obtained.
Had we included these variables into our multivariate linear equation, we would have produced an unreliable prediction model.
In model trees, each leaf stores a regression model called Linear Model (LM), which is a multivariate linear equation for the target attribute [ 1].
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The experimental results relating the variables and response functions fitted well (0.938 ≤ r ≤ 0.996, p ≤ 0.01) by multivariate linear equations indicating the suitability of the Plackett Burman design to identify important variables of gel formation.
The remaining regulators for a specific target, mRNA or miRNA, were represented as independent variables in the formal multivariate linear regression (Equation 2 or Equation 3).
A multivariate linear regression equation containing photochemical reflectance index (PRI and REE for T. latifolia explained 93% of TA variation (P<0.001) when 0.10<TP<0.20 mg P l−1.
We evaluated the contribution of these two kinetic parameters on range of motion decrease by means of a multivariate linear regression (see equation 1 in Methods).
From the network point-of-view, the interspecies PPI network depicted by the multivariate linear dynamic models in equation (1) represents how C. albicans and zebrafish interact during the infection process.
Bivariate analyses using t-test and chi-square tests have been conducted in order to assess the association between each predictor of interest and the outcomes of interest and those with a p-value of 0.25 or better were considered for possible entry in the multivariate linear and logistic regressions equation.
The multivariate linear dynamic model in equation (1) can be rewritten as the following regression form: (2) x i t + 1 = x 1 t ⋯ x J i t y 1 t ⋯ y K i t x i t 1 · a i 1 ⋮ a i J i b i 1 ⋮ b i K i 1 − λ i h i + ϵ i [ t ] ≡ ϕ i T t · θ i + ϵ i [ t ] where ϕ i [ t] denotes the regression vector which can be obtained from the data and θ i is the parameter vector to be estimated for target protein i.
We performed multivariate linear regression with generalized estimating equations to account for the correlated nature of the longitudinal measures.
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CEO of Professional Science Editing for Scientists @ prosciediting.com