Skip to main content

Table 3 Estimates of coefficients of the variables in the second-order polynomial regression with different Wenzel’s numbers

From: Effects of the surface physico-chemical properties and the surface textures on the initial colonization and the attached growth in algal biofilm

Coefficient Variables r < 1.60 r ≥ 1.60
Estimate p value Estimate p value
\( \alpha_{0} \) Constant 156.2 0.08 104.6 0.15
\( \alpha_{1} \) \( \theta_{\text{te}} \) −2.2 0.43 19.4 <0.05
\( \alpha_{2} \) r 275.3 <0.05 65.4 0.13
\( \alpha_{12} \) \( \theta_{\text{te}} \times r \) 3.7 <0.05 1.7 0.69
\( \alpha_{11} \) \( \theta_{\text{te}}^{2} \) −0.1 0.38 0.7 <0.05
\( \alpha_{22} \) r 2 122.6 <0.05 n.a.a n.a.
Regression coefficient (R 2) 0.57   0.75
p value <0.001   <0.001
  1. The equation \( Y = \alpha_{0} + \alpha_{1} \theta_{\text{te}} + \alpha_{2} r + \alpha_{12} \theta_{\text{te}} r + \alpha_{11} \theta_{\text{te}}^{2} + \alpha_{22} r^{2} \) was used for correlation, where Y is cell attachment (g m−2), r is the Wenzel’ number (dimensionless), and \( \theta_{\text{te}} \) is tetradecane contact angle (°)
  2. aThe estimate was not available