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