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. 2013 Oct 17;15(10):e231. doi: 10.2196/jmir.2771

Table 4.

Comparison of linear, logarithmic, and quadratic models for usage variables included in the linear regression.

Usage variable and model Unstandardized
coefficients
Standardized
coefficients
F (df) P Adjusted R 2

B SE β


Activities completed per log-in






Linear 0.217 0.070 0.208 9.61 (1,212) .002 0.039

Logarithmic 0.105 0.040 0.178 6.98 (1,212) .009 0.027

Quadratic 0.023 0.101 0.044 4.81 (2,211) .009 0.035
Total time spent online






Linear 0.000 0.000 0.142 4.38 (1,212) .04 0.016

Logarithmic 0.114 0.047 0.163 5.79 (2,212) .02 0.022

Quadratic 0.001 0.000 0.418 3.23 (2,211) .04 0.020
Total time spent online per log-in






Linear 0.010 0.004 0.183 7.33 (1,212) .007 0.029

Logarithmic 0.146 0.064 0.155 5.21 (1,212) .02 0.019

Quadratic 0.001 0.011 0.022 4.04 (2,211) .02 0.028
Combined activities-modules metric






Linear 0.007 0.005 0.106 1.22 (1,212) .12 0.007

Logarithmic 0.084 0.055 0.104 1.15 (1,212) .28 0.001

Quadratic 0.011 0.019 0.169 1.23 (1,211) .30 0.002