Table 3. Multi variant linear regression analysis of article citations \(C\) vs. twitter mentions \(T\), article arXiv downloads \(A\), and time in days elapsed between beginning of our test period and submission of article, \(P\). *: p\(<\)0.1,**: p\(<\)0.05,***: p\(<\)0.01,****: p\(<\)0.001
model \(\beta_1\) (st. error) \(\beta_2\) (st. error) \(\beta_3\) (st. error)
\(C=\beta_{1}T+\beta_{2}P+\varepsilon_1\) \(0.150^{***}\) (0.035) \(0.044^{**}\)(0.019) -
\(C=\beta_{1}A+\beta_{2}P+\varepsilon_2\) 2e-04\(^{***}\) (7e-05) \(0.038^{*}\)(0.020) -
\(C=\beta_{1}T+\beta_{2}A+\beta_{3}P+\varepsilon_3\) \(0.120^{***}\) (0.040) 1e-04(8e-05) \(0.041^{**}\)(0.019)