## 3 Results
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Response** & **HR, bpm** & **Regression Equation** & **Term** & **Estimate** & **SE** & _p-Value_ \\ \hline \multirow{8}{*}{59} & \multirow{4}{*}{\(b_{1}+b_{2}\cdot x\)} & \(b_{1}\) & \(-0.06\) & \(0.07\) & \(0.37\) \\ \cline{3-6}  & & \(b_{2}\) & \(11.76\) & \(1.13\) & \(3.69\times 10^{-10}\) \\ \cline{3-6}  & & F-test vs. constant & \(108\) & & \(3.69\times 10^{-10}\) \\ \cline{3-6}  & & \(b_{1}\) & \(0.51\) & \(0.08\) & \(1.43\times 10^{-05}\) \\ \cline{3-6}  & & \(b_{2}\) & \(-15.1\) & \(3.8\) & \(0.001\) \\ \cline{3-6}  & & \(b_{3}\) & \(259.6\) & \(37.9\) & \(3.85\times 10^{-06}\) \\ \cline{3-6}  & & F-test vs. constant & \(213\) & & \(2.93\times 10^{-12}\) \\ \cline{3-6}  & & \(b_{1}\) & \(0.19\) & \(0.03\) & \(1.01\times 10^{-05}\) \\ \cline{3-6}  & & \(b_{2}\) & \(111.8\) & \(7.6\) & \(2.62\times 10^{-10}\) \\ \cline{3-6}  & & F-test vs. constant & \(216\) & & \(2.62\times 10^{-10}\) \\ \cline{3-6}  & & Pearson’s \(r\) & \(0.9080\) & \(3.69\times 10^{-10}\) \\ \cline{3-6}  & & Spearman’s \(\rho\) & \(0.9345\) & & \(8.37\times 10^{-12}\) \\ \hline \multirow{8}{*}{57} & \multirow{4}{*}{\(b_{1}+b_{2}\cdot x\)} & \(b_{1}\) & \(-0.4\) & \(0.1\) & \(0.0008\) \\ \cline{3-6}  & & \(b_{2}\) & \(20.3\) & \(1.7\) & \(7.27\times 10^{-11}\) \\ \cline{3-6}  & & F-test vs. constant & \(135\) & & \(7.27\times 10^{-11}\) \\ \cline{3-6}  & & \(b_{1}\) & \(1.27\) & \(0.09\) & \(1.93\times 10^{-09}\) \\ \cline{3-6}  & & \(b_{2}\) & \(-49.8\) & \(3.9\) & \(4.70\times 10^{-09}\) \\ \cline{3-6}  & & \(b_{3}\) & \(670.4\) & \(38.4\) & \(6.72\times 10^{-11}\) \\ \cline{3-6}  & & F-test vs. constant & \(1.17\times 10^{3}\) & & \(2.61\times 10^{-16}\) \\ \cline{3-6}  & & \(b_{1}\) & \(0.13\) & \(0.04\) & \(0.0023\) \\ \cline{3-6}  & & \(b_{2}\) & \(191.1\) & \(10.8\) & \(2.18\times 10^{-12}\) \\ \cline{3-6}  & & F-test vs. constant & \(313\) & & \(2.18\times 10^{-12}\) \\ \cline{3-6}  & & Pearson’s \(r\) & \(0.9170\) & & \(1.17\times 10^{-10}\) \\ \cline{3-6}  & & Spearman’s \(\rho\) & \(0.9557\) & & \(1.04\times 10^{-13}\) \\ \hline \multirow{8}{*}{86} & \multirow{4}{*}{\(b_{1}+b_{2}\cdot x\)} & \(b_{1}\) & \(-0.92\) & \(0.16\) & \(1.11\times 10^{-05}\) \\ \cline{3-6}  & & \(b_{2}\) & \(34.82\) & \(3.03\) & \(5.20\times 10^{-11}\) \\ \cline{3-6}  & & F-test vs. constant & \(132\) & & \(5.20\times 10^{-11}\) \\ \cline{3-6}  & & \(b_{1}\) & \(2.3\) & \(0.4\) & \(2.13\times 10^{-05}\) \\ \cline{3-6}  & & \(b_{2}\) & \(-97.5\) & \(16.8\) & \(1.32\times 10^{-05}\) \\ \cline{3-6}  & & \(b_{3}\) & \(1289.7\) & \(164.9\) & \(2.35\times 10^{-07}\) \\ \cline{3-6}  & & F-test vs. constant & \(307\) & & \(3.44\times 10^{-15}\) \\ \cline{3-6}  & & \(b_{1}\) & \(-0.19\) & \(0.09\) & \(0.046\) \\ \cline{3-6}  & & \(b_{2}\) & \(378.5\) & \(27.1\) & \(8.88\times 10^{-12}\) \\ \cline{3-6}  & & F-test vs. constant & \(195\) & & \(8.88\times 10^{-12}\) \\ \cline{3-6}  & & Pearson’s \(r\) & \(0.9229\) & \(5.20\times 10^{-11}\) \\ \hline \multicolumn{2}{c}{Spearman’s \(\rho\)} & \(0.9574\) & \(6.68\times 10^{-14}\) \\ \hline \hline \end{tabular} \(x\) denotes _Pl_; \(b_{1}\) are regression coefficients; SE is a standard error of an estimate for regression coefficient; F-test vs. constant denotes a value of F-statistic for null-hypothesis that a data set follows simpler of the two. A proposed model and a constant model; [PERSON]’s \(r\) denotes [PERSON]’s correlation coefficient; [PERSON]’s \(\rho\) denotes [PERSON]’s rank correlation coefficient.  
\end{table} 
Table 2: Data of statistical analysis of different regression models for _CPO_ response. Figure 4: Measured data sets and regression models of cardiac output (**A**,**C**,**E**) and cardiac power output (**B**,**D**,**F**) versus pulsatility index of the Sputnik LVAD electric current for three heart rate values—59 (red), 73 (green) and 86 (blue) bpm. Regression equations and coefficients of determination adjusted to the number of coefficients are given near the curves. Error bars correspond to the point size.