Table 1 Forecasting equations for patient numbers

DOLNOŚLĄSKIE

\( {\hat{X}}^0\left(t+1\right)=\left[{X}^0(1)-\frac{7245.324}{-0.046}\right]\left({e}^{0.046t}-{e}^{0.046\left(t-1\right)}\right) \)

KUJAWSKO-POMORSKIE

\( {\hat{X}}^0\left(t+1\right)=\left[{X}^0(1)-\frac{6284.629}{-0.010}\right]\left({e}^{0.010t}-{e}^{0.010\left(t-1\right)}\right) \)

LUBELSKIE

\( {\hat{X}}^0\left(t+1\right)=\left[{X}^0(1)-\frac{3234.193}{-0.047}\right]\left({e}^{0.047t}-{e}^{0.047\left(t-1\right)}\right) \)

LUBUSKIE

\( {\hat{X}}^0\left(t+1\right)=\left[{X}^0(1)-\frac{2737.329}{-0.016}\right]\left({e}^{0.016t}-{e}^{\left(0.016\Big(t-1\right)}\right) \)

ŁÓDZKIE

\( {\hat{X}}^0\left(t+1\right)=\left[{X}^0(1)-\frac{5600.454}{-0.014}\right]\left({e}^{0.014t}-{e}^{0.014\left(t-1\right)}\right) \)

MAŁOPOLSKIE

\( {\hat{X}}^0\left(t+1\right)=\left[{X}^0(1)-\frac{6061.948}{-0.042}\right]\left({e}^{0.042t}-{e}^{0.042\left(t-1\right)}\right) \)

MAZOWIECKIE

\( {\hat{X}}^0\left(t+1\right)=\left[{X}^0(1)-\frac{8843.804}{-0.0555}\right]\left({e}^{0.055t}-{e}^{0.0555\left(t-1\right)}\right) \)

OPOLSKIE

\( {\hat{X}}^0\left(t+1\right)=\left[{X}^0(1)-\frac{2193.076}{-0.0514}\right]\left({e}^{0.0514t}-{e}^{0.0514\left(t-1\right)}\right) \)

PODKARPACKIE

\( {\hat{X}}^0\left(t+1\right)=\left[{X}^0(1)-\frac{4066.862}{-0.047}\right]\left({e}^{0.047t}-{e}^{0.047\left(t-1\right)}\right) \)

PODLASKIE

\( {\hat{X}}^0\left(t+1\right)=\left[{X}^0(1)-\frac{2206.915}{-0.019}\right]\left({e}^{0.019t}-{e}^{0.019\left(t-1\right)}\right) \)

POMORSKIE

\( {\hat{X}}^0\left(t+1\right)=\left[{X}^0(1)-\frac{5267.882}{-0.024}\right]\left({e}^{0.024t}-{e}^{0.024\left(t-1\right)}\right) \)

ŚLĄSKIE

\( {\hat{X}}^0\left(t+1\right)=\left[{X}^0(1)-\frac{11469.032}{-0.022}\right]\left({e}^{0.022t}-{e}^{0.022\left(t-1\right)}\right) \)

ŚWIĘTOKRZYSKIE

\( {\hat{X}}^0\left(t+1\right)=\left[{X}^0(1)-\frac{3144.951}{-0.031}\right]\left({e}^{0.031t}-{e}^{0.031\left(t-1\right)}\right) \)

WARMIŃSKO-MAZURSKIE

\( {\hat{X}}^0\left(t+1\right)=\left[{X}^0(1)-\frac{4031.232}{0.015}\right]\left({e}^{-0.015t}-{e}^{-0.015\left(t-1\right)}\right) \)

WIELKOPOLSKIE

\( {\hat{X}}^0\left(t+1\right)=\left[{X}^0(1)-\frac{8019.070}{-0.006}\right]\left({e}^{0.006t}-{e}^{\mathrm{0..006}\left(t-1\right)}\right) \)

ZACHODNIOPOMORSKIE

\( {\hat{X}}^0\left(t+1\right)=\left[{X}^0(1)-\frac{3296.178}{0.005}\right]\left({e}^{-0.005t}-{e}^{-0.005\left(t-1\right)}\right) \)