**Table 2:** Correlation coefficients (r), number of stars used to define the upper envelope (N), parameters of the linear, exponential and power law weighted fits to the data upper envelope of $A_{\max}-P$ and $A_{\max}-R_{\rm 0}$ relations and reduced chi-squares ( $\chi ^2_{\rm\nu }$ ).
$\begin{displaymath}\begin{tabular}{@{\hspace{.1cm}}l@{\hspace{.1cm}}r@{\hspace{.... ...l}{$^a$ Upper envelope 1. $^b$ Upper envelope 2.} \end{tabular}\end{displaymath}$

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