\begin{table}[H]
\centering
\caption{Scalar approximation of direct, indirect and total amenity effects in the median 2SQR}
\label{tab:effects}
\begin{threeparttable}
\small
\begin{tabular}{lcccr}
\toprule
Amenity indicator & Direct $\approx \hat\beta_k$ & Indirect $\approx \hat\rho\hat\beta_k/(1-\hat\rho)$ & Total $\approx \hat\beta_k/(1-\hat\rho)$ & Total, \$ at median \\
\midrule
\multicolumn{5}{l}{\textit{Single-family houses} ($\hat\rho(0.50) = 0.291$, $1/(1-\hat\rho) = 1.410$, median price \$579,000)} \\
\quad Highway & 0.057 & 0.024 & 0.081 & $+$48,767 \\
\quad Hospital & $-$0.006 & $-$0.002 & $-$0.008 & $-$4,635 \\
\quad Park & 0.042 & 0.017 & 0.060 & $+$35,626 \\
\quad School & $-$0.072 & $-$0.029 & $-$0.101 & $-$55,569 \\
\quad Transit & 0.071 & 0.029 & 0.100 & $+$60,914 \\
\quad Golf course & 0.023 & 0.010 & 0.033 & $+$19,356 \\
\quad Garage & 0.091 & 0.037 & 0.129 & $+$79,543 \\
\midrule
\multicolumn{5}{l}{\textit{Condominiums} ($\hat\rho(0.50) = 0.203$, $1/(1-\hat\rho) = 1.254$, median price \$425,000)} \\
\quad Highway & $-$0.002 & $-$0.001 & $-$0.003 & $-$1,251 \\
\quad Hospital & 0.024 & 0.006 & 0.029 & $+$12,726 \\
\quad Park & 0.005 & 0.001 & 0.006 & $+$2,620 \\
\quad School & $-$0.017 & $-$0.004 & $-$0.021 & $-$8,898 \\
\quad Transit & 0.024 & 0.006 & 0.030 & $+$13,121 \\
\quad Golf course & $-$0.041 & $-$0.010 & $-$0.051 & $-$21,205 \\
\quad Garage & 0.130 & 0.033 & 0.163 & $+$75,116 \\
\midrule
\multicolumn{5}{l}{\textit{Multiplexes} ($\hat\rho(0.50) = 0.131$, $1/(1-\hat\rho) = 1.151$, median price \$799,000)} \\
\quad Highway & 0.043 & 0.006 & 0.049 & $+$40,228 \\
\quad Hospital & 0.024 & 0.004 & 0.028 & $+$22,517 \\
\quad Park & 0.029 & 0.004 & 0.033 & $+$26,804 \\
\quad School & $-$0.129 & $-$0.019 & $-$0.148 & $-$110,219 \\
\quad Transit & 0.098 & 0.015 & 0.113 & $+$95,646 \\
\quad Golf course & $-$0.023 & $-$0.004 & $-$0.027 & $-$21,111 \\
\quad Garage & 0.030 & 0.004 & 0.035 & $+$28,140 \\
\midrule
\multicolumn{5}{l}{\textit{Vacant land} ($\hat\rho(0.50) = 0.322$, $1/(1-\hat\rho) = 1.475$, median price \$150,000)} \\
\quad Highway & 0.324 & 0.154 & 0.477 & $+$91,709 \\
\quad Hospital & $-$0.011 & $-$0.005 & $-$0.016 & $-$2,441 \\
\quad Park & 0.066 & 0.031 & 0.097 & $+$15,322 \\
\quad School & $-$0.018 & $-$0.009 & $-$0.027 & $-$4,003 \\
\quad Transit & 0.349 & 0.166 & 0.515 & $+$101,101 \\
\quad Golf course & 0.045 & 0.021 & 0.067 & $+$10,331 \\
\bottomrule
\end{tabular}
\begin{tablenotes}
\small
\item \textit{Notes:} Scalar approximations of equation~\eqref{eq:effects} evaluated at $\tau = 0.50$; the dollar column is $\tilde P_{0.50}\,[\exp(\text{Total}) - 1]$ with $\tilde P_{0.50}$ the median asking price of the segment. The log labels $\hat\beta_k/(1-\hat\rho)$ ``direct''; it is the total effect of the scalar approximation, and the columns are relabelled accordingly (direct $+$ indirect $=$ total). No standard errors are available (Section~\ref{sec:limitations}). All entries are parsed from \texttt{results/sqr\_multi\_segment\_output.txt}, the preserved log of the original run of \texttt{scripts/05\_sqr\_multi\_segment.py}, by \texttt{scripts/06\_tables\_figures\_from\_log.py}.
\end{tablenotes}
\end{threeparttable}
\end{table}