## 3 Results
### Regression Analysis of Maximum-Correlation Scale Factors and Spatial Perception  
This paper investigates the influence of two scale combinations, aspect ratio \(\mathrm{L}/\mathrm{D}\) and aspect ratio \(\mathrm{D}/\mathrm{H}\), which are considered the most influential. The study examines the relationship between each scale factor and its highly correlated perception to determine the appropriate range. The analysis uses SPSS, where the three two-dimensional scale combinations with the highest correlation coefficients are regressed against their corresponding highly correlated perceptions, and fitting curves are plotted. Since the independent variable consists of two scale elements, it is possible to categorize it based on one of the remaining scale elements, resulting in multiple fitted curves on the graph. The corresponding range of appropriateness under the scale difference can be derived by applying the judgment law of appropriate perception states. The derived range of appropriateness is presented in Table 6 (a-e). \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline  & **Length** & **Width** & **Height** & **Openness** & **Stability** & **Comfort** \\  & **Perception** & **Perception** & **Perception** & **Perception** & **Perception** & **Perception** \\ \hline Maximum-relevance & \(\mathrm{L}/\mathrm{D}\) & \(\mathrm{D}/\mathrm{H}\) & \(\mathrm{D}/\mathrm{H}\) & \(\mathrm{D}/\mathrm{H}\) & \(\mathrm{L}/\mathrm{D}\) & \(\mathrm{L}/\mathrm{D}\) \\ scale factor & \(\mathrm{L}/\mathrm{D}\) & \(\mathrm{D}/\mathrm{H}\) & \(\mathrm{D}/\mathrm{H}\) & \(\mathrm{D}/\mathrm{H}\) & \(\mathrm{L}/\mathrm{D}\) & \(\mathrm{L}/\mathrm{D}\) \\ Pearson & 0.854 ** & 0.960 ** & 0.941 ** & 0.849 ** & \(-\)0.801 ** & \(-\)0.679 ** \\ \hline \hline \end{tabular}  
* * Significant correlation at the 0.01 level (two-tailed).  
\end{table} 
Table 5: Summary of maximum-relevance scale combination factors. Based on the judgment law of the appropriate perception state and combined with the fitting curve diagram, calculations were made to determine the L/D ranges when the length perception and the stability perception reached the appropriate state individually, as well as the L/D range when both of them reached the appropriate state together. Additionally, the overall appropriateness range at different heights was also determined. Table 7 presents these findings. For a height of 3 m, the appropriate range of L/D was found to be 9.2-14.3. Similarly, for a height of 3.5 m, the appropriate range of L/D was 8.5-13.0. The appropriate range for a height of 4.0 m was 8.3-11.6; for a height of 4.5 m, it was 7.6-11.2; and for a height of 5.0 m, it was 7.0-10.0. By examining the intersection of these ranges, it was discovered that the L/D range of 9.0-10.0 was achieved when both types of perception reached the appropriate state across all height ranges. Therefore, the final determined L/D range was 9.2-10.0. Based on the judgment law of the appropriate perception state and combined with the fitting curve diagram, the D/H range was calculated when the width perception, height perception, and openness perception reached the appropriate state, respectively, under different lengths. Table 8 shows the calculated D/H range when all three reached the appropriate state together and the overall appropriate range. For a length of 35 m, the \begin{table}
\begin{tabular}{c c c c c c} \hline \hline  & \multicolumn{5}{c}{**L/D**} \\ \cline{2-6}  & **H = 3.0 m** & **H = 3.5 m** & **H = 4.0 m** & **H = 4.5 m** & **H = 5.0 m** & **H = 3.0 m** \\ \hline length range & 9.2–14.3 & 8.5–14.0 & 8.3–13.5 & 7.6–13.2 & 7.0–12.5 & 9.2–14.3 \\ stability range & 4.0–17.1 & 4.0–13.5 & 4.0–11.6 & 4.0–11.2 & 4.0–10.0 & 4.0–17.1 \\ length/stability range & 9.2–14.3 & 8.5–13.0 & 8.3–11.6 & 7.6–11.2 & 7.0–10.0 & 9.2–14.3 \\ overall range & & & & 9.2–10.0 & & \\ \hline \hline \end{tabular}
\end{table} 
Table 7: Appropriate range of L/D for aspect ratios. appropriate range of D/H was 1.1-1.3. For a length of 45 m, the appropriate range of D/H was 1.1-1.4.