## 3 Results
### Orthogonal Rotation Combination Design Test
#### 3.2.1 Establishment of the Regression Model and Analysis of Variance
Under the premise of ensuring that the model was significant and the lack of fit was not significant, the insignificant regression term was excluded. The regression equation optimization results were as follows:  
\[Y_{1}=82.66+3.75X_{1}-3.33X_{2}-1.25X_{3}+1.67X_{1}X_{2} \tag{7}\]  
\[-11.75X_{1}{}^{2}-5.91X_{2}{}^{2}-1.75X_{3}{}^{2} \tag{8}\]  
\[Y_{2}=9.65+6.25X_{1}+1.67X_{2}+1.25X_{3}+1.66X_{1}X_{2}-2.55X_{1}{}^{2}+6.62X_ {2}{}^{2} \tag{9}\]  
\[Y_{3}=89.72+14.61X_{2}+2.99X_{3}+1.72X_{2}X_{3}+4.02X_{2}{}^{2} \tag{10}\]  
The effect degree of each influencing factor on the rape uprooted removal rate \(Y_{1}\) is \(X_{1}\), \(X_{2}\) and \(X_{3}\) in descending order. Figure 4 shows the effect of the interaction term on \(Y_{1}\). Figure 4a shows that the rape uprooted removal rate increases and then decreases with the increase in output air pressure when the pulling angle is the same; the rape uprooted removal rate increases and then decreases with the increase in pulling angle when the output air pressure is the same. Figure 4b shows that the rape uprooted removal rate increases and then decreases with the increase in pulling speed when the output air pressure is constant; the rape uprooted removal rate increases and then decreases with the increase in output air pressure when the pulling speed is constant. Figure 4c shows that the rape uprooted removal rate increases and then decreases with the increase in pulling speed when the pulling angle is fixed; the rape uprooted removal rate increases and then decreases with the increase in pulling angle when the pulling speed is fixed. \begin{table}
\begin{tabular}{c c c c c c c c c c c c} \hline  & \multicolumn{3}{c}{**Rape Uprooted Removal Rate \(Y_{1}\)/\%**} & \multicolumn{3}{c}{**Rape Removal Breakage Rate \(Y_{2}\)/\%**} & \multicolumn{3}{c}{**Pulling Force \(Y_{3}\)/N**} \\ \cline{2-11}
**Source** & \multicolumn{2}{c}{**Sum of**} & \multirow{2}{*}{**df**} & \multirow{2}{*}{\(F\) **Value**} & \multirow{2}{*}{\(p\)**-Value**} & \multicolumn{2}{c}{**Sum of**} & \multirow{2}{*}{**df**} & \multirow{2}{*}{\(F\) **Value**} & \multirow{2}{*}{\(p\)**-Value**} & \multicolumn{2}{c}{**Sum of**} & \multirow{2}{*}{**df**} & \multirow{2}{*}{\(F\) **Value**} & \multirow{2}{*}{\(p\)**-Value**} \\  & & & & & & & & & & & & & \\  & **Squares** & & & & & & & & & & & \\ \hline Model & 1020.63 & 9 & 68.23 & \textless{}0.0001 & 568.69 & 9 & 37.96 & \textless{}0.0001 & 1874.5 & 9 & 126.88 & \textless{}0.0001 \\ \(X_{1}\) & 112.43 & 1 & 67.64 & \textless{}0.0001 & 312.38 & 1 & 187.67 & \textless{}0.0001 & 8.00 & 1 & 4.87 & 0.0630 \\ \(X_{2}\) & 88.91 & 1 & 53.49 & 0.0002 & 22.21 & 1 & 13.34 & 0.0081 & 1708.2 & 1 & 1040.63 & 0.0001 \\ \(X_{3}\) & 12.5 & 1 & 7.52 & 0.0288 & 12.5 & 1 & 7.51 & 0.0289 & 71.40 & 1 & 43.50 & 0.0003 \\ \(X_{1}X_{2}\) & 11.12 & 1 & 6.69 & 0.0361 & 11.09 & 1 & 6.66 & 0.0364 & 0.3600 & 1 & 0.2193 & 0.6538 \\ \(X_{1}X_{3}\) & 2.79 & 1 & 1.68 & 0.2363 & 2.77 & 1 & 1.67 & 0.2379 & 2.25 & 1 & 1.37 & 0.2800 \\ \(X_{2}{}^{3}\) & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0.997 & 11.90 & 1 & 7.25 & 0.0310 \\ \(X_{1}{}^{2}\) & 581.14 & 1 & 349.63 & \textless{}0.0001 & 28.12 & 1 & 16.9 & 0.0045 & 0.94 & 1 & 0.5727 & 0.4739 \\ \(X_{2}{}^{2}\) & 147.23 & 1 & 88.58 & \textless{}0.0001 & 182.61 & 1 & 109.7 & \textless{}0.0001 & 67.45 & 1 & 41.09 & 0.0004 \\ \(X_{2}{}^{2}\) & 12.91 & 1 & 7.76 & 0.027 & 2.36 & 1 & 1.42 & 0.273 & 3.06 & 1 & 1.86 & 0.2144 \\ Residual & 11.64 & 7 & & & & & & & & & & \\ Lack of Fit & 2.76 & 3 & 0.4154 & 0.7518 & 2.78 & 3 & 0.4179 & 0.7503 & 6.74 & 3 & 1.89 & 0.2719 \\ Pure Error & 8.87 & 4 & & & & & & & & & & \\ Cor Total & 1032.26 & 16 & & & & & & & & 1886 & 16 & \\ \hline \end{tabular}
\end{table} 
Table 9: Analysis of variance and significance test. According to the response diagram of the test factors to \(Y_{1}\), the change rule of the response surface is consistent with the results of variance analysis (Table 9) and regression Equation (4). When the output air pressure, pulling angle, and pulling speed are moderate, the rape uprooted removal rate is higher.