## 3 Results and Discussion
On the other hand, the number of aggregates positively influence the Height (Figure 3b), LA (Figure 3c), and SR (Figure 3b). According to Figure 3a,c, FW and LA are influenced only by the number of aggregates. This variable also has a positive effect when in combination with LED, indicating that the appropriate conditions of artificial light can promote a beneficial effect of the core-shell aggregate on plant growth. The synergic effect of LED and Aggregates Number is positive for Height (Figure 3b) and C (Figure 3d) and is negative for the SR (Figure 3e). Finally, it appears that the number of aggregates generally has a greater effect than that given by the LED-aggregates number. To summarize, the number of aggregates itself promotes higher plants with larger leaves and fresh weight, but also with a lower carbon content, suggesting that the higher amount of nutrients is not totally favorable to the development of new organic matter, even if it promotes other morphologic characteristics. The synergy of the number of aggregates with LED promotes higher plants with a greater content of carbon, indicating that the appropriate combination of nutrient amount and light condition can influence both the morphology and nutraceuticaltical characteristics of plants. This combination is also useful for tailoring the characteristics of plants at the moment of harvest, depending on the grower's needs. \begin{table}
\begin{tabular}{l c c c c c} \hline \hline
**Response** & **F-Value** & **R\({}^{2}\)** & **Pred-R\({}^{2}\)** & **Coefficients Name** & \\  & & & & **and \(p\)-Value** & **Value** \\ \hline FW (g) ** & 60.76 & 0.64 & 0.51 & Aggregates Number (\(<\)0.0001) & \(-\)0.1080 \\ \hline Height (cm) & 16.92 & 0.62 & 0.38 & \begin{tabular}{c} Core (0.0012) \\ Aggregates Number (\(<\)0.0001) \\ LED-Aggregates Number (0.0056) \\ \end{tabular} & +0.0287 \\ \hline LA (cm\({}^{2}\)) & 48.80 & 0.59 & 0.44 & Aggregates Number (\(<\)0.0001) & +3.3200 \\ \hline C (\%) & 9.84 & 0.38 & 0.01 & \begin{tabular}{c} Aggregates Number (0.0015) \\ LED-Aggregates Number (0.0024) \\ \end{tabular} & \begin{tabular}{c} \(-\)0.8182 \\ +0.6038 \\ \end{tabular} \\ \hline SR (\%) & 11.11 & 0.41 & 0.08 & \
\begin{tabular}{c} Aggregates Number (0.0005) \\ LED-Aggregates Number (0.0019) \\ \end{tabular} &
\begin{tabular}{c} \(+\)0.0149 \\ \(-\)0.0091 \\ \end{tabular} \\ \hline \hline \end{tabular}  
* all the responses’ residuals are not significant having \(p\)-value \(>\) 0.01. ** To this response a mathematical transformation (1/Y) has been applied to all the data for normalization.  
\end{table} 
Table 9: ANOVA results for the significant response variables. Figures 4 and 5 show the graphical expression of the mathematical models calculated for each of the five significant responses as indicated in Table 9. Figure 6 shows qualitatively the morphology of plants grown with a different number of aggregates. The model for FW (Figure 4a) suggests a non-linear increase of that property when the number of aggregates increases. More precisely, the average fresh weight of lettuce is equal to 1.79 g when zero aggregates are used and is equal to 2.96 g when six aggregates are used, with an increase of FW equal to 65%. This indicates a general positive correlation between the amount of fertilizer added and the FW developed by the plants, promoting the hypothesis that both fertilizers have a good action on the growth of lettuce. This is a positive effect, since  
Figure 3: ANOVA coefficients for the influence of input variables on response variable, namely (**a**) fresh weight, (**b**) plant height, (**c**) leaf area, (**d**) organic carbon content, and (**e**) solid residue. (**f**) legend of input variables. lettuce plants with higher fresh mass means a higher yield. In this case, the type of fertilizer does not have an effect on the accumulation of a fresh mass of lettuce. This means that the presence of the fertilizer glass does not affect the yield of lettuce, so the use of the fertilizer glass is not strictly recommended for the increase of fresh lettuce mass.