Certainly! Let's analyze the data and understand what Gregory aimed to determine from his experiment.
Here is the table that Gregory provided:
[tex]\[
\begin{array}{|c|c|c|c|}
\hline
\text{Amount of Fertilizer (kg)} & \text{Fertilizer A Weekly Average Growth (cm)} & \text{Fertilizer B Weekly Average Growth (cm)} & \text{Fertilizer C Weekly Average Growth (cm)} \\
\hline
1 & 2.8 & 2.5 & 3.8 \\
\hline
1.5 & 4.6 & 3.3 & 5.1 \\
\hline
2 & 1.3 & 1.8 & 2.5 \\
\hline
2.5 & 0.3 & 0.2 & 0.5 \\
\hline
\end{array}
\][/tex]
Gregory's table details the weekly average growth of plants when different amounts of three types of fertilizers (A, B, and C) are applied. The measured quantities are the average growth in centimeters per week for each fertilizer type.
Step-by-Step Analysis:
1. Identify Variables:
- Independent variable: Amount of fertilizer (in kg).
- Dependent variable: Average weekly growth of plants (in cm).
2. Observing Trends:
- Fertilizer A: Growth increases from 2.8 cm at 1 kg to 4.6 cm at 1.5 kg, then sharply decreases beyond that.
- Fertilizer B: Growth increases from 2.5 cm at 1 kg to 3.3 cm at 1.5 kg, then decreases afterward.
- Fertilizer C: Growth increases from 3.8 cm at 1 kg to 5.1 cm at 1.5 kg, then decreases significantly.
3. Determine Aim:
- Gregory likely wants to determine the optimal amount of fertilizer to use for the best plant growth and to compare the effectiveness of different fertilizers.
4. Analysis Conclusion:
- The highest growth for all three fertilizers occurs at 1.5 kg. Beyond this point, the growth significantly decreases, indicating possible over-fertilization.
Conclusion:
Based on the table, Gregory wanted to determine the effect of different amounts of fertilizer on the weekly average growth of plants using three types of fertilizers.
This information helps understand the optimal fertilizer amount and the effectiveness of each fertilizer type, crucial for practical applications in gardening and agriculture.
