### Step-by-Step Solution:
1. What is the dependent variable?
- The dependent variable is the "Number of Developing Clams."
2. What is the independent variable?
- The independent variable is the "Water Temperature (°C)."
3. What is the optimum temperature for clam development?
- The optimum temperature for clam development is the temperature with the highest number of developing clams. Based on the given data, the maximum number of developing clams is 140 at 30°C.
Therefore, the optimum temperature for clam development is 30°C.
4. What is the mean number of clams per sample?
- To find the mean number of clams per sample, we take the average of the given data points for the number of developing clams.
Given Data: [72, 92, 120, 140, 99, 72, 36, 0]
Mean = (72 + 92 + 120 + 140 + 99 + 72 + 36 + 0) / 8
Simplifying the sum: 631
Dividing by the number of data points: 631 / 8 = 78.875
Therefore, the mean number of clams per sample is 78.875.
5. Approximately how many clams would be developing in 10-degree Celsius water?
- To estimate the number of developing clams at 10°C, we can use linear interpolation based on the given data points.
From the data given, a 10°C water temperature will yield an estimated 72 developing clams based on interpolation.
Therefore, approximately 72 clams would be developing in 10-degree Celsius water.
6. What is it called when you make predictions about data not yet recorded, such as the prediction we made in question number 5?
- When making predictions about data not yet recorded, it is called "Extrapolation."
