Part A:
Choose the type of curve: Depending on the scatter plot, you might choose a linear, quadratic, exponential, or another type of curve. The choice depends on the trend shown by the data points.
Identify variables: Typically, the independent variable ( x ) would represent the year, and the dependent variable ( y ) would represent the panther population.
Calculate the curve: Use statistical software or methods like the method of least squares to find the best-fitting curve for your data.
Part B:
Use the equation: Plug in the year 2019 into your curve’s equation to calculate the predicted population.
Show work: Provide each step of your calculation, substituting the value of ( x ) with 2019.
Part C:
Predict for 2039: Use the same model to predict the population for the year 2039.
Evaluate appropriateness: Consider if the model is still valid for such a long-term prediction. Factors like changes in environment, conservation efforts, or unforeseen events could affect the accuracy.