The equation that fits the provided data points based on a 4th-degree polynomial is:

$y = 1.63x^4 - 71.25x^3 + 1009.23x^2 + 2323.33x + 65273.69$

This polynomial function provides a good fit for the given data, as visualized in the plot. You can use this equation to estimate $y$ for any $x$ within the given range.

Would you like further details on this process or explanations of specific steps?

Here are some related questions you might consider:

1. How would this equation behave outside the provided range?
2. Can we try fitting the data using a different type of function (e.g., exponential)?
3. How do polynomial degrees affect the accuracy of a fit?
4. What is the meaning of each coefficient in a polynomial function?
5. How can we test the accuracy of this model for future data?

Tip: Increasing the degree of a polynomial improves accuracy within the range but may lead to overfitting, especially outside the observed data points.