In farming, the relationship between precipitation during the growing season and crop yield is quadratic. The following table shows the amount of rainfall (in inches) with corresponding soybean crop yields (in bushels per acre) for an agricultural region. Rainfall Crop Yield
2.25 42.1
2.75 43.0
3.25 43.8
3.75 44.2
4.25 44.5
4.75 44.3
5.25 43.5
Create and analyze a scatter plot for this set of data, including the quadratic regression line you found, for reference. For what values of x, representing amount of rainfall, do you think this model makes sense? In two or more complete sentences, explain your reasoning.