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
Use a quadratic regression calculator to write a quadratic function that provides a reasonable fit to this set of data. According to the function model, about how many bushels per acre of soybeans would you expect if there was 5 inches of rain during the growing season?
