Too Many Corn Plants per Acre? The more corn a farmer plants per acre, the greater the yield the farmer can expect, but only up to a point. Too many plants per acre can cause overcrowding and decrease yields. The data give crop yields per acre for various densities of corn plantings, as found by researchers at a university test farm.
(a) Find the quadratic polynomial that best fits the data.
(b) Draw a graph of the polynomial from part (a) together with a scatter plot of the data.
(c) Use your result from part (b) to estimate the yield for 37,000 plants per acre.
Density Crop yield