Question: An agricultural scientist used four test plots to determine the relationship between wheat yield y (in bushels per acre) and the amount of fertilizer x

An agricultural scientist used four test plots to determine the relationship between wheat yield y (in bushels per acre) and the amount of fertilizer x (in hundreds of pounds per acre). The table shows the results.

Fertilizer, x 1.0 | 1.5 | 2.0 | 2.5 32 | 41 | 48| 53 Yield, y

(a) Find the least squares regression line y = ax + b for the data by solving the system for a and b.

(b) Use the linear model from part (a) to estimate the yield for a fertilizer application of 160 pounds per acre.

Fertilizer, x 1.0 | 1.5 | 2.0 | 2.5 32 | 41 | 48| 53 Yield, y (4b + 7b + 13.5a = 322 7a = 174

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