An Agronomist Used Four Test Plots to Determine the Relationship $y$

Multiple Choice

An agronomist used four test plots to determine the relationship between the wheat yield $y$ (in bushels per acre) and the amount of fertilizer $x$ (in pounds per acre) . The results are shown in the table. $\begin{array} { | c | c | c | c | c | } \hline \text { Fertilizer, } x & 100 & 150 & 200 & 250 \\\hline \text { Yield, } y & 35 & 44 & 50 & 56 \\\hline\end{array}$ (a) Use the regression capabilities of a graphing utility or a spreadsheet to find the least squares regression line for the data. (b) Estimate the yield for a fertilizer application of 160 pounds per acre.

A) $y = 0.15 x + 15.1$
B) $y = 0.155 x + 21.1$
C) $y = 0.138 x + 22.1$
D) $y = 0.052 x + 34$
E) $y = 0.234 x + 17.5$