Four test plots were used to explore the relationship between wheat yield y (in bushels
Chapter 8, Problem 89(choose chapter or problem)
Four test plots were used to explore the relationship between wheat yield y (in bushels per acre) and amount of fertilizer applied x (in hundreds of pounds per acre). The results are given by the ordered pairs (1.0, 32), (1.5, 41), (2.0, 48), and (2.5, 53).
(a) Find the least squares regression line y = ax + b for the data by solving the system for a and b.
\(\left\{\begin{array}{l} 4 b+7.0 a=174 \\ 7 b+13.5 a=322 \end{array}\right. \)
(b) Use the regression feature of a graphing utility to confirm the result in part (a).
(c) Use the graphing utility to plot the data and graph the linear model from part (a) in the same viewing window.
(d) Use the linear model from part (a) to predict the yield for a fertilizer application of 160 pounds per acre.
Text Transcription:
{4b+7.0a=174 _7b+13.5a=322
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