Find the Least-Squares Regression Line and Use the Line to Make

question 116

Multiple Choice

Find the Least-Squares Regression Line and Use the Line to Make Predictions
-In an area of the Great Plains, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre) . Find the equation of the regression line for the given data.
$\begin{array}{l|c|c|c|c|c|c|c|c|c|}\text { Rainfall (in inches) , } x & 10.5 & 8.8 & 13.4 & 12.5 & 18.8 & 10.3 & 7.0 & 15.6 & 16.0 \\\hline \text { Yield (bushels per acre) , y } & 50.5 & 46.2 & 58.8 & 59.0 & 82.4 & 49.2 & 31.9 & 76.0 & 78.8\end{array}$

• A) \(\hat { y } = 4.379 \mathrm { x } + 4.267\)
• B) \(\hat { y } = - 4.379 \mathrm { x } + 4.267\)
• C) \(\hat { y } = 4.267 \mathrm { x } + 4.379\)
• D) \(\hat { y } = 4.267 x - 4.379\)

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