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In an Area of the Midwest, Records Were Kept on the Relationship

Question 111

Multiple Choice

In an area of the Midwest, 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.  Rain fall (in inches) , x10.58.813.412.518.810.37.015.616.0 Yield (bushels per acre) , y 50.546.258.859.082.449.231.976.078.8\begin{array} { l | l | l | l | l | l | l | l | l | l } \text { Rain fall (in inches) , } \mathrm { 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) y^\hat { \mathrm { y } } = 4.379x + 4.267
B) y^\hat { \mathrm { y } } = -4.379x + 4.267
C) y^\hat{\mathrm { y }} = 4.267x + 4.379
D) y^\hat { \mathrm { y } } = 4.267x - 4.379

Correct Answer:

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