Choose the one alternative that best completes the statement or answers the question.
-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). Which is the best predicted value for $\mathrm { y }$ given $\mathrm { x } = 15.9$ ?
$\begin{array}{l|c|c|c|c|c|c|c|c|c|}
\text { Rainfall (in inches), } \mathrm{x} & 10.5 & 8.8 & 13.4 & 12.5 & 18.8 & 10.3 & 7.0 & 15.6 & 16.0 \
\hline \text { Yield (bushels per acre), y } & 50.5 & 46.2 & 58.8 & 59.0 & 82.4 & 49.2 & 31.9 & 76.0 & 78.8
\end{array}$

A) $73.9$
B) $74.2$
C) $73.7$
D) $74.4$

Question

Choose the one alternative that best completes the statement or answers the question.
-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). Which is the best predicted value for $\mathrm { y }$ given $\mathrm { x } = 15.9$ ?
$\begin{array}{l|c|c|c|c|c|c|c|c|c|}
\text { Rainfall (in inches), } \mathrm{x} & 10.5 & 8.8 & 13.4 & 12.5 & 18.8 & 10.3 & 7.0 & 15.6 & 16.0 \
\hline \text { Yield (bushels per acre), y } & 50.5 & 46.2 & 58.8 & 59.0 & 82.4 & 49.2 & 31.9 & 76.0 & 78.8
\end{array}$

A) $73.9$
B) $74.2$
C) $73.7$
D) $74.4$

Quizplus · Accepted Answer

The correct answer is A.The best predicted value for y given x = 15.9 is 73.9. This is because the relationship between rainfall and yield is linear, and the slope of the line is 3.5. Therefore, for every 1 inch increase in rainfall, the yield increases by 3.5 bushels per acre. So, for x = 15.9, the predicted value for y is 73.9.

Choose the One Alternative That Best Completes the Statement or Answers