Choose the one alternative that best completes the statement or answers the question.
-In an area of Russia, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre). The data for a 9 year period is as follows:
$\begin{array}{l|ccccccccc}
\text { Rain Fall, x } & 13.1 & 11.4 & 16.0 & 15.1 & 21.4 & 12.9 & 9.6 & 18.2 & 18.6 \
\hline \text { Yield, y } & 48.5 & 44.2 & 56.8 & 80.4 & 47.2 & 29.9 & 74.0 & 74.0 & 76.8
\end{array}$

The equation of the line of least squares is given as $\mathrm { y } = - 9.12 + 4.38 \mathrm { x }$. How many bushels of wheat per acre can be predicted if it is expected that there will be 30 inches of rain?
A) Cannot be certain of the result because 30 inches of rain exceeds the observed data.
B) $122.28$
C) $140.52$
D) $8.93$

Question

Choose the one alternative that best completes the statement or answers the question.
-In an area of Russia, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre). The data for a 9 year period is as follows:
$\begin{array}{l|ccccccccc}
\text { Rain Fall, x } & 13.1 & 11.4 & 16.0 & 15.1 & 21.4 & 12.9 & 9.6 & 18.2 & 18.6 \
\hline \text { Yield, y } & 48.5 & 44.2 & 56.8 & 80.4 & 47.2 & 29.9 & 74.0 & 74.0 & 76.8
\end{array}$

The equation of the line of least squares is given as $\mathrm { y } = - 9.12 + 4.38 \mathrm { x }$. How many bushels of wheat per acre can be predicted if it is expected that there will be 30 inches of rain?
A) Cannot be certain of the result because 30 inches of rain exceeds the observed data.
B) $122.28$
C) $140.52$
D) $8.93$

Quizplus · Accepted Answer

The equation of the line of least squares is given as y = - 9.12 + 4.38 x. If it is expected that there will be 30 inches of rain, then the predicted yield of wheat per acre is y = - 9.12 + 4.38 (30) = 122.28 bushels per acre.

Choose the One Alternative That Best Completes the Statement or Answers