Choose the one alternative that best completes the statement or answers the question.
-In one 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:
$\begin{array}{l|ccccccccc}
\text { Rain Fall, } & 13.1 & 11.4 & 16.0 & 15.1 & 21.4 & 12.9 & 9.6 & 18.2 & 18.6 \
\hline \text { Yield, y } & 48.5 & 44.2 & 56.8 & 80.4 & 47.2 & 29.9 & 74.0 & 74.0 & 76.8
\end{array}$

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 17 inches of rain?
A) $65.34$
B) $5.96$
C) $61.18$
D) $52.06$

Question

Choose the one alternative that best completes the statement or answers the question.
-In one 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:
$\begin{array}{l|ccccccccc}
\text { Rain Fall, } & 13.1 & 11.4 & 16.0 & 15.1 & 21.4 & 12.9 & 9.6 & 18.2 & 18.6 \
\hline \text { Yield, y } & 48.5 & 44.2 & 56.8 & 80.4 & 47.2 & 29.9 & 74.0 & 74.0 & 76.8
\end{array}$

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 17 inches of rain?
A) $65.34$
B) $5.96$
C) $61.18$
D) $52.06$

Quizplus · Accepted Answer

To predict the yield of wheat per acre for 17 inches of rain using the given least squares line equation $y = -9.12 + 4.38x$, substitute $x = 17$:$$y = -9.12 + 4.38(17) = -9.12 + 74.46 = 65.34$$ bushels per acre.

Choose the One Alternative That Best Completes the Statement or Answers