Choose the One Alternative That Best Completes the Statement or Answers

question 159

Multiple Choice

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) \(8.93\)

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Definitions:

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