Find the Least-Squares Regression Line and Use the Line to Make

question 116

Multiple Choice

Find the Least-Squares Regression Line and Use the Line to Make Predictions
-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) . Find the equation of the regression line for the given data.
$\begin{array}{l|c|c|c|c|c|c|c|c|c|}\text { Rainfall (in inches) , } x & 10.5 & 8.8 & 13.4 & 12.5 & 18.8 & 10.3 & 7.0 & 15.6 & 16.0 \\\hline \text { Yield (bushels per acre) , y } & 50.5 & 46.2 & 58.8 & 59.0 & 82.4 & 49.2 & 31.9 & 76.0 & 78.8\end{array}$

• A) \(\hat { y } = 4.379 \mathrm { x } + 4.267\)
• B) \(\hat { y } = - 4.379 \mathrm { x } + 4.267\)
• C) \(\hat { y } = 4.267 \mathrm { x } + 4.379\)
• D) \(\hat { y } = 4.267 x - 4.379\)

---

Definitions:

Wages Paid

The total amount of money paid to employees for work performed, typically expressed as an hourly rate or salary.

Finished Product

Goods that have completed the manufacturing process and are ready to be sold to consumers.

Direct Labor Costs

These are the wages paid to workers directly involved in the production of goods or the provision of services.

Conversion Costs

The costs required to convert raw materials into finished products, typically including labor and manufacturing overhead.