To Investigate the Relationship Between Yield of Potatoes, Y, and Level

question 1

Essay

To investigate the relationship between yield of potatoes, y, and level of fertilizer application, x, a researcher divides a field into eight plots of equal size and applies differing amounts of fertilizer to each. The yield of potatoes (in pounds) and the fertilizer application (in pounds) are recorded for each plot. The data are as follows:

$\begin{array}{l|cccccccc}\hline x & 1 & 1.5 & 2 & 2.5 & 3 & 3.5 & 4 & 4.5 \\\hline y & 25 & 31 & 27 & 28 & 36 & 35 & 32 & 34 \\\hline\end{array}$
Summary statistics yield $S S _ { x x } = 10.5 , S S _ { y y } = 112 , S S _ { x y } = 25 , \bar { x } = 2.75$ , and $\bar { y } = 31$ . Find the least squares prediction equation.

---

Definitions:

Common-Carrier Delivery Contract

A type of contract in which purchased goods are delivered to the buyer via an independent contractor, such as a trucking line.

Independent Contractor

An individual or entity contracted to perform work for another entity as a non-employee.

Agent

An individual or entity authorized to act on behalf of another, often in a business or legal context.

Goods-In

Refers to incoming goods; a term used in inventory management to describe goods that have been received but not yet processed.