A Company Keeps Extensive Records on Its New Salespeople on the Premise

question 99

Essay

A company keeps extensive records on its new salespeople on the premise that sales should increase with experience. A random sample of seven new salespeople produced the data on experience and sales shown in the table.

$\begin{array}{c|c}\text { Months on Job } & \begin{array}{c}\text { Monthly Sales } \\y \text { (\$ thousands) }\end{array} \\\hline 2 & 2.4 \\4 & 7.0 \\8 & 11.3 \\12 & 15.0 \\1 & .8 \\5 & 3.7 \\9 & 12.0\end{array}$

Summary statistics yield $S S _ { x x } = 94.8571 , S S _ { x y } = 124.7571 , S S _ { y y } = 176.5171 , \bar { x } = 5.8571$ , and $\bar { y } = 7.4571$ . State the assumptions necessary for predicting the monthly sales based on the linear relationship with the months on the job.

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Definitions:

Eudicot Seed

A seed type characteristic of a large grouping of flowering plants, distinguished by having two cotyledons (seed leaves).

Germination

refers to the process by which a plant grows from a seed or similar structure, often requiring specific environmental conditions to begin.

Cotyledons

Seed leaves in plants that store nutrients and supply them to the developing seedling during germination.

Endosperm

A tissue produced inside the seeds of most flowering plants around the time of fertilization. It provides nutrition in the form of starch, though it can also contain oils and protein, to the developing embryo.