A Manager Wishes to Determine the Relationship Between the Number

question 15

Multiple Choice

A manager wishes to determine the relationship between the number of miles traveled (in hundreds of miles) by her sales representatives and their amount of sales (in thousands of dollars) per month. Find the equation ofthe regression line for the given data. What would be the predicted sales if the sales representative traveled 0miles? Is this reasonable? Why or why not? Round the regression line values to the nearest hundredth. $\begin{array}{|l|c|c|c|c|c|c|c|c|c|}\text { Miles traveled, } \mathrm{x} & 2 & 3 & 10 & 7 & 8 & 15 & 3 & 1 & 11 \\\hline \text { Sales, } \mathrm{y} & 31 & 33 & 78 & 62 & 65 & 61 & 48 & 55 & 120 \\\hline\end{array}$

• A) \(\hat { \mathrm { y } } = 3.53 \mathrm { x } + 37.92 ; \$ 37,920\); No; it is not reasonable for a representative to travel 0 miles and have a positive amount of sales.
• B) \(\hat { y } = 3.53 x + 37.92 ; \$ 3792 ;\) No; it is not reasonable for a representative to travel 0 miles and have a positive amount of sales.
• C) \(\hat { y } = 3.53 \mathrm { x } + 37.92 ; \$ 37,920\); Yes, it is reasonable.
• D) \(\hat { y }= 37.92 \mathrm { x } + 3.53 ; \$ 3792 ; \mathrm { Yes }\), it is reasonable.

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Definitions:

Flagellum

A whip-like structure present in some cells that is used for locomotion or sensory functions.

Amanita

A genus of mushrooms, which includes both highly toxic species, such as the death cap, and edible species.

Saccharomyces

Saccharomyces is a genus of yeasts, most notably including Saccharomyces cerevisiae, widely used in baking, brewing, and wine making.

Ascomycete

A member of the Ascomycota phylum, fungi characterized by their production of spores in sac-like structures called asci.