An Architect Wants to Determine the Relationship Between the Height $n$

question 5

Essay

An architect wants to determine the relationship between the height (in feet) and $n$ of stories in a building. The data for a sample of 10 buildings in Pittsburgh are sh
a. Draw the scatter plot for the variables.
b. Give a brief explanation of the type of relationship.
$\begin{array} { c c } \text { Stories } x & \text { Height } y \\ 64 & 841 \\ 54 & 725 \\ 40 & 635 \\ 31 & 616 \\ 45 & 615 \\ 38 & 582 \\ 42 & 535 \\ 41 & 520 \\ 37 & 511 \\ 40 & 485 \end{array}$

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Definitions:

Variable Manufacturing Costs

These costs vary directly with the level of production output and include expenses such as raw materials, direct labor, and certain overheads.

Fixed Manufacturing

Costs that do not vary with the level of production or sales, associated with the operation of a production facility.

Break-Even Level of Sales

The sales amount at which a company's total revenues equal its total expenses, resulting in no net profit or loss.

Variable Production Costs

Costs that fluctuate with the level of production output, including direct materials, direct labor, and variable manufacturing overhead.