Find the Explained Variation for the Paired Data $\hat { y } = - 181.342 + 144.46 x$

question 71

Multiple Choice

Find the explained variation for the paired data.
-The paired data below consists of heights and weights of 6 randomly selected adults. The equation of the regression line is $\hat { y } = - 181.342 + 144.46 x$ . Find the explained variation.
$\begin{array}{c|rrrrrr}x \text { Height (meters) } & 1.61 & 1.72 & 1.78 & 1.80 & 1.67 & 1.88 \\\hline y \text { Weight }(\mathrm{kg}) & 54 & 62 & 70 & 84 & 61 & 92\end{array}$

• A) \(100.06\)
• B) \(979.44\)
• C) \(1149.2\)
• D) \(1079.5\)

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Definitions:

Margin of Safety

Margin of Safety represents the difference between actual sales and break-even sales, indicating the amount by which sales can decrease before a business incurs a loss.

Break-Even Point

The point at which total costs equal total revenues, indicating that a business is not making a profit but also not incurring a loss.

Variable Cost

Costs that vary in direct proportion to changes in a business’s level of activity or volume of output produced, such as materials and labor.

Differential Cost

The difference in cost between two alternative decisions or scenarios.