The Data in the Table Represent the Amount of Pressure

question 42

Multiple Choice

The data in the table represent the amount of pressure (psi) exerted by a stamping machine (x) , and the amount of scrap brass shavings (in pounds) that are collected from the machine each hour (y) .
Also shown below are the outputs from two different statistical technologies (TI-83/84 Calculator and Excel) . A scatterplot of the data confirms that there is a linear association. Report the equation for predicting scrap brass shavings using words such as scrap, not x and y. State the slope and
Intercept of the prediction equation. Round all calculations to the nearest thousandth. $\begin{array}{|c|r|}\hline x & y \\\hline 2.00 & 2.30 \\\hline 7.80 & 15.14 \\\hline 14.51 & 28.65 \\\hline 2.80 & 4.15 \\\hline 4.01 & 6.35 \\\hline 6.21 & 10.52 \\\hline 11.84 & 24.05 \\\hline 5.11 & 8.75 \\\hline 11.67 & 22.22 \\\hline 8.70 & 17.02 \\\hline\end{array}$

T-Test
$\begin{array} { l } y = a + b x \\a = - 2.018775528 \\b = 2.134464237 \\r ^ { 2 } = .996074796 \\r = .998035467\end{array}$

$\begin{array}{|l|r|}\hline & \multicolumn{1}{|c|}{\text { Coefficients }} \\\hline \text { Intercept } & -2.018775528 \\\hline \text { X Variable 1 } & 2.134464237 \\\hline\end{array}$

• A) scrap \(= - 2.019 + 2.134\) (pressure); slope \(= - 2.019\) and the intercept is \(2.134\).
• B) scrap \(= 2.134 - 2.019\) (pressure); slope \(= - 2.019\) and the intercept is \(2.134\).
• C) scrap \(= - 2.019 + 2.134\) (pressure); slope \(= 2.134\) and the intercept is \(- 2.019\).
• D) scrap \(= 2.134 - 2.019\) (pressure); slope \(= 2.134\) and the intercept is \(- 2.019\).

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Definitions:

Reversionary Interest

A future interest in property that returns to the original owner or the owner's heirs after the expiration of a temporary estate.

Contingent Remainder

A future interest in real property that depends on the occurrence of an uncertain event before it becomes possessory.

Property Interest

A legal right or claim to resources or possessions, such as real estate or intellectual property.

Graze

The act of eating small quantities of food periodically or animals feeding on grass in a pasture.