Refer to the Following Nonlinear Model Which Relates W to P

question 26

Multiple Choice

Refer to the following nonlinear model which relates W to P, Q, and R:
$W = a P ^ { b } Q ^ { c } R ^ { d }$
The computer output form the regression analysis is:
$$\begin{array} { r l l l l l } \text { DEPENDENTVARIAELE: } & \text { LNW } & \text { R-SQUARE } & \text { F-RATIO } & \text { P-VALUE ONF } \\\text { OESERVATIONS: } & \text { 19 } & \mathbf { 0 . 9 0 2 3 } & 43.12 & \mathbf { 0 . 0 0 0 1 } & \\\\& \text { PARAMETER } & \text { STANDARD } & & \\\text { VARIAELE } & \text { ESTMMATE } & \text { ERROR } & \text { T-RATIO } & \text { P-VALUE } \\\text { INTERCEPT } & \mathbf { 2 . 5 0 } & \mathbf { 0 . 4 5 } & \mathbf { 5 . 5 6 } & \mathbf { 0 . 0 0 0 1 } \\\text { LNP } & - 5.10 & 1.75 & - \mathbf { 2 . 9 1 } & \mathbf { 0 . 0 1 1 3 } \\\text { LNQ } & 12.4 & \mathbf { 3 . 2 } & \mathbf { 3 . 8 3 } & \mathbf { 0 . 0 0 1 7 } \\\text { LNR } & \mathbf { - 6 . 0 0 } & 1.5 & - 400 & \mathbf { 0 . 0 0 1 0 }\end{array}$$
-If R decreases by 12% (all other things constant) , W will

• A) decrease by 72%.
• B) decrease by 6%.
• C) increase by 6%.
• D) increase by 72%.

---

Definitions:

Fly Ash

A fine powder that is a byproduct of burning pulverized coal in electric generation power plants, which can be used as a pozzolan in concrete production.

Hazardous Wastes

Materials considered dangerous to humans or the environment due to their toxic, corrosive, or otherwise harmful properties, requiring special disposal methods to mitigate these risks.

Taxpayers

Individuals or entities that are required to pay taxes to a governing body, contributing to public revenue for governmental spending.

Leachate

Liquid that has percolated through a solid and leached out some of its constituents, often used in the context of water passing through waste material in landfills.