Refer to the Following Nonlinear Model Which Relates W to P

question 8

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:
$$\begin{array} { r l l l l l } \text { DEPENDENTVARIAELE: } & \text { LNW } & \text { R-SQUARE } & \text { F-RATIO } & \text { P-VALUE ONF } \\\text { OESERVATIONS: } & \text { 19 } & \mathbf { 0 . 9 0 2 3 } & 43.12 & \mathbf { 0 . 0 0 0 1 } & \\\\& \text { PARAMETER } & \text { STANDARD } & & \\\text { VARIAELE } & \text { ESTMMATE } & \text { ERROR } & \text { T-RATIO } & \text { P-VALUE } \\\text { INTERCEPT } & \mathbf { 2 . 5 0 } & \mathbf { 0 . 4 5 } & \mathbf { 5 . 5 6 } & \mathbf { 0 . 0 0 0 1 } \\\text { LNP } & - 5.10 & 1.75 & - \mathbf { 2 . 9 1 } & \mathbf { 0 . 0 1 1 3 } \\\text { LNQ } & 12.4 & \mathbf { 3 . 2 } & \mathbf { 3 . 8 3 } & \mathbf { 0 . 0 0 1 7 } \\\text { LNR } & \mathbf { - 6 . 0 0 } & 1.5 & - 400 & \mathbf { 0 . 0 0 1 0 }\end{array}$$
-The estimated value of a is

• A) 0.916
• B) 12.182
• C) 2.50
• D) 2.66

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Definitions:

Peptidoglycan

A polymer consisting of sugars and amino acids that forms a mesh-like layer outside the plasma membrane of bacteria, providing structural support and shape.

Protist Clade

A group within the kingdom of eukaryotic organisms, often single-celled, that are not animals, plants, or fungi but share some similar characteristics with these groups.

Greatly Modified Mitochondria

Mitochondria that have undergone significant structural or functional changes, often to suit specific cellular needs or conditions.

Supergroup

A high-level taxonomic rank in biological classification above the level of kingdom, used in some classifications for organisms that are genetically distant.