Use Computer Software to Find the Multiple Regression Equation A) WEIGHT

question 121

Multiple Choice

Use computer software to find the multiple regression equation. Can the equation be used for prediction? A wildlife analyst gathered the data in the table to develop an equation to predict the weights of bears. He used
WEIGHT as the dependent variable and CHEST, LENGTH, and SEX as the independent variables. For SEX, he
Used male = 1 and female = 2. $\begin{array}{|cccc|}\hline \text { WEIGHT } & \text { CHEST } & \text { LENGTH } & \text { SEX } \\\hline 344 & 45.0 & 67.5 & 1 \\416 & 54.0 & 72.0 & 1 \\220 & 41.0 & 70.0 & 2 \\360 & 49.0 & 68.5 & 1 \\332 & 44.0 & 73.0 & 1 \\140 & 32.0 & 63.0 & 2 \\436 & 48.0 & 72.0 & 1 \\132 & 33.0 & 61.0 & 2 \\356 & 48.0 & 64.0 & 2 \\150 & 35.0 & 59.0 & 1 \\202 & 40.0 & 63.0 & 2 \\365 & 50.0 & 70.5 & 1 \\\hline\end{array}$

• A) WEIGHT \(= - 442.6 + 12.1\) CHEST \(+ 3.6\) LENGTH \(- 23.8\) SEX; Yes, because the adjusted \(R ^ { 2 }\) is high.
• B) WEIGHT \(= 196 + 2.35\) CHEST \(+ 3.40 \mathrm { LENGTH } + 25 \mathrm { SEX }\); Yes, because the \(R ^ { 2 }\) is high.
• C) WEIGHT \(= 442.6 + 12.1\) CHEST \(+ 4.2\) LENGTH \(- 21\) SEX; Yes, because the \(P\)-value is low.
• D) WEIGHT \(= - 320 + 10.6\) CHEST \(+ 7.3\) LENGTH \(- 10.7\) SEX; Yes, because the \(P\)-value is high.

---

Definitions:

Nervous System

The network of nerve cells and fibers that transmits nerve impulses between parts of the body, coordinating actions and sensory information.

Cardiovascular

Related to the heart and blood vessels, encompassing the overall health and function of the circulatory system.

Digestive

Pertaining to the process of breaking down food into nutrients that the body can absorb and use.

Accuracy

The degree to which the result of a measurement, calculation, or specification conforms to the correct value or a standard.