Use Computer Software to Find the Regression Equation A) WEIGHT $= - 320 + 10.6$

question 128

Multiple Choice

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

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Definitions:

Oxygen

A chemical element (O) essential for life, involved in cellular respiration, where it is used to produce energy from the breakdown of molecules like glucose.

Affinity

The degree to which a substance tends to combine with another, often used in the context of biochemical reactions.

Hematocrit

The proportion of blood volume that is occupied by red blood cells, a key measure of blood health.

RBCs

Short for Red Blood Cells, they are cells in the blood that carry oxygen from the lungs to the body's tissues and carbon dioxide back to the lungs.