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

question 145

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. $$\begin{array} { | c c c c | } \hline \text { WEIGHT } & \text { CHEST } & \text { LENGTH } & \text { SEX } \\\hline 344 & 45.0 & 67.5 & 1 \\416 & 54.0 & 72.0 & 1 \\220 & 41.0 & 70.0 & 2 \\360 & 49.0 & 68.5 & 1 \\332 & 44.0 & 73.0 & 1 \\140 & 32.0 & 63.0 & 2 \\436 & 48.0 & 72.0 & 1 \\132 & 33.0 & 61.0 & 2 \\356 & 48.0 & 64.0 & 2 \\150 & 35.0 & 59.0 & 1 \\202 & 40.0 & 63.0 & 2 \\365 & 50.0 & 70.5 & 1 \\\hline\end{array}$$

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

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Definitions:

Fears

Emotional responses to perceived dangers or threats, causing anxiety or apprehension.

Overweight

Having more body fat than is optimally healthy, usually defined by a Body Mass Index (BMI) over 25.

Behavioural Vacillation

The phenomenon where an individual's actions oscillate or vary between different behaviors, often as a result of conflicting motivations or uncertainty.

Decisions

The act of making choices or conclusions after considering different options and their potential outcomes.