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

question 2

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

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Definitions:

Availability of Resources

The extent to which necessary or desired materials, information, support, or capital is accessible for use or consumption.

Achieving Goals

The process or act of identifying and working towards objectives, often involving planning, effort, and a focused approach.

Scarcity

The fundamental economic problem of having seemingly unlimited human wants in a world of limited resources, which leads to various forms of competition for resources.

Cumulative Social Effects

The accumulating impact of societal actions and behaviors over time, affecting future social structures, norms, and individual behaviors.