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:

Merchandising Entities

Companies that purchase goods at wholesale prices and sell them at retail prices, making a profit from the markup.

Cost of Goods

The total expense incurred to produce products sold by a company, including direct materials, direct labor, and manufacturing overheads.

Front Office

The part of a company that deals directly with customers, providing services, support, and interaction with clients and visitors.

Back Office

The administrative and support personnel in a company who are not client-facing, responsible for functions such as IT, human resources, accounting, and compliance.