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.

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