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.

---

Definitions:

Socioeconomic Classes

Categories of people living together in a society who have a similar level of wealth, education, and occupational prestige.

Down Syndrome

A genetic disorder caused by the presence of an extra chromosome 21, characterized by physical growth delays, characteristic facial features, and varying degrees of intellectual disability.

Extra Chromosome

An additional chromosome in the genetic makeup of an individual, which can lead to developmental abnormalities or genetic disorders, such as Down syndrome.

Mildly Intellectually Disabled

Describes individuals with below-average cognitive ability, often characterized by limitations in intellectual function and adaptive behavior.