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:

Controlled Collisions

Refers to purposeful interactions in particle physics experiments or in computational simulations to study fundamental properties of matter and energy.

Compact Automobiles

Smaller-sized cars that are more efficient in fuel consumption and easier to park, usually seating four to five passengers.

Mean

The average of a set of numerical values, calculated by summing them together and dividing by the number of values.

Median

The middle value in a data set, which separates the higher half from the lower half of the dataset.