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. $$\begin{array} { c c c c }
\hline \text { WEIGHT } & \text { CHEST } & \text { LENGTH } & \text { SEX } \
\hline 344 & 45.0 & 67.5 & 1 \
416 & 54.0 & 72.0 & 1 \
220 & 41.0 & 70.0 & 2 \
360 & 49.0 & 68.5 & 1 \
332 & 44.0 & 73.0 & 1 \
140 & 32.0 & 63.0 & 2 \
436 & 48.0 & 72.0 & 1 \
132 & 33.0 & 61.0 & 2 \
356 & 48.0 & 64.0 & 2 \
150 & 35.0 & 59.0 & 1 \
202 & 40.0 & 63.0 & 2 \
365 & 50.0 & 70.5 & 1 \
\hline
\end{array}$$

A) WEIGHT =196+2.35 CHEST +3.40 LENGTH +25 SEX; Yes, because the R2 is high.
B) WEIGHT =-320+10.6 CHEST +7.3 LENGTH -10.7SEX ; Yes, because the P -value is high.
C) WEIGHT =-442.6+12.1 CHES +3.6 LENGTH -23.8SEX ; Yes, because the adjusted R2 is high.
D) WEIGHT =442.6+12.1 CHEST +4.2 LENGTH-21SEX ; Yes, because the P -value is low.

Question

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. $$\begin{array} { c c c c } 
\hline \text { WEIGHT } & \text { CHEST } & \text { LENGTH } & \text { SEX } \
\hline 344 & 45.0 & 67.5 & 1 \
416 & 54.0 & 72.0 & 1 \
220 & 41.0 & 70.0 & 2 \
360 & 49.0 & 68.5 & 1 \
332 & 44.0 & 73.0 & 1 \
140 & 32.0 & 63.0 & 2 \
436 & 48.0 & 72.0 & 1 \
132 & 33.0 & 61.0 & 2 \
356 & 48.0 & 64.0 & 2 \
150 & 35.0 & 59.0 & 1 \
202 & 40.0 & 63.0 & 2 \
365 & 50.0 & 70.5 & 1 \
\hline
\end{array}$$

A) WEIGHT  =196+2.35 CHEST +3.40  LENGTH  +25  SEX; Yes, because the  R2  is high.
B) WEIGHT  =-320+10.6 CHEST +7.3  LENGTH -10.7SEX ; Yes, because the  P -value is high. 
C) WEIGHT  =-442.6+12.1 CHES +3.6 LENGTH -23.8SEX ; Yes, because the adjusted  R2 is high.
D) WEIGHT  =442.6+12.1 CHEST +4.2  LENGTH-21SEX ; Yes, because the  P -value is low.

Quizplus · Accepted Answer

The correct answer is based on the principle that a multiple regression equation can indeed be used for prediction if the model is statistically significant, which is often indicated by a high adjusted $R^2$ value. The adjusted $R^2$ value accounts for the number of predictors in the model and provides a more accurate measure of the model's explanatory power, especially in comparison to the $R^2$ value which can sometimes give overly optimistic estimates for models with many predictors.

Use Computer Software to Find the Multiple Regression Equation A) WEIGHT =196+2