In the following regression, which are the two best predictors? $$\begin{array} { l r r }
\hline \text { Variables } & \text { Coefficients } & \text { Std. Error } \
\hline \text { Intercept } & 9.8080 & 16.9900 \
\text { NumCyl } & - 1.6804 & 0.5757 \
\text { HPMax } & - 0.0369 & 0.0140 \
\text { ManTran } & 0.2868 & 1.2802 \
\text { Length } & 0.1109 & 0.0601 \
\text { Wheelbase } & - 0.0701 & 0.1714 \
\text { Width } & 0.4079 & 0.2922 \
\text { RearStRm } & - 0.0085 & 0.2018 \
\text { Weight } & - 0.0025 & 0.0020 \
\text { Domestic } & - 1.2291 & 1.1391 \
\hline
\end{array}$$
A)NumCyl, HpMax
B)Intercept, NumCyl
C)NumCyl, Domestic
D)ManTran, Width

Question

In the following regression, which are the two best predictors? $$\begin{array} { l r r } 
\hline \text { Variables } & \text { Coefficients } & \text { Std. Error } \
\hline \text { Intercept } & 9.8080 & 16.9900 \
\text { NumCyl } & - 1.6804 & 0.5757 \
\text { HPMax } & - 0.0369 & 0.0140 \
\text { ManTran } & 0.2868 & 1.2802 \
\text { Length } & 0.1109 & 0.0601 \
\text { Wheelbase } & - 0.0701 & 0.1714 \
\text { Width } & 0.4079 & 0.2922 \
\text { RearStRm } & - 0.0085 & 0.2018 \
\text { Weight } & - 0.0025 & 0.0020 \
\text { Domestic } & - 1.2291 & 1.1391 \
\hline
\end{array}$$
A)NumCyl, HpMax
B)Intercept, NumCyl
C)NumCyl, Domestic
D)ManTran, Width

Quizplus · Accepted Answer

The best predictors are typically the variables with the largest absolute values of coefficients. In this case, NumCyl has a coefficient of -1.6804 and HPMax has a coefficient of -0.0369, which are both relatively large compared to the other variables. Therefore, the best predictors are NumCyl and HPMax.

In the Following Regression, Which Are the Two Best Predictors