TABLE 14-3
an Economist Is Interested to See $\text {SUMMARY OUTPUT}$

question 67

Multiple Choice

TABLE 14-3
An economist is interested to see how consumption for an economy (in $ billions) is influenced by gross domestic product ($ billions) and aggregate price (consumer price index) . The Microsoft Excel output of this regression is partially reproduced below.
$\text {SUMMARY OUTPUT}$

$\begin{array}{lc}\hline \text { Regression Statistics } \\\hline \text {Multiple R} & 0.991 \\ \text {R Square }& 0.982 \\ \text {Adjusted R Square }& 0.976 \\ \text {Standard Error }& 0.299 \\ \text {Observations }& 10 \\\hline\end{array}$

ANOVA
$\begin{array}{lrrrrr}\hline & \text { d f}& \text { SS } & \text {MS } & \text { F } & \text {Significance F } \\\hline \text { Regression} & 2 & 33.4163 & 16.7082 & 186.325 & 0.0001 \\ \text {Residual }& 7 & 0.6277 & 0.0897 & & \\ \text {Total} & 9 & 34.0440 & & & \\\hline\end{array}$


$\begin{array}{lcccr}\hline & \text {Coefficients} & \text { Standard Error} & \text { t Stat }& \text { p -value} \\\hline \text {Intercept }& -0.0861 & 0.5674 & -0.152 & 0.8837 \\ \text {GDP} & 0.7654 & 0.0574 & 13.340 & 0.0001 \\ \text {Price }& -0.0006 & 0.0028 & -0.219 & 0.8330 \\\hline\end{array}$

-Referring to Table 14-3, when the economist used a simple linear regression model with consumption as the dependent variable and GDP as the independent variable, he obtained an r2 value of 0.971. What additional percentage of the total variation of consumption has been explained by including aggregate prices in the multiple regression?

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