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

 Regression Statistics Multiple R0.991R Square 0.982Adjusted R Square 0.976Standard Error 0.299Observations 10\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
 d f SS MS  F Significance F  Regression233.416316.7082186.3250.0001Residual 70.62770.0897Total934.0440\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}


Coefficients Standard Error t Stat  p -valueIntercept 0.08610.56740.1520.8837GDP0.76540.057413.3400.0001Price 0.00060.00280.2190.8330\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?


A) 98.2
B) 11.1
C) 1.1
D) 2.8

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