Figure:
Suppose You Regress the Number of Medals Won by Countries

question 13

Multiple Choice

Figure:
Suppose you regress the number of medals won by countries in the 1996,2000,2004,and 2008 Olympics on GDP Per Capita (Thousands) ,Population (Millions) ,and Olympic Year and that you get the results in Figure 6.1.

$\begin{array}{lc}\text { SUMMARY OUTPUT }\\\\\\\hline \text { Regression Statisties } & \\\hline \text { Multiple R } & 0.473932054 \\\text { R Square } & 0.224611592 \\\text { Adyasted R Square } & 0.218853757 \\\text { Standerd Error } & 14.85665558 \\\text { Observations } & 408 \\\hline\end{array}$


$\begin{array}{lccccc} \text { ANOVA }\\\hline & \text { ff } & S S & M S & F & \text { Sigejficance F } \\\hline \text { Regressice } & 3 & 25830.70959 & 8610.236529 & 39.00973242 & 3.69997 E-22 \\\text { Residual } & 404 & 89170.96688 & 220.7202151 & \\\text { Total } & 407 & 115001.6765 & & \\\hline\end{array}$

$\begin{array}{lcccccc}\hline & \text { Coefficients } & \text { Standand Error } & \text { t Stat } & \text { P-value } & \text { Lower 95\% } & \text { Upper 95\% } \\\hline \text { Intercept } & 385.4384477 & 338.9966744 & 1.136997725 & 0.25621316 & -280.9792491 & 1051.856144 \\\text { GDP Per Capita (Thousands) } & 0.28651666 & 0.046941033 & 6.103756974 & 2.4315 \mathrm{E}-09 & 0.194237479 & 0.37879584 \\\text { Popplasion (Milions) } & 0.041979674 & 0.00443387 & 9.467954334 & 2.42102 \mathrm{E}-19 & 0.033263338 & 0.050696011 \\\text { Year } & -0.191084928 & 0.169402339 & -1.127994491 & 0.259991678 & -0.524105098 & 0.141935242 \\\hline\end{array}$

$\text { Figure } 6.1$
-Based on the estimates in Figure 6.1,you should conclude that,holding all other independent variables constant,a $1,000 increase in GDP Per Capita is estimated to

• A)increase Total Medals Won by a statistically significant 0.2865 because 0 is not included in the 95% confidence interval.
• B)increase Total Medals Won by a statistically insignificant 0.2865 because 0 is included in the 95% confidence interval.
• C)increase Total Medals Won by a statistically insignificant 0.2865 because 0.2865 is included in the 95% confidence interval.
• D)increase Total Medals Won by a statistically significant 0.2865 because 0.2865 is included in the 95% confidence interval.

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