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

Question 6

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.

 SUMMARY OUTPUT  Regression Statisties  Multiple R 0.473932054 R Square 0.224611592 Adyasted R Square 0.218853757 Standerd Error 14.85665558 Observations 408\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}


 ANOVA  ff SSMSF Sigejficance F  Regressice 325830.709598610.23652939.009732423.69997E22 Residual 40489170.96688220.7202151 Total 407115001.6765\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}

 Coefficients  Standand Error  t Stat  P-value  Lower 95%  Upper 95%  Intercept 385.4384477338.99667441.1369977250.25621316280.97924911051.856144 GDP Per Capita (Thousands)  0.286516660.0469410336.1037569742.4315E090.1942374790.37879584 Popplasion (Milions)  0.0419796740.004433879.4679543342.42102E190.0332633380.050696011 Year 0.1910849280.1694023391.1279944910.2599916780.5241050980.141935242\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}

 Figure 6.1\text { Figure } 6.1
-Based on the estimates in Figure 6.1,you should conclude that


A) the regression function is overall statistically significant because 3.6997E - 22 < .05.
B) the regression function is overall statistically insignificant because 3.6997E - 22 < .05.
C) the regression function is overall statistically insignificant because .4739 > .05.
D) the regression function is overall statistically significant because 2.4135E - 09 < 0.05.

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