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.

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


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

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

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

• 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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Definitions:

Altruism

The thesis that one ought to act for the sake of the interests of others, rather than one’s own interests alone. See also ethical altruism; psychological altruism.

Luxury of Time

Refers to the privilege or condition of having ample time to pursue activities outside of basic survival needs or obligations.

Ecclesiastes

A book of the Hebrew Bible and the Christian Old Testament, reflecting on the meaning of life and the best way to live.

Vanity and Vexation of Spirit

An expression referring to the pursuit of goals that do not result in satisfaction, derived from Ecclesiastes in the Bible, highlighting the futility of human endeavors.