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Suppose You Regress Obesity Rates for the 50 States

Question 23

Multiple Choice

Figure
Suppose you regress obesity rates for the 50 states and the District of Columbia on the percentage of adults who have earned a Bachelor's degree and that you get the following results. SUMMARY OUTPUT
 Regression Staristies  Multple R. 0.755633848 R. Square 0.570982512 Adjasted R. Square 0.562227053 Standard Erroe 2.233627219 Observations 51\begin{array}{lr}\hline \text { Regression Staristies } & \\\hline \text { Multple R. } & 0.755633848 \\\text { R. Square } & 0.570982512 \\\text { Adjasted R. Square } & 0.562227053 \\\text { Standard Erroe } & 2.233627219 \\\text { Observations } & 51 \\\hline\end{array}

 ANOVA \text { ANOVA }
 df SSMSF Significance F Regression 1325,3608375325.360837565.214458261.46476E10 Residual 49244.4654374.989090551 Total 50569.8262745\begin{array}{lrrrrrr} \hline & \text { df } & S S & M S & F & \text { Significance } F \\\hline \text { Regression } & 1 & 325,3608375 & 325.3608375 & 65.21445826 & 1.46476 \mathrm{E}-10 \\\text { Residual } & 49 & 244.465437 & 4.989090551 & & \\\text { Total } & 50 & 569.8262745 & & & \\\hline\end{array}

 Coefficients  Standard Ewor t Stat  P-value  Lower 95%6  Ueper 9596  Intercept 40.592565881.59706973525.416902597.09161E3037.3831341543.80199761 Percent Aduhs with Bachelor’s Deryee 0.4658872230.0576911058.0755469321.46476E100.5818218360.34995261\begin{array}{lcccccc}\hline & \text { Coefficients } & \text { Standard Ewor } & t \text { Stat } & \text { P-value } & \text { Lower 95\%6 } & \text { Ueper 9596 } \\\hline \text { Intercept } & 40.59256588 & 1.597069735 & 25.41690259 & 7.09161 \mathrm{E}-30 & 37.38313415 & 43.80199761 \\\text { Percent Aduhs with Bachelor's Deryee } & -0.465887223 & 0.057691105 & -8.075546932 & 1.46476 \mathrm{E}-10 & -0.581821836 & -0.34995261 \\\hline\end{array}

 Figure 5.2\text { Figure } 5.2
-Based on the Excel output in Figure 5.2,you should conclude that a


A) one percentage point increase in the percentage of adults with a Bachelor's degree is associated with a statistically insignificant 40.59 percent increase in the obesity rate,holding all else constant.
B) one percentage point increase in the percentage of adults with a Bachelor's degree is associated with a statistically significant 40.59 percent increase in the obesity rate,holding all else constant.
C) one percentage point increase in the percentage of adults with a Bachelor's degree is associated with a statistically insignificant .466 percentage point increase in the obesity rate,holding all else constant.
D) one percentage point increase in the percentage of adults with a Bachelor's degree is associated with a statistically significant .466 percentage point increase in the obesity rate,holding all else constant.

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