Figure
Suppose That in the Course of Testing Whether Age

question 33

Multiple Choice

Figure
Suppose that in the course of testing whether Age and Family Size are jointly significant,you estimate the results in Figure 6.3. $\begin{array}{lc}\text { SUMMARY OUTPUT }\\\\\\\hline\text { Regrestion Starittict } & \\\hline \text { Muftiple R. } & 0.070494476 \\\text { R Sequrt } & 0.004969471 \\\text { Adigated R. Square } & 0.001879314 \\\text { Standard Esror } & 4.819403326 \\\text { Observations } & 970 \\\hline\end{array}$



$\begin{array}{l}\text { ANOVA }\\\begin{array}{lccccc}\hline & d f & S 5 & M S & F & \text { Signifieance } F \\\hline \text { Regranion } & 3 & 112.0566012 & 37.3522004 & 1.608161442 & 0.185858614 \\\text { Reaidual } & 966 & 22436.94237 & 23.22664841 & & \\\text { Total } & 969 & 22548.99897 & & & \\\hline\end{array}\end{array}$


$\begin{array}{lcccccc}\hline & \text { Coeffeientt } & \text { Srandard Error } & \text { t Stat } & \text { P-value } & \text { Lower } 9596 & \text { Upper } 9596 \\\hline \text { Intercept } & 4.049920982 & 1.042107341 & 3.886280064 & 0.000108739 & 2.004865844 & 6.094976119 \\\text { Age } & 0.015626984 & 0.010365497 & 1.507396119 & 0.131984878 & -0.004714504 & 0.035968471 \\\text { Family Size } & -0.093093463 & 0.084602383 & -1.100364552 & 0.271447442 & -0.259119103 & 0.072932177 \\\text { Years of Education } & 0.005642075 & 0.06474525 & 0.087142685 & 0.930576157 & -0.121415476 & 0.132699626 \\\hline\end{array}$

$\text { SUMALARY OUTPUT }$

$\begin{array}{lc}\hline \text { Regrestion Staritticz } & \\\hline \text { Multiple R. } & 0.005034034 \\\text { R Square } & 2.53415 \mathrm{E}-05 \\\text { Adjuted R. Square } & -0.00100769 \\\text { Standard Error } & 4.826368211 \\\text { Observations } & 970 \\\hline\end{array}$$0.115170636$


$\begin{array}{l}\text { ANOVA }\\\begin{array}{lccccc}\hline & d f & S S & M S & F & \text { Signffeance } F \\\hline \text { Regresion } & 1 & 0.571425385 & 0.571425385 & 0.024531191 & 0.875573561 \\\text { Reiidual } & 968 & 22548.42754 & 23.29383011 & & \\\text { Total } & 969 & 22548.99897 & & & \\\hline\end{array}\end{array}$

$\begin{array}{l}\begin{array}{lcccccc}\hline & \text { Coefficienty } & \text { Standard Emor } & \text { t Star } & \text { P-value } & \text { Lower } 9596 & \text { Upper } 9596 \\\hline \text { Intercept } & 4.288825645 & 0.732966216 & 5.851327866 & 6.66867 E-09 & 2.850439806 & 5.727211483 \\\text { Years of Education } & 0.009850586 & 0.062893064 & 0.156624361 & 0.875573561 & -0.113571873 & 0.133273045 \\\hline\end{array}\\\text { Figure } 6.3\end{array}$
-When testing for the joint significance of Age and Family Size (Figure 6.3) ,you should

• A)reject the null hypothesis and conclude that β₂ = β₃ = 0.
• B)fail to reject the null hypothesis because and conclude that β₂ = β₃ = 0.
• C)reject the null hypothesis and conclude that at least one of β₂ or β₃ is not equal to 0.
• D)fail to reject the null hypothesis and conclude that at least one of β₂ or β₃ is not equal to 0.

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