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Suppose That in the Course of Testing Whether Age

question 7

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



 ANOVA dfS5MSF Signifieance F Regranion 3112.056601237.35220041.6081614420.185858614 Reaidual 96622436.9423723.22664841 Total 96922548.99897\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}


 Coeffeientt  Srandard Error  t Stat  P-value  Lower 9596 Upper 9596 Intercept 4.0499209821.0421073413.8862800640.0001087392.0048658446.094976119 Age 0.0156269840.0103654971.5073961190.1319848780.0047145040.035968471 Family Size 0.0930934630.0846023831.1003645520.2714474420.2591191030.072932177 Years of Education 0.0056420750.064745250.0871426850.9305761570.1214154760.132699626\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}

 SUMALARY OUTPUT \text { SUMALARY OUTPUT }

 Regrestion Staritticz  Multiple R. 0.005034034 R Square 2.53415E05 Adjuted R. Square 0.00100769 Standard Error 4.826368211 Observations 970\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}0.1151706360.115170636


 ANOVA dfSSMSF Signffeance F Regresion 10.5714253850.5714253850.0245311910.875573561 Reiidual 96822548.4275423.29383011 Total 96922548.99897\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}

 Coefficienty  Standard Emor  t Star  P-value  Lower 9596 Upper 9596 Intercept 4.2888256450.7329662165.8513278666.66867E092.8504398065.727211483 Years of Education 0.0098505860.0628930640.1566243610.8755735610.1135718730.133273045 Figure 6.3\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}
-Chow tests are used to determine whether

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Definitions:

X-linked Recessive

A pattern of inheritance in which a mutation is located on the X chromosome, typically affecting males more severely since they have only one X chromosome.

Heritability

A measure of how much of the variation in a trait among individuals within a population can be attributed to genetic differences.

Twins

Two individuals born from the same pregnancy, who can be either identical (from one egg) or fraternal (from two different eggs).

Adopted Children

Children who have been legally taken and raised by parents who are not their biological parents.

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