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book Introductory Econometrics: A Modern Approach 6th Edition by Jeffrey M Wooldridge cover

Introductory Econometrics: A Modern Approach 6th Edition by Jeffrey M Wooldridge

Edition 6ISBN: 130527010X
book Introductory Econometrics: A Modern Approach 6th Edition by Jeffrey M Wooldridge cover

Introductory Econometrics: A Modern Approach 6th Edition by Jeffrey M Wooldridge

Edition 6ISBN: 130527010X
Exercise 17

The data set NBASAL.RAW contains salary information and career statistics for 269 players in the National Basketball Association (NBA).

(i) Estimate a model relating points-per-game (points) to years in the league (exper),age, and years played in college (coll). Include a quadratic in exper; the other variables should appear in level form. Report the results in the usual way.

(ii) Holding college years and age fixed, at what value of experience does the next year of experience actually reduce points-per-game? Does this make sense?

(iii) Why do you think coll has a negative and statistically significant coefficient?

(iv) Add a quadratic in age to the equation. Is it needed? What does this appear to imply about the effects of age, once experience and education are controlled for?

(v) Now regress log(wage) on points, exper, exper2, age, and coll. Report the results in the usual format.

(vi) Test whether age and coll are jointly significant in the regression from part (v).What does this imply about whether age and education have separate effects on wage, once productivity and seniority are accounted for?

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(i)

The summary for the regression model relating points to Exper, Age, Coll, Exper2 is given by

Dependent Variable:     <div class=answer> (i) The summary for the regression model relating <i>points</i> to <i>Exper, Age, Coll, </i><i>Exper</i><sup>2</sup> is given by <table style=border-collapse:collapse; border=1>     <tbody>      <tr>       <td> Dependent Variable:   </td>      </tr>      <tr>       <td> Regressors </td>       <td> Coefficients </td>       <td> Standard Error </td>       <td> t Stat </td>       <td> P-value </td>      </tr>      <tr>       <td> <i>Intercept</i> </td>       <td> 34.98355245 </td>       <td> 6.970931359 </td>       <td> 5.01849045 </td>       <td> 9.58327E-07 </td>      </tr>      <tr>       <td> <i>exper </i> </td>       <td> 2.337019734 </td>       <td> 0.40458044 </td>       <td> 5.776403158 </td>       <td> 2.14161E-08 </td>      </tr>      <tr>       <td> <i>age </i> </td>       <td> -1.06174031 </td>       <td> 0.294404955 </td>       <td> -3.606394159 </td>       <td> 0.000371187 </td>      </tr>      <tr>       <td> <i>coll </i> </td>       <td> -1.275885467 </td>       <td> 0.449573132 </td>       <td> -2.837993145 </td>       <td> 0.004892334 </td>      </tr>      <tr>       <td> <i>expersq </i> </td>       <td> -0.075766431 </td>       <td> 0.023430158 </td>       <td> -3.233713991 </td>       <td> 0.001377424 </td>      </tr>     </tbody>    </table> The estimated equation comes out to be:   . <table style=border-collapse:collapse; border=1>     <tbody>      <tr>       <td> Regression Statistics </td>      </tr>      <tr>       <td> R Square </td>       <td> 0.139791403 </td>      </tr>      <tr>       <td> Adjusted R Square </td>       <td> 0.12675794 </td>      </tr>      <tr>       <td> Standard Error </td>       <td> 5.497033998 </td>      </tr>      <tr>       <td> Observations </td>       <td> 269 </td>      </tr>     </tbody>    </table>

Regressors

Coefficients

Standard Error

t Stat

P-value

Intercept

34.98355245

6.970931359

5.01849045

9.58327E-07

exper

2.337019734

0.40458044

5.776403158

2.14161E-08

age

-1.06174031

0.294404955

-3.606394159

0.000371187

coll

-1.275885467

0.449573132

-2.837993145

0.004892334

expersq

-0.075766431

0.023430158

-3.233713991

0.001377424

The estimated equation comes out to be:

    <div class=answer> (i) The summary for the regression model relating <i>points</i> to <i>Exper, Age, Coll, </i><i>Exper</i><sup>2</sup> is given by <table style=border-collapse:collapse; border=1>     <tbody>      <tr>       <td> Dependent Variable:   </td>      </tr>      <tr>       <td> Regressors </td>       <td> Coefficients </td>       <td> Standard Error </td>       <td> t Stat </td>       <td> P-value </td>      </tr>      <tr>       <td> <i>Intercept</i> </td>       <td> 34.98355245 </td>       <td> 6.970931359 </td>       <td> 5.01849045 </td>       <td> 9.58327E-07 </td>      </tr>      <tr>       <td> <i>exper </i> </td>       <td> 2.337019734 </td>       <td> 0.40458044 </td>       <td> 5.776403158 </td>       <td> 2.14161E-08 </td>      </tr>      <tr>       <td> <i>age </i> </td>       <td> -1.06174031 </td>       <td> 0.294404955 </td>       <td> -3.606394159 </td>       <td> 0.000371187 </td>      </tr>      <tr>       <td> <i>coll </i> </td>       <td> -1.275885467 </td>       <td> 0.449573132 </td>       <td> -2.837993145 </td>       <td> 0.004892334 </td>      </tr>      <tr>       <td> <i>expersq </i> </td>       <td> -0.075766431 </td>       <td> 0.023430158 </td>       <td> -3.233713991 </td>       <td> 0.001377424 </td>      </tr>     </tbody>    </table> The estimated equation comes out to be:   . <table style=border-collapse:collapse; border=1>     <tbody>      <tr>       <td> Regression Statistics </td>      </tr>      <tr>       <td> R Square </td>       <td> 0.139791403 </td>      </tr>      <tr>       <td> Adjusted R Square </td>       <td> 0.12675794 </td>      </tr>      <tr>       <td> Standard Error </td>       <td> 5.497033998 </td>      </tr>      <tr>       <td> Observations </td>       <td> 269 </td>      </tr>     </tbody>    </table> .

Regression Statistics

R Square

0.139791403

Adjusted R Square

0.12675794

Standard Error

5.497033998

Observations

269


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Introductory Econometrics: A Modern Approach 6th Edition by Jeffrey M Wooldridge
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