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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 15

Use the data in FERTIL3.RAW for this exercise.

(i) Add pet-3 and pet-4 to equation (10.19). Test for joint significance of these lags.

(ii) Find the estimated long-run propensity and its standard error in the model from part (i). Compare these with those obtained from equation (10.19).

(iii) Estimate the polynomial distributed lag model from Problem 10.6. Find the estimated LRP and compare this with what is obtained from the unrestricted model.

Step-by-step solution
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(i)

On adding     <div class=answer> (i) On adding   and   , the regression equation is:   The result is:   The regression equation is:   Test for the joint significance of the lagged variables   and   using Wald test     and   are not jointly significant     and   are jointly significant   Since, the p-value of the F-statistic is 0.9397 which is greater than the critical p-value of 0.05 at 5% level of significance, it is concluded that   and   are not jointly significant and    <div class=answer> (i) On adding   and   , the regression equation is:   The result is:   The regression equation is:   Test for the joint significance of the lagged variables   and   using Wald test     and   are not jointly significant     and   are jointly significant   Since, the p-value of the F-statistic is 0.9397 which is greater than the critical p-value of 0.05 at 5% level of significance, it is concluded that   and   are not jointly significant , the regression equation is:

    <div class=answer> (i) On adding   and   , the regression equation is:   The result is:   The regression equation is:   Test for the joint significance of the lagged variables   and   using Wald test     and   are not jointly significant     and   are jointly significant   Since, the p-value of the F-statistic is 0.9397 which is greater than the critical p-value of 0.05 at 5% level of significance, it is concluded that   and   are not jointly significant

The result is:

    <div class=answer> (i) On adding   and   , the regression equation is:   The result is:   The regression equation is:   Test for the joint significance of the lagged variables   and   using Wald test     and   are not jointly significant     and   are jointly significant   Since, the p-value of the F-statistic is 0.9397 which is greater than the critical p-value of 0.05 at 5% level of significance, it is concluded that   and   are not jointly significant

The regression equation is:

    <div class=answer> (i) On adding   and   , the regression equation is:   The result is:   The regression equation is:   Test for the joint significance of the lagged variables   and   using Wald test     and   are not jointly significant     and   are jointly significant   Since, the p-value of the F-statistic is 0.9397 which is greater than the critical p-value of 0.05 at 5% level of significance, it is concluded that   and   are not jointly significant

Test for the joint significance of the lagged variables     <div class=answer> (i) On adding   and   , the regression equation is:   The result is:   The regression equation is:   Test for the joint significance of the lagged variables   and   using Wald test     and   are not jointly significant     and   are jointly significant   Since, the p-value of the F-statistic is 0.9397 which is greater than the critical p-value of 0.05 at 5% level of significance, it is concluded that   and   are not jointly significant and    <div class=answer> (i) On adding   and   , the regression equation is:   The result is:   The regression equation is:   Test for the joint significance of the lagged variables   and   using Wald test     and   are not jointly significant     and   are jointly significant   Since, the p-value of the F-statistic is 0.9397 which is greater than the critical p-value of 0.05 at 5% level of significance, it is concluded that   and   are not jointly significant using Wald test

    <div class=answer> (i) On adding   and   , the regression equation is:   The result is:   The regression equation is:   Test for the joint significance of the lagged variables   and   using Wald test     and   are not jointly significant     and   are jointly significant   Since, the p-value of the F-statistic is 0.9397 which is greater than the critical p-value of 0.05 at 5% level of significance, it is concluded that   and   are not jointly significant     <div class=answer> (i) On adding   and   , the regression equation is:   The result is:   The regression equation is:   Test for the joint significance of the lagged variables   and   using Wald test     and   are not jointly significant     and   are jointly significant   Since, the p-value of the F-statistic is 0.9397 which is greater than the critical p-value of 0.05 at 5% level of significance, it is concluded that   and   are not jointly significant and    <div class=answer> (i) On adding   and   , the regression equation is:   The result is:   The regression equation is:   Test for the joint significance of the lagged variables   and   using Wald test     and   are not jointly significant     and   are jointly significant   Since, the p-value of the F-statistic is 0.9397 which is greater than the critical p-value of 0.05 at 5% level of significance, it is concluded that   and   are not jointly significant are not jointly significant

    <div class=answer> (i) On adding   and   , the regression equation is:   The result is:   The regression equation is:   Test for the joint significance of the lagged variables   and   using Wald test     and   are not jointly significant     and   are jointly significant   Since, the p-value of the F-statistic is 0.9397 which is greater than the critical p-value of 0.05 at 5% level of significance, it is concluded that   and   are not jointly significant     <div class=answer> (i) On adding   and   , the regression equation is:   The result is:   The regression equation is:   Test for the joint significance of the lagged variables   and   using Wald test     and   are not jointly significant     and   are jointly significant   Since, the p-value of the F-statistic is 0.9397 which is greater than the critical p-value of 0.05 at 5% level of significance, it is concluded that   and   are not jointly significant and    <div class=answer> (i) On adding   and   , the regression equation is:   The result is:   The regression equation is:   Test for the joint significance of the lagged variables   and   using Wald test     and   are not jointly significant     and   are jointly significant   Since, the p-value of the F-statistic is 0.9397 which is greater than the critical p-value of 0.05 at 5% level of significance, it is concluded that   and   are not jointly significant are jointly significant

    <div class=answer> (i) On adding   and   , the regression equation is:   The result is:   The regression equation is:   Test for the joint significance of the lagged variables   and   using Wald test     and   are not jointly significant     and   are jointly significant   Since, the p-value of the F-statistic is 0.9397 which is greater than the critical p-value of 0.05 at 5% level of significance, it is concluded that   and   are not jointly significant

Since, the p-value of the F-statistic is 0.9397 which is greater than the critical p-value of 0.05 at 5% level of significance, it is concluded that     <div class=answer> (i) On adding   and   , the regression equation is:   The result is:   The regression equation is:   Test for the joint significance of the lagged variables   and   using Wald test     and   are not jointly significant     and   are jointly significant   Since, the p-value of the F-statistic is 0.9397 which is greater than the critical p-value of 0.05 at 5% level of significance, it is concluded that   and   are not jointly significant and    <div class=answer> (i) On adding   and   , the regression equation is:   The result is:   The regression equation is:   Test for the joint significance of the lagged variables   and   using Wald test     and   are not jointly significant     and   are jointly significant   Since, the p-value of the F-statistic is 0.9397 which is greater than the critical p-value of 0.05 at 5% level of significance, it is concluded that   and   are not jointly significant are not jointly significant


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