WAGE = 3, + BEDUC + B„Exper + BErper² + e (a) What is the marginal effect of experience on wages? (b) What signs do you expect for each of the coefficients 32, 83, 34? Why? (c) After how many years of experience do wages start to decline? (Express your answer in terms of S's)

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When estimating wage wage equations, we expect that young, inexperienced workers will
have relatively low wages and that with additional experience their wages will increase,
but then begin to decrease after middle age, as the worker nears retirement. This life-
cycle pattern of wages can be captured by introducing experience and experience squared to
explain the level of wages. If we also include years of education, we have the equation:
WAGE = 3, + BEDUC + BErper + B,Erper² +e
(a) What is the marginal effect of experience on wages?
(b) What signs do you expect for each of the coefficients 82, 83, 84? Why?
(c) After how many years of experience do wages start to decline? (Express your answer in
terms of B's)
(d) The result from estimating the equation using 1000 observations are given in the table
belove. Find the 95% interval estimates for:
(d-i) The marginal effect of education on wages
(d-ii) The marginal effect of experience on wages for a given experience level (let's say
EXPER=4)
(d-iii) The marginal effect of experience on wages for a given experience level (let's say
EXPER=25)
(d-iv) The number of years of experience after which wages decline.
Variable
Coefficient
Std. Error
1-Stat
Prob.
-134303
2.0285
-6.621
16.334
0.000
EDUC
2.2774
0.1394
0.000
EXPER
0.6821
0.1048
6.507
0.000
EXPER
-0.0101
0.0019
-5.412
0.000
Covariance Matrix for Least Squares Estimates
EDUC
EXPER
EXPER
4.114757339
-0.215505842
-0.124023160
0.001822688
EDUC
-0.215505842
0.01944028 I
-0.000217577
0.000015472
EXPER
-0.124023160
-0.000217577
0.010987185
-0.000189259
EXPER
0.001822688
0.000015472
-0.000189259
0.000003476
Transcribed Image Text:When estimating wage wage equations, we expect that young, inexperienced workers will have relatively low wages and that with additional experience their wages will increase, but then begin to decrease after middle age, as the worker nears retirement. This life- cycle pattern of wages can be captured by introducing experience and experience squared to explain the level of wages. If we also include years of education, we have the equation: WAGE = 3, + BEDUC + BErper + B,Erper² +e (a) What is the marginal effect of experience on wages? (b) What signs do you expect for each of the coefficients 82, 83, 84? Why? (c) After how many years of experience do wages start to decline? (Express your answer in terms of B's) (d) The result from estimating the equation using 1000 observations are given in the table belove. Find the 95% interval estimates for: (d-i) The marginal effect of education on wages (d-ii) The marginal effect of experience on wages for a given experience level (let's say EXPER=4) (d-iii) The marginal effect of experience on wages for a given experience level (let's say EXPER=25) (d-iv) The number of years of experience after which wages decline. Variable Coefficient Std. Error 1-Stat Prob. -134303 2.0285 -6.621 16.334 0.000 EDUC 2.2774 0.1394 0.000 EXPER 0.6821 0.1048 6.507 0.000 EXPER -0.0101 0.0019 -5.412 0.000 Covariance Matrix for Least Squares Estimates EDUC EXPER EXPER 4.114757339 -0.215505842 -0.124023160 0.001822688 EDUC -0.215505842 0.01944028 I -0.000217577 0.000015472 EXPER -0.124023160 -0.000217577 0.010987185 -0.000189259 EXPER 0.001822688 0.000015472 -0.000189259 0.000003476
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