According to human capital theory, a person’s earning is linked to her level of education – there is a relationship between workers income and years of education. Using data from the Labour Force Survey, a researcher found the following regression results for earnings on intercept, years of education, experience, and experience squared:                         Earnings =    5.24  +  0.035 educ + 0.165 exper – 0.003 exper2                                            (2.45)      (0.012)                 (0.031)               (0.001)      Construct a 95% confidence interval for the effect of years of education on earnings  ?                                                                                                                                                                           2. Consider an individual with 8 years of experience. What would you expect to be the return to two (2) additional years of experience (the effect on earnings)?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 2EA
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According to human capital theory, a person’s earning is linked to her level of education – there is a relationship between workers income and years of education. Using data from the Labour Force Survey, a researcher found the following regression results for earnings on intercept, years of education, experience, and experience squared:

 

                      Earnings =    5.24  +  0.035 educ + 0.165 exper – 0.003 exper2

                                           (2.45)      (0.012)                 (0.031)               (0.001)

    

  1. Construct a 95% confidence interval for the effect of years of education on earnings  ?                                                                                                                                                                        

 

2. Consider an individual with 8 years of experience. What would you expect to be the return to two (2) additional years of experience (the effect on earnings)? 

 

3. According to economic theory, individuals have different abilities. Taking this into consideration, the correct specification of the regression function should therefore include ability as shown below    ?                                                                                                                    

 

log(earnings) =  β0 + β1 educ + β2 exper + β3 exper2 + β4 ability + ε

 

4.In the above regression, what is your expectation of the sign of the ability coefficient β4? Explain

5.What do you think is the sign of the correlation between ability and years of education?  Give reasons                                                                                                                   

6. Estimating the regression function with ability included, would the estimated value of β1 be greater or less than its value in the regression without ability? Explain                  

 

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