Given,
Wi=exp(α+βeducationi+εi)=
Now taking natural log on the both sides:
lnWi=ln
=loge
=
(α+βeducationi+εi) x (lnee)
or lnWi= α+βeducationi+εi
On this model, OLS can be applied.
Economic theory tells you that wages have the following functional form W; = exp(a + BEducation;...
Considering the following economic model of wages and education: wage-b0+b1educ+u, where wage is the individuals hourly wage, educ is the individual's years of schooling, u is the error and b0 and b1 are population parameters Do you expect b1 to be positive or negative. Explain your answer. [2 points] Explain intuitively how an OLS regression fits the relationship between wage and education. [3 points) ii. Showing all of your working, derive the OLS estimators of b0 and b1. [6 points]
Wages (W) and years of education (X) have the following joint
distribution: The fractions in the table are probabilities. That
is, each cell is the probability that the row and column outcome
happen at the same time. • (4 points) Find the marginal probability
distribution for wages W. Hint: W takes on four values, you need to
find the probability that it equals each one. • (4 points) Find the
marginal probability distribution function for education X. • (5
points)...
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2) A cross-sectional study suggests the following wage equation: In(wage,)-α + βι EDUC' + β:FEMALE + β3EXPER, + β4FEMALE EXPERi + ei Where: In(wage): Natural logarithm of f hourly wage; EDUC: Years of education; EXPER: Years of work experience; FEMALE: Dummy which equals 1 if the respondent is female and 0 otherwise; FEMALE EXPER:Interaction between FEMALE, and EXPER a) What is meant by the population level regression...
III-(15pts) You are given the following estimated equation: log(wage)- 0.18+0.093edu +0.044exp+0.043 female-0.016edu female-0.010exp female-0.00068 exp (0.0001) 0.014) 0.4160 0.003 Std errors (0.132) (0.009) (0.005) (0.196) n-526 R-square With all the variables described as follows: logiwage)-log of average hourly wage: female is a dummy variable equal to 1 if the observed person is a female, and 0 if male; edu female is an interaction variable equal to education 'female; edu is the number of years of schooling exp is the number...
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d) Afler OLS estimation the following results are obtained (estimated standand emors for the estimated coefficients are in parentheses) In(wage)-0.36+0.09EDUC-.1SFEMALE+0O2EXPER o6) CI) O) Col) OIFEMALE EXPER (,003) R-0.37,n-526 Conduct a significance test to see whether years of education have a significant effect on wages 5 marks) ECO107/1005 e) Conduct an ovcrall F-iest to determine whether there is ovcrall regression significance 10 marks] Another OLS...
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ANSWER FROM LETTER "E" AND DOWNWARDS
III- (15pts) You are given the following economic model 0.013 -$26 Rsquare- 0.4177 0.0012ten (0.00024 log(wage) 0.478 + 0.085edu + 0.059ten-0.058/emale-0.01 ledu.female-0.02 1/emale./en- Std errors (0.113) (0.008) (0.007) (0.174) (0.006 With all the variables described as follows: log(wage) -log of average hourly wage; female is a dummy variable equal to 1 if the observed person is a female, and O if make; edu female is an interaction variable equal to education'female; edu is...
Where wage is in 1000's of dollars. Now suppose that your econometrics give you the to Wage = Bo + Bi Education + e that your econometrics give you the following results: Constant Education Coefficient 45.32 10.32 5 Standard Error 30.65 2.35 N=42 a. Estimate a 95% confidence interval for a 95% confidence interval for B.. Show your work carefully. What does this ence interval tell us about the relationship between education and wages? (2 marks) b. Test at the...
You are hired as an economic consultant by a state government that w like to analyse th your answer you should use appropriate models (and diagrams) studied in class. impact of legalization of mar n Of ǐftre na tak ng acco otential mar e ucture . n Assume for now that the marijuana market is a single-price monopoly where market demand is linear and downward-sloping and the suppliers' marginal cost is upward sloping. 3. The state government tells you that...
You are asked to investigate the
return to experience (1.e., the increase in salary for an additional
year of teaching experience) for college teachers. You first propose the
following econometric model: sal = Bo + Bi expi+ B, D + u (4A) where
sal, is the monthly salary of a college teacher, exp, is years of
teaching experience, and D, is a dummy variable (which is 1 if the
teacher has a doctoral degree and is otherwise). You then estimate...
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Multiple Regression Analysis 5. (7 marks) The population regression model under study is: where educt is years of schooling for the t'th working person sibst is number of siblings for the t'th working person meduct is mother's years of schooling for the t'th working person feduct is father's years of schooling for the t'th working person. i What are the probable signs of B1, P2 and ß3? Explain ii Using the data in...