Homework Answers
We find the P-value using Excel function "TDIST()" as :
Since,
P-value = 0.0014 < 0.05 (Level of significance), we reject the null hypothesis.
Correct option : A. Reject the null
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For 600 individuals, there is data on annual wage income (wage;) and years of education (educi)....
Consider the model, Y; = Bo + B1 Xi+Uj, where you suspect Xi is endogenous. You...
Consider the model, Y; = Bo + B1 Xi+Uj, where you suspect Xi is endogenous. You have an exogenous instrument and you estimate the first stage to recover the residuals, Vhatj. You want to test for endogeneity so you estimate the following model using OLS: Y= Bo + B1 Xi + B2 Vhat; + Uj. The estimation results from 100 observations are in the table: Coefficient Standard Errors Constant 2.63 0.98 X 0.97 0.57 Vhat 0.47 0.10 Please select your...
Consider the model, Yi = Bo + B1 Xi + Uj, where you suspect Xi is...
Consider the model, Yi = Bo + B1 Xi + Uj, where you suspect Xi is endogenous. You have an exogenous instrument and you estimate the first stage to recover the residuals, Vhati. You want to test for endogeneity so you estimate the following model using OLS: Y; = Bo + B1 Xì + B2 Vhat; + Uj. The estimation results from 100 observations are in the table: Coefficient Standard Errors constant 2.96 0.47 X 0.75 0.85 Vhat 0.37 0.15...
Consider the relationship between hourly wage rate and education attainment. A random sample of 21 male...
Consider the relationship between hourly wage rate and education attainment. A random sample of 21 male workers was collected to estimate the following model Y; = Bo + B1X; + uj, for i = 1,..., 21. Here, Y; is the logarithm of hourly wage rate, log(wage), for the i-th worker. Xi is the education level, husedu, of the i-th worker, which is measured as the years of schooling, and uị is the error term for the i-th worker. The ordinary...
Suppose you estimate the following model by OLS: wage = β0 + β1educ + β2exper +...
Suppose you estimate the following model by OLS: wage = β0 + β1educ + β2exper + u wage : hourly age in dollars educ : years of education exper : years of experience You obtain the following fitted model using STATA, where standard errors are given in parenthesis wage [ = 3.5 + 0.9educ + 1.5exper (2.0) (0.7) (0.5) Number obs. : 523 R 2 = 0.45 For the following questions, make use to the relevant statistical tables. If you...
Where wage is in 1000's of dollars. Now suppose that your econometrics give you the to...
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...
A researcher wants to determine if the number of years of education that a person's father...
A researcher wants to determine if the number of years of education that a person's father has ("paeduc") is related to the number of years of education that the person has ("educ"). He uses simple linear regression to examine this question. The output from Excel is shown below. Regression Statistics Multiple R 0.527393938 R Square 0.278144366 Adjusted R Square 0.264776669 Standard Error 2.436826202 Observations 56 ANOVA df F Significance F 2.96139E-05 20.8072 Regression Residual Total SS MS 123.555701 123.5557 320.6585847...
2. Using data from 2013 on 64 black females, the estimated linear regression between WAGE (earnings...
2. Using data from 2013 on 64 black females, the estimated linear regression between WAGE (earnings per hour, in S) and years of education, EDUC is WAGE8.451.99EDUC The standard error of the estimated slope coefficient is 0.52. Construct and interpret a 95% interval estimate for the effect of an additional year of education on a black female's expected hourly wage rate a. b. The standard error of the estimated intercept is 7.39. Test the null hypothesis that the intercept A-0...
0 The following data represent the level Education of health and the level of education for...
0 The following data represent the level Education of health and the level of education for Not a H.S. graduate a random sample of 1687 residents H.S. graduate Complete parts (a) and (b) below. Some college Bachelor Degree or higher Excellent 74 92 63 75 Good 134 121 148 137 Fair 109 95 80 105 Poor 118 93 126 117 (a) Does the sample evidence suggest that level of education and health are independent at the a=0.05 level of significance?...
1. The following sample on the level of education (measured by the number of years of schooling) ...
1. The following sample on the level of education (measured by the number of years of schooling) and wages (hourly) earned by 15 individuals is as follows: Education Wages (S) Education Wages (S) 4.45 5.57 5.97 7.33 7.31 6.58 4.45 13.53 10 12 14 15 16 17 15 7.31 7.82 11.02 10.67 10.83 13.61 10.67 9 10 18 According to the human capital theory education increases a worker's pro- ductivity and thus leads to higher wages. Consider the economic model...
Two plots at Rothamsted Experimental Station were studied for production of wheat straw. For a random sample of years, the annual wheat straw production (in pounds) from one plot was as follows. 6....
Two plots at Rothamsted Experimental Station were studied for production of wheat straw. For a random sample of years, the annual wheat straw production (in pounds) from one plot was as follows. 6.33 5.84 5.98 5.77 7.31 7.18 7.06 5.79 6.24 5.91 6.14 Use a calculator to verify that, for this plot, the sample variance is s2 ≈ 0.340. Another random sample of years for a second plot gave the following annual wheat production (in pounds). 5.91 5.77 6.47 6.75...
Consider the model, Y; = Bo + B1 Xi+Uj, where you suspect Xi is endogenous. You have an exogenous instrument and you estimate the first stage to recover the residuals, Vhatj. You want to test for endogeneity so you estimate the following model using OLS: Y= Bo + B1 Xi + B2 Vhat; + Uj. The estimation results from 100 observations are in the table: Coefficient Standard Errors Constant 2.63 0.98 X 0.97 0.57 Vhat 0.47 0.10 Please select your...
Consider the model, Yi = Bo + B1 Xi + Uj, where you suspect Xi is endogenous. You have an exogenous instrument and you estimate the first stage to recover the residuals, Vhati. You want to test for endogeneity so you estimate the following model using OLS: Y; = Bo + B1 Xì + B2 Vhat; + Uj. The estimation results from 100 observations are in the table: Coefficient Standard Errors constant 2.96 0.47 X 0.75 0.85 Vhat 0.37 0.15...
Consider the relationship between hourly wage rate and education attainment. A random sample of 21 male workers was collected to estimate the following model Y; = Bo + B1X; + uj, for i = 1,..., 21. Here, Y; is the logarithm of hourly wage rate, log(wage), for the i-th worker. Xi is the education level, husedu, of the i-th worker, which is measured as the years of schooling, and uị is the error term for the i-th worker. The ordinary...
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...
A researcher wants to determine if the number of years of education that a person's father has ("paeduc") is related to the number of years of education that the person has ("educ"). He uses simple linear regression to examine this question. The output from Excel is shown below. Regression Statistics Multiple R 0.527393938 R Square 0.278144366 Adjusted R Square 0.264776669 Standard Error 2.436826202 Observations 56 ANOVA df F Significance F 2.96139E-05 20.8072 Regression Residual Total SS MS 123.555701 123.5557 320.6585847...
2. Using data from 2013 on 64 black females, the estimated linear regression between WAGE (earnings per hour, in S) and years of education, EDUC is WAGE8.451.99EDUC The standard error of the estimated slope coefficient is 0.52. Construct and interpret a 95% interval estimate for the effect of an additional year of education on a black female's expected hourly wage rate a. b. The standard error of the estimated intercept is 7.39. Test the null hypothesis that the intercept A-0...
0 The following data represent the level Education of health and the level of education for Not a H.S. graduate a random sample of 1687 residents H.S. graduate Complete parts (a) and (b) below. Some college Bachelor Degree or higher Excellent 74 92 63 75 Good 134 121 148 137 Fair 109 95 80 105 Poor 118 93 126 117 (a) Does the sample evidence suggest that level of education and health are independent at the a=0.05 level of significance?...
1. The following sample on the level of education (measured by the number of years of schooling) and wages (hourly) earned by 15 individuals is as follows: Education Wages (S) Education Wages (S) 4.45 5.57 5.97 7.33 7.31 6.58 4.45 13.53 10 12 14 15 16 17 15 7.31 7.82 11.02 10.67 10.83 13.61 10.67 9 10 18 According to the human capital theory education increases a worker's pro- ductivity and thus leads to higher wages. Consider the economic model...
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