Problem 3 Stata Output Analysis Suppose a study investigates the causal effect of education on wages. Table 1 reports the results of an OLS regression of wages (wage per hour in dollars) on education (years in education). Table 1 Source SS df MS Number of obs = 3,017 F(1, 3015) = 298.39 Model Residual 18904467 191011981 1 18904467 3,015 63353.8909 Prob > F 0.0000 R-squared 0.0901 Adj R-squared 0.0898 Total 209916448 3,016 69600.9444 Root MSE 251.7 wage Coef. Std. Err. t P>|t| [95% Conf. Interval] education cons 29.56644 183.9342 1.711605 23.15976 17.27 0.000 7.94 0.000 26.21041 138.5237 32.92247 229.3447 a. How would you write this relationship using the Core Model? (5 points) b. What is the value for B₁, the coefficient on Education? (2 points) C. What is the standard error of ẞ₁? (2 points) d. What is the R squared for the model? (2 points) e. What is the t statistic for ₁at the 5% level of significance? (2 points) Λ f. What is the 95% confidence interval for B₁? (2 points) Λ g. Explain what the regression output tells you about the effect of education on wages. In other words, interpret ẞ₁. (5 points) 1. h. Is this effect of education on wages statistically significant at the 5% level of significance? Justify your answer. (5 points) i. Use the p value approach to determine whether the effect of education on wages is statistically significant at the 5% level of significance (α = 0.05). (5 points)
Problem 3 Stata Output Analysis Suppose a study investigates the causal effect of education on wages. Table 1 reports the results of an OLS regression of wages (wage per hour in dollars) on education (years in education). Table 1 Source SS df MS Number of obs = 3,017 F(1, 3015) = 298.39 Model Residual 18904467 191011981 1 18904467 3,015 63353.8909 Prob > F 0.0000 R-squared 0.0901 Adj R-squared 0.0898 Total 209916448 3,016 69600.9444 Root MSE 251.7 wage Coef. Std. Err. t P>|t| [95% Conf. Interval] education cons 29.56644 183.9342 1.711605 23.15976 17.27 0.000 7.94 0.000 26.21041 138.5237 32.92247 229.3447 a. How would you write this relationship using the Core Model? (5 points) b. What is the value for B₁, the coefficient on Education? (2 points) C. What is the standard error of ẞ₁? (2 points) d. What is the R squared for the model? (2 points) e. What is the t statistic for ₁at the 5% level of significance? (2 points) Λ f. What is the 95% confidence interval for B₁? (2 points) Λ g. Explain what the regression output tells you about the effect of education on wages. In other words, interpret ẞ₁. (5 points) 1. h. Is this effect of education on wages statistically significant at the 5% level of significance? Justify your answer. (5 points) i. Use the p value approach to determine whether the effect of education on wages is statistically significant at the 5% level of significance (α = 0.05). (5 points)
Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter7: Production Economics
Section: Chapter Questions
Problem 1.3CE
Related questions
Question
![Problem 3
Stata Output Analysis
Suppose a study investigates the causal effect of education on wages.
Table 1 reports the results of an OLS regression of wages (wage per hour in dollars) on
education (years in education).
Table 1
Source
SS
df
MS
Number of obs
=
3,017
F(1, 3015)
=
298.39
Model
Residual
18904467
191011981
1
18904467
3,015 63353.8909
Prob > F
0.0000
R-squared
0.0901
Adj R-squared
0.0898
Total
209916448
3,016 69600.9444
Root MSE
251.7
wage
Coef. Std. Err.
t
P>|t|
[95% Conf. Interval]
education
cons
29.56644
183.9342
1.711605
23.15976
17.27 0.000
7.94 0.000
26.21041
138.5237
32.92247
229.3447
a. How would you write this relationship using the Core Model? (5 points)
b. What is the value for B₁, the coefficient on Education? (2 points)
C. What is the standard error of ẞ₁? (2 points)
d. What is the R squared for the model? (2 points)
e. What is the t statistic for ₁at the 5% level of significance? (2 points)
Λ
f. What is the 95% confidence interval for B₁? (2 points)
Λ
g. Explain what the regression output tells you about the effect of education on wages.
In other words, interpret ẞ₁. (5 points)
1.
h. Is this effect of education on wages statistically significant at the 5% level of
significance? Justify your answer. (5 points)
i.
Use the p value approach to determine whether the effect of education on wages is
statistically significant at the 5% level of significance (α = 0.05). (5 points)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F39ca6e7d-e38f-4091-8c6a-8337cb78f433%2Ffc85bedc-d3b7-4b54-b23c-9e5dda54a6da%2F2jpals9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 3
Stata Output Analysis
Suppose a study investigates the causal effect of education on wages.
Table 1 reports the results of an OLS regression of wages (wage per hour in dollars) on
education (years in education).
Table 1
Source
SS
df
MS
Number of obs
=
3,017
F(1, 3015)
=
298.39
Model
Residual
18904467
191011981
1
18904467
3,015 63353.8909
Prob > F
0.0000
R-squared
0.0901
Adj R-squared
0.0898
Total
209916448
3,016 69600.9444
Root MSE
251.7
wage
Coef. Std. Err.
t
P>|t|
[95% Conf. Interval]
education
cons
29.56644
183.9342
1.711605
23.15976
17.27 0.000
7.94 0.000
26.21041
138.5237
32.92247
229.3447
a. How would you write this relationship using the Core Model? (5 points)
b. What is the value for B₁, the coefficient on Education? (2 points)
C. What is the standard error of ẞ₁? (2 points)
d. What is the R squared for the model? (2 points)
e. What is the t statistic for ₁at the 5% level of significance? (2 points)
Λ
f. What is the 95% confidence interval for B₁? (2 points)
Λ
g. Explain what the regression output tells you about the effect of education on wages.
In other words, interpret ẞ₁. (5 points)
1.
h. Is this effect of education on wages statistically significant at the 5% level of
significance? Justify your answer. (5 points)
i.
Use the p value approach to determine whether the effect of education on wages is
statistically significant at the 5% level of significance (α = 0.05). (5 points)
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