Part 3: Interpretation of OLS regression Consider the following OLS regression output which is estimated with Wage2.dta (see tutorial folder on Blackboard) MS 935 36.82 Source ss df Number of obs F (4, 930) Model 22.6467366 4 5.66168416 Prob > F 0.0000 Residual 143.009547 930 .153773706 0.1367 R-squared Adj R-squared Root MSE 0.1330 Total 165.656283 934 .177362188 .39214 lwage Coef. Std. Err. P>|t| (95% Conf. Interval] educ .0400982 .0068351 5.87 0.000 .0266843 .0535122 .0009967 0.000 .005914 .0035899 .0039579 -.0219954 -.0003389 1Q 5.93 .0078701 hours .013037 .0001298 .3240363 0.28 0.783 0.517 0.000 .0291752 hours2 -.0000842 -0.65 .0001706 _cons 5.649044 17.43 5.013117 6.284971 where Iwage is the natural logarithm of monthly wage in US$, educ is years of education, IQ is points on an IQ intelligence test, hours is average weekly hours worked, and hours2 is experience squared (hours * hours). Assume that MLR 1-6 hold. 2 8. Write down the econometric model that this OLS regression estimates. 9. Interpret the educ coefficient. 10. At how many average weekly hours worked is the marginal effect of hours on predicted wage equal to zero? 11. What is the exact effect (in percent) of an increase of 10 years of education on predicted wage? | 12. What is the predicted monthly wage in US$ for a worker with 10 years of education, an IQ score of 100, who works on average 40 hours per week?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 22EQ
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Just need the answer to Q12 please, i have attached my answers to 8-11

Park 3: latorprahehtan of OLS reyussian
8 llase - 5.65 +0. 04 adut + 0.0061G 0.003hars - 0.0000 Bhars
9) The velue f educ coefArieat 0.04
10) 21. 31
D40-10%
12)
Transcribed Image Text:Park 3: latorprahehtan of OLS reyussian 8 llase - 5.65 +0. 04 adut + 0.0061G 0.003hars - 0.0000 Bhars 9) The velue f educ coefArieat 0.04 10) 21. 31 D40-10% 12)
Part 3: Interpretation of OLS regression
Consider the following OLS regression output which is estimated with Wage2.dta (see
tutorial folder on Blackboard)
Source
ss
df
MS
Number of obs
935
F (4, 930)
36.82
Model
22.6467366
4 5.66168416
Prob > F
0.0000
Residual
143.009547
930
.153773706
R-squared
0.1367
Adj R-squared
0.1330
Total
165.656283
934
.177362188
Root MSE
.39214
1wage
Coef.
Std. Err.
t
P>|t|
[95% Conf. Interval)
educ
.0400982
.0068351
5.87
0.000
.0266843
.0535122
IQ
.005914
.0009967
5.93
0.000
.0039579
.0078701
.0035899
.013037
.0001298
hours
0.28
0.783
-.0219954
.0291752
hours2
-.0000842
5.649044
-0.65
0.517
-.0003389
.0001706
cons
.3240363
17.43
0.000
5.013117
6.284971
where Iwage is the natural logarithm of monthly wage in US$, educ is years of education, IQ
is points on an IQ intelligence test, hours is average weekly hours worked, and hours2 is
experience squared (hours * hours). Assu
me that MLR 1-6 hold.
2
8. Write down the econometric model that this OLS regression estimates.
9. Interpret the educ coefficient.
10. At how many average weekly hours worked is the marginal effect of hours on
predicted wage equal to zero?
11. What is the exact effect (in percent) of an increase of 10 years of education on
predicted wage?||
12. What is the predicted monthly wage in US$ for a worker with 10 years of education,
an IQ score of 100, who works on average 40 hours per week?
Transcribed Image Text:Part 3: Interpretation of OLS regression Consider the following OLS regression output which is estimated with Wage2.dta (see tutorial folder on Blackboard) Source ss df MS Number of obs 935 F (4, 930) 36.82 Model 22.6467366 4 5.66168416 Prob > F 0.0000 Residual 143.009547 930 .153773706 R-squared 0.1367 Adj R-squared 0.1330 Total 165.656283 934 .177362188 Root MSE .39214 1wage Coef. Std. Err. t P>|t| [95% Conf. Interval) educ .0400982 .0068351 5.87 0.000 .0266843 .0535122 IQ .005914 .0009967 5.93 0.000 .0039579 .0078701 .0035899 .013037 .0001298 hours 0.28 0.783 -.0219954 .0291752 hours2 -.0000842 5.649044 -0.65 0.517 -.0003389 .0001706 cons .3240363 17.43 0.000 5.013117 6.284971 where Iwage is the natural logarithm of monthly wage in US$, educ is years of education, IQ is points on an IQ intelligence test, hours is average weekly hours worked, and hours2 is experience squared (hours * hours). Assu me that MLR 1-6 hold. 2 8. Write down the econometric model that this OLS regression estimates. 9. Interpret the educ coefficient. 10. At how many average weekly hours worked is the marginal effect of hours on predicted wage equal to zero? 11. What is the exact effect (in percent) of an increase of 10 years of education on predicted wage?|| 12. What is the predicted monthly wage in US$ for a worker with 10 years of education, an IQ score of 100, who works on average 40 hours per week?
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