logWage=B1 + B2 educ + €, where . 1. logWage means the log of yearly wage measured in dollars. 2. educ means years of education (schooling) The regression output is given below: reg logwage educ Source | SS df MS Number of obs = 100 F(2, 97) 97.20 Model 0.250000 1 .246632 Prob > F = 0.0000 Residual | 0.250000 98 .002537 R-squared = 0.5000 Adj R-squared = 0.4900 Total | 20000.00 99 200.00 Root MSE = 0.0503 logwage | Coef. Std. Err. t P>|t| [95% Conf. Interval] educ _cons | 0.40000 5.00000 0.200000 0.100000 2.00 0.050 0.0000000 0.800000 10.00 0.000 4.8000000 5.200000

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
Question

Let the estimate for the expected value of wage at 10 years of education be 10,000. What is the expected value of the elasticity of education on wages for a person with 10 years of education?

(a) 4

(b) 10

(c) 8

(d) 5

(e) 1

logWage=B1 + B2 educ + €, where
.
1. logWage means the log of yearly wage measured in dollars.
2. educ means years of education (schooling)
The regression output is given below:
reg logwage educ
Source |
SS
df
MS
Number of obs
=
100
F(2, 97)
97.20
Model
0.250000
1
.246632
Prob > F
=
0.0000
Residual | 0.250000
98
.002537
R-squared
=
0.5000
Adj R-squared
=
0.4900
Total |
20000.00
99
200.00
Root MSE
=
0.0503
logwage |
Coef.
Std. Err.
t
P>|t|
[95% Conf. Interval]
educ
_cons |
0.40000
5.00000
0.200000
0.100000
2.00 0.050
0.0000000
0.800000
10.00 0.000
4.8000000
5.200000
Transcribed Image Text:logWage=B1 + B2 educ + €, where . 1. logWage means the log of yearly wage measured in dollars. 2. educ means years of education (schooling) The regression output is given below: reg logwage educ Source | SS df MS Number of obs = 100 F(2, 97) 97.20 Model 0.250000 1 .246632 Prob > F = 0.0000 Residual | 0.250000 98 .002537 R-squared = 0.5000 Adj R-squared = 0.4900 Total | 20000.00 99 200.00 Root MSE = 0.0503 logwage | Coef. Std. Err. t P>|t| [95% Conf. Interval] educ _cons | 0.40000 5.00000 0.200000 0.100000 2.00 0.050 0.0000000 0.800000 10.00 0.000 4.8000000 5.200000
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