Given: A regression of the logarithm of average hourly earnings, ln(wage) on educ, exper, exper2, female, married and numdep. Question: What is the statistical significance of each of the slope coefficients and interpret the coefficient on female and married.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.4: Two-ways Tables
Problem 12E
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Given: A regression of the logarithm of average hourly earnings, ln(wage) on educ, exper, exper2, female, married and numdep.

Question: What is the statistical significance of each of the slope coefficients and interpret the coefficient on female and married.

SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R S 0.3979933
0.63629661
0.40487338
Standard Erre 0.41241565
Observations
526
ANOVA
df
Significance F
MS
F
Regression
6 60.0547654 10.0091276 58.8472192
1.832E-55
Residual
519 88.2749818 0.17008667
Total
525 148.329747
Coefficients Standard Ero.
t Stat
P-value
Lower 95%
Upper 95% Lower 95.0% Upper 95.0%
Intercept
educ
0.44881563 0.10875487 4.12685549 4.2837E-05 0.23516176
0.6624695 0.23516176
0.6624695
0.07927285 0.00738126
10.739746 1.9661E-24 0.06477203 0.09377366 0.06477203 0.09377366
0.03744652 0.00535391 6.99423735 8.2538E-12 0.02692852 0.04796452 0.02692852 0.04796452
exper
female
-0.3269239 0.03664357 -B.9217245 7.8791E-18 -0.3989118 -0.2549359 -0.3989118 -0.2549359
married
0.07429063 0.04251718 1.74730847 0.08117529 -0.0092363 0.15781756
-0.0092363 0.15781756
numdep
-0.0236916 0.01580663 -1.4988368 0.13452396 -0.0547444 0.00736128
-0.0547444 0.00736128
exper^2
-0.0006812 0.00011741 -5.8018953 1.1414E-08 -0.0009119 -0.0004505
-0.0009119
-0.0004505
Transcribed Image Text:SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R S 0.3979933 0.63629661 0.40487338 Standard Erre 0.41241565 Observations 526 ANOVA df Significance F MS F Regression 6 60.0547654 10.0091276 58.8472192 1.832E-55 Residual 519 88.2749818 0.17008667 Total 525 148.329747 Coefficients Standard Ero. t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept educ 0.44881563 0.10875487 4.12685549 4.2837E-05 0.23516176 0.6624695 0.23516176 0.6624695 0.07927285 0.00738126 10.739746 1.9661E-24 0.06477203 0.09377366 0.06477203 0.09377366 0.03744652 0.00535391 6.99423735 8.2538E-12 0.02692852 0.04796452 0.02692852 0.04796452 exper female -0.3269239 0.03664357 -B.9217245 7.8791E-18 -0.3989118 -0.2549359 -0.3989118 -0.2549359 married 0.07429063 0.04251718 1.74730847 0.08117529 -0.0092363 0.15781756 -0.0092363 0.15781756 numdep -0.0236916 0.01580663 -1.4988368 0.13452396 -0.0547444 0.00736128 -0.0547444 0.00736128 exper^2 -0.0006812 0.00011741 -5.8018953 1.1414E-08 -0.0009119 -0.0004505 -0.0009119 -0.0004505
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