Run a regression of average hourly earnings (wage) on education (educ), experience (exper), exper2, sex (female), marital status (married) and num- ber of dependents (numdep). Discuss the statistical significance of each of the slope coefficients and interpret the coefficients on female and married. If experience increases from 20 years to 21 years, how are earnings expected to change? If experience increases from 35 years to 36 years, how are earnings expected to change? Compare the results.

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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Run a regression of average hourly earnings (wage) on education (educ), experience (exper), exper2, sex (female), marital status (married) and num- ber of dependents (numdep). Discuss the statistical significance of each of the slope coefficients and interpret the coefficients on female and married. If experience increases from 20 years to 21 years, how are earnings expected to change? If experience increases from 35 years to 36 years, how are earnings expected to change? Compare the results.

SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R S 0.31182246
Standard Erre 3.06365368
0.56424865
0.31837653
Observations
526
ANOVA
df
MS
Significance F
F
Regression
5
2279.7079 455.941579 48.5769069 3.0428E-41
Residual
520 4880.70641 9.38597387
Total
525 7160.41431
Coefficients Standard Erro.
t Stat
P-value
Lower 95%
Upper 95% Lower 95.0% Upper 95.0%
Intercept
educ
-2.2090053 0.80765943 -2.7350703 0.00644963 -3.7956817 -0.6223289 -3.7956817 -0.6223289
0.60465381 0.05380413 11.2380552 2.2078E-26 0.49895362 0.71035399 0.49895362 0.71035399
0.05894878
0.0112905 5.22109466 2.5761E-07 0.03676818 0.08112939 0.03676818 0.08112939
өxper
female
-2.0832992
0.2722011
-7.6535297 9.5722E-14 -2.6180482 -1.5485502 -2.6180482 -1.5485502
married
0.55718746 0.30554998 1.82355585 0.06879314 -0.0430766 1.15745155
-0.0430766 1.15745155
numdep
0.15806061 0.11274027 1.40198891 0.16151519 -0.0634218 0.37954298
-0.0634218 0.37954298
Transcribed Image Text:SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R S 0.31182246 Standard Erre 3.06365368 0.56424865 0.31837653 Observations 526 ANOVA df MS Significance F F Regression 5 2279.7079 455.941579 48.5769069 3.0428E-41 Residual 520 4880.70641 9.38597387 Total 525 7160.41431 Coefficients Standard Erro. t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept educ -2.2090053 0.80765943 -2.7350703 0.00644963 -3.7956817 -0.6223289 -3.7956817 -0.6223289 0.60465381 0.05380413 11.2380552 2.2078E-26 0.49895362 0.71035399 0.49895362 0.71035399 0.05894878 0.0112905 5.22109466 2.5761E-07 0.03676818 0.08112939 0.03676818 0.08112939 өxper female -2.0832992 0.2722011 -7.6535297 9.5722E-14 -2.6180482 -1.5485502 -2.6180482 -1.5485502 married 0.55718746 0.30554998 1.82355585 0.06879314 -0.0430766 1.15745155 -0.0430766 1.15745155 numdep 0.15806061 0.11274027 1.40198891 0.16151519 -0.0634218 0.37954298 -0.0634218 0.37954298
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