A regression of ln(wage) on educ, exper, exper2, female, married, numdep and two interaction terms female ∗ edu and female ∗ married.  (For the interaction

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
icon
Related questions
icon
Concept explainers
Question

Given:

A regression of ln(wage) on educ, exper, exper2, female, married, numdep and two interaction terms female ∗ edu and female ∗ married. 

(For the interaction terms I multiplied female data  x edu data and so forth)

Question: What does the coefficient on the interaction term measure? Interpret the coefficients on the interaction term, female ∗ edu and female ∗ married.

SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R S 0.42262712
Standard Erre
0.65682965
0.43142519
0.4038896
Observations
526
ANOVA
df
MS
Significance F
F
Regression
8 63.9931886 7.99914858 49.0363833
9.845E-59
Residual
517 84.3365586 0.16312681
Total
525 148.329747
Coefficients Standard Erro.
t Stat
P-value
Lower 95%
Upper 95% Lower 95.0% Upper 95.0%
Intercept
0.37273973 0.12633012 2.95052153 0.00331624 0.12455625 0.62092322 0.12455625 0.62092322
educ
0.07602614 0.00892242 8.52079887 1.7436E-16 0.05849748 0.09355479 0.05849748 0.09355479
0.03722696 0.00524499 7.09762926 4.2092E-12 0.02692286 0.04753107 0.02692286 0.04753107
exper
female
-0.1438991 0.17211192 -0.8360787
0.4034969 -0.4820238 0.19422563 -0.4820238 0.19422563
married
0.27040758 0.05767872 4.68816907 3.5312E-06
0.1570941 0.38372106
0.1570941 0.38372106
numdep
exper^2
female * edu 0.00308894 0.01317936 0.23437727 0.81478489 -0.0228027 0.02898062 -0.0228027 0.02898062
-0.033236 0.01560147 -2.1303145 0.03361711 -0.0638861
-0.002586 -0.0638861
-0.002586
-0.0006884 0.00011507 -5.9824669 4.1073E-09 -0.0009145
-0.0004623 -0.0009145
-0.0004623
female * mari -0.3636139 0.07400579 4.9133179
1.2037E-06
-0.509003 -0.2182249
-0.509003
-0.2182249
Transcribed Image Text:SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R S 0.42262712 Standard Erre 0.65682965 0.43142519 0.4038896 Observations 526 ANOVA df MS Significance F F Regression 8 63.9931886 7.99914858 49.0363833 9.845E-59 Residual 517 84.3365586 0.16312681 Total 525 148.329747 Coefficients Standard Erro. t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 0.37273973 0.12633012 2.95052153 0.00331624 0.12455625 0.62092322 0.12455625 0.62092322 educ 0.07602614 0.00892242 8.52079887 1.7436E-16 0.05849748 0.09355479 0.05849748 0.09355479 0.03722696 0.00524499 7.09762926 4.2092E-12 0.02692286 0.04753107 0.02692286 0.04753107 exper female -0.1438991 0.17211192 -0.8360787 0.4034969 -0.4820238 0.19422563 -0.4820238 0.19422563 married 0.27040758 0.05767872 4.68816907 3.5312E-06 0.1570941 0.38372106 0.1570941 0.38372106 numdep exper^2 female * edu 0.00308894 0.01317936 0.23437727 0.81478489 -0.0228027 0.02898062 -0.0228027 0.02898062 -0.033236 0.01560147 -2.1303145 0.03361711 -0.0638861 -0.002586 -0.0638861 -0.002586 -0.0006884 0.00011507 -5.9824669 4.1073E-09 -0.0009145 -0.0004623 -0.0009145 -0.0004623 female * mari -0.3636139 0.07400579 4.9133179 1.2037E-06 -0.509003 -0.2182249 -0.509003 -0.2182249
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning