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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question

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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

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.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman