A dataset contains data on birth weights of 65535 babies born in June 1997 along with variables that are potentially related to birth weights. The sample is restricted to singleton births, with mothers recorded as either black or white, between the ages of 18 and 45, resident in the United States. With the aim to investigate factors influencing the weight of babies at birth, a regression of Weight on a range of variables has been carried out. A description of variables is given below and the estimation results can be found on the following page. Referring to these results, answer the following questions. Keep in mind that two of the regressors, Mom_Age and M_WtGain, are entered in the regression in terms of the deviations from their mean. (a) Interpret the estimated intercept. (b) Are boys, on average, heavier than girls at birth, all other factors being equal? If so, by how much? Is the difference between boys and girls estimated from this regression statistically significant at the 5% level?
A dataset contains data on birth weights of 65535 babies born in June 1997 along with variables that are potentially related to birth weights. The sample is restricted to singleton births, with mothers recorded as either black or white, between the ages of 18 and 45, resident in the United States. With the aim to investigate factors influencing the weight of babies at birth, a regression of Weight on a range of variables has been carried out. A description of variables is given below and the estimation results can be found on the following page. Referring to these results, answer the following questions. Keep in mind that two of the regressors, Mom_Age and M_WtGain, are entered in the regression in terms of the deviations from their mean. (a) Interpret the estimated intercept. (b) Are boys, on average, heavier than girls at birth, all other factors being equal? If so, by how much? Is the difference between boys and girls estimated from this regression statistically significant at the 5% level?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![A dataset contains data on birth weights of 65535 babies born in June 1997
along with variables that are potentially related to birth weights. The sample
is restricted to singleton births, with mothers recorded as either black or
white, between the ages of 18 and 45, resident in the United States.
With the aim to investigate factors influencing the weight of babies at
birth, a regression of Weight on a range of variables has been carried out.
A description of variables is given below and the estimation results can be
found on the following page.
Referring to these results, answer the following questions. Keep in mind
that two of the regressors, Mom_Age and M_WtGain, are entered in the
regression in terms of the deviations from their mean.
(a) Interpret the estimated intercept.
(b) Are boys, on average, heavier than girls at birth, all other factors being
equal? If so, by how much? Is the difference between boys and girls
estimated from this regression statistically significant at the 5% level?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57c087bd-486c-446a-a92d-e441b24bd344%2F7ca63a31-de0c-4d9a-80a0-2a6386b296cd%2Fgqev2hb_processed.png&w=3840&q=75)
Transcribed Image Text:A dataset contains data on birth weights of 65535 babies born in June 1997
along with variables that are potentially related to birth weights. The sample
is restricted to singleton births, with mothers recorded as either black or
white, between the ages of 18 and 45, resident in the United States.
With the aim to investigate factors influencing the weight of babies at
birth, a regression of Weight on a range of variables has been carried out.
A description of variables is given below and the estimation results can be
found on the following page.
Referring to these results, answer the following questions. Keep in mind
that two of the regressors, Mom_Age and M_WtGain, are entered in the
regression in terms of the deviations from their mean.
(a) Interpret the estimated intercept.
(b) Are boys, on average, heavier than girls at birth, all other factors being
equal? If so, by how much? Is the difference between boys and girls
estimated from this regression statistically significant at the 5% level?
![Description of variables: Weight is birth weight in grams, Boy is equal
to 1 if the baby is a boy, 0 if it is a girl, Married is 1 if the mother is married,
O if unmarried.
Education of the mother is divided into four categories: less than high
school, high school (dummy variable Ed_Hs), some college (dummy variable
Ed_SmCol), and college graduate (dummy variable Ed_Col). The omitted
category is "less than high school," so coefficients must be interpreted rela-
tive to this category.
Smoke is equal to 1 if the mother smokes, 0 if she does not, CigsPer is
cigarettes smoked per day, Black is 1 if the mother is black, 0 otherwise.
Mom_Age is age in years, M_WtGain is mother's weight gain in pounds.
The last two variables are entered into the regression as centered around their
mean, Mom_Age_Cntrd and M_WtGain_Cntrd, i.e. Mom_Age_Cntrd
is the variable Mom_Age minus the average age of Mom_Age, and simi-
larly for M_WtGain_Cntrd. The average age of mothers is 27.2 years and
the average weight gain is 30.8 ponds.
Dependent Variable: WEIGHT
Method: Least Squares
Date: 03/11/22 Time: 15:19
Sample: 1 65535
Included observations: 65535
Huber-White-Hinkley (HC1) heteroskedasticity consistent standard errors
and covariance
Variable
Coefficient
Std. Error
t-Statistic
Prob.
3316.786
104.6528
66.44096
27.51704
8.680020
24.48548
-200.6533
-1.260510
-200.5243
5.641921
MOM AGE_CNTRD^2 -0.514637
9.618949
M_WTGAIN_CNTRD^2 -0.027913
8.106849
4.231952
5.699306
7.816031
6.494597
7.229266
11.36470
0.812260
6.468994
409.1338
24.72921
11.65773
3.520590
1.336498
3.386994
-17.65585
-1.551855
-30.99775
12.21205
0.0000
0.0000
0.0000
0.0004
0.1814
0.0007
0.0000
0.1207
0.0000
0.0000
BOY
MARRIED
ED_COL
ED_HS
ED SMCOL
SMOKE
CIGSPER
BLACK
MOM_AGE_CNTRD
0.461996
0.064432
0.198337
-7.987346
48.49802
0.0000
0.0000
0.0013
M_WTGAIN CNTRD
0.008685
-3.214042
R-squared
Adjusted R-squared
S.É. of regression
Sum squared resid
Log likelihood
F-statistic
0.113853 Mean dependent var
0.113691
541.4975 Akaike info criterion
1.92E+10 Schwarz criterion
-505483.1
3347.636
575.1800
15.42675
15.42856
15.42731
1.957147
623.6461
S.D. dependent var
Hannan-Quinn criter.
Prob(F-statistic)
Prob(Wald F-statistic)
701.5267 Durbin-Watson stat
0.000000
0.000000
Wald F-statistic](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57c087bd-486c-446a-a92d-e441b24bd344%2F7ca63a31-de0c-4d9a-80a0-2a6386b296cd%2Fcladfvr_processed.png&w=3840&q=75)
Transcribed Image Text:Description of variables: Weight is birth weight in grams, Boy is equal
to 1 if the baby is a boy, 0 if it is a girl, Married is 1 if the mother is married,
O if unmarried.
Education of the mother is divided into four categories: less than high
school, high school (dummy variable Ed_Hs), some college (dummy variable
Ed_SmCol), and college graduate (dummy variable Ed_Col). The omitted
category is "less than high school," so coefficients must be interpreted rela-
tive to this category.
Smoke is equal to 1 if the mother smokes, 0 if she does not, CigsPer is
cigarettes smoked per day, Black is 1 if the mother is black, 0 otherwise.
Mom_Age is age in years, M_WtGain is mother's weight gain in pounds.
The last two variables are entered into the regression as centered around their
mean, Mom_Age_Cntrd and M_WtGain_Cntrd, i.e. Mom_Age_Cntrd
is the variable Mom_Age minus the average age of Mom_Age, and simi-
larly for M_WtGain_Cntrd. The average age of mothers is 27.2 years and
the average weight gain is 30.8 ponds.
Dependent Variable: WEIGHT
Method: Least Squares
Date: 03/11/22 Time: 15:19
Sample: 1 65535
Included observations: 65535
Huber-White-Hinkley (HC1) heteroskedasticity consistent standard errors
and covariance
Variable
Coefficient
Std. Error
t-Statistic
Prob.
3316.786
104.6528
66.44096
27.51704
8.680020
24.48548
-200.6533
-1.260510
-200.5243
5.641921
MOM AGE_CNTRD^2 -0.514637
9.618949
M_WTGAIN_CNTRD^2 -0.027913
8.106849
4.231952
5.699306
7.816031
6.494597
7.229266
11.36470
0.812260
6.468994
409.1338
24.72921
11.65773
3.520590
1.336498
3.386994
-17.65585
-1.551855
-30.99775
12.21205
0.0000
0.0000
0.0000
0.0004
0.1814
0.0007
0.0000
0.1207
0.0000
0.0000
BOY
MARRIED
ED_COL
ED_HS
ED SMCOL
SMOKE
CIGSPER
BLACK
MOM_AGE_CNTRD
0.461996
0.064432
0.198337
-7.987346
48.49802
0.0000
0.0000
0.0013
M_WTGAIN CNTRD
0.008685
-3.214042
R-squared
Adjusted R-squared
S.É. of regression
Sum squared resid
Log likelihood
F-statistic
0.113853 Mean dependent var
0.113691
541.4975 Akaike info criterion
1.92E+10 Schwarz criterion
-505483.1
3347.636
575.1800
15.42675
15.42856
15.42731
1.957147
623.6461
S.D. dependent var
Hannan-Quinn criter.
Prob(F-statistic)
Prob(Wald F-statistic)
701.5267 Durbin-Watson stat
0.000000
0.000000
Wald F-statistic
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman