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 W eight 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. Refe

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
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 W eight 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_W tGain, are entered in the
regression in terms of the deviations from their mean.

 

(a) Interpret the estimated intercept

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 pounds.
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
8.106849
409.1338
0.0000
BOY
4.231952
24.72921
0.0000
MARRIED
66.44096
5.699306
11.65773
0.0000
ED_COL
ED_HS
ED_SMCOL
SMOKE
27.51704
7.816031
3.520590
0.0004
8.680020
6.494597
1.336498
0.1814
24.48548
-200.6533
-1.260510
-200.5243
7.229266
3.386994
0.0007
11.36470
-17.65585
0.0000
CIGSPER
0.812260
-1.551855
0.1207
BLACK
6.468994
-30.99775
0.0000
5.641921
0.461996
12.21205
0.0000
MOM_AGE_CNTRD
MOM_AGE_CNTRD^2 -0.514637
M_WTGAIN_CNTRD
M_WTGAIN_CNTRD^2 -0.027913
0.064432
-7.987346
0.0000
9.618949
0.198337
48.49802
0.0000
0.008685
-3.214042
0.0013
0.113853 Mean dependent var
0.113691 S.D. dependent var
541.4975 Akaike info criterion
R-squared
Adjusted R-squared
S.E. of regression
Sum squared resid
Log likelihood
F-statistic
Prob(F-statistic)
Prob(Wald F-statistic)
3347.636
575.1800
15.42675
1.92E+10 Schwarz criterion
15.42856
-505483.1 Hannan-Quinn criter.
15.42731
701.5267 Durbin-Watson stat
1.957147
0.000000 Wald F-statistic
623.6461
0.000000
Transcribed Image Text: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 pounds. 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 8.106849 409.1338 0.0000 BOY 4.231952 24.72921 0.0000 MARRIED 66.44096 5.699306 11.65773 0.0000 ED_COL ED_HS ED_SMCOL SMOKE 27.51704 7.816031 3.520590 0.0004 8.680020 6.494597 1.336498 0.1814 24.48548 -200.6533 -1.260510 -200.5243 7.229266 3.386994 0.0007 11.36470 -17.65585 0.0000 CIGSPER 0.812260 -1.551855 0.1207 BLACK 6.468994 -30.99775 0.0000 5.641921 0.461996 12.21205 0.0000 MOM_AGE_CNTRD MOM_AGE_CNTRD^2 -0.514637 M_WTGAIN_CNTRD M_WTGAIN_CNTRD^2 -0.027913 0.064432 -7.987346 0.0000 9.618949 0.198337 48.49802 0.0000 0.008685 -3.214042 0.0013 0.113853 Mean dependent var 0.113691 S.D. dependent var 541.4975 Akaike info criterion R-squared Adjusted R-squared S.E. of regression Sum squared resid Log likelihood F-statistic Prob(F-statistic) Prob(Wald F-statistic) 3347.636 575.1800 15.42675 1.92E+10 Schwarz criterion 15.42856 -505483.1 Hannan-Quinn criter. 15.42731 701.5267 Durbin-Watson stat 1.957147 0.000000 Wald F-statistic 623.6461 0.000000
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON