3. Using a sample of 10,161 births a researcher is interested in examining the determinants of childbirth weight. She collects dat on the infant's birth weight in grams (birth_weight), the age of the mother in years (Age), household per-capita income in eurd (Income) and the child's gender (Gender, equal 1 if a male and 0 if a female). These data are used to estimate the following regression (a) Before running the regression researchers looks at the summary statistics of her variables to make sure everything seen reasonable. These summary statistics are presented below. summ birth_weight Age Income gender Obs Variable birth_weight Age Income gender Source Model Residual Total birth_weight= B₁ + B₂Age+B₂Income + B₂ Gender, + &₁ birth_weight Age Income gender _cons 10,161 3473.232 10,161 31.61953 10, 161 49448.59 10,161 .5111702 regress birth_weight Age Income gender Mean Comment on these summary statistics and what advice if any would you give to the researcher. (b) Suppose the researcher has taken your advice on board and has estimated the regression specified above. The results of th regression are provided below. Std. dev. ss Interpret these results. 593.6266 5.326293 30105.86 .4998998 df 52228133 3 17409377.7 2.8734E+09 10,157 282898.944 2.9256e+09 10,160 287955.976 Coefficient Std. err. MS Min t P>|t| 3.09 0.002 3.268242 1.057894 .0010729 .000186 116.4477 10.55624 5.77 0.000 11.03 0.000 3269.09 32.49293 100.61 0.000 0 5 2000 0 Number of obs F(3, 10157) Prob > F R-squared Adj R-squared Root MSE 4600 40 500000 1 Max 1.194562 .0007083 95.75534 3205.397 ||||||||||||||| = = 10,161 61.54 0.0000 0.0179 0.0176 531.88 [95% conf. interval] 5.341922 .0014374 137.14 3332.782
3. Using a sample of 10,161 births a researcher is interested in examining the determinants of childbirth weight. She collects dat on the infant's birth weight in grams (birth_weight), the age of the mother in years (Age), household per-capita income in eurd (Income) and the child's gender (Gender, equal 1 if a male and 0 if a female). These data are used to estimate the following regression (a) Before running the regression researchers looks at the summary statistics of her variables to make sure everything seen reasonable. These summary statistics are presented below. summ birth_weight Age Income gender Obs Variable birth_weight Age Income gender Source Model Residual Total birth_weight= B₁ + B₂Age+B₂Income + B₂ Gender, + &₁ birth_weight Age Income gender _cons 10,161 3473.232 10,161 31.61953 10, 161 49448.59 10,161 .5111702 regress birth_weight Age Income gender Mean Comment on these summary statistics and what advice if any would you give to the researcher. (b) Suppose the researcher has taken your advice on board and has estimated the regression specified above. The results of th regression are provided below. Std. dev. ss Interpret these results. 593.6266 5.326293 30105.86 .4998998 df 52228133 3 17409377.7 2.8734E+09 10,157 282898.944 2.9256e+09 10,160 287955.976 Coefficient Std. err. MS Min t P>|t| 3.09 0.002 3.268242 1.057894 .0010729 .000186 116.4477 10.55624 5.77 0.000 11.03 0.000 3269.09 32.49293 100.61 0.000 0 5 2000 0 Number of obs F(3, 10157) Prob > F R-squared Adj R-squared Root MSE 4600 40 500000 1 Max 1.194562 .0007083 95.75534 3205.397 ||||||||||||||| = = 10,161 61.54 0.0000 0.0179 0.0176 531.88 [95% conf. interval] 5.341922 .0014374 137.14 3332.782
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
![3.
Using a sample of 10,161 births a researcher is interested in examining the determinants of childbirth weight. She collects data
on the infant's birth weight in grams (birth_weight), the age of the mother in years (Age), household per-capita income in euro
(Income) and the child's gender (Gender, equal 1 if a male and 0 if a female). These data are used to estimate the following
regression
(a) Before running the regression researchers looks at the summary statistics of her variables to make sure everything seems
reasonable. These summary statistics are presented below.
summ birth_weight Age Income gender
Variable
birth_weight
Age
Income
gender
Source
Model
Residual
Total
birth_weight= B₁ + B₂Age+B₂Income + B₁ Gender, + &i
birth_weight
Age
Income
gender
_cons
Obs
10,161 3473.232
10,161 31.61953
10,161 49448.59
10,161 .5111702
regress birth_weight Age Income gender
Mean
Comment on these summary statistics and what advice if any would you give to the researcher.
(b) Suppose the researcher has taken your advice on board and has estimated the regression specified above. The results of this
regression are provided below.
SS
2.9256e+09
Interpret these results.
Coefficient
Std. dev.
df
593.6266
5.326293
30105.86
.4998998
52228133
17409377.7
3
2.8734e+09 10,157 282898.944
10,160 287955.976
Std. err.
MS
t P>|t|
3.268242 1.057894
.0010729 .000186
116.4477 10.55624
3.09 0.002
5.77 0.000
11.03 0.000
3269.09 32.49293 100.61 0.000
Min
0
5
2000
0
Max
4600
40
500000
1
Number of obs
F(3, 10157)
Prob > F
R-squared
Adj R-squared
Root MSE
|||||||||||||
=
=
=
=
=
10,161
61.54
0.0000
0.0179
0.0176
531.88
[95% conf. interval]
1.194562 5.341922
.0007083
.0014374
95.75534
137.14
3205.397
3332.782](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d9175c6-6953-41a8-aa81-1859242825f5%2F7d9dcd1c-3b5e-4882-811b-c7a64cd2fc99%2Fca0e91_processed.png&w=3840&q=75)
Transcribed Image Text:3.
Using a sample of 10,161 births a researcher is interested in examining the determinants of childbirth weight. She collects data
on the infant's birth weight in grams (birth_weight), the age of the mother in years (Age), household per-capita income in euro
(Income) and the child's gender (Gender, equal 1 if a male and 0 if a female). These data are used to estimate the following
regression
(a) Before running the regression researchers looks at the summary statistics of her variables to make sure everything seems
reasonable. These summary statistics are presented below.
summ birth_weight Age Income gender
Variable
birth_weight
Age
Income
gender
Source
Model
Residual
Total
birth_weight= B₁ + B₂Age+B₂Income + B₁ Gender, + &i
birth_weight
Age
Income
gender
_cons
Obs
10,161 3473.232
10,161 31.61953
10,161 49448.59
10,161 .5111702
regress birth_weight Age Income gender
Mean
Comment on these summary statistics and what advice if any would you give to the researcher.
(b) Suppose the researcher has taken your advice on board and has estimated the regression specified above. The results of this
regression are provided below.
SS
2.9256e+09
Interpret these results.
Coefficient
Std. dev.
df
593.6266
5.326293
30105.86
.4998998
52228133
17409377.7
3
2.8734e+09 10,157 282898.944
10,160 287955.976
Std. err.
MS
t P>|t|
3.268242 1.057894
.0010729 .000186
116.4477 10.55624
3.09 0.002
5.77 0.000
11.03 0.000
3269.09 32.49293 100.61 0.000
Min
0
5
2000
0
Max
4600
40
500000
1
Number of obs
F(3, 10157)
Prob > F
R-squared
Adj R-squared
Root MSE
|||||||||||||
=
=
=
=
=
10,161
61.54
0.0000
0.0179
0.0176
531.88
[95% conf. interval]
1.194562 5.341922
.0007083
.0014374
95.75534
137.14
3205.397
3332.782
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