Linear regression question – You have a data set which contains information about the percentage of retired men who are between the ages of 16 and 65. The screen shot below tells you information about the variables as well as their summary statistics. The second screen shot includes information about an ordinary least squares model that has been estimated. a. Which variables are statistically significant and how do you know? Explain the hypothesis you are testing for each variable. b. Interpret the coefficient estimate of all statistically significant variables.
Linear regression question – You have a data set which contains information about the percentage of retired men who are between the ages of 16 and 65. The screen shot below tells you information about the variables as well as their summary statistics. The second screen shot includes information about an ordinary least squares model that has been estimated. a. Which variables are statistically significant and how do you know? Explain the hypothesis you are testing for each variable. b. Interpret the coefficient estimate of all statistically significant variables.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Linear regression question – You have a data set which contains information about the percentage of
retired men who are between the ages of 16 and 65. The screen shot below tells you information about
the variables as well as their summary statistics. The second screen shot includes information about an
ordinary least squares model that has been estimated.
a. Which variables are statistically significant and how do you know? Explain the hypothesis you are
testing for each variable.
b. Interpret the coefficient estimate of all statistically significant variables.
Transcribed Image Text:1
234567
retrd
hith
mssec
mpubas
unemp
dep
race
const
hlth
mssec
mpubas
unemp
dep
race
gretl: summary statistics
TEX
retrd
hith
mssec
mpubas
unemp
dep
race
% of retired men who are between the ages of 16 and 65
% of people 16-64 yrs unable to work due to disability
Mean social security income in S
Mean public assistance income in S
Unemployment rate in percent
% of households that are married couples with children below 18
% of men who are nonwhite
Model 1: OLS, using observations 1-44
Dependent variable: retrd
coefficient
-3.92967
1.62738
-0.000548276
0.000456770
0.548535
0.152641
0.0767033
Mean dependent var
Sum squared resid
R-squared
F (6, 37)
Log-likelihood
Mean
11.23
4.184
Schwarz criterion
3985
2362
6.323
31.81
14.77
Median
11.30
4.000
4010
2326
6.250
32.55
9.600
S.D.
3.698
1.492
247.0
314.8
1.466
4.327
14.84
std. error t-ratio p-value
9.20228
-0.4270
0.300222
5.421
0.00208073 -0.2635
0.00165406
0.2762
2.195
1.576
2.263
0.249863
0.0968644
0.0338986
Min
5.400
1.600
3449
1854
3.600
12.60
0.8000
11.22955
S.D. dependent var
175.0880
S.E. of regression
0.702207 Adjusted R-squared
14.54121
P-value (F)
-92.81748
Akaike criterion
212.1243 Hannan-Quinn
0.6718
3.82e-06
0.7936
0.7840
0.0345
0.1236
0.0296
3.697742
2.175341
0.653916
1.91e-08
199.6350
204.2666
Excluding the constant, p-value was highest for variable 3 (mssec)
DX
Max
18.70
7.600
4399
3079
9.500
42.60
72.80
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