d) Identify which variables are negatively related with the defence budget outlay. How can you identify? e) Specify and interpret the value of R² for the regression. f) Test at 5% significance level whether the model has any explanatory power by using R².

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In order to explain the U.S. defense budget, the following variables are considered. Data from
1962-1981 is collected.
Variable
Definition
Y
Defense budget-outlay for year t, $ billions
X2
GNP for year t, $ billions
X3
U.S. military sales/assistance in year t, $ billions
X4
Aerospace industry sales, $ billions
Dependent Variable: Y
Method: Least Squares
Date: 11/22/21 Time: 11:20
Sample: 1962 1981
Included observations: 20
Variable
Coefficient
Std. Error
t-Statistic
Prob.
X2
0.016703
0.007017
2.380261
0.0301
X3
-0.696174
0.453978
-1.533497
0.1447
X4
1.467729
0.277608
5.287047
0.0001
22.77514
3.311695
6.877186
0.0000
R-squared
0.971088
Mean dependent var
83.86000
Adjusted R-squared
0.965667
S.D. dependent var
28.97771
S.E. of regression
Sum squared resid
5.369339
Akaike info criterion
6.376143
461.2769
Schwarz criterion
6.575290
Log likelihood
-59.76143
Hannan-Quinn criter.
6.415019
F-statistic
179.1337
Durbin-Watson stat
0.676777
Prob(F-statistic)
0.000000
Transcribed Image Text:In order to explain the U.S. defense budget, the following variables are considered. Data from 1962-1981 is collected. Variable Definition Y Defense budget-outlay for year t, $ billions X2 GNP for year t, $ billions X3 U.S. military sales/assistance in year t, $ billions X4 Aerospace industry sales, $ billions Dependent Variable: Y Method: Least Squares Date: 11/22/21 Time: 11:20 Sample: 1962 1981 Included observations: 20 Variable Coefficient Std. Error t-Statistic Prob. X2 0.016703 0.007017 2.380261 0.0301 X3 -0.696174 0.453978 -1.533497 0.1447 X4 1.467729 0.277608 5.287047 0.0001 22.77514 3.311695 6.877186 0.0000 R-squared 0.971088 Mean dependent var 83.86000 Adjusted R-squared 0.965667 S.D. dependent var 28.97771 S.E. of regression Sum squared resid 5.369339 Akaike info criterion 6.376143 461.2769 Schwarz criterion 6.575290 Log likelihood -59.76143 Hannan-Quinn criter. 6.415019 F-statistic 179.1337 Durbin-Watson stat 0.676777 Prob(F-statistic) 0.000000
d) Identify which variables are negatively related with the defence budget outlay. How
can you identify?
e) Specify and interpret the value of R2 for the regression.
f) Test at 5% significance level whether the model has any explanatory power by using
R².
Transcribed Image Text:d) Identify which variables are negatively related with the defence budget outlay. How can you identify? e) Specify and interpret the value of R2 for the regression. f) Test at 5% significance level whether the model has any explanatory power by using R².
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