a) Below is an output from Gretl. Model 1: OLS, using observations 1-30 Dependen
ID: 3057998 • Letter: A
Question
a) Below is an output from Gretl.
Model 1: OLS, using observations 1-30
Dependent variable: food_exp
Coefficient
Std. Error
t-ratio
p-value
const
104.03
39.2721
2.6490
0.0131
**
income
8.82544
2.19232
4.0256
0.0004
***
Mean dependent var
254.0743
S.D. dependent var
83.66350
Sum squared resid
128573.4
S.E. of regression
67.76361
R-squared
0.366596
Adjusted R-squared
0.343974
F(1, 28)
16.20556
P-value(F)
0.000392
Log-likelihood
168.0140
Akaike criterion
340.0280
Schwarz criterion
342.8304
Hannan-Quinn
340.9246
b) You want to test the following hypothesis: H0: b2 = 0, H1: b2 0. Given a level of significance of 1%, do you reject or accept the null?
c) You want to test the following hypothesis: H0: b2 = 5, H1: b2 > 5. Given a level of significance of 1%, do you reject or accept the null?
d) You want to test the following hypothesis: H0: b2 = 12, H1: b2 < 12. Given a level of significance of 5%, do you reject or accept the null?
please simple answers
Coefficient
Std. Error
t-ratio
p-value
const
104.03
39.2721
2.6490
0.0131
**
income
8.82544
2.19232
4.0256
0.0004
***
Explanation / Answer
a) Below is an output from Gretl.
Model 1: OLS, using observations 1-30
Dependent variable: food_exp
Coefficient
Std. Error
t-ratio
p-value
const
104.03
39.2721
2.6490
0.0131
**
income
8.82544
2.19232
4.0256
0.0004
***
Mean dependent var
254.0743
S.D. dependent var
83.66350
Sum squared resid
128573.4
S.E. of regression
67.76361
R-squared
0.366596
Adjusted R-squared
0.343974
F(1, 28)
16.20556
P-value(F)
0.000392
Log-likelihood
168.0140
Akaike criterion
340.0280
Schwarz criterion
342.8304
Hannan-Quinn
340.9246
b) You want to test the following hypothesis: H0: b2 = 0, H1: b2 0. Given a level of significance of 1%, do you reject or accept the null?
c) You want to test the following hypothesis: H0: b2 = 5, H1: b2 > 5. Given a level of significance of 1%, do you reject or accept the null?
d) You want to test the following hypothesis: H0: b2 = 12, H1: b2 < 12. Given a level of significance of 5%, do you reject or accept the null?
please simple answers
Coefficient
Std. Error
t-ratio
p-value
const
104.03
39.2721
2.6490
0.0131
**
income
8.82544
2.19232
4.0256
0.0004
***
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