. A student has obtained survey data on households in the United Republic of Tanzania (URT) which includes information about the households’ monthly
income and their monthly expenditure on food eaten out; both variables in
US$. Using STATA he has run a simple linear regression with monthly
expenditure on food eaten out as the dependent variable, and obtained the
following results:
Regression Results
df SS MS
F-Stat
R Square
28.96
0.06
Regression 1 1290502.447 1290502 Adjusted R
Square
0.05
Residual 498 22170130.35 44518.33 Standard
Error
210.99
Total 499 23460632.8 Observation 500
Variable Coef. Std. Err.
t -Stat
p  t
[95% Conf. Interval]
Constant 6.341 19.483 0.325 0.744 31.938 44.622
X Variable 0.012 0.002 5.384 0.000 0.008 0.017
The student asks you to help him interpret these results. Provide a report for him
discussing these results, making sure that it includes an explanation of each of
the following terms:
(a) Coefficient estimates
(b) t-Statistic
(c) P-value
(d) Degrees of freedom
(e) R squared
(f) Standard Error
(g) 95% confidence interval