A researcher interested in explaining the level of foreign reserves for the country of Barbados estimated the following multiple regression model using yearly data spanning the period 2001 to 2016:...

A researcher interested in explaining the level of foreign reserves for the country of Barbados
estimated the following multiple regression model using yearly data spanning the period 2001 to
2016:
??=?+????+????+???I
Where FR = yearly foreign reserves ($000’s), OIL = annual oil prices, EXP = yearly total exports
($000’s) and FDI = annual foreign direct investment ($000’s). The sample of data was processed
using MINITAB and the following is an extract of the output obtained:
Predictor Coef StDev t-ratio p-value
Constant 5491.38 2508.81 2.1888 0.0491
OIL 85.39 18.46 4.626 0.0006
EXP -377.08 112.19 * 0.0057
FDI -396.99 160.66 -2.471 **
S = 2.45 R-sq = 96.3% R-sq(adj) = 95.3%
Analysis of Variance
Source DF SS MS F p
Regression 3 1991.31 663.77 ? ??
Error 12 77.4 6.45
a) What is dependent and independent variables?
b) Fully write out the regression equation
c) Fill in the missing values ‘*’, ‘**’, ‘?’and ‘??’
d) Hence test whether ? is significant. Give reasons for your answer.
e) Perform the F Test making sure to state the null and alternative hypothesis.
f) Given an interpretation of the term “R-sq” and comment on its value