Question 4 [17 marks] 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: FR=a+BOIL+yEXP+8FDI Where FR = yearly foreign reserves ($000's), OIL = annual oil prices, EXP = yearly total exports ($000's) and FDI = annual foreign direct investment ($000's). The sample of data was processed using MINITAB and the following is an extract of the output obtained: Predictor Coef StDev t-ratio p-value Constant 5491. 38 2508. 81 2. 1888 0. 0491 OIL 85. 39 18 . 46 4. 626 0. 0006 EXP -377.08 112.19 0. 0057 FDI -396.99 160 .66 -2. 471 S = 2.45 R-sq = 96.38 R-sq (adj ) = 95.3$ Analysis of Variance Source DF SS MS P Regression 3 1991 .31 663. 77 ?? Error 12 77 . 4 6. 45 Total 15 a) What is dependent and independent variables? [2] b) Fully write out the regression equation [1] c) Fill in the missing values * *, '***, '?'and "??' [4] d) Hence test whether B is significant. Give reasons for your answer. CAL e) Perform the F Test making sure to state the null and alternative hypothesis. [4] f) Given an interpretation of the term "R-sq" and comment on its value. [2]