Question 4A rescarcher interested in explaining the level of foreign reserves for the country of Barbadosestimated the following multiple regression model using yearly data spanning the period 2001 to2016:FR=a+BOIL+YEXP+8FDIWhere FR = yearly foreign reserves ($000's), OIL = annual oil prices, EXP = ycarly total exports($000's) and FDI = annual foreign direct investment ($000's). The sample of data was processedusing MINITAB and the following is an extract of the output obtained:PredictorCoefStDevt-ratio p-valueConstant5491.38 2508.812.18880.0491OIL85.3918.464.6260.0006EXP-377.08 112.190.0057FDI-396.99 160.66-2.471s = 2.45R-sq = 96.3%R-sq (adj) = 95.3%Analysis of VarianceSourceDFssMSRegression31991.31663.77??Error124 . רר6.45Total15a) What is dependent and independent variables?b) Fully write out the regression equationc) Fill in the missing values *', ***', '?'and ??"d) Hence test whether B 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.

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A rescarcher 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 t-ratio p-value StDev 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 S MS P Regression 3 1991.31 663.77 ? ?? Error 12 4.רר 6.45 Total 15 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 B 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.

A rescarcher 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 t-ratio p-value StDev 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 S MS P Regression 3 1991.31 663.77 ? ?? Error 12 4.רר 6.45 Total 15 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 B 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.

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