A researcher 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:??=?+????+????+????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 processedusing MINITAB and the following is an extract of the output obtained:
Predictor Coef StDev t-ratio p-valueConstant 5491.38 2508.81 2.1888 0.0491OIL 85.39 18.46 4.626 0.0006EXP -377.08 112.19 * 0.0057FDI -396.99 160.66 -2.471 **
S = 2.45 R-sq = 96.3% R-sq(adj) = 95.3%
Analysis of VarianceSource DF SS MS F pRegression 3 1991.31 663.77 ? ??Error 12 77.4 6.45Total 15d) 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.
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