estimated the following multiple regression model using yearly data spanning the period 2001 toWhere 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 processedA researcher interested in explaining the level of foreign reserves for the country of Barbados2016:FR=a+B0IL+YEXP+8FDIusing MINITAB and the following is an extract of the output oblamed.PredictorCoefStDevp-valuet-ratio5491.38 2508.81 2.1888Constant0.0491OIL85.3918.464.6260.0006EXP-377.08 112.190.0057FDI-396.99 160.66-2.471S = 2.45R-sq = 96.3%R-sq (adj) = 95.3%Analysis of VarianceSourceMSFDFRegression31991.31663.77??Error1277.46.45Total15a) 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.

A researcher interested in explaining the level of foreign reserves for the country of Ba estimated the following multiple regression model using yearly data spanning the period 2001 to 2016: Where FR = yearly foreign reserves ($000's), OIL = annual oil prices, EXP = yearly total exports FR=a+BOIL+YEXP+&FDI ($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 F Source DF MS Regression 663.77 ?? 3 1991.31 Error 12 77.4 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 '??’

A researcher interested in explaining the level of foreign reserves for the country of Ba estimated the following multiple regression model using yearly data spanning the period 2001 to 2016: Where FR = yearly foreign reserves ($000's), OIL = annual oil prices, EXP = yearly total exports FR=a+BOIL+YEXP+&FDI ($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 F Source DF MS Regression 663.77 ?? 3 1991.31 Error 12 77.4 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 '??’

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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