Q5. What will be the value of GDP per capita in 2016, if the future value of Domestic Credit (% GDP) = 178.37; Total Investment (% GDP) = 28.42; Tax revenue (% GDP) = 22.17; Net Export (% GDP) = -1.32. (Note: alpha 1%= 2.57; alpha 5%= 1.96; alpha 10%= 1.645) A) 1.867 B) 0.838 C) 0.656 D) 1.768 Table 1: Regression Estimation Regression Statistics Multiple R R Square Adjusted R Square 0.37 0.49 0.47 Standard Error 0.09 Observations 20 ANOVA df SS MS F Significance F Regression 4 1.14 0.28 39.21 0.09 Residual 1 0.01 0.01 Total 1.15 Coefficients Standard Error t Stat P-value -2.71 0.03 Intercept Domestic Credit (% GDP) -5.47 0.71 0.05 0.02 4.73 0.02 Total Investment (% GDP) 0.35 0.22 3.29 0.04 Tax revenue (% GDP) -0.52 0.15 -2.10 0.02 Net Export (% GDP) 0.78 0.07 0.64 0.25

Q5. What will be the value of GDP per capita in 2016, if the future value of Domestic Credit (% GDP) = 178.37; Total Investment (% GDP) = 28.42; Tax revenue (% GDP) = 22.17; Net Export (% GDP) = -1.32. (Note: alpha 1%= 2.57; alpha 5%= 1.96; alpha 10%= 1.645) A) 1.867 B) 0.838 C) 0.656 D) 1.768 Table 1: Regression Estimation Regression Statistics Multiple R R Square Adjusted R Square 0.37 0.49 0.47 Standard Error 0.09 Observations 20 ANOVA df SS MS F Significance F Regression 4 1.14 0.28 39.21 0.09 Residual 1 0.01 0.01 Total 1.15 Coefficients Standard Error t Stat P-value -2.71 0.03 Intercept Domestic Credit (% GDP) -5.47 0.71 0.05 0.02 4.73 0.02 Total Investment (% GDP) 0.35 0.22 3.29 0.04 Tax revenue (% GDP) -0.52 0.15 -2.10 0.02 Net Export (% GDP) 0.78 0.07 0.64 0.25

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 35EQ

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