Year 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 Merchandise trade (% of GDP) 150.28 149.12 144.60 146.56 157.91 162.57 62.06 63.64 69.65 60.78 66.33 78.56 84.00 77.98 71.66 61.75 64.45 64.89 79.10 108.37 Real interest rates (9) 10.05 16.63 13.36 9.81 7.27 6.42 -58.33 5.91 4.44 13.53 9.78 11.91 8.83 14.11 15.26 9.54 11.99 10.67 16.36 7.30 GDP growth (annual 96) -1.36 2.28 1.13 -0.63 1.56 -1.95 5.13 7.19 1.61 3.88 3.78 5.34 5.38 3.65 1.69 0.69 3.81 3.73 4.44 5.35 Official exchange rate (per USS) 182.43 187.32 190.67 193.88 198.31 199.88 200.19 202.35 203.63 203.95 203.64 204.02 204.36 205.39 206.45 206.50 206.50 206.50 207.72 208.50 (b) Using R-Studio, estimate a regression equation to determine the effect of the real interest rates, the exchange rate and the GDP growth rate on the Merchandise trade (% of GDP). (All codes and regression output should be provided). NOTE: R-Studio should only be used for obtaining the regression output and the regression equation. Write down the regression equation. (ii) Interpret the coefficients and determine which of the individual coefficients in the regression model are statistically significant. In responding, construct and test any appropriate hypothesis. (iii) Interpret the coefficient of determination. (iv)Using the 5% level of significance, determine and discuss whether the overall regression equation is statistically significant. In responding, construct and test any appropriate hypothesis. (v) Determine and interpret the confidence interval for the independent variable(s).

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Year
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
Merchandise
trade (% of GDP)
150.28
149.12
144.60
146.56
157.91
162.57
62.06
63.64
69.65
60.78
66.33
78.56
84.00
77.98
71.66
61.75
64.45
64.89
79.10
108.37
Real interest
rates (%)
10.05
16.63
13.36
9.81
7.27
6.42
-58.33
5.91
4.44
13.53
9.78
11.91
8.83
14.11
15.26
9.54
11.99
10.67
16.36
7.30
GDP growth
(annual %)
-1.36
2.28
1.13
-0.63
1.56
-1.95
5.13
7.19
1.61
3.88
3.78
5.34
5.38
3.65
1.69
0.69
3.81
3.73
4.44
5.35
Official exchange
rate (per USS)
182.43
187.32
190.67
193.88
198.31
199.88
200.19
202.35
203.63
203.95
203.64
204.02
204.36
205.39
206.45
206.50
206.50
206.50
207.72
208.50
(b) Using R-Studio, estimate a regression equation to determine the effect of the real interest
rates, the exchange rate and the GDP growth rate on the Merchandise trade (% of GDP). (All
codes and regression output should be provided). NOTE: R-Studio should only be used for
obtaining the regression output and the regression equation.
(1) Write down the regression equation.
(11) Interpret the coefficients and determine which of the individual coefficients in the
regression model are statistically significant. In responding, construct and test any
appropriate hypothesis.
(iii) Interpret the coefficient of determination.
(iv)Using the 5% level of significance, determine and discuss whether the overall regression
equation is statistically significant. In responding, construct and test any appropriate
hypothesis.
(v) Determine and interpret the confidence interval for the independent variable(s).
Transcribed Image Text:Year 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 Merchandise trade (% of GDP) 150.28 149.12 144.60 146.56 157.91 162.57 62.06 63.64 69.65 60.78 66.33 78.56 84.00 77.98 71.66 61.75 64.45 64.89 79.10 108.37 Real interest rates (%) 10.05 16.63 13.36 9.81 7.27 6.42 -58.33 5.91 4.44 13.53 9.78 11.91 8.83 14.11 15.26 9.54 11.99 10.67 16.36 7.30 GDP growth (annual %) -1.36 2.28 1.13 -0.63 1.56 -1.95 5.13 7.19 1.61 3.88 3.78 5.34 5.38 3.65 1.69 0.69 3.81 3.73 4.44 5.35 Official exchange rate (per USS) 182.43 187.32 190.67 193.88 198.31 199.88 200.19 202.35 203.63 203.95 203.64 204.02 204.36 205.39 206.45 206.50 206.50 206.50 207.72 208.50 (b) Using R-Studio, estimate a regression equation to determine the effect of the real interest rates, the exchange rate and the GDP growth rate on the Merchandise trade (% of GDP). (All codes and regression output should be provided). NOTE: R-Studio should only be used for obtaining the regression output and the regression equation. (1) Write down the regression equation. (11) Interpret the coefficients and determine which of the individual coefficients in the regression model are statistically significant. In responding, construct and test any appropriate hypothesis. (iii) Interpret the coefficient of determination. (iv)Using the 5% level of significance, determine and discuss whether the overall regression equation is statistically significant. In responding, construct and test any appropriate hypothesis. (v) Determine and interpret the confidence interval for the independent variable(s).
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