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Assignment 1 2022 second semester

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Questions 1.1 - 1.10 require you to estimate a regression function by the OLS method Where: Y: Money growth (% of GDP) X1: Interest rate (%) Year (1) Y (2) X1 (3) (Yi-Y̅) (Xi-X)̅ (Xi-X)̅2 (Yi-Y̅)(Xi-X̅) Ŷi ei=Yi-Ŷi 1993 45.5 16.2 -18.74 2.73 7.45 -51.16 58.51 -13.01 1994 47.6 15.6 -16.64 2.13 4.54 -35.44 59.77 -12.17 1995 48.6 17.9 -15.64 4.43 19.62 -69.29 54.94 -6.34 1996 49.4 19.5 -14.84 6.03 36.36 -89.49 51.58 -2.18 1997 52.5 20 -11.74 6.53 42.64 -76.66 50.53 1.97 1998 55.1 21.8 -9.14 8.33 69.39 -76.14 46.75 8.35 1999 55.7 18 -8.54 4.53 20.52 -38.69 54.73 0.97 2000 52.7 14.5 -11.54 1.03 1.06 -11.89 62.08 -9.38 2001 57.3 13.8 -6.94 0.33 0.11 -2.29 63.55 -6.25 2002 58.3 15.8 -5.94 2.33 5.43 -13.84 59.35 -1.05 2003 60.6 15 -3.64 1.53 2.34 -5.57 61.03 -0.43 2004 61.6 11.3 -2.64 -2.17 4.71 5.73 68.8 -7.2 .6 2.76 -2.87 8.24 -7.92 70.27 -3.27 2006 73.2 11.2 8.96 -2.27 5.15 -20.34 69.01 4.19 2007 79.1 13.2 14.86 -0.27 0.07 -4.01 64.81 14.29 2008 80.8 15.1 16.56 1.63 2.66 26.99 60.82 19.98 2009 77.7 11.7 13.46 -1.77 3.13 -23.82 67.96 9.74 2010 75.8 9.8 11.56 -3.67 13.47 -42.43 71.95 3.85 2011 74.6 9 10.36 -4.47 19.98 -46.31 73.63 0.97 2012 72.9 8.8 8.66 -4.67 21.81 -40.44 74.05 -1.15 2013 71 8.5 6.76 -4.97 24.70 -33.60 74.68 -3.68 2014 70.9 9.1 6.66 -4.37 19.10 -29.10 73.42 -2.52 2015 73.4 9.4 9.16 -4.07 16.56 -37.28 72.79 0.61 2016 72.6 10.5 8.36 -2.97 8.82 -24.83 70.48 2.12 2017 72.2 10.4 7.96 -3.07 9.42 -24.44 70.69 1.51 TOTAL 1606.1 336.7 367.28 -772.26 22.33 Y̅¿ ∑Y N 1606.1 = 25 ∑ X =64.24 X̅= N 336.7 = 25 =13.47 β̂1 ¿∑(Xi− X̅)(Yi−Y̅) ∑( Xi−X´ )2 = -2.10 α= Y-̅βX̅: =64.24-(-2.10)(13.47) This study source was downloaded by from CourseH on :04:28 GMT -05:00 =92.53 The estimated equation is given by: Ŷi=α+β̂1Xi Ŷ=92.53-2.10Xi 1.1 Which of the following statements is/are correct? According to the OLS method (in the case of Yt=b0+b1Xt+εt : a) b̂0= Average (X1) ∑ x i yi b) b̂1= c) b̂1= ∑ yi2 where xi=X1i- average(X1) and yi=Yi-average (Y1). ∑ x i yi ∑ xi2 where xi=X1i- average(X1) and yi=Yi-average (Y1). [1] a and b [2] a and c [3] b [4] c [5] Not [1], [2], [3] or [4] The highlighted formula is the correct one for beta hat one (see prescribed text page 40).It also known as the slope coefficient in regression analysis. 1.2 Which of the following statements is/are correct? a) The degrees of freedom (residual) = 23- (N-K-1)=(25-1-1)=23 b) The sample average of X1 = 13 (rounded to nearest whole number)-13.47 (see calculations below table on first page) c) The sample average of Y is 64 (rounded to nearest whole number)-64.24 (see calculations below table on first page) [1] b [2] a and b [3] b and c [4] a,b and c [5] Not [1], [2], [3] or [4] 1.3 Which of the following statements is/are correct? a)∑x2=367 –(∑x2 in calculator 4901.97) b) ∑xy=1344 -(∑xy in calculator gives 20858.71) c) ∑y2=3011- Calculator gives .63 N.B even the sum of deviations in table on first page does not give any of the above. [1] a and b [2] a and c [3] c [4] a, b and c

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Assignment 1 2022
second semester
ECS3706 UNISA

DUE DATE: 13 August 2020

UNIQUE NUMBER: 650424

Econometrics assignment 2020 second semester

Questions 1.1 - 1.10 require you to estimate a regression function by the OLS method

Where:

Y: Money growth (% of GDP)

X1: Interest rate (%)

Year Y X1 (Yi-Y̅) (Xi-X)̅ (Xi-X)̅ 2 (Yi-Y̅)(Xi-X̅ ) Ŷi ei=Yi-Ŷi
(1) (2) (3)
1993 45.5 16.2 -18.74 2.73 7.45 -51.16 58.51 -13.01
1994 47.6 15.6 -16.64 2.13 4.54 -35.44 59.77 -12.17
1995 48.6 17.9 -15.64 4.43 19.62 -69.29 54.94 -6.34
1996 49.4 19.5 -14.84 6.03 36.36 -89.49 51.58 -2.18
1997 52.5 20 -11.74 6.53 42.64 -76.66 50.53 1.97
1998 55.1 21.8 -9.14 8.33 69.39 -76.14 46.75 8.35
1999 55.7 18 -8.54 4.53 20.52 -38.69 54.73 0.97
2000 52.7 14.5 -11.54 1.03 1.06 -11.89 62.08 -9.38
2001 57.3 13.8 -6.94 0.33 0.11 -2.29 63.55 -6.25
2002 58.3 15.8 -5.94 2.33 5.43 -13.84 59.35 -1.05
2003 60.6 15 -3.64 1.53 2.34 -5.57 61.03 -0.43
2004 61.6 11.3 -2.64 -2.17 4.71 5.73 68.8 -7.2
2005 67 10.6 2.76 -2.87 8.24 -7.92 70.27 -3.27
2006 73.2 11.2 8.96 -2.27 5.15 -20.34 69.01 4.19
2007 79.1 13.2 14.86 -0.27 0.07 -4.01 64.81 14.29
2008 80.8 15.1 16.56 1.63 2.66 26.99 60.82 19.98
2009 77.7 11.7 13.46 -1.77 3.13 -23.82 67.96 9.74
2010 75.8 9.8 11.56 -3.67 13.47 -42.43 71.95 3.85
2011 74.6 9 10.36 -4.47 19.98 -46.31 73.63 0.97
2012 72.9 8.8 8.66 -4.67 21.81 -40.44 74.05 -1.15
2013 71 8.5 6.76 -4.97 24.70 -33.60 74.68 -3.68
2014 70.9 9.1 6.66 -4.37 19.10 -29.10 73.42 -2.52
2015 73.4 9.4 9.16 -4.07 16.56 -37.28 72.79 0.61
2016 72.6 10.5 8.36 -2.97 8.82 -24.83 70.48 2.12
2017 72.2 10.4 7.96 -3.07 9.42 -24.44 70.69 1.51
TOTAL 1606.1 336.7 367.28 -772.26 22.33


∑Y 1606.1 ∑X 336.7
Y̅ ¿ = =64.24 X̅ = = =13.47 β̂1
N 25 N 25
¿ ∑ ( Xi− X̅ )(Yi−Y̅ )
= -2.10 α= Y-̅ βX̅:
∑( Xi− X́ )2
https://www.coursehero.com/file/75114404/Ecs3706-assignment-1-2020-second-semesterdocx/

, =64.24-(-2.10)(13.47)




This study source was downloaded by 100000850742433 from CourseHero.com on 09-12-2022 08:04:28 GMT -05:00




https://www.coursehero.com/file/75114404/Ecs3706-assignment-1-2020-second-semesterdocx/

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