You are an economic analyst examining the factors that impact South Africa’s Gross Domestic Product(GDP). You suspect that the country’s exports and unemployment rate have an impact on the GDP so you run a regression to test this claim. The estimation output is shown below. Using the t-test, test the hypothesis that the LUN and LEXP have no significant effect in GDP at the 1% level of significance and interpret these coefficients. Compute the F-statistic and comment on its significance. What does this mean about the explanatory variables of this model? Interpret the R squared measure.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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You are an economic analyst examining the factors that impact South Africa’s Gross Domestic Product(GDP). You suspect that the country’s exports and unemployment rate have an impact on the GDP so you run a regression to test this claim. The estimation output is shown below.

  1. Using the t-test, test the hypothesis that the LUN and LEXP have no significant effect in GDP at the 1% level of significance and interpret these coefficients. 
  2. Compute the F-statistic and comment on its significance. What does this mean about the explanatory variables of this model? 
  3. Interpret the R squared measure.
SUMMARY OUTPUT
Regression Statistics/
Multiple R
R²
Adjusted R²
Standard error
Observations 120
ANOVA
df
2
Regression
Residual
Total
18
19
I
Standard error
t-stat
p-value
Coefficients
0,671189155
31,38553
?
Intercept
LUN
0,606516
0,011041
?
0,091519001
0,701628791
LEXP
0,43051
?
The variables were transformed into log form so they can be interpreted as percentages.
LUN= natural log of the Unemployment rate.
LEXP = natural log of the country's exports.
LGDP = natural log of the country's GDP.
0,890170607
0,79240371
0,780870583
0,675872845
SS
31,38553
8,222474
39,608
4
MS
31,38553
0,456804
F
?
Significance
F
0.45341
E Focus
boston
Transcribed Image Text:SUMMARY OUTPUT Regression Statistics/ Multiple R R² Adjusted R² Standard error Observations 120 ANOVA df 2 Regression Residual Total 18 19 I Standard error t-stat p-value Coefficients 0,671189155 31,38553 ? Intercept LUN 0,606516 0,011041 ? 0,091519001 0,701628791 LEXP 0,43051 ? The variables were transformed into log form so they can be interpreted as percentages. LUN= natural log of the Unemployment rate. LEXP = natural log of the country's exports. LGDP = natural log of the country's GDP. 0,890170607 0,79240371 0,780870583 0,675872845 SS 31,38553 8,222474 39,608 4 MS 31,38553 0,456804 F ? Significance F 0.45341 E Focus boston
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