The following model was specified to investigate the relationship between mineral exploitation and energy consumption in a small state over 1970-2006: ln(mining)t= β0 + β1ln⁡(GDP_m)t + β2ln(exports)t + β3ln⁡(energy)t + et where mining = the output of the mining and quarrying industry (constant 2000 US dollars); GDP_m = GDP less mining and quarrying industrial output (constant 2000 US dollars); exports = exports (constant 2000 US dollars); and energy = energy consumption (million kilowatts hours). OLS estimation of the preceding equation yields ln(mining)t=-5.76+0.81ln⁡(GDP_m)t+0.21ln(exports)t-0.09ln⁡(energy)t t-stat = (-3.82)   (12.76)                       (3.53)                     (-2.49) p-value = (0.001)   (0.000)                      (0.001)                   (0.017)        R2=0.8905  n = 37 Durbin-Watson stat = 0.98   d)     Interpret the coefficient on ln(energy).  e)      Are coefficients’ signs on explanatory variables within your expectation? Answer this question with a brief explanation.  -           f)      The researcher suspect that export and energy are jointly insignificant. Describe step-by-step procedure the researcher should carry out to determine if the variables are jointly insignificant.

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The following model was specified to investigate the relationship between mineral exploitation and energy consumption in a small state over 1970-2006:

ln(mining)t= β0 + β1ln⁡(GDP_m)t + β2ln(exports)t + β3ln⁡(energy)t + et

where mining = the output of the mining and quarrying industry (constant 2000 US dollars);

GDP_m = GDP less mining and quarrying industrial output (constant 2000 US dollars);

exports = exports (constant 2000 US dollars); and

energy = energy consumption (million kilowatts hours).

OLS estimation of the preceding equation yields

ln(mining)t=-5.76+0.81ln⁡(GDP_m)t+0.21ln(exports)t-0.09ln⁡(energy)t

t-stat = (-3.82)   (12.76)                       (3.53)                     (-2.49)

p-value = (0.001)   (0.000)                      (0.001)                   (0.017)

       R2=0.8905  n = 37 Durbin-Watson stat = 0.98

 

d)     Interpret the coefficient on ln(energy). 

e)      Are coefficients’ signs on explanatory variables within your expectation? Answer this question with a brief explanation. 

-          

f)      The researcher suspect that export and energy are jointly insignificant. Describe step-by-step procedure the researcher should carry out to determine if the variables are jointly insignificant.  

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