Question: I have been asked to perform two linear regression as it follows. The 1st one: the dependent variables from a set of values A and

I have been asked to perform two linear regression as it follows. The 1st one: the dependent variables from a set of values A and the independent variables from the a set of values B. For the second one: the same dependent variables from A but the independent variables from B are natural logarithms, in this case. Why do the results of the two regressions differ? (besides the fact that one has logarithms an the other doesn't)

I have been asked to perform two linear regression as it follows.The 1st one: the dependent variables from a set of values A

SUMMARY OUTPUT Regression Statistics Multiple R 0,725859767 R Square 0,526872401 Adjusted R Square 0,523800144 Standard Error 0,103930441 Observations 156 ANOVA df SS MS F Significance F Regression 1 1,8523943 1,8523943 171,4935886 8,26959E-27 Residual 154 1,6634366 0,0108015 Total 155 3,5158309 Coefficients andard Em t Stat P-value Lower 95% Upper 95% ower 95,0%Upper 95,0% Intercept 0,489119963 0,0103102 47,440577 8,3241E-94 0,468752364 0,5094876 0,4687524 0,5094876 GDP per capita, PPP 5,38299E-06 4,111E-07 13,095556 8,26959E-27 4,57096E-06 6,195E-06 4,571E-06 6,195E-06SUMMARY OUTPUT LOG Regression Statistics Multiple R 0,878552 R Square 0,771853 Adjusted F 0,770372 Standard E 0,072171 Observatic 156 ANOVA df SS MS F ignificance F Regression 1 2,713706 2,713706 521,0045 2,79E-51 Residual 154 0,802125 0,005209 Total 155 3,515831 Coefficientsandard Er t Stat P-value Lower 95% Upper 95% ower 95,09/pper 95,0% Intercept -0,19509 0,033963 -5,744118 4,79E-08 -0,262184 -0,127995 -0,262184 -0,127995 log GDP 0,088432 0,003874 22,82552 2,79E-51 0,080778 0,096085 0,080778 0,096085

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