To decide whether Yi = β0 + β1X + ui or ln(Yi)= β0 + β1X + ui fits the data better,you cannot consult the regression R2 because

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The regression R2 cannot be used to compare the fit of the linear and log-linear models because the TSS (total sum of squares) are not measured in the same units between the two models. Therefore, we need to use other criteria such as the residual standard error or the Akaike Information Criterion (AIC) to compare the two models. The other options given (A, C, and D) are not the primary reasons why we cannot use the R2.

To Decide Whether Yi = β0 + β1X + Ui