PART 1:

Note: These are few formulas which might come handy in case you are not aware of log operations. Log(A) - Log(B) = Log(A/B) Log(A) + Log(B) = Log (AB) Exp(A+B) = Exp(A) * Exp(B) Log(exp(A)) = A Log(A) = B A = Exp(B)Call: 1m(formula = log(Y) ~ X1 + log(X2), data = data) Residuals : Min 1Q Median 3Q Max -0. 012829 -0. 009533 -0. 008393 -0. 001037 0. 079599 Coefficients : Estimate Std. Error t value Pr(>|t/) (Intercept) 0. 459922 0. 244744 1. 879 0. 0707 X1 0. 754774 0. 001156 652. 982