For the regression:
ln(gestation) = 5.28 + 0.0104×Birthweight
For the birthweight and gestation data, Minitab tells us that coefficient of birthweight(b1) = 0.01041.
minitab output:
and therefore:
exp(b1)=exp(0.010410)=1.01
The result tells us that the predicted median gestation changes by a factor of 1.01 for each one unit increase in birthweight. And for a 10-unit increase, median gestation changes by (1.01)^10 = 1.105 times.
My question:
For the reverse, does it mean that median gestation (changes) reduces by a factor of exp(0.010410)^(-1)=0.9896 for each unit decrease in birthweight? And for a 10-unit decrease, median gestation changes by exp(0.010410)^(-10)=0.9011 times?
ln(gestation) = 5.28 + 0.0104×Birthweight
For the birthweight and gestation data, Minitab tells us that coefficient of birthweight(b1) = 0.01041.
minitab output:

and therefore:
exp(b1)=exp(0.010410)=1.01
The result tells us that the predicted median gestation changes by a factor of 1.01 for each one unit increase in birthweight. And for a 10-unit increase, median gestation changes by (1.01)^10 = 1.105 times.
My question:
For the reverse, does it mean that median gestation (changes) reduces by a factor of exp(0.010410)^(-1)=0.9896 for each unit decrease in birthweight? And for a 10-unit decrease, median gestation changes by exp(0.010410)^(-10)=0.9011 times?
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