In reference to this question: interpreting level-log model that has a percentage variable
If I have a regression equation: child_test_score = 400 + 25log(family_income)
Is this the correct interpretation: A one percent increase in family_income is expected to increase child_test_score by 0.25 percentage points?
or
A one percent increase in family_income is expected to increase child_test_score by 0.25 points (0.25 units)?
or both? I tend to see the latter interpretation so I am wondering if the former interpretation is incorrect.
Thanks