Timeline for Interpreting regression coefficients when dependent variable is percentage
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 31, 2022 at 18:06 | comment | added | seanv507 | no the approximation is the claim that exp(b) is approximately 1+b, which depends on b being small | |
| Oct 31, 2022 at 18:05 | comment | added | seanv507 | y changes by 36% (not 0.36%) | |
| Oct 31, 2022 at 17:35 | history | edited | Dave | CC BY-SA 4.0 | added 97 characters in body |
| Oct 31, 2022 at 17:27 | comment | added | chunguc1004 | @seanv507 Also, by looking at exp(π§+π)/exp(π§)β1=exp(π)β1βΌπ. it seems like you are talking about if the z value is small enough rather than b? which is the coefficient. (My math is rusty.. so sorry if I'm making dumb questions.. but really appreciate any help!) | |
| Oct 31, 2022 at 17:27 | comment | added | chunguc1004 | @seanv507 Thanks for your comment! But I meant the raw b value. So if the beta value is 0.36, then you're saying that as long as the coefficient is small enough, I can interpret it as if x changes by 1 unit y changes by 0.36%? | |
| Oct 31, 2022 at 11:09 | comment | added | seanv507 | its approximately correct (for small coefficients). if we define $z$ as your log transformed value, then your proportion change is $\exp(z + b)/\exp(z) -1=\exp(b) -1\sim b$ by Taylor expansion of exponential. | |
| Oct 31, 2022 at 6:09 | vote | accept | chunguc1004 | ||
| Oct 31, 2022 at 6:08 | comment | added | chunguc1004 | Thank you for your comment! One other question I have is, if you look at this post (stats.stackexchange.com/questions/549830/…) the answer says that if a dependent variable is logged transform, then b is the % change in y when x changes by 1 unit. However, isn't that incorrect? I thought that we have to exponentiate the coefficient and subtract 1 and multiply by 100 to get the percentage.. | |
| Oct 31, 2022 at 5:27 | history | edited | Dave | CC BY-SA 4.0 | added 350 characters in body |
| Oct 31, 2022 at 5:20 | history | answered | Dave | CC BY-SA 4.0 |