# Multi modal Distribution

I have dependent monetary variable which is a lognormally distributed , i transformed it into log normally distributed using log function in R , after that mean and median has been very close. Now problem with one independent variable which has multimodal distribution. Do i need to convert this independent variable as log normally distributed as well? If yes how can i do this?

• No. There is no requirement that independent variable being normal distributed. – user158565 Jul 14 at 17:01
• thanks @user158565 , but what about scaling? After conversion of dependent variable , independent variable is on different scale. Do i need to convert this multimodal to log as well in order to get more linearity? – user172500 Jul 15 at 5:41
• Linear transformation (including scaling) on independent variable is meaningless. Non-linear transformation (including log) is needed if you find or know that there is non-linear relationship between dependent variable and independent variable. – user158565 Jul 15 at 5:46
• @user158565 make sense , last question if in my model some variable has linear relationship with dependent variable and some has non linear in that what should we chose? – user172500 Jul 15 at 9:24
• Keep the variables with linear relationship as they are; make the suitable transformations on variables with non-linear relationship. – user158565 Jul 15 at 13:19

## 1 Answer

No. There is no requirement that independent variable being normal distributed.

Linear transformation (including scaling) on independent variable is meaningless. Non-linear transformation (including log) is needed if you find or know that there is non-linear relationship between dependent variable and independent variable.

Keep the variables with linear relationship as they are; make the suitable transformations on variables with non-linear relationship.