Multiple linear regression - explained with two simple examples

[@helenadesoba8894]

Alas! I found a video I could relate with well when it comes to multiple linear regression. The examples you used gave more clarity. Thanks so much

[@tedransom8087]

Thank you! I finally understood how to interpret the coefficients in a multiple linear regression model.

[@tilestats]

Great!

[@archer9056]

Best channel❤ but underrated .. Simple and intuitive explanation of complex concepts.. ❤

[@joyceks1882]

i've been looking for this example! so clear and well explained. thank you!!!

[@tilestats]

Thank you!

[@DasithDm]

this video understand more than others.... sooooo thank u and keep it up............... give example is beter way to undestand.... i kindly request videos that realated to Machine Learning 🥰

[@sehaj9035]

How did you came up with the new equation, please explain?!

[@fazlfazl2346]

Great explanation for interaction term. Thank you. One question though. Here you explained the meaning of interaction between a continuous variable and a categoric variable. How can we interpret the interaction when both the terms in the interaction are Continuous variables and when both the terms are Categoric variables?

[@MsJaguarundi]

Why do you change the example midway? You didn't explain how you calculated the equations.

[@hopelesssuprem1867]

thank u for a good explanation

[@MarinaOrgino]

Can I ask... Where did you get that 30.57 and 3.55?

[@tilestats]

Have a look at this video kzbin.info/www/bejne/qpKzp4mvf7uWlaM

[@tomgu1893]

if I had a category such as car dealer which has more than just two options (so I can't just put 0 and 1) how would I go about incorporating that?

[@tomgu1893]

say we had dealer a, dealer b and dealer c, where the difference is noticeable between them

[@khaingzar3136]

Which software is used to get the equation for model Price = constant + Age.Coefficient + Mileage.Coefficient ?

[@tilestats]

You have to create the equation on your own and then use the software to estimate the parameter values for the equation. I use R but you can use any other statistical software to get the same parameter values.

[@SantiagoValdezRoy]

How is the code “0” or “1” determined? What if you had a third category? Would it be “2”? Only part that I didn’t follow fully.

[@tilestats]

No, then you add an extra term in the equation. If term 1 = 0 and term 2 = 0 it will represent the baseline group(group 1) If term 1 = 1 and term 2 = 0 it will represent group 2, if term 1 = 0 and term 2 = 1, it will represent group 3.

[@fazlfazl2346]

This is a great video. Does this mean we are actually analyzing men and women differently as we get two different regression lines: one for men and one for women. How will this compare if we run the model stratified by Gender?

[@tilestats]

Yes, men and women are predicted differently by the model because they have separate regression lines.

[@dfdfgdfkih]

Well explained. Thanks a lot!

[@tilestats]

Thank you!

[@OMARRAFIQUE-oz5td]

Thank you for this. What if we code Gender as 'M' and 'F' and not 0 and 1. Then at 10.50, it will be 12.9xM and not 12.9x1. Then how can we include 12.9xM in the intercept? What I mean is that 0 and 1 in this case are factors, can we multiply 12.9 with a factor (treating factor as a numeric)? Also we can choose any other number instead of 0 and 1 e.g. 3 and 9. Then in this case the intercepts will be different. So, this seems arbitrary as the Gender intercepts depend on the way we choose the numbers?

[@tilestats]

You should always use 0 and 1 to recode a categorical variable because they represent absent or present. However, if you use a software, it will do this automatically.

[@asleyarmelllevado5352]

do you have the data to to solve the coefficients in your example ?

[@tilestats]

At minute 2:18, 7:03 and 12:38 you have all the data to reproduce the results, including estimating the coefficients.

[@asleyllevado3050]

I still can't get it where the data is where you calculate the b0 and b1 and b2

[@tilestats]

I do not show how to calculate the coefficients by hand. I simply plug in the data in a statistical software to compute these. In this video: kzbin.info/www/bejne/qpKzp4mvf7uWlaM I show how to calculate parameters by hand, but only for simple linear regression. For multiple linear regression it is a bit more calculations and I currently do not have a video on that.

[@nordanvinden5351]

Very good.

[@zu1fuqar]

but how to cumpute coefficients in multiple regression?

[@tilestats]

Use a software, or if you must do this by hand I would recommend this page: www.statology.org/multiple-linear-regression-by-hand/ I also have a video on OLS for simple linear regression: kzbin.info/www/bejne/qpKzp4mvf7uWlaM

[@salwaabbas549]

Thank you