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Mathematics/Linear Regression

Linear Regression

by sayshare 2023. 7. 23.
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What is Linear Regression?

Linear Regression is being used to make a prediction based on other variables. There are two types of variables in Linear Regression.

  • independent variable
  • dependent variable

eg a dataset of people with their favorite movie genre

Age Gender Genre
24 One Thriller
23 0 Action
12 0 Animation
30 One Comedy
16 One Animation

According to this dataset, age and gender are independent variables while genre is a dependent variable. By applying Linear Regression to this dataset, we can come up with the model to best predict a person's favorite movie genre by providing age and gender.

Type of Linear Regression

  • Simple Linear Regression
  • Multiple Linear Regressions

Simple Linear Regression

In Simple Linear Regression, there is only one independent variable and one corresponding dependent variable. Simple Linear Regression can be written as:

  y = a + bx + ε 

  • a: y interceptor
  • b: coefficient or slope
  • ε(Epsilon): error

Dataset:

https://www.kaggle.com/datasets/peterkmutua/student-hours-scores

 

 

Multiple Linear Regression

In Multiple Linear Regression, we can find the relationship between 2 or more independent variables. 

 

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