How to Implement Simple Linear Regression from Scratch in Python

How to Implement Simple Linear Regression from Scratch in Python

In this post we are going to see how to implement simple linear regression from scratch in Python. Simple linear regression is a concept that you may be familiar with already from middle school or high school.

Simple linear regression is a concept that you may be familiar with already from middle school or high school. If you have ever heard of a slope and an intercept, or y = mx + b, then you have already learned about simple linear regression!What is Simple Linear Regression?Simple linear regression is a statistical method that we can use to find a relationship between two variables and make predictions. The two variables used are typically denoted as y and x.The independent variable, or the variable used to predict the dependent variable is denoted as x. The dependent variable, or the outcome/output, is denoted as y.A simple linear regression model will produce a line of best fit, or the regression line. You may have heard about drawing the line of best fit through a scatter plot of data. For example, let's say we have a scatter plot showing how years of experience affect salaries. Imagine drawing a line to predict the trend.

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The simple linear regression equation we will use is written below. The constant is the y-intercept (𝜷0), or where the regression line will start on the y-axis. The beta coefficient (𝜷1) is the slope and describes the relationship between the independent variable and the dependent variable. The coefficient can be positive or negative and is the degree of change in the dependent variable for every 1-unit of change in the independent variable.

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For example, let's say we have a regression equation of y = 2 + 0.5x. For every 1-unit increase in the independent variable (x), there will be a 0.50 increase in the dependent variable (y).Simple Linear Regression Using PythonFor this example, we will be using salary data from Kaggle. The data consists of two columns, years of experience and the corresponding salary. The data can be found here.

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Data Science Projects | Data Science | Machine Learning | Python

Practice your skills in Data Science with Python, by learning and then trying all these hands-on, interactive projects, that I have posted for you.

Data Science Projects | Data Science | Machine Learning | Python

Practice your skills in Data Science with Python, by learning and then trying all these hands-on, interactive projects, that I have posted for you.

Data Science Projects | Data Science | Machine Learning | Python

Practice your skills in Data Science with Python, by learning and then trying all these hands-on, interactive projects, that I have posted for you.

Data Science Projects | Data Science | Machine Learning | Python

Practice your skills in Data Science with Python, by learning and then trying all these hands-on, interactive projects, that I have posted for you.