Lecture Note
University
University of California San DiegoCourse
DSC 207R | Python for Data SciencePages
2
Academic year
2023
anon
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5
Linear Regression Now We'll Discuss Linear Regression: A Powerful and PopularAlgorithm A popular statistical technique that can assist us in modeling and analyzing the relationships between variables is linear regression. When we wish to forecast a continuousoutput variable based on one or more input variables, this method comes in extremelyhandy. We will examine what linear regression is, how it functions, and why it is so effectivein this post. You'll have a thorough understanding of linear regression and its uses by theend of this article. What is Linear Regression? A statistical technique for simulating the relationship between a dependent variable and one or more independent variables is linear regression. Finding the best-fit line across a setof data points that shows the connection between the dependent variable and theindependent variable is the objective of linear regression (s). Several disciplines, including economics, engineering, physics, and social sciences, frequently employ linear regression. It is especially helpful in data analysis and machinelearning, where it may be used to forecast the future and spot data trends. How Does Linear Regression Work? Finding the best-fit line through a set of data points is how linear regression functions. The relationship between the dependent and independent variables is shown by this line (s). Byminimizing the sum of the squared discrepancies between the observed data points and thepredicted values of the dependent variable, the best-fit line is found. The least squares method is the most used technique for determining the best-fit line. By using this technique, you can discover the line that minimizes the sum of the squareddiscrepancies between the anticipated values of the dependent variable and the observeddata points. Types of Linear Regression There are two main types of linear regression: simple linear regression and multiple linear regression. Simple linear regression is used when we want to model the relationship between a dependent variable and a single independent variable. For example, we might want topredict a person's weight based on their height.
When we wish to simulate the relationship between a dependent variable and a number of independent factors, we utilize multiple linear regression. For instance, depending on aperson's age, education, and work experience, we could want to estimate their salary. Applications of Linear Regression Many real-world uses exist for linear regression, including: 1. Predictive modeling: Based on past data, linear regression can be used to forecast future events. 2. Analysis of trends: Linear regression can be used to spot data trends and forecast upcoming trends. 3. Risk evaluation: The risk connected to various variables can be evaluated using linear regression. 4. Linear regression can be used to track and manage a process's or a product's quality. Conclusion A potent and popular statistical technique for assessing and modeling the relationships between variables is linear regression. When predicting a continuous output variable basedon one or more input variables, it is especially helpful. The procedure involves selecting theline that best fits a given set of data points, where the line depicts the relationship betweenthe dependent and independent variables (s). Many real-world uses for linear regressionexist, such as predictive modeling, trend analysis, risk evaluation, and quality control. Thereare numerous online resources to get you started if you want to learn more about linearregression.
Unveiling The Power of Linear Regression
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