Linear regression

Capítulo 30

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Linear regression is a statistical technique used to analyze the relationship between two variables. It is widely used in areas such as economics, engineering, computer science and other areas involving data analysis.

In linear regression, the independent variable is called x and the dependent variable is called y. The goal is to find a mathematical equation that describes the relationship between these two variables. This equation is called a regression equation.

The regression equation is a line that represents the relationship between the two variables. It is calculated using the method of least squares, which consists of minimizing the sum of squares of the differences between the observed values ​​and the values ​​predicted by the regression equation.

There are two types of linear regression: simple and multiple. In simple linear regression, there is only one independent variable and one dependent variable. In multiple linear regression, there is more than one independent variable and one dependent variable.

Linear regression is a very useful tool for predicting future values ​​based on historical data. For example, if you have sales data for a company over the last few months, you can use linear regression to forecast sales for the next few months.

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It is important to remember that linear regression assumes that the relationship between variables is linear. This means that the relationship between the variables must be represented by a straight line. If the relationship between the variables is not linear, linear regression is not a good technique to analyze this relationship.

In summary, linear regression is a very useful statistical technique for analyzing the relationship between two variables. It is widely used in areas such as economics, engineering, computer science and other areas involving data analysis. It is important to remember that linear regression assumes that the relationship between the variables is linear and that there are two types of linear regression: simple and multiple.

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_What is the purpose of linear regression?

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Linear regression aims to find a mathematical equation that describes the relationship between two variables. The method uses these equations to show how one variable can predict or explain changes in another. While it can be used for prediction, its primary purpose is to identify this direct relationship. This is clearly indicated in the text, particularly where it discusses the goal of finding a regression equation.

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