Machine Learning Exercise With Mathematics
Machine learning is a field of artificial intelligence that utilizes mathematical algorithms to analyze and interpret data in order to make predictions or decisions. One popular method of machine learning is multiple linear regression, which is used to model the relationship between multiple independent variables and a single dependent variable.
What is Multiple Linear Regression?
Multiple linear regression is a statistical technique that models the relationship between multiple independent variables (X) and a single dependent variable (Y). The equation for a multiple linear regression model is Y = b0 + b1X1 + b2X2 + … + bnXn, where b0 is the intercept and b1, b2, …, bn are the coefficients for each independent variable.
How Does Multiple Linear Regression Work?
In order to build a multiple linear regression model, the coefficients (b1, b2, …, bn) are estimated using a mathematical technique called least squares regression. This technique minimizes the sum of the squared differences between the observed values of the dependent variable and the values predicted by the model.
Exercise: Predicting House Prices
For example, let’s say we want to predict house prices based on the size of the house (X1), the number of bedrooms (X2), and the neighborhood (X3). We can build a multiple linear regression model using the equation Y = b0 + b1X1 + b2X2 + b3X3, where Y is the predicted house price.
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