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It does this by analyzing past data that shows the independent variable in correlation with the dependent variable. The two variables in the lemonade stand scenario I described before would be the temperature(the independent variable x), and the profit(the dependent variable y).īut how does a regressor(regression model) find the relationship between two variables? How Does Simple Linear Regression Work? Model RepresentationĪ simple linear regression algorithm tries to find a linear relationship between two variables. In other words, it finds the relationship between an independent and dependent variable to make future predictions. One factor that you might want to to account for is be the temperature outside, because the hotter it is, the more likely you are to make a larger profit margin.Ī simple linear regression model takes into consideration the temperature, and after some “magic” it returns an output value: the profit. 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